project.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/site-packages/sklearn/cross_validation.py:41: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
      "  \"This module will be removed in 0.20.\", DeprecationWarning)\n",
      "/usr/local/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
      "  from pandas.core import datetools\n"
     ]
    }
   ],
   "source": [
    "#Good IDea for the future\n",
    "#Let's plot a heatmap of taxi pickups in San Francisco:\n",
    "\n",
    "\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib as mplt\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as stats\n",
    "\n",
    "import scipy\n",
    "\n",
    "import time\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn import decomposition\n",
    "\n",
    "\n",
    "from sklearn.neighbors import NearestNeighbors\n",
    "from sklearn import neighbors, cross_validation\n",
    "\n",
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "import statsmodels.api as sm\n",
    "from sklearn import linear_model\n",
    "\n",
    "from matplotlib import style \n",
    "style.use('ggplot')\n",
    "\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Pickup Date  Pickup Time  Dropoff Date Dropoff Time Vendor ID  \\\n",
      "0  2015-01-01  0:00:00.000      20150101  0:00:00.000       VTS   \n",
      "1  2015-01-01  0:00:00.000      20150101  0:00:00.000       VTS   \n",
      "2  2015-01-01  0:00:00.000      20150101  0:11:26.000       CMT   \n",
      "3  2015-01-01  0:00:01.000      20150101  0:03:49.000       CMT   \n",
      "4  2015-01-01  0:00:03.000      20150101  0:10:50.000       VTS   \n",
      "\n",
      "   Passenger Count  Trip Distance (in miles)  Pickup Longitude  \\\n",
      "0                1                      1.68        -73.991547   \n",
      "1                3                      1.56        -74.001320   \n",
      "2                5                      4.00        -73.971436   \n",
      "3                1                      0.80        -73.860847   \n",
      "4                1                      1.58        -73.987579   \n",
      "\n",
      "   Pickup Latitude  Rate Code   ...    Dropoff Latitude  Payment Type  \\\n",
      "0        40.750069          1   ...            0.000000           CSH   \n",
      "1        40.729057          1   ...           40.719662           CRD   \n",
      "2        40.760201          1   ...           40.768269           CSH   \n",
      "3        40.757294          1   ...           40.752285           CSH   \n",
      "4        40.765270          1   ...           40.776970           CRD   \n",
      "\n",
      "   Fare Amount Surcharge  MTA Tax  Tip Amount  Tolls Amount  Total Amount  \\\n",
      "0         10.0       0.0      0.5         0.0           0.0          10.8   \n",
      "1          7.5       0.5      0.5         0.0           0.0           8.8   \n",
      "2         13.5       0.5      0.5         0.0           0.0          14.5   \n",
      "3          5.0       0.5      0.5         0.0           0.0           6.3   \n",
      "4          9.0       0.5      0.5         1.9           0.0          12.2   \n",
      "\n",
      "   Trip time  new_col  \n",
      "0   0.019935        0  \n",
      "1  -1.802970        1  \n",
      "2   0.366903        2  \n",
      "3   0.425778        3  \n",
      "4   1.019268        4  \n",
      "\n",
      "[5 rows x 22 columns]\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 727310 entries, 0 to 727309\n",
      "Data columns (total 22 columns):\n",
      "Pickup Date                 727310 non-null datetime64[ns]\n",
      "Pickup Time                 727310 non-null object\n",
      "Dropoff Date                727310 non-null int64\n",
      "Dropoff Time                727310 non-null object\n",
      "Vendor ID                   727310 non-null object\n",
      "Passenger Count             727310 non-null int64\n",
      "Trip Distance (in miles)    727310 non-null float64\n",
      "Pickup Longitude            727310 non-null float64\n",
      "Pickup Latitude             727310 non-null float64\n",
      "Rate Code                   727310 non-null int64\n",
      "Store and Forward Flag      727310 non-null object\n",
      "Dropoff Longitude           727310 non-null float64\n",
      "Dropoff Latitude            727310 non-null float64\n",
      "Payment Type                727310 non-null object\n",
      "Fare Amount                 727310 non-null float64\n",
      "Surcharge                   727310 non-null float64\n",
      "MTA Tax                     727310 non-null float64\n",
      "Tip Amount                  727310 non-null float64\n",
      "Tolls Amount                727310 non-null float64\n",
      "Total Amount                727310 non-null float64\n",
      "Trip time                   727310 non-null float64\n",
      "new_col                     727310 non-null int64\n",
      "dtypes: datetime64[ns](1), float64(12), int64(4), object(5)\n",
      "memory usage: 122.1+ MB\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "        text-align: right;\n",
       "    }\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Dropoff Date</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Pickup Longitude</th>\n",
       "      <th>Pickup Latitude</th>\n",
       "      <th>Rate Code</th>\n",
       "      <th>Dropoff Longitude</th>\n",
       "      <th>Dropoff Latitude</th>\n",
       "      <th>Fare Amount</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>MTA Tax</th>\n",
       "      <th>Tip Amount</th>\n",
       "      <th>Tolls Amount</th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Trip time</th>\n",
       "      <th>new_col</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>7.273100e+05</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>7.273100e+05</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2.015010e+07</td>\n",
       "      <td>1.783453</td>\n",
       "      <td>1.959882e+01</td>\n",
       "      <td>-72.425570</td>\n",
       "      <td>39.897802</td>\n",
       "      <td>1.045149</td>\n",
       "      <td>-72.440314</td>\n",
       "      <td>39.907709</td>\n",
       "      <td>12.417926</td>\n",
       "      <td>0.329787</td>\n",
       "      <td>0.497078</td>\n",
       "      <td>1.280769</td>\n",
       "      <td>0.258895</td>\n",
       "      <td>15.081973</td>\n",
       "      <td>0.002949</td>\n",
       "      <td>363654.50000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>5.124534e-01</td>\n",
       "      <td>1.361950</td>\n",
       "      <td>1.407088e+04</td>\n",
       "      <td>10.585702</td>\n",
       "      <td>5.831541</td>\n",
       "      <td>0.628995</td>\n",
       "      <td>10.535020</td>\n",
       "      <td>5.824130</td>\n",
       "      <td>11.253458</td>\n",
       "      <td>0.344260</td>\n",
       "      <td>0.040088</td>\n",
       "      <td>2.473669</td>\n",
       "      <td>1.307798</td>\n",
       "      <td>13.160194</td>\n",
       "      <td>0.998821</td>\n",
       "      <td>209956.45648</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>2.015010e+07</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>-79.732277</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-77.459442</td>\n",
       "      <td>-9.029157</td>\n",
       "      <td>-100.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-0.500000</td>\n",
       "      <td>-92.420000</td>\n",
       "      <td>-8.000000</td>\n",
       "      <td>-100.300000</td>\n",
       "      <td>-4.831388</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.015010e+07</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.090000e+00</td>\n",
       "      <td>-73.991249</td>\n",
       "      <td>40.733257</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-73.990837</td>\n",
       "      <td>40.732002</td>\n",
       "      <td>6.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>-0.670601</td>\n",
       "      <td>181827.25000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2.015010e+07</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.830000e+00</td>\n",
       "      <td>-73.981209</td>\n",
       "      <td>40.752293</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-73.979294</td>\n",
       "      <td>40.752449</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>11.150000</td>\n",
       "      <td>0.003252</td>\n",
       "      <td>363654.50000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2.015010e+07</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>3.440000e+00</td>\n",
       "      <td>-73.965103</td>\n",
       "      <td>40.767391</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-73.959824</td>\n",
       "      <td>40.768417</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>1.950000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>16.800000</td>\n",
       "      <td>0.677234</td>\n",
       "      <td>545481.75000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2.015012e+07</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>1.200000e+07</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>50.769863</td>\n",
       "      <td>99.000000</td>\n",
       "      <td>85.274025</td>\n",
       "      <td>459.533325</td>\n",
       "      <td>3005.500000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>850.000000</td>\n",
       "      <td>89.750000</td>\n",
       "      <td>3006.350000</td>\n",
       "      <td>4.608342</td>\n",
       "      <td>727309.00000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Dropoff Date  Passenger Count  Trip Distance (in miles)  \\\n",
       "count  7.273100e+05    727310.000000              7.273100e+05   \n",
       "mean   2.015010e+07         1.783453              1.959882e+01   \n",
       "std    5.124534e-01         1.361950              1.407088e+04   \n",
       "min    2.015010e+07         0.000000              0.000000e+00   \n",
       "25%    2.015010e+07         1.000000              1.090000e+00   \n",
       "50%    2.015010e+07         1.000000              1.830000e+00   \n",
       "75%    2.015010e+07         2.000000              3.440000e+00   \n",
       "max    2.015012e+07         9.000000              1.200000e+07   \n",
       "\n",
       "       Pickup Longitude  Pickup Latitude      Rate Code  Dropoff Longitude  \\\n",
       "count     727310.000000    727310.000000  727310.000000      727310.000000   \n",
       "mean         -72.425570        39.897802       1.045149         -72.440314   \n",
       "std           10.585702         5.831541       0.628995          10.535020   \n",
       "min          -79.732277         0.000000       1.000000         -77.459442   \n",
       "25%          -73.991249        40.733257       1.000000         -73.990837   \n",
       "50%          -73.981209        40.752293       1.000000         -73.979294   \n",
       "75%          -73.965103        40.767391       1.000000         -73.959824   \n",
       "max            0.000000        50.769863      99.000000          85.274025   \n",
       "\n",
       "       Dropoff Latitude    Fare Amount      Surcharge        MTA Tax  \\\n",
       "count     727310.000000  727310.000000  727310.000000  727310.000000   \n",
       "mean          39.907709      12.417926       0.329787       0.497078   \n",
       "std            5.824130      11.253458       0.344260       0.040088   \n",
       "min           -9.029157    -100.000000      -1.000000      -0.500000   \n",
       "25%           40.732002       6.500000       0.000000       0.500000   \n",
       "50%           40.752449       9.000000       0.500000       0.500000   \n",
       "75%           40.768417      14.000000       0.500000       0.500000   \n",
       "max          459.533325    3005.500000       9.000000       0.500000   \n",
       "\n",
       "          Tip Amount   Tolls Amount   Total Amount      Trip time  \\\n",
       "count  727310.000000  727310.000000  727310.000000  727310.000000   \n",
       "mean        1.280769       0.258895      15.081973       0.002949   \n",
       "std         2.473669       1.307798      13.160194       0.998821   \n",
       "min       -92.420000      -8.000000    -100.300000      -4.831388   \n",
       "25%         0.000000       0.000000       8.000000      -0.670601   \n",
       "50%         0.000000       0.000000      11.150000       0.003252   \n",
       "75%         1.950000       0.000000      16.800000       0.677234   \n",
       "max       850.000000      89.750000    3006.350000       4.608342   \n",
       "\n",
       "            new_col  \n",
       "count  727310.00000  \n",
       "mean   363654.50000  \n",
       "std    209956.45648  \n",
       "min         0.00000  \n",
       "25%    181827.25000  \n",
       "50%    363654.50000  \n",
       "75%    545481.75000  \n",
       "max    727309.00000  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.DataFrame.from_csv(\"/Users/raphaelpresberg/Desktop/Stevens/BIA 652 Multivariate Data Analysis/NYC_Taxis/NYC_taxis.csv\")\n",
    "\n",
    "\n",
    "#data understanding\n",
    "data.head()\n",
    "data.tail(10)\n",
    "sLength = len(data['Pickup Time'])\n",
    "data['Trip time'] = pd.Series(np.random.randn(sLength), index = data.index)\n",
    "data['new_col'] = range(0, sLength)\n",
    "data = data.reset_index()\n",
    "data['new_col'] = data.index\n",
    "print(data.head())\n",
    "data.info()\n",
    "data.describe()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def basics_info (initial_numpy_array):\n",
    "    print(\"Mean: \", np.mean(initial_numpy_array))\n",
    "    #median cost of a trip without @ without taxes\n",
    "    print(\"Median: \", np.median(initial_numpy_array))\n",
    "    #The numpy.ptp() function returns the range (maximum-minimum) of values along an axis.\n",
    "    print(\"Range: \", np.ptp(initial_numpy_array))\n",
    "    #standard deviation & variance\n",
    "    print(\"SD: \", np.std(initial_numpy_array))\n",
    "    print(\"Variance: \", np.var(initial_numpy_array))\n",
    "    plt.plot(initial_numpy_array)\n",
    "    plt.show() \n",
    "\n",
    "\n",
    "#removing outliers and compute the distribution plot\n",
    "\n",
    "def removeOutliers(x):\n",
    "    a = np.array(x)\n",
    "    outlierConstant = 1\n",
    "    upper_quartile = np.percentile(a, 75)\n",
    "    lower_quartile = np.percentile(a, 25)\n",
    "    IQR = (upper_quartile - lower_quartile) * outlierConstant\n",
    "    quartileSet = (lower_quartile - IQR, upper_quartile + IQR)\n",
    "    resultList = []\n",
    "    for y in a.tolist():\n",
    "        if y >= quartileSet[0] and y <= quartileSet[1]:\n",
    "            resultList.append(y)\n",
    "    return resultList\n",
    "\n",
    "def prob_plot(variable):\n",
    "    \n",
    "    mu = np.mean(variable)\n",
    "    sigma = np.std(variable)\n",
    "\n",
    "    mu, sigma = mu, sigma\n",
    "    x = mu + sigma * np.array(variable)\n",
    "\n",
    "    # the histogram of the data\n",
    "    n, bins, patches = plt.hist(x, 50, normed=1, facecolor='g', alpha=0.95)\n",
    "\n",
    "\n",
    "    plt.xlabel(\"Prob \")\n",
    "    plt.ylabel('Probability')\n",
    "    plt.title('Proba Plot')\n",
    "   # plt.text(60, .025, r'$\\mu=100,\\ \\sigma=15$')\n",
    "    plt.axis([20, 190, 0, 0.03])\n",
    "    plt.grid(True)\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "def prob_plot_trip_distance(variable):\n",
    "    \n",
    "    mu = np.mean(variable)\n",
    "    sigma = np.std(variable)\n",
    "\n",
    "    mu, sigma = mu, sigma\n",
    "    x = mu + sigma * np.array(variable)\n",
    "\n",
    "    # the histogram of the data\n",
    "    n, bins, patches = plt.hist(x, 50, normed=1, facecolor='g', alpha=0.95)\n",
    "\n",
    "\n",
    "    plt.xlabel(\"Prob \")\n",
    "    plt.ylabel('Probability')\n",
    "    plt.title('Proba Plot')\n",
    "   # plt.text(60, .025, r'$\\mu=100,\\ \\sigma=15$')\n",
    "    plt.axis([0, 11, 0, 0.6])\n",
    "    plt.grid(True)\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "    \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BEFORE\n",
      "Mean:  15.0819733951\n",
      "Median:  11.15\n",
      "Range:  3106.65\n",
      "SD:  13.1601852748\n",
      "Variance:  173.190476467\n"
     ]
    },
    {
     "data": {
      "image/png": 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qtOvuWpeL72XxJfQ1D9dfbPcHqN0fYIp/tfHyuz9A++Hky99RNxeG1dbnXZef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\nhBDCoCQBCCGEQUkCEEIIg/r/k8/dS9FlpacAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109b09940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AFTER\n",
      "Mean:  11.4407643417\n",
      "Median:  10.3\n",
      "Range:  25.91\n",
      "SD:  4.82675778927\n",
      "Variance:  23.2975907562\n"
     ]
    },
    {
     "data": {
      "image/png": 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4cEGuWrVKWq3WHvcrR22466OPPpKFhYXylVde6XG5gVZ7Tk6OrKur6zQsGPYZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x102d39a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HWFgYQkNDodPpkJiYiMrKSrs2VVVVSE5OBgAkJCSgpqYGQghUVlYiMTERnp6e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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c4502b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#STUDY FOR TOTAL AMOUNT \n",
    "#*******************************************\n",
    "total_amount= np.array(data['Total Amount'])\n",
    "\n",
    "print(\"BEFORE\")\n",
    "basics_info(total_amount)\n",
    "#prob_plot(total_amount)\n",
    "good_total_amount = removeOutliers(total_amount)\n",
    "\n",
    "print(\"AFTER\")\n",
    "basics_info(good_total_amount)\n",
    "prob_plot(good_total_amount)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean:  12.4179262625\n",
      "Median:  9.0\n",
      "Range:  3105.5\n",
      "SD:  11.2534498698\n",
      "Variance:  126.640133973\n"
     ]
    },
    {
     "data": {
      "image/png": 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BSQAIIYRBSQAIIYRBSQAIIYRBSQAIIYRBSQAIIYRBSQAIIYRBSQAIIYRBSQAIIYRBSQAI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\nxqhRo/Dz86NHjx6Eh4dz9Oj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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108573eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CxYsXY9KkSQCA5ORkDB8+HC4uLtBoNMjIyFDrdsgJcQ4LkeOpklSsVityc3OR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\nKkREpJj/AyXaeQ5JePSfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109302588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#STUDY FOR FARE AMOUNT \n",
    "#*******************************************\n",
    "fare_amount = np.array(data['Fare Amount'])\n",
    "\n",
    "\n",
    "basics_info(fare_amount)\n",
    "good_fair_amount = removeOutliers(data[['Fare Amount']])\n",
    "prob_plot(good_fair_amount)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean:  1.28076858561\n",
      "Median:  0.0\n",
      "Range:  942.42\n",
      "SD:  2.4736673798\n",
      "Variance:  6.11903030587\n"
     ]
    },
    {
     "data": {
      "image/png": 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FH9woDvjajUYjGhsdb/TGxkYYjcZ+82VlZSEryzE0r6HBj9EBhpEYXbLZv2V9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\n9SrSSEjMKAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c8ea518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean:  0.802575791906\n",
      "Median:  0.0\n",
      "Range:  3.9\n",
      "SD:  1.05124303358\n",
      "Variance:  1.10511191564\n"
     ]
    },
    {
     "data": {
      "image/png": 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JLAUiIpJYCkREJGmwFPjdR0REatFgKRARkVoC3nmtoqICDQ0NiI2NRUlJyZjnm5ubcfDg\nQcTHxwMAVq5cie3bt099UiIiUl3AUsjJycHGjRtRXl4+7pj7778fhYWFUxqMiIimX8DTR0uWLEF0\ndPR0ZCEiohkW8EhhIlpbW7F//37ExcVh586dWLBgwVRsloiIptk9l8LChQtRUVGByMhINDQ04NCh\nQzh69Ogdx9rtdtjtdgBAcXExLBZL0PN1QbmnvEREoSDY/Z9er5/UPjNY91wKBoNB/rx8+XIcP34c\nt27dQkxMzJixNpsNNptNLjscjknMyLekEpH2Bbv/s1gscDgcSExMVCnRiHt+S2pvby/EN/dNbmtr\ng8/ng9FovOdgREQ0/QIeKZSWluLSpUtwu9148sknkZeXB4/HAwBYv3496urq8P7770On0yEiIgIF\nBQVQFJ7iISLSIkWM/pk/Azo6OoJex/vUNuCbUiIi0irda28FNV4zp4+IiOi7Q3ulwOvMRESq0V4p\nEBGRalgKREQksRSIiEhiKRARkcRSICIiiaVAREQSS4GIiCSWAhERSSwFIiKSWApERCRpsBT4PRdE\nRGrRYCkQEZFaWApERCSxFIiISGIpEBGRFPB2nBUVFWhoaEBsbCxKSkrGPC+EQFVVFRobGzFr1izk\n5+cjJSVFlbBERKSugEcKOTk5ePHFF8d9vrGxEZ2dnTh69CieeOIJvP7661MakIiIpk/AUliyZAmi\no6PHfb6+vh6rV6+GoihIS0tDX18fenp6pjQkERFNj4CnjwJxuVywWCxy2Ww2w+VyIS4ubsxYu90O\nu90OACguLvZbb6K6Jh+ViChkBLv/0+v1k9pnBuueSyEYNpsNNptNLjscjumcnogoZAS7/7NYLHA4\nHEhMTFQp0Yh7fveRyWTy++WcTidMJtO9bpaIiGbAPZeC1WpFTU0NhBBobW2FwWC446kjIiIKfQFP\nH5WWluLSpUtwu9148sknkZeXB4/HAwBYv349li1bhoaGBuzbtw8RERHIz89XN7Hgdx8REaklYCkU\nFBTc9XlFUfD4449PWSAiIpo5/EQzERFJLAUiIpJYCkREJLEUiIhIYikQEZHEUiAiIomlQEREEkuB\niIgklgIREUksBSIikrRXCvzqIyIi1WivFIiISDUsBSIiklgKREQksRSIiEhiKRARkRTwJjsA0NTU\nhKqqKvh8PuTm5mLr1q1+z1dXV+PkyZPy3swbN25Ebm7u1KclIiJVBSwFn8+H48eP4+c//znMZjNe\neOEFWK1WzJ8/329cdnY2HnvsMdWCEhGR+gKePmpra8PcuXORkJAAvV6P7OxsnDt3bjqyERHRNAt4\npOByuWA2m+Wy2WzGlStXxoz75JNPcPnyZcybNw+PPPIILBbL1CYlIiLVTeiaQiCZmZl44IEHEB4e\njg8++ADl5eUoKioaM85ut8NutwMAiouLJ1UcXQr4qWYi0rxg9396vX5a/tgOWAomkwlOp1MuO51O\neUF5lNFolD/n5ubijTfeuOO2bDYbbDabXHY4HEEHhmAjEJH2Bbv/s1gscDgcSExMVCnRiIDXFFJT\nU3Hjxg10d3fD4/GgtrYWVqvVb0xPT4/8ub6+fsxFaCIi0oaARwo6nQ67d+/GgQMH4PP5sHbtWixY\nsACnT59GamoqrFYr3n33XdTX10On0yE6Ohr5+fnTkZ2IiKaYIsTMnY/p6OgIeh3vE//EU0hEpHm6\n194KanzInD4iIqLvD5YCERFJLAUiIpJYCkREJLEUiIhIYikQEZHEUiAiIomlQEREkvZKgR9cIyJS\njfZKgYiIVMNSICIiiaVAREQSS4GIiCSWAhERSSwFIiKSWApERCQFvPMaADQ1NaGqqgo+nw+5ubnY\nunWr3/PDw8MoKyvDtWvXYDQaUVBQgPj4eFUCExGRegIeKfh8Phw/fhwvvvgijhw5go8//hhffvml\n35izZ88iKioKx44dw+bNm3Hq1CnVAhMRkXoClkJbWxvmzp2LhIQE6PV6ZGdn49y5c35j6uvrkZOT\nAwDIysrCxYsXMYN3+SQiokkKWAoulwtms1kum81muFyuccfodDoYDAa43e4pjkpERGqb0DWFqWK3\n22G32wEAxcXFsFgsQW/j66Ij6P3FM1MdjYho2sxa8SPMCXL/p9frJ7XPDFbAUjCZTHA6nXLZ6XTC\nZDLdcYzZbIbX60V/fz+MRuOYbdlsNthsNrnscDiCTzw/FQlnaie37gyzWCyay63FzIA2czPz9Jnp\n3B4Ev/8bzZyYmKhOqG8EPH2UmpqKGzduoLu7Gx6PB7W1tbBarX5jMjMzUV1dDQCoq6tDeno6FEVR\nJTAREakn4JGCTqfD7t27ceDAAfh8PqxduxYLFizA6dOnkZqaCqvVinXr1qGsrAx79+5FdHQ0CgoK\npiM7ERFNsQldU1i+fDmWL1/u99jPfvYz+XNERASeffbZqU1GRETTjp9oJiIiiaVAREQSS4GIiCSW\nAhERSSwFIiKSFMEvKSIiom9o8kihsLBwpiNMihZzazEzoM3czDx9tJh7ujJrshSIiEgdLAUiIpJ0\nL7/88sszHWIyUlJSZjrCpGgxtxYzA9rMzczTR4u5pyMzLzQTEZHE00dERCRN6012pkJTUxOqqqrg\n8/mQm5uLrVu3qj5nRUUFGhoaEBsbi5KSEgDA7du3ceTIEXz11Ve477778MwzzyA6OhpCCFRVVaGx\nsRGzZs1Cfn6+POSrrq7Gm2++CQDYtm2bvIXptWvXUF5ejqGhISxbtgyPPvooFEUZd46JcDgcKC8v\nR29vLxRFgc1mw6ZNm0I+99DQEIqKiuDxeOD1epGVlYW8vDx0d3ejtLQUbrcbKSkp2Lt3L/R6PYaH\nh1FWVoZr167BaDSioKAA8fHxAIAzZ87g7NmzCAsLw6OPPoqMjAwA47+Gxptjonw+HwoLC2EymVBY\nWBjymffs2YPIyEiEhYVBp9OhuLg45F8fANDX14fKykpcv34diqLgqaeeQmJiYsjm7ujowJEjR+Ry\nd3c38vLysGbNmtDMLDTE6/WKp59+WnR2dorh4WHx3HPPievXr6s+b3Nzs7h69ap49tln5WMnT54U\nZ86cEUIIcebMGXHy5EkhhBDnz58XBw4cED6fT7S0tIgXXnhBCCGE2+0We/bsEW632+9nIYQoLCwU\nLS0twufziQMHDoiGhoa7zjERLpdLXL16VQghRH9/v9i3b5+4fv16yOf2+XxiYGBACCHE8PCweOGF\nF0RLS4soKSkRH330kRBCiFdffVW89957Qgghfv/734tXX31VCCHERx99JH7zm98IIYS4fv26eO65\n58TQ0JDo6uoSTz/9tPB6vXd9DY03x0S9/fbborS0VPz617++6/ZCJXN+fr64efOm32Oh/voQQohj\nx44Ju90uhBh5jdy+fVsTuYUY2Yc9/vjjoru7O2Qza+r0UVtbG+bOnYuEhATo9XpkZ2fj3Llzqs+7\nZMmSMe167tw5rFmzBgCwZs0amaO+vh6rV6+GoihIS0tDX18fenp60NTUhKVLlyI6OhrR0dFYunQp\nmpqa0NPTg4GBAaSlpUFRFKxevVpua7w5JiIuLk7+dTF79mwkJSXB5XKFfG5FURAZGQkA8Hq98Hq9\nUBQFzc3NyMrKAgDk5OT45R79aykrKwsXL16EEALnzp1DdnY2wsPDER8fj7lz56KtrW3c15AQYtw5\nJsLpdKKhoQG5ubkAcNfthUrmOwn110d/fz8uX76MdevWARi5RWVUVFTI5x712WefYe7cubjvvvtC\nNrOmTh+5XC6YzWa5bDabceXKlRnJcvPmTcTFxQEA5syZg5s3b8qM376PqtlshsvlGpPdZDLd8fHR\n8XebI1jd3d1ob2/HokWLNJHb5/Ph+eefR2dnJzZs2ICEhAQYDAbodDq/DKO5R3PodDoYDAa43W64\nXC4sXrx4TO7RrN/OfeXKFbjd7nHnmIgTJ07g4YcfxsDAAADcdXuhkhkADhw4AAD48Y9/DJvNFvKv\nj+7ubsTExKCiogJffPEFUlJSsGvXrpDPPerjjz/GAw88cNftzXRmTZVCqFIURfXbj052jsHBQZSU\nlGDXrl0wGAxTss1gTGaOsLAwHDp0CH19fTh8+DA6OjpUSjc1zp8/j9jYWKSkpKC5uXmm40zYL3/5\nS5hMJty8eRO/+tWvxtz7NxRfH16vF+3t7di9ezcWL16Mqqoq/O53v7unbU7GZObweDw4f/48duzY\nMSXbC9ZE59DU6SOTyQSn0ymXnU4nTCbTjGSJjY1FT08PAKCnpwcxMTEy47dvyD2a8a+zu1yuOz7+\n7d9pvDkmyuPxoKSkBA8++CBWrlypmdyjoqKikJ6ejtbWVvT398Pr9fplGM09msPr9aK/vx9GozHo\n3Eajcdw5AmlpaUF9fT327NmD0tJSXLx4ESdOnAjpzKM5gJH/XitWrEBbW1vIvz7MZjPMZrM8osrK\nykJ7e3vI5waAxsZGLFy4EHPmzLnr9mY6s6ZKITU1FTdu3EB3dzc8Hg9qa2thtVpnJIvVasWHH34I\nAPjwww+xYsUK+XhNTQ2EEGhtbYXBYEBcXBwyMjLw6aef4vbt27h9+zY+/fRTZGRkIC4uDrNnz0Zr\nayuEEKipqZG/03hzTIQQApWVlUhKSsKWLVs0k/vWrVvo6+sDMPJOpAsXLiApKQnp6emoq6sDMPIO\njNG5MjMzUV1dDQCoq6tDeno6FEWB1WpFbW0thoeH0d3djRs3bmDRokXjvoYURRl3jkB27NiByspK\nlJeXo6CgAD/4wQ+wb9++kM48ODgoT3UNDg7iwoULSE5ODvnXx5w5c2A2m+XR42effYb58+eHfG7A\n/9TR3bY305k19+G1hoYG/Pa3v4XP58PatWuxbds21ecsLS3FpUuX4Ha7ERsbi7y8PKxYsQJHjhyB\nw+EY83ay48eP49NPP0VERATy8/ORmpoKADh79izOnDkDYOTtZGvXrgUAXL16FRUVFRgaGkJGRgZ2\n794NRVHgdrvvOMdE/PGPf8RLL72E5ORkecj40EMPYfHixSGd+4svvkB5eTl8Ph+EEFi1ahW2b9+O\nrq4ulJaW4vbt21i4cCH27t2L8PBwDA0NoaysDO3t7YiOjkZBQQESEhIAAG+++Sb+8Ic/ICwsDLt2\n7cKyZcsAjP8aGm+OYDQ3N+Ptt99GYWFhSGfu6urC4cOHAYwcrfzoRz/Ctm3bxv1vFyqvDwD4/PPP\nUVlZCY/Hg/j4eOTn50MIEdK5BwcHkZ+fj7KyMnkaN1T/rTVXCkREpB5NnT4iIiJ1sRSIiEhiKRAR\nkcRSICIiiaVAREQSS4GIiCSWAhERSSwFIiKS/j8lu+s+iXX0MQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c4a0b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zDZMr53PlbIBr52O24VM6X2hoqEPjVDmnEhkZifb2dnR0dMBqtaKmpgYmk8lu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\nLBUiIlIMS4WIiBTDUiEiIsX8PxAT5hbMh/e8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c7fcd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#STUDY FOR TIP AMOUNT \n",
    "#*******************************************\n",
    "tip_amount = np.array(data['Tip Amount'])\n",
    "\n",
    "\n",
    "\n",
    "basics_info(tip_amount)\n",
    "good_tip_amount = removeOutliers(tip_amount)\n",
    "basics_info(good_tip_amount)\n",
    "\n",
    "prob_plot(good_tip_amount)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count    727310.000000\n",
      "mean          1.783453\n",
      "std           1.361950\n",
      "min           0.000000\n",
      "25%           1.000000\n",
      "50%           1.000000\n",
      "75%           2.000000\n",
      "max           9.000000\n",
      "Name: Passenger Count, dtype: float64\n",
      "Mean:  1.78345272305\n",
      "Median:  1.0\n",
      "Range:  9\n",
      "SD:  1.3619492225\n",
      "Variance:  1.85490568468\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10387d320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#STUDY FOR PASSENGER COUNT\n",
    "#*******************************************\n",
    "\n",
    "passenger_count = data.as_matrix(columns=data.columns[5:6])\n",
    "\n",
    "\n",
    "\n",
    "print(data['Passenger Count'].describe())\n",
    "basics_info(passenger_count)\n",
    "good_passenger_count = removeOutliers(passenger_count)\n",
    "#prob_plot_passenger_count(good_passenger_count)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BEFORE\n",
      "Mean:  19.5988161169\n",
      "Median:  1.83\n",
      "Range:  12000000.0\n",
      "SD:  14070.8739376\n",
      "Variance:  197989493.369\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x13fd037b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AFTER\n",
      "Mean:  1.94803034265\n",
      "Median:  1.6\n",
      "Range:  5.78\n",
      "SD:  1.26669997703\n",
      "Variance:  1.60452883182\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x13eef4c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HH3/E2LFjAQAajQYBAQEKV+V+giDg8uXLuHr1Ki5fvoz+/fsrXVKXu+uuu1qN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\nQBARkSQGBBERSWJAEBGRpP8HXHSWQ+I+VSwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13eef4ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#STUDY FOR TRIP DISTANCE\n",
    "#*******************************************\n",
    "\n",
    "trip_distance = data.as_matrix(columns=data.columns[6:7])\n",
    "\n",
    "print(\"BEFORE\")\n",
    "basics_info(trip_distance)\n",
    "good_trip_distance = removeOutliers(trip_distance)\n",
    "\n",
    "print(\"AFTER\")\n",
    "basics_info(good_trip_distance)\n",
    "prob_plot_trip_distance(good_trip_distance)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Pickup Date</th>\n",
       "      <th>Pickup Time</th>\n",
       "      <th>Dropoff Date</th>\n",
       "      <th>Dropoff Time</th>\n",
       "      <th>Vendor ID</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Pickup Longitude</th>\n",
       "      <th>Pickup Latitude</th>\n",
       "      <th>Rate Code</th>\n",
       "      <th>...</th>\n",
       "      <th>Dropoff Latitude</th>\n",
       "      <th>Payment Type</th>\n",
       "      <th>Fare Amount</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>MTA Tax</th>\n",
       "      <th>Tip Amount</th>\n",
       "      <th>Tolls Amount</th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Trip time</th>\n",
       "      <th>new_col</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:00.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:00:00.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.68</td>\n",
       "      <td>-73.991547</td>\n",
       "      <td>40.750069</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>CSH</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.019935</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:00.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:00:00.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>1.56</td>\n",
       "      <td>-74.001320</td>\n",
       "      <td>40.729057</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.719662</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>8.80</td>\n",
       "      <td>-1.802970</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:00.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:26.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>5</td>\n",
       "      <td>4.00</td>\n",
       "      <td>-73.971436</td>\n",
       "      <td>40.760201</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.768269</td>\n",
       "      <td>CSH</td>\n",
       "      <td>13.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14.50</td>\n",
       "      <td>0.366903</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:01.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:03:49.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.860847</td>\n",
       "      <td>40.757294</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.752285</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.30</td>\n",
       "      <td>0.425778</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:03.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:10:50.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.58</td>\n",
       "      <td>-73.987579</td>\n",
       "      <td>40.765270</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.776970</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.20</td>\n",
       "      <td>1.019268</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:03.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:21:48.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>2.57</td>\n",
       "      <td>-73.969017</td>\n",
       "      <td>40.754269</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.761600</td>\n",
       "      <td>CSH</td>\n",
       "      <td>14.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.80</td>\n",
       "      <td>0.607194</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:04.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:10:44.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>3</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.957008</td>\n",
       "      <td>40.774502</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.800617</td>\n",
       "      <td>CSH</td>\n",
       "      <td>10.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>11.80</td>\n",
       "      <td>-0.745851</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:05.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:10:52.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.950500</td>\n",
       "      <td>40.769863</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.769825</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>11.80</td>\n",
       "      <td>-0.951541</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:06.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:00:48.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.00</td>\n",
       "      <td>-73.985367</td>\n",
       "      <td>40.710770</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.710682</td>\n",
       "      <td>NOC</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.80</td>\n",
       "      <td>-0.620219</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:06.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:15:15.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>5.62</td>\n",
       "      <td>-73.978104</td>\n",
       "      <td>40.786282</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.719971</td>\n",
       "      <td>CSH</td>\n",
       "      <td>18.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.30</td>\n",
       "      <td>0.371103</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:25.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>0.31</td>\n",
       "      <td>-74.009148</td>\n",
       "      <td>40.717430</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.719120</td>\n",
       "      <td>CSH</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.80</td>\n",
       "      <td>1.011352</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:07.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.10</td>\n",
       "      <td>-74.001915</td>\n",
       "      <td>40.739483</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.751400</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14.10</td>\n",
       "      <td>-0.114485</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:26.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.971382</td>\n",
       "      <td>40.795406</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.826523</td>\n",
       "      <td>CSH</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.30</td>\n",
       "      <td>-0.026612</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:16:47.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>2.23</td>\n",
       "      <td>-73.974152</td>\n",
       "      <td>40.737263</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.742512</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>-0.461994</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:28.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.90</td>\n",
       "      <td>-73.962776</td>\n",
       "      <td>40.815151</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.820324</td>\n",
       "      <td>CSH</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.80</td>\n",
       "      <td>-2.590676</td>\n",
       "      <td>14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:03:40.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>-73.972687</td>\n",
       "      <td>40.795761</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.787750</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.40</td>\n",
       "      <td>-0.526455</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:07:32.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>5</td>\n",
       "      <td>0.85</td>\n",
       "      <td>-73.972588</td>\n",
       "      <td>40.749298</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.742882</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.80</td>\n",
       "      <td>-0.621240</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:08.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.90</td>\n",
       "      <td>-73.940056</td>\n",
       "      <td>40.841171</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.820728</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.591035</td>\n",
       "      <td>17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:07:34.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.951645</td>\n",
       "      <td>40.725502</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.712532</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>9.30</td>\n",
       "      <td>0.515205</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:36.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>-74.000526</td>\n",
       "      <td>40.730091</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.733170</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.318144</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:48.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>3.47</td>\n",
       "      <td>-74.001343</td>\n",
       "      <td>40.731297</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.708336</td>\n",
       "      <td>CSH</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14.30</td>\n",
       "      <td>0.288601</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:11.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:03:20.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.930420</td>\n",
       "      <td>40.761150</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.756119</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.30</td>\n",
       "      <td>1.111334</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:11.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:54.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.40</td>\n",
       "      <td>-73.986000</td>\n",
       "      <td>40.740601</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.752144</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.80</td>\n",
       "      <td>2.156428</td>\n",
       "      <td>22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:12.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:13:53.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>-74.002014</td>\n",
       "      <td>40.730515</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.690529</td>\n",
       "      <td>CSH</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.30</td>\n",
       "      <td>0.560522</td>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:13.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:04:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>0.92</td>\n",
       "      <td>-73.983208</td>\n",
       "      <td>40.753807</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.749191</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.486516</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:46.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>0.42</td>\n",
       "      <td>-73.954048</td>\n",
       "      <td>40.770466</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.773663</td>\n",
       "      <td>CSH</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.30</td>\n",
       "      <td>0.721851</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:13:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>2.22</td>\n",
       "      <td>-73.993675</td>\n",
       "      <td>40.752396</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.733288</td>\n",
       "      <td>CSH</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>-0.548890</td>\n",
       "      <td>26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:15:14.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.17</td>\n",
       "      <td>-74.007133</td>\n",
       "      <td>40.739491</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.745251</td>\n",
       "      <td>CRD</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.30</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14.60</td>\n",
       "      <td>-0.804250</td>\n",
       "      <td>27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:17:16.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.94</td>\n",
       "      <td>-73.988213</td>\n",
       "      <td>40.723652</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.753880</td>\n",
       "      <td>CRD</td>\n",
       "      <td>13.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>0.00</td>\n",
       "      <td>17.60</td>\n",
       "      <td>-2.012567</td>\n",
       "      <td>28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:16.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:05:11.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.999847</td>\n",
       "      <td>40.728493</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.723362</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.15</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.95</td>\n",
       "      <td>1.721125</td>\n",
       "      <td>29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727280</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:20.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.73</td>\n",
       "      <td>-73.983742</td>\n",
       "      <td>40.725788</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.746239</td>\n",
       "      <td>CSH</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>-1.390282</td>\n",
       "      <td>727280</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727281</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:33.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>4</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.973900</td>\n",
       "      <td>40.764736</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.759357</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.30</td>\n",
       "      <td>0.860214</td>\n",
       "      <td>727281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727282</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:41.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.23</td>\n",
       "      <td>-73.980301</td>\n",
       "      <td>40.743378</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.730232</td>\n",
       "      <td>CRD</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.40</td>\n",
       "      <td>0.00</td>\n",
       "      <td>9.20</td>\n",
       "      <td>-1.221995</td>\n",
       "      <td>727282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727283</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:09:25.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.959976</td>\n",
       "      <td>40.773575</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.756866</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.295962</td>\n",
       "      <td>727283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727284</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:09:35.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>-74.002861</td>\n",
       "      <td>40.732578</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.738140</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.75</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.55</td>\n",
       "      <td>-0.872670</td>\n",
       "      <td>727284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727285</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:53.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>3.25</td>\n",
       "      <td>-73.983994</td>\n",
       "      <td>40.675983</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.641182</td>\n",
       "      <td>CRD</td>\n",
       "      <td>12.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.60</td>\n",
       "      <td>0.00</td>\n",
       "      <td>16.40</td>\n",
       "      <td>-1.251694</td>\n",
       "      <td>727285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727286</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:23:39.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>18.63</td>\n",
       "      <td>-73.789207</td>\n",
       "      <td>40.642406</td>\n",
       "      <td>2</td>\n",
       "      <td>...</td>\n",
       "      <td>40.784103</td>\n",
       "      <td>CRD</td>\n",
       "      <td>52.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>11.47</td>\n",
       "      <td>5.33</td>\n",
       "      <td>69.60</td>\n",
       "      <td>-1.596156</td>\n",
       "      <td>727286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727287</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:02:03.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>0.46</td>\n",
       "      <td>-73.999313</td>\n",
       "      <td>40.726795</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.731632</td>\n",
       "      <td>CSH</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.80</td>\n",
       "      <td>-0.141375</td>\n",
       "      <td>727287</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727288</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:43.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.14</td>\n",
       "      <td>-73.986465</td>\n",
       "      <td>40.755730</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.759651</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.25</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.05</td>\n",
       "      <td>0.855186</td>\n",
       "      <td>727288</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727289</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:11:00.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.30</td>\n",
       "      <td>-73.977974</td>\n",
       "      <td>40.788719</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.796410</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.2</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.87</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14.37</td>\n",
       "      <td>-0.618268</td>\n",
       "      <td>727289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727290</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>-73.995247</td>\n",
       "      <td>40.749649</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.743889</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.40</td>\n",
       "      <td>-0.529729</td>\n",
       "      <td>727290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727291</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:07:04.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>1.74</td>\n",
       "      <td>-73.968544</td>\n",
       "      <td>40.759045</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.775906</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>-0.546992</td>\n",
       "      <td>727291</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727292</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:13:19.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>8.10</td>\n",
       "      <td>-73.874390</td>\n",
       "      <td>40.774017</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.744232</td>\n",
       "      <td>CRD</td>\n",
       "      <td>23.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>5.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>35.53</td>\n",
       "      <td>-0.499333</td>\n",
       "      <td>727292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727293</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:15:08.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.60</td>\n",
       "      <td>-73.981346</td>\n",
       "      <td>40.679794</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.714077</td>\n",
       "      <td>CRD</td>\n",
       "      <td>14.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>3.95</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.75</td>\n",
       "      <td>-0.017351</td>\n",
       "      <td>727293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727294</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:31.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.998611</td>\n",
       "      <td>40.745129</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.755211</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>8.80</td>\n",
       "      <td>0.410071</td>\n",
       "      <td>727294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727295</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:56.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.40</td>\n",
       "      <td>-73.954826</td>\n",
       "      <td>40.773315</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.776199</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.30</td>\n",
       "      <td>-0.605633</td>\n",
       "      <td>727295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727296</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:06:38.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>0.98</td>\n",
       "      <td>-73.973106</td>\n",
       "      <td>40.764236</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.755566</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.30</td>\n",
       "      <td>-1.644979</td>\n",
       "      <td>727296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727297</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:08:29.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.26</td>\n",
       "      <td>-73.990021</td>\n",
       "      <td>40.735031</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.760521</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.80</td>\n",
       "      <td>0.258184</td>\n",
       "      <td>727297</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727298</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:21.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>-73.988884</td>\n",
       "      <td>40.745262</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.764004</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.20</td>\n",
       "      <td>0.880409</td>\n",
       "      <td>727298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727299</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:25.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>0.819357</td>\n",
       "      <td>727299</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727300</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:33.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.01</td>\n",
       "      <td>-74.001480</td>\n",
       "      <td>40.735950</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.722401</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.352088</td>\n",
       "      <td>727300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727301</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:07:51.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-74.001434</td>\n",
       "      <td>40.737099</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.739388</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.80</td>\n",
       "      <td>-0.061610</td>\n",
       "      <td>727301</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727302</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:12:51.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>3.10</td>\n",
       "      <td>-73.959846</td>\n",
       "      <td>40.801319</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.838970</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>13.30</td>\n",
       "      <td>-0.576338</td>\n",
       "      <td>727302</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727303</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:23:06.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>5.30</td>\n",
       "      <td>-73.981506</td>\n",
       "      <td>40.757835</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.823730</td>\n",
       "      <td>CRD</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>4.25</td>\n",
       "      <td>0.00</td>\n",
       "      <td>25.55</td>\n",
       "      <td>-0.280207</td>\n",
       "      <td>727303</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727304</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:02:19.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>5</td>\n",
       "      <td>0.77</td>\n",
       "      <td>-73.955917</td>\n",
       "      <td>40.779297</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.770844</td>\n",
       "      <td>CRD</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.476299</td>\n",
       "      <td>727304</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727305</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:57.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.62</td>\n",
       "      <td>-73.945473</td>\n",
       "      <td>40.711536</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.709110</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.65</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.95</td>\n",
       "      <td>-0.638437</td>\n",
       "      <td>727305</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727306</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:14.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.977448</td>\n",
       "      <td>40.758080</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.752270</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.30</td>\n",
       "      <td>0.411651</td>\n",
       "      <td>727306</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727307</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:08:39.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.19</td>\n",
       "      <td>-74.003235</td>\n",
       "      <td>40.743900</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.764240</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.30</td>\n",
       "      <td>0.823198</td>\n",
       "      <td>727307</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727308</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:17.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.50</td>\n",
       "      <td>-73.983475</td>\n",
       "      <td>40.693642</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>40.707687</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>13.80</td>\n",
       "      <td>-0.363738</td>\n",
       "      <td>727308</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727309</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:23:34.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>16.84</td>\n",
       "      <td>-73.789932</td>\n",
       "      <td>40.646759</td>\n",
       "      <td>2</td>\n",
       "      <td>...</td>\n",
       "      <td>40.735180</td>\n",
       "      <td>CRD</td>\n",
       "      <td>52.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>11.47</td>\n",
       "      <td>5.33</td>\n",
       "      <td>69.60</td>\n",
       "      <td>-0.491503</td>\n",
       "      <td>727309</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>727310 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       Pickup Date   Pickup Time  Dropoff Date Dropoff Time Vendor ID  \\\n",
       "0       2015-01-01   0:00:00.000      20150101  0:00:00.000       VTS   \n",
       "1       2015-01-01   0:00:00.000      20150101  0:00:00.000       VTS   \n",
       "2       2015-01-01   0:00:00.000      20150101  0:11:26.000       CMT   \n",
       "3       2015-01-01   0:00:01.000      20150101  0:03:49.000       CMT   \n",
       "4       2015-01-01   0:00:03.000      20150101  0:10:50.000       VTS   \n",
       "5       2015-01-01   0:00:03.000      20150101  0:21:48.000       VTS   \n",
       "6       2015-01-01   0:00:04.000      20150101  0:10:44.000       CMT   \n",
       "7       2015-01-01   0:00:05.000      20150101  0:10:52.000       VTS   \n",
       "8       2015-01-01   0:00:06.000      20150101  0:00:48.000       CMT   \n",
       "9       2015-01-01   0:00:06.000      20150101  0:15:15.000       VTS   \n",
       "10      2015-01-01   0:00:07.000      20150101  0:02:25.000       VTS   \n",
       "11      2015-01-01   0:00:07.000      20150101  0:11:07.000       CMT   \n",
       "12      2015-01-01   0:00:07.000      20150101  0:11:26.000       CMT   \n",
       "13      2015-01-01   0:00:07.000      20150101  0:16:47.000       VTS   \n",
       "14      2015-01-01   0:00:08.000      20150101  0:02:28.000       CMT   \n",
       "15      2015-01-01   0:00:08.000      20150101  0:03:40.000       VTS   \n",
       "16      2015-01-01   0:00:08.000      20150101  0:07:32.000       VTS   \n",
       "17      2015-01-01   0:00:08.000      20150101  0:11:08.000       CMT   \n",
       "18      2015-01-01   0:00:09.000      20150101  0:07:34.000       CMT   \n",
       "19      2015-01-01   0:00:09.000      20150101  0:12:36.000       VTS   \n",
       "20      2015-01-01   0:00:09.000      20150101  0:12:48.000       VTS   \n",
       "21      2015-01-01   0:00:11.000      20150101  0:03:20.000       CMT   \n",
       "22      2015-01-01   0:00:11.000      20150101  0:12:54.000       CMT   \n",
       "23      2015-01-01   0:00:12.000      20150101  0:13:53.000       CMT   \n",
       "24      2015-01-01   0:00:13.000      20150101  0:04:58.000       VTS   \n",
       "25      2015-01-01   0:00:14.000      20150101  0:02:46.000       VTS   \n",
       "26      2015-01-01   0:00:14.000      20150101  0:13:58.000       VTS   \n",
       "27      2015-01-01   0:00:14.000      20150101  0:15:14.000       VTS   \n",
       "28      2015-01-01   0:00:14.000      20150101  0:17:16.000       VTS   \n",
       "29      2015-01-01   0:00:16.000      20150101  0:05:11.000       CMT   \n",
       "...            ...           ...           ...          ...       ...   \n",
       "727280  2015-01-02  23:59:54.000      20150103  0:05:20.000       VTS   \n",
       "727281  2015-01-02  23:59:54.000      20150103  0:05:33.000       CMT   \n",
       "727282  2015-01-02  23:59:54.000      20150103  0:05:41.000       VTS   \n",
       "727283  2015-01-02  23:59:54.000      20150103  0:09:25.000       CMT   \n",
       "727284  2015-01-02  23:59:54.000      20150103  0:09:35.000       CMT   \n",
       "727285  2015-01-02  23:59:54.000      20150103  0:10:53.000       VTS   \n",
       "727286  2015-01-02  23:59:54.000      20150103  0:23:39.000       VTS   \n",
       "727287  2015-01-02  23:59:55.000      20150103  0:02:03.000       VTS   \n",
       "727288  2015-01-02  23:59:55.000      20150103  0:10:43.000       VTS   \n",
       "727289  2015-01-02  23:59:55.000      20150103  0:11:00.000       CMT   \n",
       "727290  2015-01-02  23:59:56.000      20150103  0:03:58.000       VTS   \n",
       "727291  2015-01-02  23:59:56.000      20150103  0:07:04.000       VTS   \n",
       "727292  2015-01-02  23:59:56.000      20150103  0:13:19.000       CMT   \n",
       "727293  2015-01-02  23:59:56.000      20150103  0:15:08.000       CMT   \n",
       "727294  2015-01-02  23:59:57.000      20150103  0:04:31.000       CMT   \n",
       "727295  2015-01-02  23:59:57.000      20150103  0:04:56.000       CMT   \n",
       "727296  2015-01-02  23:59:57.000      20150103  0:06:38.000       VTS   \n",
       "727297  2015-01-02  23:59:57.000      20150103  0:08:29.000       VTS   \n",
       "727298  2015-01-02  23:59:57.000      20150103  0:10:21.000       VTS   \n",
       "727299  2015-01-02  23:59:57.000      20150103  0:10:25.000       CMT   \n",
       "727300  2015-01-02  23:59:58.000      20150103  0:04:33.000       VTS   \n",
       "727301  2015-01-02  23:59:58.000      20150103  0:07:51.000       CMT   \n",
       "727302  2015-01-02  23:59:58.000      20150103  0:12:51.000       CMT   \n",
       "727303  2015-01-02  23:59:58.000      20150103  0:23:06.000       CMT   \n",
       "727304  2015-01-02  23:59:59.000      20150103  0:02:19.000       VTS   \n",
       "727305  2015-01-02  23:59:59.000      20150103  0:03:57.000       VTS   \n",
       "727306  2015-01-02  23:59:59.000      20150103  0:04:14.000       CMT   \n",
       "727307  2015-01-02  23:59:59.000      20150103  0:08:39.000       VTS   \n",
       "727308  2015-01-02  23:59:59.000      20150103  0:10:17.000       CMT   \n",
       "727309  2015-01-02  23:59:59.000      20150103  0:23:34.000       VTS   \n",
       "\n",
       "        Passenger Count  Trip Distance (in miles)  Pickup Longitude  \\\n",
       "0                     1                      1.68        -73.991547   \n",
       "1                     3                      1.56        -74.001320   \n",
       "2                     5                      4.00        -73.971436   \n",
       "3                     1                      0.80        -73.860847   \n",
       "4                     1                      1.58        -73.987579   \n",
       "5                     2                      2.57        -73.969017   \n",
       "6                     3                      2.50        -73.957008   \n",
       "7                     2                      1.30        -73.950500   \n",
       "8                     2                      0.00        -73.985367   \n",
       "9                     3                      5.62        -73.978104   \n",
       "10                    6                      0.31        -74.009148   \n",
       "11                    1                      2.10        -74.001915   \n",
       "12                    1                      2.50        -73.971382   \n",
       "13                    2                      2.23        -73.974152   \n",
       "14                    2                      0.90        -73.962776   \n",
       "15                    1                      0.83        -73.972687   \n",
       "16                    5                      0.85        -73.972588   \n",
       "17                    1                      1.90        -73.940056   \n",
       "18                    1                      1.30        -73.951645   \n",
       "19                    1                      1.37        -74.000526   \n",
       "20                    1                      3.47        -74.001343   \n",
       "21                    1                      1.00        -73.930420   \n",
       "22                    1                      1.40        -73.986000   \n",
       "23                    1                      3.80        -74.002014   \n",
       "24                    3                      0.92        -73.983208   \n",
       "25                    6                      0.42        -73.954048   \n",
       "26                    2                      2.22        -73.993675   \n",
       "27                    1                      2.17        -74.007133   \n",
       "28                    1                      2.94        -73.988213   \n",
       "29                    1                      0.80        -73.999847   \n",
       "...                 ...                       ...               ...   \n",
       "727280                1                      1.73        -73.983742   \n",
       "727281                4                      1.00        -73.973900   \n",
       "727282                1                      1.23        -73.980301   \n",
       "727283                1                      2.50        -73.959976   \n",
       "727284                1                      0.90        -74.002861   \n",
       "727285                2                      3.25        -73.983994   \n",
       "727286                1                     18.63        -73.789207   \n",
       "727287                2                      0.46        -73.999313   \n",
       "727288                1                      1.14        -73.986465   \n",
       "727289                1                      2.30        -73.977974   \n",
       "727290                1                      0.83        -73.995247   \n",
       "727291                6                      1.74        -73.968544   \n",
       "727292                1                      8.10        -73.874390   \n",
       "727293                1                      3.60        -73.981346   \n",
       "727294                1                      1.00        -73.998611   \n",
       "727295                2                      0.40        -73.954826   \n",
       "727296                3                      0.98        -73.973106   \n",
       "727297                1                      2.26        -73.990021   \n",
       "727298                1                      1.85        -73.988884   \n",
       "727299                1                      1.20          0.000000   \n",
       "727300                1                      1.01        -74.001480   \n",
       "727301                1                      1.00        -74.001434   \n",
       "727302                2                      3.10        -73.959846   \n",
       "727303                2                      5.30        -73.981506   \n",
       "727304                5                      0.77        -73.955917   \n",
       "727305                1                      0.62        -73.945473   \n",
       "727306                2                      0.80        -73.977448   \n",
       "727307                1                      2.19        -74.003235   \n",
       "727308                1                      3.50        -73.983475   \n",
       "727309                1                     16.84        -73.789932   \n",
       "\n",
       "        Pickup Latitude  Rate Code   ...    Dropoff Latitude  Payment Type  \\\n",
       "0             40.750069          1   ...            0.000000           CSH   \n",
       "1             40.729057          1   ...           40.719662           CRD   \n",
       "2             40.760201          1   ...           40.768269           CSH   \n",
       "3             40.757294          1   ...           40.752285           CSH   \n",
       "4             40.765270          1   ...           40.776970           CRD   \n",
       "5             40.754269          1   ...           40.761600           CSH   \n",
       "6             40.774502          1   ...           40.800617           CSH   \n",
       "7             40.769863          1   ...           40.769825           CRD   \n",
       "8             40.710770          1   ...           40.710682           NOC   \n",
       "9             40.786282          1   ...           40.719971           CSH   \n",
       "10            40.717430          1   ...           40.719120           CSH   \n",
       "11            40.739483          1   ...           40.751400           CRD   \n",
       "12            40.795406          1   ...           40.826523           CSH   \n",
       "13            40.737263          1   ...           40.742512           CSH   \n",
       "14            40.815151          1   ...           40.820324           CSH   \n",
       "15            40.795761          1   ...           40.787750           CRD   \n",
       "16            40.749298          1   ...           40.742882           CSH   \n",
       "17            40.841171          1   ...           40.820728           CSH   \n",
       "18            40.725502          1   ...           40.712532           CRD   \n",
       "19            40.730091          1   ...           40.733170           CSH   \n",
       "20            40.731297          1   ...           40.708336           CSH   \n",
       "21            40.761150          1   ...           40.756119           CSH   \n",
       "22            40.740601          1   ...           40.752144           CSH   \n",
       "23            40.730515          1   ...           40.690529           CSH   \n",
       "24            40.753807          1   ...           40.749191           CSH   \n",
       "25            40.770466          1   ...           40.773663           CSH   \n",
       "26            40.752396          1   ...           40.733288           CSH   \n",
       "27            40.739491          1   ...           40.745251           CRD   \n",
       "28            40.723652          1   ...           40.753880           CRD   \n",
       "29            40.728493          1   ...           40.723362           CRD   \n",
       "...                 ...        ...   ...                 ...           ...   \n",
       "727280        40.725788          1   ...           40.746239           CSH   \n",
       "727281        40.764736          1   ...           40.759357           CSH   \n",
       "727282        40.743378          1   ...           40.730232           CRD   \n",
       "727283        40.773575          1   ...           40.756866           CSH   \n",
       "727284        40.732578          1   ...           40.738140           CRD   \n",
       "727285        40.675983          1   ...           40.641182           CRD   \n",
       "727286        40.642406          2   ...           40.784103           CRD   \n",
       "727287        40.726795          1   ...           40.731632           CSH   \n",
       "727288        40.755730          1   ...           40.759651           CRD   \n",
       "727289        40.788719          1   ...           40.796410           CRD   \n",
       "727290        40.749649          1   ...           40.743889           CRD   \n",
       "727291        40.759045          1   ...           40.775906           CRD   \n",
       "727292        40.774017          1   ...           40.744232           CRD   \n",
       "727293        40.679794          1   ...           40.714077           CRD   \n",
       "727294        40.745129          1   ...           40.755211           CRD   \n",
       "727295        40.773315          1   ...           40.776199           CSH   \n",
       "727296        40.764236          1   ...           40.755566           CSH   \n",
       "727297        40.735031          1   ...           40.760521           CRD   \n",
       "727298        40.745262          1   ...           40.764004           CRD   \n",
       "727299         0.000000          1   ...            0.000000           CRD   \n",
       "727300        40.735950          1   ...           40.722401           CSH   \n",
       "727301        40.737099          1   ...           40.739388           CSH   \n",
       "727302        40.801319          1   ...           40.838970           CSH   \n",
       "727303        40.757835          1   ...           40.823730           CRD   \n",
       "727304        40.779297          1   ...           40.770844           CRD   \n",
       "727305        40.711536          1   ...           40.709110           CRD   \n",
       "727306        40.758080          1   ...           40.752270           CSH   \n",
       "727307        40.743900          1   ...           40.764240           CSH   \n",
       "727308        40.693642          1   ...           40.707687           CSH   \n",
       "727309        40.646759          2   ...           40.735180           CRD   \n",
       "\n",
       "        Fare Amount Surcharge  MTA Tax  Tip Amount  Tolls Amount  \\\n",
       "0              10.0       0.0      0.5        0.00          0.00   \n",
       "1               7.5       0.5      0.5        0.00          0.00   \n",
       "2              13.5       0.5      0.5        0.00          0.00   \n",
       "3               5.0       0.5      0.5        0.00          0.00   \n",
       "4               9.0       0.5      0.5        1.90          0.00   \n",
       "5              14.5       0.5      0.5        0.00          0.00   \n",
       "6              10.5       0.5      0.5        0.00          0.00   \n",
       "7               8.5       0.5      0.5        2.00          0.00   \n",
       "8               2.5       0.5      0.5        0.00          0.00   \n",
       "9              18.0       0.5      0.5        0.00          0.00   \n",
       "10              3.5       0.5      0.5        0.00          0.00   \n",
       "11             10.0       0.5      0.5        2.80          0.00   \n",
       "12             11.0       0.5      0.5        0.00          0.00   \n",
       "13             12.0       0.5      0.5        0.00          0.00   \n",
       "14              4.5       0.5      0.5        0.00          0.00   \n",
       "15              5.0       0.5      0.5        1.10          0.00   \n",
       "16              6.5       0.5      0.5        0.00          0.00   \n",
       "17              9.5       0.5      0.5        0.00          0.00   \n",
       "18              7.0       0.5      0.5        1.00          0.00   \n",
       "19              9.5       0.5      0.5        0.00          0.00   \n",
       "20             13.0       0.5      0.5        0.00          0.00   \n",
       "21              5.0       0.5      0.5        0.00          0.00   \n",
       "22              9.5       0.5      0.5        0.00          0.00   \n",
       "23             14.0       0.5      0.5        0.00          0.00   \n",
       "24              5.5       0.5      0.5        0.00          0.00   \n",
       "25              4.0       0.5      0.5        0.00          0.00   \n",
       "26             11.0       0.5      0.5        0.00          0.00   \n",
       "27             11.0       0.5      0.5        2.30          0.00   \n",
       "28             13.5       0.5      0.5        2.80          0.00   \n",
       "29              5.0       0.0      0.5        1.15          0.00   \n",
       "...             ...       ...      ...         ...           ...   \n",
       "727280          7.0       0.5      0.5        0.00          0.00   \n",
       "727281          6.0       0.5      0.5        0.00          0.00   \n",
       "727282          6.5       0.5      0.5        1.40          0.00   \n",
       "727283          9.5       0.5      0.5        0.00          0.00   \n",
       "727284          7.5       0.5      0.5        1.75          0.00   \n",
       "727285         12.5       0.5      0.5        2.60          0.00   \n",
       "727286         52.0       0.0      0.5       11.47          5.33   \n",
       "727287          3.5       0.5      0.5        0.00          0.00   \n",
       "727288          8.5       0.5      0.5        2.25          0.00   \n",
       "727289         10.2       0.5      0.5        2.87          0.00   \n",
       "727290          5.0       0.5      0.5        1.10          0.00   \n",
       "727291          8.0       0.5      0.5        1.70          0.00   \n",
       "727292         23.0       0.5      0.5        5.90          5.33   \n",
       "727293         14.5       0.5      0.5        3.95          0.00   \n",
       "727294          5.5       0.5      0.5        2.00          0.00   \n",
       "727295          5.0       0.5      0.5        0.00          0.00   \n",
       "727296          6.0       0.5      0.5        0.00          0.00   \n",
       "727297          9.5       0.5      0.5        2.00          0.00   \n",
       "727298          9.0       0.5      0.5        1.90          0.00   \n",
       "727299          8.5       0.5      0.5        2.20          0.00   \n",
       "727300          5.5       0.5      0.5        0.00          0.00   \n",
       "727301          6.5       0.5      0.5        0.00          0.00   \n",
       "727302         12.0       0.5      0.5        0.00          0.00   \n",
       "727303         20.0       0.5      0.5        4.25          0.00   \n",
       "727304          4.5       0.5      0.5        1.00          0.00   \n",
       "727305          5.0       0.5      0.5        1.65          0.00   \n",
       "727306          5.0       0.5      0.5        0.00          0.00   \n",
       "727307          9.0       0.5      0.5        0.00          0.00   \n",
       "727308         12.5       0.5      0.5        0.00          0.00   \n",
       "727309         52.0       0.0      0.5       11.47          5.33   \n",
       "\n",
       "        Total Amount  Trip time  new_col  \n",
       "0              10.80   0.019935        0  \n",
       "1               8.80  -1.802970        1  \n",
       "2              14.50   0.366903        2  \n",
       "3               6.30   0.425778        3  \n",
       "4              12.20   1.019268        4  \n",
       "5              15.80   0.607194        5  \n",
       "6              11.80  -0.745851        6  \n",
       "7              11.80  -0.951541        7  \n",
       "8               3.80  -0.620219        8  \n",
       "9              19.30   0.371103        9  \n",
       "10              4.80   1.011352       10  \n",
       "11             14.10  -0.114485       11  \n",
       "12             12.30  -0.026612       12  \n",
       "13             13.00  -0.461994       13  \n",
       "14              5.80  -2.590676       14  \n",
       "15              7.40  -0.526455       15  \n",
       "16              7.80  -0.621240       16  \n",
       "17             10.80   0.591035       17  \n",
       "18              9.30   0.515205       18  \n",
       "19             10.80   0.318144       19  \n",
       "20             14.30   0.288601       20  \n",
       "21              6.30   1.111334       21  \n",
       "22             10.80   2.156428       22  \n",
       "23             15.30   0.560522       23  \n",
       "24              6.80  -0.486516       24  \n",
       "25              5.30   0.721851       25  \n",
       "26             12.00  -0.548890       26  \n",
       "27             14.60  -0.804250       27  \n",
       "28             17.60  -2.012567       28  \n",
       "29              6.95   1.721125       29  \n",
       "...              ...        ...      ...  \n",
       "727280          8.00  -1.390282   727280  \n",
       "727281          7.30   0.860214   727281  \n",
       "727282          9.20  -1.221995   727282  \n",
       "727283         10.80   0.295962   727283  \n",
       "727284         10.55  -0.872670   727284  \n",
       "727285         16.40  -1.251694   727285  \n",
       "727286         69.60  -1.596156   727286  \n",
       "727287          4.80  -0.141375   727287  \n",
       "727288         12.05   0.855186   727288  \n",
       "727289         14.37  -0.618268   727289  \n",
       "727290          7.40  -0.529729   727290  \n",
       "727291         11.00  -0.546992   727291  \n",
       "727292         35.53  -0.499333   727292  \n",
       "727293         19.75  -0.017351   727293  \n",
       "727294          8.80   0.410071   727294  \n",
       "727295          6.30  -0.605633   727295  \n",
       "727296          7.30  -1.644979   727296  \n",
       "727297         12.80   0.258184   727297  \n",
       "727298         12.20   0.880409   727298  \n",
       "727299         12.00   0.819357   727299  \n",
       "727300          6.80  -0.352088   727300  \n",
       "727301          7.80  -0.061610   727301  \n",
       "727302         13.30  -0.576338   727302  \n",
       "727303         25.55  -0.280207   727303  \n",
       "727304          6.80  -0.476299   727304  \n",
       "727305          7.95  -0.638437   727305  \n",
       "727306          6.30   0.411651   727306  \n",
       "727307         10.30   0.823198   727307  \n",
       "727308         13.80  -0.363738   727308  \n",
       "727309         69.60  -0.491503   727309  \n",
       "\n",
       "[727310 rows x 22 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# OUTLIERS 2 methods\n",
    "# ==> IQR\n",
    "# ==> Z-score\n",
    "#data = data.iloc[:6000,]\n",
    "data\n",
    "\n",
    "#new_data = data.iloc[:10000,]\n",
    "#new_data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py:10: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  # Remove the CWD from sys.path while we load stuff.\n",
      "/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py:17: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py:24: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n"
     ]
    },
    {
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       "      <th></th>\n",
       "      <th>Pickup Date</th>\n",
       "      <th>Pickup Time</th>\n",
       "      <th>Dropoff Date</th>\n",
       "      <th>Dropoff Time</th>\n",
       "      <th>Vendor ID</th>\n",
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       "      <th>...</th>\n",
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       "      <th>Fare Amount</th>\n",
       "      <th>Surcharge</th>\n",
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       "      <th>Tip Amount</th>\n",
       "      <th>Tolls Amount</th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Trip time</th>\n",
       "      <th>new_col</th>\n",
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       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>14.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>15.80</td>\n",
       "      <td>0.607194</td>\n",
       "      <td>5</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:04.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:10:44.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>3</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.957008</td>\n",
       "      <td>40.774502</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>10.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.80</td>\n",
       "      <td>-0.745851</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:05.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:10:52.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.950500</td>\n",
       "      <td>40.769863</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.80</td>\n",
       "      <td>-0.951541</td>\n",
       "      <td>7</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:06.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:00:48.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.00</td>\n",
       "      <td>-73.985367</td>\n",
       "      <td>40.710770</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>NOC</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.80</td>\n",
       "      <td>-0.620219</td>\n",
       "      <td>8</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:06.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:15:15.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>5.62</td>\n",
       "      <td>-73.978104</td>\n",
       "      <td>40.786282</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>18.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.30</td>\n",
       "      <td>0.371103</td>\n",
       "      <td>9</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:25.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>0.31</td>\n",
       "      <td>-74.009148</td>\n",
       "      <td>40.717430</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>1.011352</td>\n",
       "      <td>10</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:07.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.10</td>\n",
       "      <td>-74.001915</td>\n",
       "      <td>40.739483</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.10</td>\n",
       "      <td>-0.114485</td>\n",
       "      <td>11</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:26.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.971382</td>\n",
       "      <td>40.795406</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.30</td>\n",
       "      <td>-0.026612</td>\n",
       "      <td>12</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:16:47.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>2.23</td>\n",
       "      <td>-73.974152</td>\n",
       "      <td>40.737263</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.00</td>\n",
       "      <td>-0.461994</td>\n",
       "      <td>13</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:28.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.90</td>\n",
       "      <td>-73.962776</td>\n",
       "      <td>40.815151</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>5.80</td>\n",
       "      <td>-2.590676</td>\n",
       "      <td>14</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:03:40.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>-73.972687</td>\n",
       "      <td>40.795761</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.40</td>\n",
       "      <td>-0.526455</td>\n",
       "      <td>15</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:07:32.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>5</td>\n",
       "      <td>0.85</td>\n",
       "      <td>-73.972588</td>\n",
       "      <td>40.749298</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.80</td>\n",
       "      <td>-0.621240</td>\n",
       "      <td>16</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:11:08.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.90</td>\n",
       "      <td>-73.940056</td>\n",
       "      <td>40.841171</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.591035</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:07:34.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.951645</td>\n",
       "      <td>40.725502</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.30</td>\n",
       "      <td>0.515205</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:36.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>-74.000526</td>\n",
       "      <td>40.730091</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.318144</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:48.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>3.47</td>\n",
       "      <td>-74.001343</td>\n",
       "      <td>40.731297</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.30</td>\n",
       "      <td>0.288601</td>\n",
       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:11.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:03:20.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.930420</td>\n",
       "      <td>40.761150</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.30</td>\n",
       "      <td>1.111334</td>\n",
       "      <td>21</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:11.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:54.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.40</td>\n",
       "      <td>-73.986000</td>\n",
       "      <td>40.740601</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>2.156428</td>\n",
       "      <td>22</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:12.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:13:53.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>-74.002014</td>\n",
       "      <td>40.730515</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>15.30</td>\n",
       "      <td>0.560522</td>\n",
       "      <td>23</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:13.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:04:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>0.92</td>\n",
       "      <td>-73.983208</td>\n",
       "      <td>40.753807</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.486516</td>\n",
       "      <td>24</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:46.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>0.42</td>\n",
       "      <td>-73.954048</td>\n",
       "      <td>40.770466</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>5.30</td>\n",
       "      <td>0.721851</td>\n",
       "      <td>25</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:13:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>2.22</td>\n",
       "      <td>-73.993675</td>\n",
       "      <td>40.752396</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.00</td>\n",
       "      <td>-0.548890</td>\n",
       "      <td>26</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:15:14.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.17</td>\n",
       "      <td>-74.007133</td>\n",
       "      <td>40.739491</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.30</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.60</td>\n",
       "      <td>-0.804250</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:17:16.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.94</td>\n",
       "      <td>-73.988213</td>\n",
       "      <td>40.723652</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>13.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>17.60</td>\n",
       "      <td>-2.012567</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:16.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:05:11.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.999847</td>\n",
       "      <td>40.728493</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.15</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.95</td>\n",
       "      <td>1.721125</td>\n",
       "      <td>29</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727277</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:53.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:14:38.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.987213</td>\n",
       "      <td>40.736176</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.15</td>\n",
       "      <td>1.126999</td>\n",
       "      <td>727277</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727278</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:53.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:17:31.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>5.74</td>\n",
       "      <td>-73.963516</td>\n",
       "      <td>40.757732</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>18.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.80</td>\n",
       "      <td>-1.209206</td>\n",
       "      <td>727278</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727279</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:16.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>1.20</td>\n",
       "      <td>-74.006157</td>\n",
       "      <td>40.734341</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.045936</td>\n",
       "      <td>727279</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727280</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:20.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.73</td>\n",
       "      <td>-73.983742</td>\n",
       "      <td>40.725788</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.00</td>\n",
       "      <td>-1.390282</td>\n",
       "      <td>727280</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727281</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:33.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>4</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.973900</td>\n",
       "      <td>40.764736</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.30</td>\n",
       "      <td>0.860214</td>\n",
       "      <td>727281</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727282</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:41.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.23</td>\n",
       "      <td>-73.980301</td>\n",
       "      <td>40.743378</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.40</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.20</td>\n",
       "      <td>-1.221995</td>\n",
       "      <td>727282</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727283</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:09:25.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.959976</td>\n",
       "      <td>40.773575</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.295962</td>\n",
       "      <td>727283</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727284</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:09:35.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>-74.002861</td>\n",
       "      <td>40.732578</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.55</td>\n",
       "      <td>-0.872670</td>\n",
       "      <td>727284</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727285</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:53.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>3.25</td>\n",
       "      <td>-73.983994</td>\n",
       "      <td>40.675983</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>12.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.60</td>\n",
       "      <td>0.0</td>\n",
       "      <td>16.40</td>\n",
       "      <td>-1.251694</td>\n",
       "      <td>727285</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727287</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:02:03.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>0.46</td>\n",
       "      <td>-73.999313</td>\n",
       "      <td>40.726795</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>-0.141375</td>\n",
       "      <td>727287</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727288</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:43.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.14</td>\n",
       "      <td>-73.986465</td>\n",
       "      <td>40.755730</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.05</td>\n",
       "      <td>0.855186</td>\n",
       "      <td>727288</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727289</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:11:00.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.30</td>\n",
       "      <td>-73.977974</td>\n",
       "      <td>40.788719</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.2</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.87</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.37</td>\n",
       "      <td>-0.618268</td>\n",
       "      <td>727289</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727290</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>-73.995247</td>\n",
       "      <td>40.749649</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.40</td>\n",
       "      <td>-0.529729</td>\n",
       "      <td>727290</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727291</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:07:04.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>1.74</td>\n",
       "      <td>-73.968544</td>\n",
       "      <td>40.759045</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.00</td>\n",
       "      <td>-0.546992</td>\n",
       "      <td>727291</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727293</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:15:08.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.60</td>\n",
       "      <td>-73.981346</td>\n",
       "      <td>40.679794</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>14.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>3.95</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.75</td>\n",
       "      <td>-0.017351</td>\n",
       "      <td>727293</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727294</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:31.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.998611</td>\n",
       "      <td>40.745129</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.80</td>\n",
       "      <td>0.410071</td>\n",
       "      <td>727294</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727295</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:56.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.40</td>\n",
       "      <td>-73.954826</td>\n",
       "      <td>40.773315</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.30</td>\n",
       "      <td>-0.605633</td>\n",
       "      <td>727295</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727296</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:06:38.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>0.98</td>\n",
       "      <td>-73.973106</td>\n",
       "      <td>40.764236</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.30</td>\n",
       "      <td>-1.644979</td>\n",
       "      <td>727296</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727297</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:08:29.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.26</td>\n",
       "      <td>-73.990021</td>\n",
       "      <td>40.735031</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.80</td>\n",
       "      <td>0.258184</td>\n",
       "      <td>727297</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727298</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:21.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>-73.988884</td>\n",
       "      <td>40.745262</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.20</td>\n",
       "      <td>0.880409</td>\n",
       "      <td>727298</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727299</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:25.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.20</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.00</td>\n",
       "      <td>0.819357</td>\n",
       "      <td>727299</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727300</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:33.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.01</td>\n",
       "      <td>-74.001480</td>\n",
       "      <td>40.735950</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.352088</td>\n",
       "      <td>727300</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727301</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:07:51.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-74.001434</td>\n",
       "      <td>40.737099</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.80</td>\n",
       "      <td>-0.061610</td>\n",
       "      <td>727301</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727302</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:12:51.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>3.10</td>\n",
       "      <td>-73.959846</td>\n",
       "      <td>40.801319</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.30</td>\n",
       "      <td>-0.576338</td>\n",
       "      <td>727302</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727303</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:23:06.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>5.30</td>\n",
       "      <td>-73.981506</td>\n",
       "      <td>40.757835</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>4.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>25.55</td>\n",
       "      <td>-0.280207</td>\n",
       "      <td>727303</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727304</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:02:19.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>5</td>\n",
       "      <td>0.77</td>\n",
       "      <td>-73.955917</td>\n",
       "      <td>40.779297</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.476299</td>\n",
       "      <td>727304</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727305</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:57.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.62</td>\n",
       "      <td>-73.945473</td>\n",
       "      <td>40.711536</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.65</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.95</td>\n",
       "      <td>-0.638437</td>\n",
       "      <td>727305</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727306</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:14.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.977448</td>\n",
       "      <td>40.758080</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.30</td>\n",
       "      <td>0.411651</td>\n",
       "      <td>727306</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727307</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:08:39.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.19</td>\n",
       "      <td>-74.003235</td>\n",
       "      <td>40.743900</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.30</td>\n",
       "      <td>0.823198</td>\n",
       "      <td>727307</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727308</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:17.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.50</td>\n",
       "      <td>-73.983475</td>\n",
       "      <td>40.693642</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.80</td>\n",
       "      <td>-0.363738</td>\n",
       "      <td>727308</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>638764 rows × 23 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       Pickup Date   Pickup Time  Dropoff Date Dropoff Time Vendor ID  \\\n",
       "0       2015-01-01   0:00:00.000      20150101  0:00:00.000       VTS   \n",
       "1       2015-01-01   0:00:00.000      20150101  0:00:00.000       VTS   \n",
       "2       2015-01-01   0:00:00.000      20150101  0:11:26.000       CMT   \n",
       "3       2015-01-01   0:00:01.000      20150101  0:03:49.000       CMT   \n",
       "4       2015-01-01   0:00:03.000      20150101  0:10:50.000       VTS   \n",
       "5       2015-01-01   0:00:03.000      20150101  0:21:48.000       VTS   \n",
       "6       2015-01-01   0:00:04.000      20150101  0:10:44.000       CMT   \n",
       "7       2015-01-01   0:00:05.000      20150101  0:10:52.000       VTS   \n",
       "8       2015-01-01   0:00:06.000      20150101  0:00:48.000       CMT   \n",
       "9       2015-01-01   0:00:06.000      20150101  0:15:15.000       VTS   \n",
       "10      2015-01-01   0:00:07.000      20150101  0:02:25.000       VTS   \n",
       "11      2015-01-01   0:00:07.000      20150101  0:11:07.000       CMT   \n",
       "12      2015-01-01   0:00:07.000      20150101  0:11:26.000       CMT   \n",
       "13      2015-01-01   0:00:07.000      20150101  0:16:47.000       VTS   \n",
       "14      2015-01-01   0:00:08.000      20150101  0:02:28.000       CMT   \n",
       "15      2015-01-01   0:00:08.000      20150101  0:03:40.000       VTS   \n",
       "16      2015-01-01   0:00:08.000      20150101  0:07:32.000       VTS   \n",
       "17      2015-01-01   0:00:08.000      20150101  0:11:08.000       CMT   \n",
       "18      2015-01-01   0:00:09.000      20150101  0:07:34.000       CMT   \n",
       "19      2015-01-01   0:00:09.000      20150101  0:12:36.000       VTS   \n",
       "20      2015-01-01   0:00:09.000      20150101  0:12:48.000       VTS   \n",
       "21      2015-01-01   0:00:11.000      20150101  0:03:20.000       CMT   \n",
       "22      2015-01-01   0:00:11.000      20150101  0:12:54.000       CMT   \n",
       "23      2015-01-01   0:00:12.000      20150101  0:13:53.000       CMT   \n",
       "24      2015-01-01   0:00:13.000      20150101  0:04:58.000       VTS   \n",
       "25      2015-01-01   0:00:14.000      20150101  0:02:46.000       VTS   \n",
       "26      2015-01-01   0:00:14.000      20150101  0:13:58.000       VTS   \n",
       "27      2015-01-01   0:00:14.000      20150101  0:15:14.000       VTS   \n",
       "28      2015-01-01   0:00:14.000      20150101  0:17:16.000       VTS   \n",
       "29      2015-01-01   0:00:16.000      20150101  0:05:11.000       CMT   \n",
       "...            ...           ...           ...          ...       ...   \n",
       "727277  2015-01-02  23:59:53.000      20150103  0:14:38.000       CMT   \n",
       "727278  2015-01-02  23:59:53.000      20150103  0:17:31.000       VTS   \n",
       "727279  2015-01-02  23:59:54.000      20150103  0:03:16.000       CMT   \n",
       "727280  2015-01-02  23:59:54.000      20150103  0:05:20.000       VTS   \n",
       "727281  2015-01-02  23:59:54.000      20150103  0:05:33.000       CMT   \n",
       "727282  2015-01-02  23:59:54.000      20150103  0:05:41.000       VTS   \n",
       "727283  2015-01-02  23:59:54.000      20150103  0:09:25.000       CMT   \n",
       "727284  2015-01-02  23:59:54.000      20150103  0:09:35.000       CMT   \n",
       "727285  2015-01-02  23:59:54.000      20150103  0:10:53.000       VTS   \n",
       "727287  2015-01-02  23:59:55.000      20150103  0:02:03.000       VTS   \n",
       "727288  2015-01-02  23:59:55.000      20150103  0:10:43.000       VTS   \n",
       "727289  2015-01-02  23:59:55.000      20150103  0:11:00.000       CMT   \n",
       "727290  2015-01-02  23:59:56.000      20150103  0:03:58.000       VTS   \n",
       "727291  2015-01-02  23:59:56.000      20150103  0:07:04.000       VTS   \n",
       "727293  2015-01-02  23:59:56.000      20150103  0:15:08.000       CMT   \n",
       "727294  2015-01-02  23:59:57.000      20150103  0:04:31.000       CMT   \n",
       "727295  2015-01-02  23:59:57.000      20150103  0:04:56.000       CMT   \n",
       "727296  2015-01-02  23:59:57.000      20150103  0:06:38.000       VTS   \n",
       "727297  2015-01-02  23:59:57.000      20150103  0:08:29.000       VTS   \n",
       "727298  2015-01-02  23:59:57.000      20150103  0:10:21.000       VTS   \n",
       "727299  2015-01-02  23:59:57.000      20150103  0:10:25.000       CMT   \n",
       "727300  2015-01-02  23:59:58.000      20150103  0:04:33.000       VTS   \n",
       "727301  2015-01-02  23:59:58.000      20150103  0:07:51.000       CMT   \n",
       "727302  2015-01-02  23:59:58.000      20150103  0:12:51.000       CMT   \n",
       "727303  2015-01-02  23:59:58.000      20150103  0:23:06.000       CMT   \n",
       "727304  2015-01-02  23:59:59.000      20150103  0:02:19.000       VTS   \n",
       "727305  2015-01-02  23:59:59.000      20150103  0:03:57.000       VTS   \n",
       "727306  2015-01-02  23:59:59.000      20150103  0:04:14.000       CMT   \n",
       "727307  2015-01-02  23:59:59.000      20150103  0:08:39.000       VTS   \n",
       "727308  2015-01-02  23:59:59.000      20150103  0:10:17.000       CMT   \n",
       "\n",
       "        Passenger Count  Trip Distance (in miles)  Pickup Longitude  \\\n",
       "0                     1                      1.68        -73.991547   \n",
       "1                     3                      1.56        -74.001320   \n",
       "2                     5                      4.00        -73.971436   \n",
       "3                     1                      0.80        -73.860847   \n",
       "4                     1                      1.58        -73.987579   \n",
       "5                     2                      2.57        -73.969017   \n",
       "6                     3                      2.50        -73.957008   \n",
       "7                     2                      1.30        -73.950500   \n",
       "8                     2                      0.00        -73.985367   \n",
       "9                     3                      5.62        -73.978104   \n",
       "10                    6                      0.31        -74.009148   \n",
       "11                    1                      2.10        -74.001915   \n",
       "12                    1                      2.50        -73.971382   \n",
       "13                    2                      2.23        -73.974152   \n",
       "14                    2                      0.90        -73.962776   \n",
       "15                    1                      0.83        -73.972687   \n",
       "16                    5                      0.85        -73.972588   \n",
       "17                    1                      1.90        -73.940056   \n",
       "18                    1                      1.30        -73.951645   \n",
       "19                    1                      1.37        -74.000526   \n",
       "20                    1                      3.47        -74.001343   \n",
       "21                    1                      1.00        -73.930420   \n",
       "22                    1                      1.40        -73.986000   \n",
       "23                    1                      3.80        -74.002014   \n",
       "24                    3                      0.92        -73.983208   \n",
       "25                    6                      0.42        -73.954048   \n",
       "26                    2                      2.22        -73.993675   \n",
       "27                    1                      2.17        -74.007133   \n",
       "28                    1                      2.94        -73.988213   \n",
       "29                    1                      0.80        -73.999847   \n",
       "...                 ...                       ...               ...   \n",
       "727277                2                      1.30        -73.987213   \n",
       "727278                1                      5.74        -73.963516   \n",
       "727279                2                      1.20        -74.006157   \n",
       "727280                1                      1.73        -73.983742   \n",
       "727281                4                      1.00        -73.973900   \n",
       "727282                1                      1.23        -73.980301   \n",
       "727283                1                      2.50        -73.959976   \n",
       "727284                1                      0.90        -74.002861   \n",
       "727285                2                      3.25        -73.983994   \n",
       "727287                2                      0.46        -73.999313   \n",
       "727288                1                      1.14        -73.986465   \n",
       "727289                1                      2.30        -73.977974   \n",
       "727290                1                      0.83        -73.995247   \n",
       "727291                6                      1.74        -73.968544   \n",
       "727293                1                      3.60        -73.981346   \n",
       "727294                1                      1.00        -73.998611   \n",
       "727295                2                      0.40        -73.954826   \n",
       "727296                3                      0.98        -73.973106   \n",
       "727297                1                      2.26        -73.990021   \n",
       "727298                1                      1.85        -73.988884   \n",
       "727299                1                      1.20          0.000000   \n",
       "727300                1                      1.01        -74.001480   \n",
       "727301                1                      1.00        -74.001434   \n",
       "727302                2                      3.10        -73.959846   \n",
       "727303                2                      5.30        -73.981506   \n",
       "727304                5                      0.77        -73.955917   \n",
       "727305                1                      0.62        -73.945473   \n",
       "727306                2                      0.80        -73.977448   \n",
       "727307                1                      2.19        -74.003235   \n",
       "727308                1                      3.50        -73.983475   \n",
       "\n",
       "        Pickup Latitude  Rate Code   ...    Payment Type  Fare Amount  \\\n",
       "0             40.750069          1   ...             CSH         10.0   \n",
       "1             40.729057          1   ...             CRD          7.5   \n",
       "2             40.760201          1   ...             CSH         13.5   \n",
       "3             40.757294          1   ...             CSH          5.0   \n",
       "4             40.765270          1   ...             CRD          9.0   \n",
       "5             40.754269          1   ...             CSH         14.5   \n",
       "6             40.774502          1   ...             CSH         10.5   \n",
       "7             40.769863          1   ...             CRD          8.5   \n",
       "8             40.710770          1   ...             NOC          2.5   \n",
       "9             40.786282          1   ...             CSH         18.0   \n",
       "10            40.717430          1   ...             CSH          3.5   \n",
       "11            40.739483          1   ...             CRD         10.0   \n",
       "12            40.795406          1   ...             CSH         11.0   \n",
       "13            40.737263          1   ...             CSH         12.0   \n",
       "14            40.815151          1   ...             CSH          4.5   \n",
       "15            40.795761          1   ...             CRD          5.0   \n",
       "16            40.749298          1   ...             CSH          6.5   \n",
       "17            40.841171          1   ...             CSH          9.5   \n",
       "18            40.725502          1   ...             CRD          7.0   \n",
       "19            40.730091          1   ...             CSH          9.5   \n",
       "20            40.731297          1   ...             CSH         13.0   \n",
       "21            40.761150          1   ...             CSH          5.0   \n",
       "22            40.740601          1   ...             CSH          9.5   \n",
       "23            40.730515          1   ...             CSH         14.0   \n",
       "24            40.753807          1   ...             CSH          5.5   \n",
       "25            40.770466          1   ...             CSH          4.0   \n",
       "26            40.752396          1   ...             CSH         11.0   \n",
       "27            40.739491          1   ...             CRD         11.0   \n",
       "28            40.723652          1   ...             CRD         13.5   \n",
       "29            40.728493          1   ...             CRD          5.0   \n",
       "...                 ...        ...   ...             ...          ...   \n",
       "727277        40.736176          1   ...             CRD         10.5   \n",
       "727278        40.757732          1   ...             CSH         18.5   \n",
       "727279        40.734341          1   ...             CSH          5.5   \n",
       "727280        40.725788          1   ...             CSH          7.0   \n",
       "727281        40.764736          1   ...             CSH          6.0   \n",
       "727282        40.743378          1   ...             CRD          6.5   \n",
       "727283        40.773575          1   ...             CSH          9.5   \n",
       "727284        40.732578          1   ...             CRD          7.5   \n",
       "727285        40.675983          1   ...             CRD         12.5   \n",
       "727287        40.726795          1   ...             CSH          3.5   \n",
       "727288        40.755730          1   ...             CRD          8.5   \n",
       "727289        40.788719          1   ...             CRD         10.2   \n",
       "727290        40.749649          1   ...             CRD          5.0   \n",
       "727291        40.759045          1   ...             CRD          8.0   \n",
       "727293        40.679794          1   ...             CRD         14.5   \n",
       "727294        40.745129          1   ...             CRD          5.5   \n",
       "727295        40.773315          1   ...             CSH          5.0   \n",
       "727296        40.764236          1   ...             CSH          6.0   \n",
       "727297        40.735031          1   ...             CRD          9.5   \n",
       "727298        40.745262          1   ...             CRD          9.0   \n",
       "727299         0.000000          1   ...             CRD          8.5   \n",
       "727300        40.735950          1   ...             CSH          5.5   \n",
       "727301        40.737099          1   ...             CSH          6.5   \n",
       "727302        40.801319          1   ...             CSH         12.0   \n",
       "727303        40.757835          1   ...             CRD         20.0   \n",
       "727304        40.779297          1   ...             CRD          4.5   \n",
       "727305        40.711536          1   ...             CRD          5.0   \n",
       "727306        40.758080          1   ...             CSH          5.0   \n",
       "727307        40.743900          1   ...             CSH          9.0   \n",
       "727308        40.693642          1   ...             CSH         12.5   \n",
       "\n",
       "        Surcharge MTA Tax  Tip Amount  Tolls Amount  Total Amount  Trip time  \\\n",
       "0             0.0     0.5        0.00           0.0         10.80   0.019935   \n",
       "1             0.5     0.5        0.00           0.0          8.80  -1.802970   \n",
       "2             0.5     0.5        0.00           0.0         14.50   0.366903   \n",
       "3             0.5     0.5        0.00           0.0          6.30   0.425778   \n",
       "4             0.5     0.5        1.90           0.0         12.20   1.019268   \n",
       "5             0.5     0.5        0.00           0.0         15.80   0.607194   \n",
       "6             0.5     0.5        0.00           0.0         11.80  -0.745851   \n",
       "7             0.5     0.5        2.00           0.0         11.80  -0.951541   \n",
       "8             0.5     0.5        0.00           0.0          3.80  -0.620219   \n",
       "9             0.5     0.5        0.00           0.0         19.30   0.371103   \n",
       "10            0.5     0.5        0.00           0.0          4.80   1.011352   \n",
       "11            0.5     0.5        2.80           0.0         14.10  -0.114485   \n",
       "12            0.5     0.5        0.00           0.0         12.30  -0.026612   \n",
       "13            0.5     0.5        0.00           0.0         13.00  -0.461994   \n",
       "14            0.5     0.5        0.00           0.0          5.80  -2.590676   \n",
       "15            0.5     0.5        1.10           0.0          7.40  -0.526455   \n",
       "16            0.5     0.5        0.00           0.0          7.80  -0.621240   \n",
       "17            0.5     0.5        0.00           0.0         10.80   0.591035   \n",
       "18            0.5     0.5        1.00           0.0          9.30   0.515205   \n",
       "19            0.5     0.5        0.00           0.0         10.80   0.318144   \n",
       "20            0.5     0.5        0.00           0.0         14.30   0.288601   \n",
       "21            0.5     0.5        0.00           0.0          6.30   1.111334   \n",
       "22            0.5     0.5        0.00           0.0         10.80   2.156428   \n",
       "23            0.5     0.5        0.00           0.0         15.30   0.560522   \n",
       "24            0.5     0.5        0.00           0.0          6.80  -0.486516   \n",
       "25            0.5     0.5        0.00           0.0          5.30   0.721851   \n",
       "26            0.5     0.5        0.00           0.0         12.00  -0.548890   \n",
       "27            0.5     0.5        2.30           0.0         14.60  -0.804250   \n",
       "28            0.5     0.5        2.80           0.0         17.60  -2.012567   \n",
       "29            0.0     0.5        1.15           0.0          6.95   1.721125   \n",
       "...           ...     ...         ...           ...           ...        ...   \n",
       "727277        0.5     0.5        2.35           0.0         14.15   1.126999   \n",
       "727278        0.5     0.5        0.00           0.0         19.80  -1.209206   \n",
       "727279        0.5     0.5        0.00           0.0          6.80  -0.045936   \n",
       "727280        0.5     0.5        0.00           0.0          8.00  -1.390282   \n",
       "727281        0.5     0.5        0.00           0.0          7.30   0.860214   \n",
       "727282        0.5     0.5        1.40           0.0          9.20  -1.221995   \n",
       "727283        0.5     0.5        0.00           0.0         10.80   0.295962   \n",
       "727284        0.5     0.5        1.75           0.0         10.55  -0.872670   \n",
       "727285        0.5     0.5        2.60           0.0         16.40  -1.251694   \n",
       "727287        0.5     0.5        0.00           0.0          4.80  -0.141375   \n",
       "727288        0.5     0.5        2.25           0.0         12.05   0.855186   \n",
       "727289        0.5     0.5        2.87           0.0         14.37  -0.618268   \n",
       "727290        0.5     0.5        1.10           0.0          7.40  -0.529729   \n",
       "727291        0.5     0.5        1.70           0.0         11.00  -0.546992   \n",
       "727293        0.5     0.5        3.95           0.0         19.75  -0.017351   \n",
       "727294        0.5     0.5        2.00           0.0          8.80   0.410071   \n",
       "727295        0.5     0.5        0.00           0.0          6.30  -0.605633   \n",
       "727296        0.5     0.5        0.00           0.0          7.30  -1.644979   \n",
       "727297        0.5     0.5        2.00           0.0         12.80   0.258184   \n",
       "727298        0.5     0.5        1.90           0.0         12.20   0.880409   \n",
       "727299        0.5     0.5        2.20           0.0         12.00   0.819357   \n",
       "727300        0.5     0.5        0.00           0.0          6.80  -0.352088   \n",
       "727301        0.5     0.5        0.00           0.0          7.80  -0.061610   \n",
       "727302        0.5     0.5        0.00           0.0         13.30  -0.576338   \n",
       "727303        0.5     0.5        4.25           0.0         25.55  -0.280207   \n",
       "727304        0.5     0.5        1.00           0.0          6.80  -0.476299   \n",
       "727305        0.5     0.5        1.65           0.0          7.95  -0.638437   \n",
       "727306        0.5     0.5        0.00           0.0          6.30   0.411651   \n",
       "727307        0.5     0.5        0.00           0.0         10.30   0.823198   \n",
       "727308        0.5     0.5        0.00           0.0         13.80  -0.363738   \n",
       "\n",
       "        new_col  Outlier  \n",
       "0             0    False  \n",
       "1             1    False  \n",
       "2             2    False  \n",
       "3             3    False  \n",
       "4             4    False  \n",
       "5             5    False  \n",
       "6             6    False  \n",
       "7             7    False  \n",
       "8             8    False  \n",
       "9             9    False  \n",
       "10           10    False  \n",
       "11           11    False  \n",
       "12           12    False  \n",
       "13           13    False  \n",
       "14           14    False  \n",
       "15           15    False  \n",
       "16           16    False  \n",
       "17           17    False  \n",
       "18           18    False  \n",
       "19           19    False  \n",
       "20           20    False  \n",
       "21           21    False  \n",
       "22           22    False  \n",
       "23           23    False  \n",
       "24           24    False  \n",
       "25           25    False  \n",
       "26           26    False  \n",
       "27           27    False  \n",
       "28           28    False  \n",
       "29           29    False  \n",
       "...         ...      ...  \n",
       "727277   727277    False  \n",
       "727278   727278    False  \n",
       "727279   727279    False  \n",
       "727280   727280    False  \n",
       "727281   727281    False  \n",
       "727282   727282    False  \n",
       "727283   727283    False  \n",
       "727284   727284    False  \n",
       "727285   727285    False  \n",
       "727287   727287    False  \n",
       "727288   727288    False  \n",
       "727289   727289    False  \n",
       "727290   727290    False  \n",
       "727291   727291    False  \n",
       "727293   727293    False  \n",
       "727294   727294    False  \n",
       "727295   727295    False  \n",
       "727296   727296    False  \n",
       "727297   727297    False  \n",
       "727298   727298    False  \n",
       "727299   727299    False  \n",
       "727300   727300    False  \n",
       "727301   727301    False  \n",
       "727302   727302    False  \n",
       "727303   727303    False  \n",
       "727304   727304    False  \n",
       "727305   727305    False  \n",
       "727306   727306    False  \n",
       "727307   727307    False  \n",
       "727308   727308    False  \n",
       "\n",
       "[638764 rows x 23 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Remove outliers from tip_amount\n",
    "\n",
    "data['Outlier'] = abs(data['Tip Amount'] - data['Tip Amount'].mean()) > 1.96*data['Tip Amount'].std()\n",
    "data['Outlier'].value_counts()\n",
    "\n",
    "a = data[data.Outlier != True]\n",
    "a\n",
    "\n",
    "#remove outliers Total Amount\n",
    "a['Outlier'] = abs(a['Total Amount'] - a['Total Amount'].mean()) > 1.96*a['Total Amount'].std()\n",
    "a['Outlier'].value_counts()\n",
    "    \n",
    "b = a[a.Outlier != True]\n",
    "b\n",
    "\n",
    "#remove outliers Total Amount\n",
    "b['Outlier'] = abs(b['Trip Distance (in miles)'] - b['Trip Distance (in miles)'].mean()) > 1.96*b['Trip Distance (in miles)'].std()\n",
    "b['Outlier'].value_counts()\n",
    "    \n",
    "c = b[b.Outlier != True]\n",
    "c\n",
    "\n",
    "#remove outliers Passenger Count\n",
    "c['Outlier'] = abs(c['Trip Distance (in miles)'] - c['Trip Distance (in miles)'].mean()) > 1.96*c['Trip Distance (in miles)'].std()\n",
    "c['Outlier'].value_counts()\n",
    "    \n",
    "data_without_outliers = c[c.Outlier != True]\n",
    "\n",
    "data_without_outliers\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
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       "        text-align: right;\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Tip Amount</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>7.273100e+05</td>\n",
       "      <td>727310.000000</td>\n",
       "      <td>727310.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>15.081973</td>\n",
       "      <td>1.783453</td>\n",
       "      <td>1.959882e+01</td>\n",
       "      <td>0.329787</td>\n",
       "      <td>1.280769</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>13.160194</td>\n",
       "      <td>1.361950</td>\n",
       "      <td>1.407088e+04</td>\n",
       "      <td>0.344260</td>\n",
       "      <td>2.473669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>-100.300000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-92.420000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>8.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.090000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>11.150000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.830000e+00</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>16.800000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>3.440000e+00</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>1.950000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>3006.350000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>1.200000e+07</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>850.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Total Amount  Passenger Count  Trip Distance (in miles)  \\\n",
       "count  727310.000000    727310.000000              7.273100e+05   \n",
       "mean       15.081973         1.783453              1.959882e+01   \n",
       "std        13.160194         1.361950              1.407088e+04   \n",
       "min      -100.300000         0.000000              0.000000e+00   \n",
       "25%         8.000000         1.000000              1.090000e+00   \n",
       "50%        11.150000         1.000000              1.830000e+00   \n",
       "75%        16.800000         2.000000              3.440000e+00   \n",
       "max      3006.350000         9.000000              1.200000e+07   \n",
       "\n",
       "           Surcharge     Tip Amount  \n",
       "count  727310.000000  727310.000000  \n",
       "mean        0.329787       1.280769  \n",
       "std         0.344260       2.473669  \n",
       "min        -1.000000     -92.420000  \n",
       "25%         0.000000       0.000000  \n",
       "50%         0.500000       0.000000  \n",
       "75%         0.500000       1.950000  \n",
       "max         9.000000     850.000000  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Tip Amount']].describe()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
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       "        text-align: right;\n",
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       "\n",
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       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Tip Amount</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>638764.000000</td>\n",
       "      <td>638764.000000</td>\n",
       "      <td>638764.000000</td>\n",
       "      <td>638764.000000</td>\n",
       "      <td>638764.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>11.372894</td>\n",
       "      <td>1.776689</td>\n",
       "      <td>1.994112</td>\n",
       "      <td>0.338608</td>\n",
       "      <td>0.935600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>4.838188</td>\n",
       "      <td>1.360779</td>\n",
       "      <td>1.323293</td>\n",
       "      <td>0.347733</td>\n",
       "      <td>1.198002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>-6.800000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-2.700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>7.800000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>10.300000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.610000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>14.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>2.700000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>1.700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>34.400000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>6.120000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>6.120000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Total Amount  Passenger Count  Trip Distance (in miles)  \\\n",
       "count  638764.000000    638764.000000             638764.000000   \n",
       "mean       11.372894         1.776689                  1.994112   \n",
       "std         4.838188         1.360779                  1.323293   \n",
       "min        -6.800000         0.000000                  0.000000   \n",
       "25%         7.800000         1.000000                  1.000000   \n",
       "50%        10.300000         1.000000                  1.610000   \n",
       "75%        14.000000         2.000000                  2.700000   \n",
       "max        34.400000         9.000000                  6.120000   \n",
       "\n",
       "           Surcharge     Tip Amount  \n",
       "count  638764.000000  638764.000000  \n",
       "mean        0.338608       0.935600  \n",
       "std         0.347733       1.198002  \n",
       "min        -1.000000      -2.700000  \n",
       "25%         0.000000       0.000000  \n",
       "50%         0.500000       0.000000  \n",
       "75%         0.500000       1.700000  \n",
       "max         9.000000       6.120000  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_without_outliers[ ['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Tip Amount']].describe()\n",
    "#data_without_outliers.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    },
    {
     "data": {
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       "      <th></th>\n",
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       "      <th>Pickup Date</th>\n",
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       "      <th>Pickup Latitude</th>\n",
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       "      <td>-0.745851</td>\n",
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       "      <td>20150101</td>\n",
       "      <td>0:10:52.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.950500</td>\n",
       "      <td>40.769863</td>\n",
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       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
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       "      <td>0.5</td>\n",
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       "      <td>40.786282</td>\n",
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       "      <td>CSH</td>\n",
       "      <td>18.0</td>\n",
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       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.30</td>\n",
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       "      <td>2015-01-01</td>\n",
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       "      <td>20150101</td>\n",
       "      <td>0:02:25.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>0.31</td>\n",
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       "      <td>40.717430</td>\n",
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       "      <td>CSH</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>1.011352</td>\n",
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       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>2015-01-01</td>\n",
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       "      <td>20150101</td>\n",
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       "      <td>CRD</td>\n",
       "      <td>10.0</td>\n",
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       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.10</td>\n",
       "      <td>-0.114485</td>\n",
       "      <td>11</td>\n",
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       "      <td>0:00:07.000</td>\n",
       "      <td>20150101</td>\n",
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       "      <td>CMT</td>\n",
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       "      <td>40.795406</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
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       "      <td>0.5</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>12.30</td>\n",
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       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>2015-01-01</td>\n",
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       "      <td>20150101</td>\n",
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       "      <td>40.737263</td>\n",
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       "      <td>CSH</td>\n",
       "      <td>12.0</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.00</td>\n",
       "      <td>-0.461994</td>\n",
       "      <td>13</td>\n",
       "      <td>False</td>\n",
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       "      <td>0.0</td>\n",
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       "    <tr>\n",
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       "      <td>15</td>\n",
       "      <td>2015-01-01</td>\n",
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       "      <td>20150101</td>\n",
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       "      <td>0.5</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>7.40</td>\n",
       "      <td>-0.526455</td>\n",
       "      <td>15</td>\n",
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       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:08.000</td>\n",
       "      <td>20150101</td>\n",
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       "      <td>VTS</td>\n",
       "      <td>5</td>\n",
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       "      <td>-73.972588</td>\n",
       "      <td>40.749298</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.5</td>\n",
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       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.80</td>\n",
       "      <td>-0.621240</td>\n",
       "      <td>16</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>2015-01-01</td>\n",
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       "      <td>20150101</td>\n",
       "      <td>0:11:08.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.90</td>\n",
       "      <td>-73.940056</td>\n",
       "      <td>40.841171</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.591035</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:07:34.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.951645</td>\n",
       "      <td>40.725502</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.30</td>\n",
       "      <td>0.515205</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:36.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>-74.000526</td>\n",
       "      <td>40.730091</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.318144</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:09.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:48.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>3.47</td>\n",
       "      <td>-74.001343</td>\n",
       "      <td>40.731297</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.30</td>\n",
       "      <td>0.288601</td>\n",
       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:11.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:03:20.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.930420</td>\n",
       "      <td>40.761150</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.30</td>\n",
       "      <td>1.111334</td>\n",
       "      <td>21</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:11.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:12:54.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.40</td>\n",
       "      <td>-73.986000</td>\n",
       "      <td>40.740601</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>2.156428</td>\n",
       "      <td>22</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:12.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:13:53.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>-74.002014</td>\n",
       "      <td>40.730515</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>15.30</td>\n",
       "      <td>0.560522</td>\n",
       "      <td>23</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:13.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:04:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>0.92</td>\n",
       "      <td>-73.983208</td>\n",
       "      <td>40.753807</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.486516</td>\n",
       "      <td>24</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:02:46.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>0.42</td>\n",
       "      <td>-73.954048</td>\n",
       "      <td>40.770466</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>5.30</td>\n",
       "      <td>0.721851</td>\n",
       "      <td>25</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>26</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:13:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>2.22</td>\n",
       "      <td>-73.993675</td>\n",
       "      <td>40.752396</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.00</td>\n",
       "      <td>-0.548890</td>\n",
       "      <td>26</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>27</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:15:14.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.17</td>\n",
       "      <td>-74.007133</td>\n",
       "      <td>40.739491</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.30</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.60</td>\n",
       "      <td>-0.804250</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>28</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:14.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:17:16.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.94</td>\n",
       "      <td>-73.988213</td>\n",
       "      <td>40.723652</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>13.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>17.60</td>\n",
       "      <td>-2.012567</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>29</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>0:00:16.000</td>\n",
       "      <td>20150101</td>\n",
       "      <td>0:05:11.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.999847</td>\n",
       "      <td>40.728493</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.15</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.95</td>\n",
       "      <td>1.721125</td>\n",
       "      <td>29</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638734</th>\n",
       "      <td>727277</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:53.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:14:38.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>-73.987213</td>\n",
       "      <td>40.736176</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.15</td>\n",
       "      <td>1.126999</td>\n",
       "      <td>638734</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638735</th>\n",
       "      <td>727278</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:53.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:17:31.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>5.74</td>\n",
       "      <td>-73.963516</td>\n",
       "      <td>40.757732</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>18.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.80</td>\n",
       "      <td>-1.209206</td>\n",
       "      <td>638735</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638736</th>\n",
       "      <td>727279</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:16.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>1.20</td>\n",
       "      <td>-74.006157</td>\n",
       "      <td>40.734341</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.045936</td>\n",
       "      <td>638736</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638737</th>\n",
       "      <td>727280</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:20.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.73</td>\n",
       "      <td>-73.983742</td>\n",
       "      <td>40.725788</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.00</td>\n",
       "      <td>-1.390282</td>\n",
       "      <td>638737</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638738</th>\n",
       "      <td>727281</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:33.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>4</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.973900</td>\n",
       "      <td>40.764736</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.30</td>\n",
       "      <td>0.860214</td>\n",
       "      <td>638738</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638739</th>\n",
       "      <td>727282</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:05:41.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.23</td>\n",
       "      <td>-73.980301</td>\n",
       "      <td>40.743378</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.40</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.20</td>\n",
       "      <td>-1.221995</td>\n",
       "      <td>638739</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638740</th>\n",
       "      <td>727283</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:09:25.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>-73.959976</td>\n",
       "      <td>40.773575</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>0.295962</td>\n",
       "      <td>638740</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638741</th>\n",
       "      <td>727284</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:09:35.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>-74.002861</td>\n",
       "      <td>40.732578</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>7.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.55</td>\n",
       "      <td>-0.872670</td>\n",
       "      <td>638741</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638742</th>\n",
       "      <td>727285</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:54.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:53.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>3.25</td>\n",
       "      <td>-73.983994</td>\n",
       "      <td>40.675983</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>12.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.60</td>\n",
       "      <td>0.0</td>\n",
       "      <td>16.40</td>\n",
       "      <td>-1.251694</td>\n",
       "      <td>638742</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638743</th>\n",
       "      <td>727287</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:02:03.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>2</td>\n",
       "      <td>0.46</td>\n",
       "      <td>-73.999313</td>\n",
       "      <td>40.726795</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>-0.141375</td>\n",
       "      <td>638743</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638744</th>\n",
       "      <td>727288</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:43.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.14</td>\n",
       "      <td>-73.986465</td>\n",
       "      <td>40.755730</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.05</td>\n",
       "      <td>0.855186</td>\n",
       "      <td>638744</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638745</th>\n",
       "      <td>727289</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:55.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:11:00.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>2.30</td>\n",
       "      <td>-73.977974</td>\n",
       "      <td>40.788719</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>10.2</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.87</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.37</td>\n",
       "      <td>-0.618268</td>\n",
       "      <td>638745</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638746</th>\n",
       "      <td>727290</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:58.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>-73.995247</td>\n",
       "      <td>40.749649</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.40</td>\n",
       "      <td>-0.529729</td>\n",
       "      <td>638746</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638747</th>\n",
       "      <td>727291</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:07:04.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>6</td>\n",
       "      <td>1.74</td>\n",
       "      <td>-73.968544</td>\n",
       "      <td>40.759045</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.00</td>\n",
       "      <td>-0.546992</td>\n",
       "      <td>638747</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638748</th>\n",
       "      <td>727293</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:56.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:15:08.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.60</td>\n",
       "      <td>-73.981346</td>\n",
       "      <td>40.679794</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>14.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>3.95</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.75</td>\n",
       "      <td>-0.017351</td>\n",
       "      <td>638748</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638749</th>\n",
       "      <td>727294</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:31.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-73.998611</td>\n",
       "      <td>40.745129</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.80</td>\n",
       "      <td>0.410071</td>\n",
       "      <td>638749</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638750</th>\n",
       "      <td>727295</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:56.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.40</td>\n",
       "      <td>-73.954826</td>\n",
       "      <td>40.773315</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.30</td>\n",
       "      <td>-0.605633</td>\n",
       "      <td>638750</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638751</th>\n",
       "      <td>727296</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:06:38.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>3</td>\n",
       "      <td>0.98</td>\n",
       "      <td>-73.973106</td>\n",
       "      <td>40.764236</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.30</td>\n",
       "      <td>-1.644979</td>\n",
       "      <td>638751</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638752</th>\n",
       "      <td>727297</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:08:29.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.26</td>\n",
       "      <td>-73.990021</td>\n",
       "      <td>40.735031</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.80</td>\n",
       "      <td>0.258184</td>\n",
       "      <td>638752</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638753</th>\n",
       "      <td>727298</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:21.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>-73.988884</td>\n",
       "      <td>40.745262</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.20</td>\n",
       "      <td>0.880409</td>\n",
       "      <td>638753</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638754</th>\n",
       "      <td>727299</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:57.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:25.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>8.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.20</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12.00</td>\n",
       "      <td>0.819357</td>\n",
       "      <td>638754</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638755</th>\n",
       "      <td>727300</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:33.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>1.01</td>\n",
       "      <td>-74.001480</td>\n",
       "      <td>40.735950</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.352088</td>\n",
       "      <td>638755</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638756</th>\n",
       "      <td>727301</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:07:51.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-74.001434</td>\n",
       "      <td>40.737099</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>6.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.80</td>\n",
       "      <td>-0.061610</td>\n",
       "      <td>638756</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638757</th>\n",
       "      <td>727302</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:12:51.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>3.10</td>\n",
       "      <td>-73.959846</td>\n",
       "      <td>40.801319</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.30</td>\n",
       "      <td>-0.576338</td>\n",
       "      <td>638757</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638758</th>\n",
       "      <td>727303</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:58.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:23:06.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>5.30</td>\n",
       "      <td>-73.981506</td>\n",
       "      <td>40.757835</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>4.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>25.55</td>\n",
       "      <td>-0.280207</td>\n",
       "      <td>638758</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638759</th>\n",
       "      <td>727304</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:02:19.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>5</td>\n",
       "      <td>0.77</td>\n",
       "      <td>-73.955917</td>\n",
       "      <td>40.779297</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>-0.476299</td>\n",
       "      <td>638759</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638760</th>\n",
       "      <td>727305</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:03:57.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>0.62</td>\n",
       "      <td>-73.945473</td>\n",
       "      <td>40.711536</td>\n",
       "      <td>...</td>\n",
       "      <td>CRD</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.65</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.95</td>\n",
       "      <td>-0.638437</td>\n",
       "      <td>638760</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638761</th>\n",
       "      <td>727306</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:04:14.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>2</td>\n",
       "      <td>0.80</td>\n",
       "      <td>-73.977448</td>\n",
       "      <td>40.758080</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.30</td>\n",
       "      <td>0.411651</td>\n",
       "      <td>638761</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638762</th>\n",
       "      <td>727307</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:08:39.000</td>\n",
       "      <td>VTS</td>\n",
       "      <td>1</td>\n",
       "      <td>2.19</td>\n",
       "      <td>-74.003235</td>\n",
       "      <td>40.743900</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.30</td>\n",
       "      <td>0.823198</td>\n",
       "      <td>638762</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638763</th>\n",
       "      <td>727308</td>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>23:59:59.000</td>\n",
       "      <td>20150103</td>\n",
       "      <td>0:10:17.000</td>\n",
       "      <td>CMT</td>\n",
       "      <td>1</td>\n",
       "      <td>3.50</td>\n",
       "      <td>-73.983475</td>\n",
       "      <td>40.693642</td>\n",
       "      <td>...</td>\n",
       "      <td>CSH</td>\n",
       "      <td>12.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.80</td>\n",
       "      <td>-0.363738</td>\n",
       "      <td>638763</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>638764 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         index Pickup Date   Pickup Time  Dropoff Date Dropoff Time Vendor ID  \\\n",
       "0            0  2015-01-01   0:00:00.000      20150101  0:00:00.000       VTS   \n",
       "1            1  2015-01-01   0:00:00.000      20150101  0:00:00.000       VTS   \n",
       "2            2  2015-01-01   0:00:00.000      20150101  0:11:26.000       CMT   \n",
       "3            3  2015-01-01   0:00:01.000      20150101  0:03:49.000       CMT   \n",
       "4            4  2015-01-01   0:00:03.000      20150101  0:10:50.000       VTS   \n",
       "5            5  2015-01-01   0:00:03.000      20150101  0:21:48.000       VTS   \n",
       "6            6  2015-01-01   0:00:04.000      20150101  0:10:44.000       CMT   \n",
       "7            7  2015-01-01   0:00:05.000      20150101  0:10:52.000       VTS   \n",
       "8            8  2015-01-01   0:00:06.000      20150101  0:00:48.000       CMT   \n",
       "9            9  2015-01-01   0:00:06.000      20150101  0:15:15.000       VTS   \n",
       "10          10  2015-01-01   0:00:07.000      20150101  0:02:25.000       VTS   \n",
       "11          11  2015-01-01   0:00:07.000      20150101  0:11:07.000       CMT   \n",
       "12          12  2015-01-01   0:00:07.000      20150101  0:11:26.000       CMT   \n",
       "13          13  2015-01-01   0:00:07.000      20150101  0:16:47.000       VTS   \n",
       "14          14  2015-01-01   0:00:08.000      20150101  0:02:28.000       CMT   \n",
       "15          15  2015-01-01   0:00:08.000      20150101  0:03:40.000       VTS   \n",
       "16          16  2015-01-01   0:00:08.000      20150101  0:07:32.000       VTS   \n",
       "17          17  2015-01-01   0:00:08.000      20150101  0:11:08.000       CMT   \n",
       "18          18  2015-01-01   0:00:09.000      20150101  0:07:34.000       CMT   \n",
       "19          19  2015-01-01   0:00:09.000      20150101  0:12:36.000       VTS   \n",
       "20          20  2015-01-01   0:00:09.000      20150101  0:12:48.000       VTS   \n",
       "21          21  2015-01-01   0:00:11.000      20150101  0:03:20.000       CMT   \n",
       "22          22  2015-01-01   0:00:11.000      20150101  0:12:54.000       CMT   \n",
       "23          23  2015-01-01   0:00:12.000      20150101  0:13:53.000       CMT   \n",
       "24          24  2015-01-01   0:00:13.000      20150101  0:04:58.000       VTS   \n",
       "25          25  2015-01-01   0:00:14.000      20150101  0:02:46.000       VTS   \n",
       "26          26  2015-01-01   0:00:14.000      20150101  0:13:58.000       VTS   \n",
       "27          27  2015-01-01   0:00:14.000      20150101  0:15:14.000       VTS   \n",
       "28          28  2015-01-01   0:00:14.000      20150101  0:17:16.000       VTS   \n",
       "29          29  2015-01-01   0:00:16.000      20150101  0:05:11.000       CMT   \n",
       "...        ...         ...           ...           ...          ...       ...   \n",
       "638734  727277  2015-01-02  23:59:53.000      20150103  0:14:38.000       CMT   \n",
       "638735  727278  2015-01-02  23:59:53.000      20150103  0:17:31.000       VTS   \n",
       "638736  727279  2015-01-02  23:59:54.000      20150103  0:03:16.000       CMT   \n",
       "638737  727280  2015-01-02  23:59:54.000      20150103  0:05:20.000       VTS   \n",
       "638738  727281  2015-01-02  23:59:54.000      20150103  0:05:33.000       CMT   \n",
       "638739  727282  2015-01-02  23:59:54.000      20150103  0:05:41.000       VTS   \n",
       "638740  727283  2015-01-02  23:59:54.000      20150103  0:09:25.000       CMT   \n",
       "638741  727284  2015-01-02  23:59:54.000      20150103  0:09:35.000       CMT   \n",
       "638742  727285  2015-01-02  23:59:54.000      20150103  0:10:53.000       VTS   \n",
       "638743  727287  2015-01-02  23:59:55.000      20150103  0:02:03.000       VTS   \n",
       "638744  727288  2015-01-02  23:59:55.000      20150103  0:10:43.000       VTS   \n",
       "638745  727289  2015-01-02  23:59:55.000      20150103  0:11:00.000       CMT   \n",
       "638746  727290  2015-01-02  23:59:56.000      20150103  0:03:58.000       VTS   \n",
       "638747  727291  2015-01-02  23:59:56.000      20150103  0:07:04.000       VTS   \n",
       "638748  727293  2015-01-02  23:59:56.000      20150103  0:15:08.000       CMT   \n",
       "638749  727294  2015-01-02  23:59:57.000      20150103  0:04:31.000       CMT   \n",
       "638750  727295  2015-01-02  23:59:57.000      20150103  0:04:56.000       CMT   \n",
       "638751  727296  2015-01-02  23:59:57.000      20150103  0:06:38.000       VTS   \n",
       "638752  727297  2015-01-02  23:59:57.000      20150103  0:08:29.000       VTS   \n",
       "638753  727298  2015-01-02  23:59:57.000      20150103  0:10:21.000       VTS   \n",
       "638754  727299  2015-01-02  23:59:57.000      20150103  0:10:25.000       CMT   \n",
       "638755  727300  2015-01-02  23:59:58.000      20150103  0:04:33.000       VTS   \n",
       "638756  727301  2015-01-02  23:59:58.000      20150103  0:07:51.000       CMT   \n",
       "638757  727302  2015-01-02  23:59:58.000      20150103  0:12:51.000       CMT   \n",
       "638758  727303  2015-01-02  23:59:58.000      20150103  0:23:06.000       CMT   \n",
       "638759  727304  2015-01-02  23:59:59.000      20150103  0:02:19.000       VTS   \n",
       "638760  727305  2015-01-02  23:59:59.000      20150103  0:03:57.000       VTS   \n",
       "638761  727306  2015-01-02  23:59:59.000      20150103  0:04:14.000       CMT   \n",
       "638762  727307  2015-01-02  23:59:59.000      20150103  0:08:39.000       VTS   \n",
       "638763  727308  2015-01-02  23:59:59.000      20150103  0:10:17.000       CMT   \n",
       "\n",
       "        Passenger Count  Trip Distance (in miles)  Pickup Longitude  \\\n",
       "0                     1                      1.68        -73.991547   \n",
       "1                     3                      1.56        -74.001320   \n",
       "2                     5                      4.00        -73.971436   \n",
       "3                     1                      0.80        -73.860847   \n",
       "4                     1                      1.58        -73.987579   \n",
       "5                     2                      2.57        -73.969017   \n",
       "6                     3                      2.50        -73.957008   \n",
       "7                     2                      1.30        -73.950500   \n",
       "8                     2                      0.00        -73.985367   \n",
       "9                     3                      5.62        -73.978104   \n",
       "10                    6                      0.31        -74.009148   \n",
       "11                    1                      2.10        -74.001915   \n",
       "12                    1                      2.50        -73.971382   \n",
       "13                    2                      2.23        -73.974152   \n",
       "14                    2                      0.90        -73.962776   \n",
       "15                    1                      0.83        -73.972687   \n",
       "16                    5                      0.85        -73.972588   \n",
       "17                    1                      1.90        -73.940056   \n",
       "18                    1                      1.30        -73.951645   \n",
       "19                    1                      1.37        -74.000526   \n",
       "20                    1                      3.47        -74.001343   \n",
       "21                    1                      1.00        -73.930420   \n",
       "22                    1                      1.40        -73.986000   \n",
       "23                    1                      3.80        -74.002014   \n",
       "24                    3                      0.92        -73.983208   \n",
       "25                    6                      0.42        -73.954048   \n",
       "26                    2                      2.22        -73.993675   \n",
       "27                    1                      2.17        -74.007133   \n",
       "28                    1                      2.94        -73.988213   \n",
       "29                    1                      0.80        -73.999847   \n",
       "...                 ...                       ...               ...   \n",
       "638734                2                      1.30        -73.987213   \n",
       "638735                1                      5.74        -73.963516   \n",
       "638736                2                      1.20        -74.006157   \n",
       "638737                1                      1.73        -73.983742   \n",
       "638738                4                      1.00        -73.973900   \n",
       "638739                1                      1.23        -73.980301   \n",
       "638740                1                      2.50        -73.959976   \n",
       "638741                1                      0.90        -74.002861   \n",
       "638742                2                      3.25        -73.983994   \n",
       "638743                2                      0.46        -73.999313   \n",
       "638744                1                      1.14        -73.986465   \n",
       "638745                1                      2.30        -73.977974   \n",
       "638746                1                      0.83        -73.995247   \n",
       "638747                6                      1.74        -73.968544   \n",
       "638748                1                      3.60        -73.981346   \n",
       "638749                1                      1.00        -73.998611   \n",
       "638750                2                      0.40        -73.954826   \n",
       "638751                3                      0.98        -73.973106   \n",
       "638752                1                      2.26        -73.990021   \n",
       "638753                1                      1.85        -73.988884   \n",
       "638754                1                      1.20          0.000000   \n",
       "638755                1                      1.01        -74.001480   \n",
       "638756                1                      1.00        -74.001434   \n",
       "638757                2                      3.10        -73.959846   \n",
       "638758                2                      5.30        -73.981506   \n",
       "638759                5                      0.77        -73.955917   \n",
       "638760                1                      0.62        -73.945473   \n",
       "638761                2                      0.80        -73.977448   \n",
       "638762                1                      2.19        -74.003235   \n",
       "638763                1                      3.50        -73.983475   \n",
       "\n",
       "        Pickup Latitude   ...     Payment Type Fare Amount  Surcharge  \\\n",
       "0             40.750069   ...              CSH        10.0        0.0   \n",
       "1             40.729057   ...              CRD         7.5        0.5   \n",
       "2             40.760201   ...              CSH        13.5        0.5   \n",
       "3             40.757294   ...              CSH         5.0        0.5   \n",
       "4             40.765270   ...              CRD         9.0        0.5   \n",
       "5             40.754269   ...              CSH        14.5        0.5   \n",
       "6             40.774502   ...              CSH        10.5        0.5   \n",
       "7             40.769863   ...              CRD         8.5        0.5   \n",
       "8             40.710770   ...              NOC         2.5        0.5   \n",
       "9             40.786282   ...              CSH        18.0        0.5   \n",
       "10            40.717430   ...              CSH         3.5        0.5   \n",
       "11            40.739483   ...              CRD        10.0        0.5   \n",
       "12            40.795406   ...              CSH        11.0        0.5   \n",
       "13            40.737263   ...              CSH        12.0        0.5   \n",
       "14            40.815151   ...              CSH         4.5        0.5   \n",
       "15            40.795761   ...              CRD         5.0        0.5   \n",
       "16            40.749298   ...              CSH         6.5        0.5   \n",
       "17            40.841171   ...              CSH         9.5        0.5   \n",
       "18            40.725502   ...              CRD         7.0        0.5   \n",
       "19            40.730091   ...              CSH         9.5        0.5   \n",
       "20            40.731297   ...              CSH        13.0        0.5   \n",
       "21            40.761150   ...              CSH         5.0        0.5   \n",
       "22            40.740601   ...              CSH         9.5        0.5   \n",
       "23            40.730515   ...              CSH        14.0        0.5   \n",
       "24            40.753807   ...              CSH         5.5        0.5   \n",
       "25            40.770466   ...              CSH         4.0        0.5   \n",
       "26            40.752396   ...              CSH        11.0        0.5   \n",
       "27            40.739491   ...              CRD        11.0        0.5   \n",
       "28            40.723652   ...              CRD        13.5        0.5   \n",
       "29            40.728493   ...              CRD         5.0        0.0   \n",
       "...                 ...   ...              ...         ...        ...   \n",
       "638734        40.736176   ...              CRD        10.5        0.5   \n",
       "638735        40.757732   ...              CSH        18.5        0.5   \n",
       "638736        40.734341   ...              CSH         5.5        0.5   \n",
       "638737        40.725788   ...              CSH         7.0        0.5   \n",
       "638738        40.764736   ...              CSH         6.0        0.5   \n",
       "638739        40.743378   ...              CRD         6.5        0.5   \n",
       "638740        40.773575   ...              CSH         9.5        0.5   \n",
       "638741        40.732578   ...              CRD         7.5        0.5   \n",
       "638742        40.675983   ...              CRD        12.5        0.5   \n",
       "638743        40.726795   ...              CSH         3.5        0.5   \n",
       "638744        40.755730   ...              CRD         8.5        0.5   \n",
       "638745        40.788719   ...              CRD        10.2        0.5   \n",
       "638746        40.749649   ...              CRD         5.0        0.5   \n",
       "638747        40.759045   ...              CRD         8.0        0.5   \n",
       "638748        40.679794   ...              CRD        14.5        0.5   \n",
       "638749        40.745129   ...              CRD         5.5        0.5   \n",
       "638750        40.773315   ...              CSH         5.0        0.5   \n",
       "638751        40.764236   ...              CSH         6.0        0.5   \n",
       "638752        40.735031   ...              CRD         9.5        0.5   \n",
       "638753        40.745262   ...              CRD         9.0        0.5   \n",
       "638754         0.000000   ...              CRD         8.5        0.5   \n",
       "638755        40.735950   ...              CSH         5.5        0.5   \n",
       "638756        40.737099   ...              CSH         6.5        0.5   \n",
       "638757        40.801319   ...              CSH        12.0        0.5   \n",
       "638758        40.757835   ...              CRD        20.0        0.5   \n",
       "638759        40.779297   ...              CRD         4.5        0.5   \n",
       "638760        40.711536   ...              CRD         5.0        0.5   \n",
       "638761        40.758080   ...              CSH         5.0        0.5   \n",
       "638762        40.743900   ...              CSH         9.0        0.5   \n",
       "638763        40.693642   ...              CSH        12.5        0.5   \n",
       "\n",
       "        MTA Tax Tip Amount  Tolls Amount  Total Amount  Trip time  new_col  \\\n",
       "0           0.5       0.00           0.0         10.80   0.019935        0   \n",
       "1           0.5       0.00           0.0          8.80  -1.802970        1   \n",
       "2           0.5       0.00           0.0         14.50   0.366903        2   \n",
       "3           0.5       0.00           0.0          6.30   0.425778        3   \n",
       "4           0.5       1.90           0.0         12.20   1.019268        4   \n",
       "5           0.5       0.00           0.0         15.80   0.607194        5   \n",
       "6           0.5       0.00           0.0         11.80  -0.745851        6   \n",
       "7           0.5       2.00           0.0         11.80  -0.951541        7   \n",
       "8           0.5       0.00           0.0          3.80  -0.620219        8   \n",
       "9           0.5       0.00           0.0         19.30   0.371103        9   \n",
       "10          0.5       0.00           0.0          4.80   1.011352       10   \n",
       "11          0.5       2.80           0.0         14.10  -0.114485       11   \n",
       "12          0.5       0.00           0.0         12.30  -0.026612       12   \n",
       "13          0.5       0.00           0.0         13.00  -0.461994       13   \n",
       "14          0.5       0.00           0.0          5.80  -2.590676       14   \n",
       "15          0.5       1.10           0.0          7.40  -0.526455       15   \n",
       "16          0.5       0.00           0.0          7.80  -0.621240       16   \n",
       "17          0.5       0.00           0.0         10.80   0.591035       17   \n",
       "18          0.5       1.00           0.0          9.30   0.515205       18   \n",
       "19          0.5       0.00           0.0         10.80   0.318144       19   \n",
       "20          0.5       0.00           0.0         14.30   0.288601       20   \n",
       "21          0.5       0.00           0.0          6.30   1.111334       21   \n",
       "22          0.5       0.00           0.0         10.80   2.156428       22   \n",
       "23          0.5       0.00           0.0         15.30   0.560522       23   \n",
       "24          0.5       0.00           0.0          6.80  -0.486516       24   \n",
       "25          0.5       0.00           0.0          5.30   0.721851       25   \n",
       "26          0.5       0.00           0.0         12.00  -0.548890       26   \n",
       "27          0.5       2.30           0.0         14.60  -0.804250       27   \n",
       "28          0.5       2.80           0.0         17.60  -2.012567       28   \n",
       "29          0.5       1.15           0.0          6.95   1.721125       29   \n",
       "...         ...        ...           ...           ...        ...      ...   \n",
       "638734      0.5       2.35           0.0         14.15   1.126999   638734   \n",
       "638735      0.5       0.00           0.0         19.80  -1.209206   638735   \n",
       "638736      0.5       0.00           0.0          6.80  -0.045936   638736   \n",
       "638737      0.5       0.00           0.0          8.00  -1.390282   638737   \n",
       "638738      0.5       0.00           0.0          7.30   0.860214   638738   \n",
       "638739      0.5       1.40           0.0          9.20  -1.221995   638739   \n",
       "638740      0.5       0.00           0.0         10.80   0.295962   638740   \n",
       "638741      0.5       1.75           0.0         10.55  -0.872670   638741   \n",
       "638742      0.5       2.60           0.0         16.40  -1.251694   638742   \n",
       "638743      0.5       0.00           0.0          4.80  -0.141375   638743   \n",
       "638744      0.5       2.25           0.0         12.05   0.855186   638744   \n",
       "638745      0.5       2.87           0.0         14.37  -0.618268   638745   \n",
       "638746      0.5       1.10           0.0          7.40  -0.529729   638746   \n",
       "638747      0.5       1.70           0.0         11.00  -0.546992   638747   \n",
       "638748      0.5       3.95           0.0         19.75  -0.017351   638748   \n",
       "638749      0.5       2.00           0.0          8.80   0.410071   638749   \n",
       "638750      0.5       0.00           0.0          6.30  -0.605633   638750   \n",
       "638751      0.5       0.00           0.0          7.30  -1.644979   638751   \n",
       "638752      0.5       2.00           0.0         12.80   0.258184   638752   \n",
       "638753      0.5       1.90           0.0         12.20   0.880409   638753   \n",
       "638754      0.5       2.20           0.0         12.00   0.819357   638754   \n",
       "638755      0.5       0.00           0.0          6.80  -0.352088   638755   \n",
       "638756      0.5       0.00           0.0          7.80  -0.061610   638756   \n",
       "638757      0.5       0.00           0.0         13.30  -0.576338   638757   \n",
       "638758      0.5       4.25           0.0         25.55  -0.280207   638758   \n",
       "638759      0.5       1.00           0.0          6.80  -0.476299   638759   \n",
       "638760      0.5       1.65           0.0          7.95  -0.638437   638760   \n",
       "638761      0.5       0.00           0.0          6.30   0.411651   638761   \n",
       "638762      0.5       0.00           0.0         10.30   0.823198   638762   \n",
       "638763      0.5       0.00           0.0         13.80  -0.363738   638763   \n",
       "\n",
       "        Outlier  \n",
       "0         False  \n",
       "1         False  \n",
       "2         False  \n",
       "3         False  \n",
       "4         False  \n",
       "5         False  \n",
       "6         False  \n",
       "7         False  \n",
       "8         False  \n",
       "9         False  \n",
       "10        False  \n",
       "11        False  \n",
       "12        False  \n",
       "13        False  \n",
       "14        False  \n",
       "15        False  \n",
       "16        False  \n",
       "17        False  \n",
       "18        False  \n",
       "19        False  \n",
       "20        False  \n",
       "21        False  \n",
       "22        False  \n",
       "23        False  \n",
       "24        False  \n",
       "25        False  \n",
       "26        False  \n",
       "27        False  \n",
       "28        False  \n",
       "29        False  \n",
       "...         ...  \n",
       "638734    False  \n",
       "638735    False  \n",
       "638736    False  \n",
       "638737    False  \n",
       "638738    False  \n",
       "638739    False  \n",
       "638740    False  \n",
       "638741    False  \n",
       "638742    False  \n",
       "638743    False  \n",
       "638744    False  \n",
       "638745    False  \n",
       "638746    False  \n",
       "638747    False  \n",
       "638748    False  \n",
       "638749    False  \n",
       "638750    False  \n",
       "638751    False  \n",
       "638752    False  \n",
       "638753    False  \n",
       "638754    False  \n",
       "638755    False  \n",
       "638756    False  \n",
       "638757    False  \n",
       "638758    False  \n",
       "638759    False  \n",
       "638760    False  \n",
       "638761    False  \n",
       "638762    False  \n",
       "638763    False  \n",
       "\n",
       "[638764 rows x 24 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sLength = len(data_without_outliers['Pickup Time'])\n",
    "data_without_outliers['new_col'] = range(0, sLength)\n",
    "data_without_outliers = data_without_outliers.reset_index()\n",
    "data_without_outliers['new_col'] = data_without_outliers.index\n",
    "data_without_outliers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dummy Variables / creation of the good dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 1, ..., 1, 0, 1], dtype=object)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#Dummy variable for Vendor ID\n",
    "#*******************************************\n",
    "\n",
    "#data = data.iloc[:6000,]\n",
    "data_without_outliers\n",
    "#Vendor ID\n",
    "\n",
    "#0==> VTS (VeriFone)\n",
    "#1 ==> CMT (creative mobile technology)\n",
    "\n",
    "i=0\n",
    "count = 0\n",
    "\n",
    "a = np.array(data_without_outliers[\"Vendor ID\"])\n",
    "\n",
    "\n",
    "i=0\n",
    "for i in range(0,638764) :\n",
    "    if a[i] ==\"VTS\":\n",
    "        a[i] = 0\n",
    "    elif a[i] == \"CMT\":\n",
    "        a[i] = 1\n",
    "    else: \n",
    "        count +=1\n",
    "a\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, ..., 0, 0, 0], dtype=object)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#Dummy variable for Payment Type\n",
    "#*******************************************\n",
    "\n",
    "b = np.array(data_without_outliers[\"Payment Type\"])\n",
    "\n",
    "#Dummy variable is 2 cat or dummy variable trap (log regre slide 28)\n",
    "\n",
    "#0 ==> CSH\n",
    "#1 ==> CRD, NOC(1000 rows), DIV (1 row)\n",
    "\n",
    "\n",
    "count = 0\n",
    "\n",
    "i=0\n",
    "for i in range(0,638764) :\n",
    "    if b[i] ==\"CSH\":\n",
    "        b[i] = 0\n",
    "    else: \n",
    "        b[i] = 1\n",
    "\n",
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Payment Type Dummy</th>\n",
       "      <th>Vendor ID Dummy</th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Tip Amount</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>8.80</td>\n",
       "      <td>3</td>\n",
       "      <td>1.56</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>14.50</td>\n",
       "      <td>5</td>\n",
       "      <td>4.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>12.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.58</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>15.80</td>\n",
       "      <td>2</td>\n",
       "      <td>2.57</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>11.80</td>\n",
       "      <td>3</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>11.80</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>19.30</td>\n",
       "      <td>3</td>\n",
       "      <td>5.62</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>6</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14.10</td>\n",
       "      <td>1</td>\n",
       "      <td>2.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>12.30</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13.00</td>\n",
       "      <td>2</td>\n",
       "      <td>2.23</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>7.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7.80</td>\n",
       "      <td>5</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>9.30</td>\n",
       "      <td>1</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>14.30</td>\n",
       "      <td>1</td>\n",
       "      <td>3.47</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.30</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.40</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>15.30</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>3</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>5.30</td>\n",
       "      <td>6</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>12.00</td>\n",
       "      <td>2</td>\n",
       "      <td>2.22</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>14.60</td>\n",
       "      <td>1</td>\n",
       "      <td>2.17</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>17.60</td>\n",
       "      <td>1</td>\n",
       "      <td>2.94</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>6.95</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638734</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14.15</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638735</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>19.80</td>\n",
       "      <td>1</td>\n",
       "      <td>5.74</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638736</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.80</td>\n",
       "      <td>2</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638737</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>8.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1.73</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638738</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>7.30</td>\n",
       "      <td>4</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638739</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>9.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.23</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638740</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638741</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>10.55</td>\n",
       "      <td>1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638742</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>16.40</td>\n",
       "      <td>2</td>\n",
       "      <td>3.25</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638743</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.46</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638744</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>12.05</td>\n",
       "      <td>1</td>\n",
       "      <td>1.14</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638745</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14.37</td>\n",
       "      <td>1</td>\n",
       "      <td>2.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638746</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>7.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638747</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>11.00</td>\n",
       "      <td>6</td>\n",
       "      <td>1.74</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638748</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19.75</td>\n",
       "      <td>1</td>\n",
       "      <td>3.60</td>\n",
       "      <td>0.5</td>\n",
       "      <td>3.95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638749</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>8.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638750</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.30</td>\n",
       "      <td>2</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638751</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7.30</td>\n",
       "      <td>3</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638752</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>12.80</td>\n",
       "      <td>1</td>\n",
       "      <td>2.26</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638753</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>12.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638754</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>12.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638755</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.01</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638756</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>7.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638757</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>13.30</td>\n",
       "      <td>2</td>\n",
       "      <td>3.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638758</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>25.55</td>\n",
       "      <td>2</td>\n",
       "      <td>5.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>4.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638759</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>5</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638760</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>7.95</td>\n",
       "      <td>1</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638761</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.30</td>\n",
       "      <td>2</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638762</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10.30</td>\n",
       "      <td>1</td>\n",
       "      <td>2.19</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638763</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>13.80</td>\n",
       "      <td>1</td>\n",
       "      <td>3.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>638764 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       Payment Type Dummy Vendor ID Dummy  Total Amount  Passenger Count  \\\n",
       "0                       0               0         10.80                1   \n",
       "1                       1               0          8.80                3   \n",
       "2                       0               1         14.50                5   \n",
       "3                       0               1          6.30                1   \n",
       "4                       1               0         12.20                1   \n",
       "5                       0               0         15.80                2   \n",
       "6                       0               1         11.80                3   \n",
       "7                       1               0         11.80                2   \n",
       "8                       1               1          3.80                2   \n",
       "9                       0               0         19.30                3   \n",
       "10                      0               0          4.80                6   \n",
       "11                      1               1         14.10                1   \n",
       "12                      0               1         12.30                1   \n",
       "13                      0               0         13.00                2   \n",
       "14                      0               1          5.80                2   \n",
       "15                      1               0          7.40                1   \n",
       "16                      0               0          7.80                5   \n",
       "17                      0               1         10.80                1   \n",
       "18                      1               1          9.30                1   \n",
       "19                      0               0         10.80                1   \n",
       "20                      0               0         14.30                1   \n",
       "21                      0               1          6.30                1   \n",
       "22                      0               1         10.80                1   \n",
       "23                      0               1         15.30                1   \n",
       "24                      0               0          6.80                3   \n",
       "25                      0               0          5.30                6   \n",
       "26                      0               0         12.00                2   \n",
       "27                      1               0         14.60                1   \n",
       "28                      1               0         17.60                1   \n",
       "29                      1               1          6.95                1   \n",
       "...                   ...             ...           ...              ...   \n",
       "638734                  1               1         14.15                2   \n",
       "638735                  0               0         19.80                1   \n",
       "638736                  0               1          6.80                2   \n",
       "638737                  0               0          8.00                1   \n",
       "638738                  0               1          7.30                4   \n",
       "638739                  1               0          9.20                1   \n",
       "638740                  0               1         10.80                1   \n",
       "638741                  1               1         10.55                1   \n",
       "638742                  1               0         16.40                2   \n",
       "638743                  0               0          4.80                2   \n",
       "638744                  1               0         12.05                1   \n",
       "638745                  1               1         14.37                1   \n",
       "638746                  1               0          7.40                1   \n",
       "638747                  1               0         11.00                6   \n",
       "638748                  1               1         19.75                1   \n",
       "638749                  1               1          8.80                1   \n",
       "638750                  0               1          6.30                2   \n",
       "638751                  0               0          7.30                3   \n",
       "638752                  1               0         12.80                1   \n",
       "638753                  1               0         12.20                1   \n",
       "638754                  1               1         12.00                1   \n",
       "638755                  0               0          6.80                1   \n",
       "638756                  0               1          7.80                1   \n",
       "638757                  0               1         13.30                2   \n",
       "638758                  1               1         25.55                2   \n",
       "638759                  1               0          6.80                5   \n",
       "638760                  1               0          7.95                1   \n",
       "638761                  0               1          6.30                2   \n",
       "638762                  0               0         10.30                1   \n",
       "638763                  0               1         13.80                1   \n",
       "\n",
       "        Trip Distance (in miles)  Surcharge  Tip Amount  \n",
       "0                           1.68        0.0        0.00  \n",
       "1                           1.56        0.5        0.00  \n",
       "2                           4.00        0.5        0.00  \n",
       "3                           0.80        0.5        0.00  \n",
       "4                           1.58        0.5        1.90  \n",
       "5                           2.57        0.5        0.00  \n",
       "6                           2.50        0.5        0.00  \n",
       "7                           1.30        0.5        2.00  \n",
       "8                           0.00        0.5        0.00  \n",
       "9                           5.62        0.5        0.00  \n",
       "10                          0.31        0.5        0.00  \n",
       "11                          2.10        0.5        2.80  \n",
       "12                          2.50        0.5        0.00  \n",
       "13                          2.23        0.5        0.00  \n",
       "14                          0.90        0.5        0.00  \n",
       "15                          0.83        0.5        1.10  \n",
       "16                          0.85        0.5        0.00  \n",
       "17                          1.90        0.5        0.00  \n",
       "18                          1.30        0.5        1.00  \n",
       "19                          1.37        0.5        0.00  \n",
       "20                          3.47        0.5        0.00  \n",
       "21                          1.00        0.5        0.00  \n",
       "22                          1.40        0.5        0.00  \n",
       "23                          3.80        0.5        0.00  \n",
       "24                          0.92        0.5        0.00  \n",
       "25                          0.42        0.5        0.00  \n",
       "26                          2.22        0.5        0.00  \n",
       "27                          2.17        0.5        2.30  \n",
       "28                          2.94        0.5        2.80  \n",
       "29                          0.80        0.0        1.15  \n",
       "...                          ...        ...         ...  \n",
       "638734                      1.30        0.5        2.35  \n",
       "638735                      5.74        0.5        0.00  \n",
       "638736                      1.20        0.5        0.00  \n",
       "638737                      1.73        0.5        0.00  \n",
       "638738                      1.00        0.5        0.00  \n",
       "638739                      1.23        0.5        1.40  \n",
       "638740                      2.50        0.5        0.00  \n",
       "638741                      0.90        0.5        1.75  \n",
       "638742                      3.25        0.5        2.60  \n",
       "638743                      0.46        0.5        0.00  \n",
       "638744                      1.14        0.5        2.25  \n",
       "638745                      2.30        0.5        2.87  \n",
       "638746                      0.83        0.5        1.10  \n",
       "638747                      1.74        0.5        1.70  \n",
       "638748                      3.60        0.5        3.95  \n",
       "638749                      1.00        0.5        2.00  \n",
       "638750                      0.40        0.5        0.00  \n",
       "638751                      0.98        0.5        0.00  \n",
       "638752                      2.26        0.5        2.00  \n",
       "638753                      1.85        0.5        1.90  \n",
       "638754                      1.20        0.5        2.20  \n",
       "638755                      1.01        0.5        0.00  \n",
       "638756                      1.00        0.5        0.00  \n",
       "638757                      3.10        0.5        0.00  \n",
       "638758                      5.30        0.5        4.25  \n",
       "638759                      0.77        0.5        1.00  \n",
       "638760                      0.62        0.5        1.65  \n",
       "638761                      0.80        0.5        0.00  \n",
       "638762                      2.19        0.5        0.00  \n",
       "638763                      3.50        0.5        0.00  \n",
       "\n",
       "[638764 rows x 7 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dt_dummy = pd.DataFrame({'Vendor ID Dummy':a, 'Payment Type Dummy':b })\n",
    "                        #'Fare Amount Dummy': c, 'Tip Amount Dummy' : d, 'Total Amount Dummy' : e, \n",
    "                        #'Passenger Count Dummy': f, 'Trip Distance Dummy': g, 'Surcharge Dummy': h})\n",
    "tip_data = data_without_outliers[ ['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Tip Amount']]\n",
    "\n",
    "        \n",
    "frames = [dt_dummy, tip_data]\n",
    "\n",
    "data_dummy = pd.concat(frames, axis=1)\n",
    "data_dummy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA on all good data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "Eigenvectors corr \n",
      "[[-0.39971266 -0.65171467  0.09546556  0.58544299  0.2516716   0.01691399\n",
      "  -0.00399244]\n",
      " [-0.00632672 -0.02172259 -0.00592127  0.25337221 -0.66030755 -0.06409891\n",
      "  -0.70366244]\n",
      " [-0.56360742  0.08630371  0.73074074 -0.34731664 -0.14176405  0.0134703\n",
      "   0.00299602]\n",
      " [ 0.00242584 -0.00584686 -0.00561548 -0.28619138  0.64480042  0.0080861\n",
      "  -0.7086536 ]\n",
      " [-0.48353152 -0.30602321 -0.61075064 -0.48812526 -0.20241573  0.14100136\n",
      "   0.02027169]\n",
      " [-0.09512482 -0.03676637 -0.08156078 -0.07453472  0.02506467 -0.98740944\n",
      "   0.04226441]\n",
      " [-0.52884694  0.68724933 -0.27779344  0.38301826  0.15228379  0.0223524\n",
      "  -0.02114479]]\n",
      "Eigenvalues corr \n",
      "[ 2.46887804  0.17304421  0.05614918  1.32461779  1.21943749  0.99239232\n",
      "  0.76548098]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "data_std = StandardScaler().fit_transform(data_dummy)\n",
    "\n",
    "\n",
    "#Covariance Matrix for X(features)\n",
    "mean_vec = np.mean(data_std, axis=0)\n",
    "cov_mat = (data_std - mean_vec).T.dot((data_std - mean_vec)) / (data_std.shape[0]-1)\n",
    "#print('Covariance matrix \\n%s' %cov_mat)\n",
    "\n",
    "\n",
    "#eigendecomposition on the covariance matrix\n",
    "\n",
    "#cov_mat = np.cov(data_std.T)\n",
    "#eig_vals, eig_vecs = np.linalg.eig(cov_mat)\n",
    "\n",
    "#print('Eigenvectors cov \\n%s' %eig_vecs)\n",
    "#print('Eigenvalues cov \\n%s' %eig_vals)\n",
    "\n",
    "# correlation matrix with eigendecomposition \n",
    "\n",
    "cor_mat1 = np.corrcoef(data_std.T)\n",
    "\n",
    "eig_vals, eig_vecs = np.linalg.eig(cor_mat1)\n",
    "\n",
    "print('\\n\\nEigenvectors corr \\n%s' %eig_vecs)\n",
    "print('Eigenvalues corr \\n%s' %eig_vals)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eigenvalues in descending order:\n",
      "2.46887803889\n",
      "1.32461779179\n",
      "1.21943748657\n",
      "0.992392319433\n",
      "0.765480976289\n",
      "0.17304420602\n",
      "0.0561491810014\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# Make a list of (eigenvalue, eigenvector) tuples\n",
    "eig_pairs = [(np.abs(eig_vals[i]), eig_vecs[:,i]) for i in range(len(eig_vals))]\n",
    "\n",
    "# Sort the (eigenvalue, eigenvector) tuples from high to low\n",
    "eig_pairs.sort()\n",
    "eig_pairs.reverse()\n",
    "\n",
    "# Visually confirm that the list is correctly sorted by decreasing eigenvalues\n",
    "print('Eigenvalues in descending order:')\n",
    "for i in eig_pairs:\n",
    "    print(i[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "initial shape:  (638764, 7)\n",
      "transformed shape:  (638764, 7)\n",
      "explaned variance:  [ 0.35269686  0.18923111  0.17420536  0.14177033  0.10935443  0.0247206\n",
      "  0.00802131]\n",
      "compenents:  [[ 0.39971266  0.00632672  0.56360742 -0.00242584  0.48353152  0.09512482\n",
      "   0.52884694]\n",
      " [-0.58544299 -0.25337221  0.34731664  0.28619138  0.48812526  0.07453472\n",
      "  -0.38301826]\n",
      " [ 0.2516716  -0.66030755 -0.14176405  0.64480042 -0.20241573  0.02506467\n",
      "   0.15228379]\n",
      " [-0.01691399  0.06409891 -0.0134703  -0.0080861  -0.14100136  0.98740944\n",
      "  -0.0223524 ]\n",
      " [ 0.00399244  0.70366244 -0.00299602  0.7086536  -0.02027169 -0.04226441\n",
      "   0.02114479]\n",
      " [-0.65171467 -0.02172259  0.08630371 -0.00584686 -0.30602321 -0.03676637\n",
      "   0.68724933]\n",
      " [ 0.09546556 -0.00592127  0.73074074 -0.00561548 -0.61075064 -0.08156078\n",
      "  -0.27779344]]\n"
     ]
    }
   ],
   "source": [
    "pca=PCA()\n",
    "pca.fit(data_std)\n",
    "\n",
    "T = pca.transform(data_std)\n",
    "\n",
    "data_std.shape\n",
    "print(\"initial shape: \", data_std.shape)\n",
    "\n",
    "T.shape\n",
    "print(\"transformed shape: \", T.shape)\n",
    "\n",
    "\n",
    "print(\"explaned variance: \", pca.explained_variance_ratio_)\n",
    "print(\"compenents: \", pca.components_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Payment Type Dummy</th>\n",
       "      <th>Vendor ID Dummy</th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Tip Amount</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.399713</td>\n",
       "      <td>0.006327</td>\n",
       "      <td>0.563607</td>\n",
       "      <td>-0.002426</td>\n",
       "      <td>0.483532</td>\n",
       "      <td>0.095125</td>\n",
       "      <td>0.528847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.585443</td>\n",
       "      <td>-0.253372</td>\n",
       "      <td>0.347317</td>\n",
       "      <td>0.286191</td>\n",
       "      <td>0.488125</td>\n",
       "      <td>0.074535</td>\n",
       "      <td>-0.383018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.251672</td>\n",
       "      <td>-0.660308</td>\n",
       "      <td>-0.141764</td>\n",
       "      <td>0.644800</td>\n",
       "      <td>-0.202416</td>\n",
       "      <td>0.025065</td>\n",
       "      <td>0.152284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.016914</td>\n",
       "      <td>0.064099</td>\n",
       "      <td>-0.013470</td>\n",
       "      <td>-0.008086</td>\n",
       "      <td>-0.141001</td>\n",
       "      <td>0.987409</td>\n",
       "      <td>-0.022352</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.003992</td>\n",
       "      <td>0.703662</td>\n",
       "      <td>-0.002996</td>\n",
       "      <td>0.708654</td>\n",
       "      <td>-0.020272</td>\n",
       "      <td>-0.042264</td>\n",
       "      <td>0.021145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.651715</td>\n",
       "      <td>-0.021723</td>\n",
       "      <td>0.086304</td>\n",
       "      <td>-0.005847</td>\n",
       "      <td>-0.306023</td>\n",
       "      <td>-0.036766</td>\n",
       "      <td>0.687249</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.095466</td>\n",
       "      <td>-0.005921</td>\n",
       "      <td>0.730741</td>\n",
       "      <td>-0.005615</td>\n",
       "      <td>-0.610751</td>\n",
       "      <td>-0.081561</td>\n",
       "      <td>-0.277793</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Payment Type Dummy  Vendor ID Dummy  Total Amount  Passenger Count  \\\n",
       "0            0.399713         0.006327      0.563607        -0.002426   \n",
       "1           -0.585443        -0.253372      0.347317         0.286191   \n",
       "2            0.251672        -0.660308     -0.141764         0.644800   \n",
       "3           -0.016914         0.064099     -0.013470        -0.008086   \n",
       "4            0.003992         0.703662     -0.002996         0.708654   \n",
       "5           -0.651715        -0.021723      0.086304        -0.005847   \n",
       "6            0.095466        -0.005921      0.730741        -0.005615   \n",
       "\n",
       "   Trip Distance  Surcharge  Tip Amount  \n",
       "0       0.483532   0.095125    0.528847  \n",
       "1       0.488125   0.074535   -0.383018  \n",
       "2      -0.202416   0.025065    0.152284  \n",
       "3      -0.141001   0.987409   -0.022352  \n",
       "4      -0.020272  -0.042264    0.021145  \n",
       "5      -0.306023  -0.036766    0.687249  \n",
       "6      -0.610751  -0.081561   -0.277793  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "components = pd.DataFrame(pca.components_, columns = ['Payment Type Dummy', 'Vendor ID Dummy', 'Total Amount', 'Passenger Count','Trip Distance',\n",
    "                                                      'Surcharge','Tip Amount' ])\n",
    "\n",
    "components\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1JCFEJTNVIHbs2MG0adNIT0/nq6++AiA3N5dVq1Y5NZywjvpwHWrjf9F634I2\nINIxUKMQouYwdYjp7bffJioqiubNm7Njxw4AmjVrxrFjx5yZTVjE+HQD6v3VaD3C0IaMkuIgRA1l\nqgeRkZFBs2bNSrymaZp8cFRDxpZPUOtfh+BQtGHj0GTWQCFqLFM9iBYtWrBlyxZuuOEGx2vbtm2j\nZcuWpne0f/9+YmNjMQyD8PBw+vfvf8Ey27dvZ/369WiaRrNmzXjsscdMb1+Un7HzC9SbS+AfIegP\nPoHm5mZ1JCGEhUwViAceeIBZs2axadMm8vLyiI6OJjExkaioKFM7MQyD5cuXExUVhd1uZ/LkyYSE\nhNC0aVPHMklJSWzYsIGZM2fi4+NDRkZG2VokykTt3Y6KnQ+tO6A//DSau4fVkYQQFjNVIJo0acK8\nefPYs2cPwcHB2O12goOD8fb2NrWT+Ph4/P398fPzAyA0NJRdu3aVKBCff/45ffv2xcfHB4D69etf\nbltEGakDezBefRmuao0+NgrN08vqSEIIF2CqQAB4eXkRGlq24RXS09Ox2+2O53a7nSNHjpRYJjEx\nEYApU6ZgGAYDBw6kU6dOF2wrLi6OuLg4AGbPno2vr2+ZMrm7u5d5XVdTnrbkH9jH6SUv4H7lVTSc\nMR/d4nmkq8vPpbq0A6Qtrqoy2mK6QDibYRgkJSU5LqedNm0aL7/8MnXq1CmxXEREBBEREY7nqamp\nZdqfr69vmdd1NWVtizp6CGPuVLD7YTw6lfScPMjJc0JC86rLz6W6tAOkLa6qPG0JCAgwtVylXKJi\ns9lIS0tzPE9LS8Nms12wTEhICO7u7jRu3JgrrriCpKSkyohXI6nffsGYPx3q1Uef8BxaXTmkJ4Qo\nqVIKRFBQEElJSSQnJ1NYWMj27dsJCSk5VHS3bt344YcfAMjMzCQpKclxzkJULJX0G8Z/poJ3LfQJ\nM9Ea2C+9khCixjF9iKmwsJAjR45w+vRpQkNDyc3NBTB1otrNzY3hw4cTHR2NYRiEhYURGBjIunXr\nCAoKIiQkhI4dO/Ltt98yfvx4dF3nvvvuo25da4+HV0cq5WTxVKGahj5+JpqvFGEhROlMFYhff/2V\nF198EQ8PD9LS0ggNDeXgwYNs3ryZ8ePHm9pRly5d6NKlS4nXBg8e7HisaRrDhg1j2LBhlxFfXA6V\nnooxJwoKCtAnRqP5N7E6khDChZk6xPTaa68xePBg5s2b5xjVtV27dvz0009ODScqjso8XdxzOJuF\n/vh0tKbNrY4khHBxpgpEQkIC119/fYnXvL29yc/Pd0ooUbHU2SyM/0yD0yno46ahNW9ldSQhRBVg\nqkA0atSIo0ePlnjt3M1vwrUohFsTAAAaa0lEQVSpnGyM+TPgZAL6mGfRWskcHkIIc0ydgxg8eDCz\nZ8+mT58+FBYW8t577/HZZ58xatQoZ+cT5aDy8jAWzYTj8eiPTEZr19nqSEKIKsRUDyI4OJhnnnmG\nzMxM2rVrR0pKChMnTqRjx47OzifKSBUUYCx5Ho4cRBsxAa1Td6sjCSGqGFM9iMzMTK666ioefPBB\nZ+cRFUAVFmK8+hL8sA9t2KPo3XpZHUkIUQWZKhCjR4+mffv29OzZk65du5oepE9UPmUUFY/Kun8n\n2j0j0Xv2sTqSEKKKMnWIafHixXTp0oVPP/2UkSNHMm/ePHbv3k1RUZGz84nLoJRCvbkE9c1mtLuG\nooffanUkIUQVZqoHUa9ePfr27Uvfvn1JSUlh27ZtrF27liVLlrB8+XJnZxQmKKVQ65ahvvoUrd8g\n9FsGWB1JCFHFXfZYTBkZGZw5c4asrKwLRloV1lHvv4X6/H9o4beh9b/X6jhCiGrAVA8iISGBrVu3\nsm3bNvLz8+nRowdPPvnkZU05Kpzn7LurUB++jXb9TWiDH5S5woUQFcJUgZgyZQrdu3dn5MiRtG/f\nHl0msncZxhcf8vvqV9C69UK77xEpDkKICmOqQLz22muOMZiE61B7d6DWvIpn154UPvA4mu5mdSQh\nRDVy0U/9LVu20KtXL8fji7nxxhsrPpW4JPXzTxjL5sBVrWnwxHOkZf1udSQhRDVz0QKxbds2R4H4\n6quvLroBKRCVT51KLB5Co6EdfWwUmpc3SIEQQlSwixaIyZMnOx5PmzatUsKIS1OZZ4qnCkVDf2ya\nTBUqhHAaU2ebn3rqqVJfnzRpUoWGEX+vePC9WXAmvbjn0NjcxONCCFEWpgrEyZMnL3hNKcWpU6cq\nPJAonTKKMJa9DMeOoD/4BFpQG6sjCSGqub+9NGnRokVA8XzU5x6fk5KSQmBgoPOSCQelFGrtMtj/\nNdo9I9G69LA6khCiBvjbAuHn51fqY03TuPrqq+nRQz6oKoP6bAPqiw/R+twh4ysJISrN3xaIgQMH\nAtCqVSs6depUKYFEScauraj1sWjB16ENeMDqOEKIGsTU3W+dOnWisLCQxMREMjMzS7zXoUMHUzva\nv38/sbGxGIZBeHg4/fv3L/H+l19+yRtvvIHNZgPg5ptvJjw83NS2qyt1+AfU63OhZTu0EePR5A52\nIUQlMlUgfvrpJ+bOnUtBQQE5OTnUqlWL3Nxc7Hb7BecmSmMYBsuXLycqKgq73c7kyZMJCQmhadOm\nJZYLDQ1lxIgRZWtJNaOSfsOIiQZfP/Sxz6J5eFodSQhRw5j6k3TlypXcfvvtxMbGUqtWLWJjY7n7\n7ru56aabTO0kPj4ef39//Pz8cHd3JzQ0lF27dpUreHWmMk5jzJ8Bbm7o46ah1alrdSQhRA1kqkAk\nJibSr1+/Eq/179+fDz/80NRO0tPTsdvtjud2u5309PQLlvv666+ZOHEic+bMITU11dS2qxuVm4Ox\ncCZkZaCPm4rWyN/qSEKIGsrUIabatWuTk5NDnTp1aNCgAQkJCfj4+JCbm1thQYKDg7nuuuvw8PDg\ns88+IyYmptQ7uOPi4oiLiwNg9uzZ+Pr6lml/7u7uZV7XWVRRIWdeeIH8347SYNKLeIWYu0rMFdtS\nVtWlLdWlHSBtcVWV0RZTBaJ79+7s27ePnj17EhYWxowZM3Bzc+Paa681tRObzUZaWprjeVpamuNk\n9Dl16/55GCU8PJw333yz1G1FREQQERHheF7Wnoavr69L9VKKpwtdjNqzA+3eR8i66mqyTOZztbaU\nR3VpS3VpB0hbXFV52hIQYG4UBlMFIjIy0vH49ttvp1WrVuTm5tKxY0dTOwkKCiIpKYnk5GRsNhvb\nt29n3LhxJZY5ffo0DRs2BGD37t0XnMCu7tTH76C2bES75W703rdYHUcIIcwViL9q27btZS3v5ubG\n8OHDiY6OxjAMwsLCCAwMZN26dQQFBRESEsLHH3/M7t27cXNzw8fHh9GjR5clWpVk7PwS9d4baN1u\nQOt/v9VxhBACAE0ppUp7Y+rUqaZmJ5sxY0aFh7ociYmJZVrPVbqa6sdvi69YatkW/bHpaB4el70N\nV2lLRagubaku7QBpi6uy9BCTzPPgfOrEcYwlL0DjK9BHTy5TcRBCCGe5aIHo3bt3JcaoedTptOKe\ng6d3cc+hto/VkYQQogRT5yA2bdp00fekp3H5VE42xoLnIPss+lPPo9kbWR1JCCEuYKpA/HXK0TNn\nznDy5EnatGkjBeIyqcJCjKWzIfE4+qNT0a4MsjqSEEKUylSBKO2GtU2bNnHixIkKD1SdFd/rEAMH\n96MNexStQxerIwkhxEWVeXjQ3r17/+2hJ3Eh9b+1qG2fo916D3rPPlbHEUKIv2WqB2EYRonn+fn5\nbNmyhTp16jglVHVkbItD/W8NWo8b0W4fYnUcIYS4JFMFYsiQCz/QbDYbo0aNqvBA1ZH6YR/qjRho\n2xFt6BhT95cIIYTVTBWIv8754OXlRb169ZwSqLpRvx7FWDIbrghEf2Qymrvc6yCEqBpMFYhGjeQy\nzLJQ6SkYC5+D2nWK53WoVdvqSEIIYZqpApGamsr69es5duzYBUN8z58/3ynBqjqV/XvxjXB5uehP\nzUZraL/0SkII4UJMFYi5c+cSEBDAoEGD8PSUqS8vRRUUYCx+AU4loj82Da1pc6sjCSHEZTNVIE6c\nOMGsWbPQ9TJfFVtjKKVQKxfAoe/Rho9Ha2tuSHQhhHA1pj7xg4ODOXjwoLOzVAtqw5uorzej9b8P\nvUeY1XGEEKLMTPUghg8fTlRUFH5+ftSvX7/EezVp3oZLMbZ8gvpoPdr1N6H1G2h1HCGEKBdTBWLx\n4sXouk6TJk3kHMRFqO93o95cCh2C0e59RO51EEJUeaYKxIEDB3jllVeoVauWs/NUSep4PMYr/4bA\nq9BHPYXm5mZ1JCGEKDdT5yCaNWtGVlaWs7NUSSrlZPHQ3T710MdNRfOWIiqEqB5M9SDat29PdHQ0\nvXv3vuAcRE0e7ludzcJYMAMKC9AnRqPVb2h1JCGEqDCmCsShQ4ew2Wx89913F7xXUwuEKsjHWBQN\nqafQxz+HdkWg1ZGEEKJClXk+iJpMGQbq9XkQfxDtoYlorTtYHUkIISpcmYb7Pl9NvHlOvbsStXsr\n2t3D0Lv1sjqOEEI4RZmH+z5n3bp1pna0f/9+YmNjMQyD8PBw+vfvX+pyO3fuZO7cubzwwgsEBbne\ndJzGpv9DffoeWu9+aH3vsjqOEEI4TZmG+z59+jQbNmwgJCTE1E4Mw2D58uVERUVht9uZPHkyISEh\nNG3atMRyOTk5fPzxx7Rq1cpk/Mql9u9ErX0NOnZDG/KQ3OsghKjWTB0fatSoUYl/rVu3ZuzYsbz/\n/vumdhIfH4+/vz9+fn64u7sTGhrKrl27Llhu3bp13HHHHXh4uN6cCeroIYzXXobmrdAfehJNl3sd\nhBDVm6keRGmys7PJzMw0tWx6ejp2+5/DXdvtdo4cOVJimaNHj5KamkqXLl344IMPLrqtuLg44uLi\nAJg9eza+vr5lSA/u7u6m1y1MSiA9Jhq3hr7Yps5Fb2Ar0z6d5XLa4uqqS1uqSztA2uKqKqMtpgrE\nwoULSxxOycvL48cff+T666+vkBCGYbBq1SpT4zpFREQQERHheJ6amlqmffr6+ppaV2VlYMx+Cowi\n1NgppBcaUMZ9OovZtlQF1aUt1aUdIG1xVeVpS0BAgKnlTBUIf3//Es+9vLzo06cP11xzjamd2Gw2\n0tLSHM/T0tKw2f78Kzw3N5fffvuNGTNmAHDmzBn+/e9/89RTT1l6olrl52EsmgXpqehPzELzb2JZ\nFiGEqGymCsTAgeUbmTQoKIikpCSSk5Ox2Wxs376dcePGOd6vXbs2y5cvdzyfPn06999/v7XFwSjC\nWDYHfjmMPupptJZtLcsihBBWMHWS+vXXX+fQoUMlXjt06BArVqwwtRM3NzeGDx9OdHQ048ePp0eP\nHgQGBrJu3Tp279592aGdTSmFevt12LcTbdBwtOBQqyMJIUSlM9WD2LZtG0OHDi3xWosWLXjppZeI\njIw0taMuXbrQpUuXEq8NHjy41GWnT59uapvOouI+QH3+P7SI29Ej7rA0ixBCWMVUD0LTtAvupjYM\nA6WUU0JZSe3Zhlr/OnQJRRs43Oo4QghhGVMFok2bNqxdu9ZRJAzDYP369bRp08ap4SqbOnIQY9lc\naHE1+ojxaDVwGBEhhDjH1CGmBx54gNmzZzNq1CjHpVUNGzbk6aefdna+SqNOJmDERIOtEfqYKDRP\nL6sjCSGEpUwVCLvdzosvvkh8fDxpaWnY7XZatmxZbQbqU5mnMebPAF1Hf2waWt16VkcSQgjLmb6T\nWtd1Wrdu7cwsllB5uRgLZkLmafSJz6M1vsLqSEII4RKqRxegjFRREcarL8GvR4vHV7qq+hVAIYQo\nqxpbIJRSqDWvwHe70IaMROvU3epIQgjhUmpsgch+703U5k/Q+t6FHtbP6jhCCOFyamSBML7ezO9v\nLEHrej3aXUMvvYIQQtRANbJAaA3seHW7Hu2Bx+VeByGEuIgyzwdRlWlXd6DBdb2rzbC/QgjhDPLn\nsxBCiFJJgRBCCFEqKRBCCCFKJQVCCCFEqaRACCGEKJUUCCGEEKWSAiGEEKJUUiCEEEKUSlPVcd5Q\nIYQQ5VZjexCTJk2yOkKFkba4nurSDpC2uKrKaEuNLRBCCCH+nhQIIYQQpXKbPn36dKtDWKVFixZW\nR6gw0hbXU13aAdIWV+XstshJaiGEEKWSQ0xCCCFKVSPng9i/fz+xsbEYhkF4eDj9+/e3OlKZLF68\nmL1791K/fn3mzJljdZwyS01NJSYmhjNnzqBpGhEREfTrVzWngc3Pz2fatGkUFhZSVFTEtddey6BB\ng6yOVS6GYTBp0iRsNluVvgpozJgxeHt7o+s6bm5uzJ492+pIZXL27FmWLl3Kb7/9hqZpPPLII7Ru\n3dop+6pxBcIwDJYvX05UVBR2u53JkycTEhJC06ZNrY522Xr37s3NN99MTEyM1VHKxc3Njfvvv58W\nLVqQk5PDpEmTuOaaa6rkz8TDw4Np06bh7e1NYWEhU6dOpVOnTk77Ba4MH330EU2aNCEnJ8fqKOU2\nbdo06tWrZ3WMcomNjaVTp0488cQTFBYWkpeX57R91bhDTPHx8fj7++Pn54e7uzuhoaHs2rXL6lhl\n0q5dO3x8fKyOUW4NGzZ0nGyrVasWTZo0IT093eJUZaNpGt7e3gAUFRVRVFSEpmkWpyq7tLQ09u7d\nS3h4uNVRBJCdnc2PP/7IjTfeCIC7uzt16tRx2v5qXA8iPT0du93ueG632zly5IiFicT5kpOT+eWX\nX2jZsqXVUcrMMAyefvppTp48Sd++fWnVqpXVkcpsxYoV3HfffdWi9wAQHR0NQJ8+fYiIiLA4zeVL\nTk6mXr16LF68mOPHj9OiRQsiIyMdf5RUtBrXgxCuKzc3lzlz5hAZGUnt2rWtjlNmuq7z0ksvsXTp\nUn7++Wd+/fVXqyOVyZ49e6hfv361uSx05syZvPjiizzzzDNs3LiRgwcPWh3pshUVFfHLL79w0003\n8e9//xsvLy82bNjgtP3VuAJhs9lIS0tzPE9LS8Nms1mYSAAUFhYyZ84crr/+erp37251nApRp04d\n2rdvz/79+62OUiaHDh1i9+7djBkzhnnz5nHgwAEWLFhgdawyO/d7Xr9+fbp27Up8fLzFiS6f3W7H\nbrc7eqXXXnstv/zyi9P2V+MKRFBQEElJSSQnJ1NYWMj27dsJCQmxOlaNppRi6dKlNGnShFtvvdXq\nOOWSmZnJ2bNngeIrmr777juaNGlicaqy+de//sXSpUuJiYnh8ccfp0OHDowbN87qWGWSm5vrOEyW\nm5vLd999x5VXXmlxqsvXoEED7HY7iYmJAHz//fdOvZijxp2DcHNzY/jw4URHR2MYBmFhYQQGBlod\nq0zmzZvHwYMHycrK4uGHH2bQoEGOk1dVyaFDh9iyZQtXXnklTz75JABDhgyhS5cuFie7fKdPnyYm\nJgbDMFBK0aNHD4KDg62OVeNlZGTw8ssvA8WHaXr27EmnTp0sTlU2w4cPZ8GCBRQWFtK4cWNGjx7t\ntH3JndRCCCFKVeMOMQkhhDBHCoQQQohSSYEQQghRKikQQgghSiUFQgghRKmkQIgqZcyYMXz33XeW\n7PvMmTNMmzaNoUOHsmrVKksyCFGZatx9EEKUVVxcHHXr1mXlypVVegA+Z4iJicFut3PPPfdYHUVU\nIOlBiBqpqKjostdJTU2ladOmUhxEjSE9CFFuY8aMoW/fvmzZsoWUlBQ6derEmDFj8PT05Msvv+Tz\nzz9n5syZjuUHDRrEggUL8Pf3JyYmBi8vL5KTk/nxxx9p3rw5TzzxBBs2bGDz5s3Ur1+fxx57jKuu\nusqx/s8//0xsbCxnzpyha9euPPjgg3h6egLFA8ytXbuWlJQUmjZtykMPPUSzZs0cOfv06cPWrVtJ\nTEzkjTfewM3NrURbDh06xIoVK0hMTCQgIIDIyEiuvvpqYmJi2Lp1KwAffvghTz75JNdcc02JdfPz\n81m7di07d+7k7NmzXHnllUyZMgVPT092797N6tWrSU9Pp3nz5jz44IOOIRLO//6dOnWK0NBQhgwZ\nwuLFi/npp59o1aoV48ePx8fHh+TkZMaOHcvIkSNZv349SiluvfVWbr/9dgAKCgp466232LFjBwA9\nevTg3nvvxcPDgx9++IGFCxfyz3/+k/fffx9d1xkyZAhhYWGOddesWcOOHTsoLCyka9euREZG4unp\n+bfrxsXFlfjetG/fnkmTJrFhwwY+/vhjcnJyaNiwIQ8++CD/+Mc/KuY/nagcSohyGj16tJo0aZJK\nS0tTWVlZ6vHHH1cbN25USin1xRdfqKioqBLLDxw4UCUlJSmllFq0aJEaPny4+vnnn1VeXp6aPn26\nGj16tPryyy9VUVGRWrNmjZo+fXqJfU2YMEGlpKSorKwsFRUVpdasWaOUUuro0aNqxIgR6vDhw6qo\nqEh98cUXavTo0So/P9+x7sSJE1VKSorKy8u7oB1ZWVkqMjJSbd68WRUWFqqvvvpKRUZGqszMTEfW\nc/sqzWuvvaamTZum0tLSVFFRkfrpp59Ufn6+OnHihLrvvvvUt99+qwoKCtSGDRvU2LFjVUFBgSPX\nM888o06fPq3S0tLUiBEj1FNPPaWOHj3q+J68/fbbSimlTp06pQYOHKj+85//qJycHHX8+HE1fPhw\n9e233yqllFq7dq165pln1JkzZ1RGRoZ69tlnHZkPHDigBg8erNauXasKCgrUnj171L333quysrKU\nUkrFxsaq2bNnq6ysLJWdna1eeOEF9dZbb5la96/fmxMnTqiHH35YpaWlOXKf+5mLqkMOMYkKccst\nt2Cz2fDx8SE4OJhjx46ZXrdr1660aNECT09PunXrhqenJzfccAO6rhMaGnrBaJV9+/bF19cXHx8f\n7rzzTrZt2wYUnyOIiIigVatW6LpO7969cXd3LzHfxy233IKvr6+jx3G+vXv34u/vT69evXBzc6Nn\nz54EBASwZ8+eS7bBMAy++OILIiMjsdls6LrO1VdfjYeHB9u3b6dz585cc801uLu7c9ttt5Gfn8+h\nQ4cc69988800aNAAm81GmzZtaNmyJVdddZXje/LX78HAgQPx9vbmyiuvJCwszPE92Lp1K3fffTf1\n69enXr16DBgwgK+++sqxnpubGwMGDMDd3Z0uXbrg7e1NYmIiSik+//xzhg0bho+PD7Vq1eKuu+5y\nbPfv1i2NrusUFBSQkJDgGDPI39//kt9H4VrkEJOoEA0aNHA89vT0vKwZ4f66bv369Us8z83NLbG8\nr6+v43GjRo0c+0pNTWXz5s188sknjvcLCwtLZDl/3b9KT0+nUaNGJV47f/t/Jysri4KCglI/BE+f\nPl1iu7qu4+vrW2K7f23zX5//dVrJ8ye98vX1dcw58dc2/DV/3bp1SxxW8/LyIjc3l8zMTPLy8krM\nOa2UwjCMS65bGn9/fyIjI1m/fj0JCQl07NiRoUOHytD6VYwUCOFUXl5e5OfnO56fOXOm3NtMTU0t\n8fjch47dbueuu+7irrvuKtN2bTYbX3/99QX7MjPqZ926dfHw8ODkyZM0b968xHsNGzYsMWmQUqpE\n7rJIS0tzDCOemppKw4YNHW1ISUlxjFBsdj9169bF09OTuXPnlilXaSfue/bsSc+ePcnOzubVV1/l\nrbfe4tFHH73sbQvryCEm4VTNmjXjt99+49ixY+Tn5/P222+Xe5sbN24kLS2N33//nf/+97/06NED\ngPDwcD777DOOHDmCUorc3Fz27t1rerrMzp07k5SUxNatWykqKmL79u0kJCSYGnZc13XCwsJYtWoV\n6enpGIbB4cOHKSgoIDQ0lH379vH9999TWFjI//73Pzw8PLj66qvL/D149913ycvL47fffuPLL78k\nNDQUgOuuu47//ve/ZGZmkpmZyTvvvMP1119vKn94eDgrVqwgIyMDKO6NmJ3sqH79+pw6dcrxPDEx\nkQMHDlBQUICnpyeenp5y9VcVJD0I4VQBAQEMGDCAmTNn4unpyZAhQ4iLiyvXNnv27MmsWbM4ffo0\nISEh3H333UDxZFCjRo3i9ddfJykpCU9PT9q0aUPbtm1Nbbdu3bpMmjSJ2NhYXnvtNfz9/Zk0aRL1\n6tUztf7QoUNZvXo1kydPJjc3l+bNm/Pss88SEBDAo48+yuuvv+64iunpp5/G3b3sv37t2rVj3Lhx\nGIbBbbfdRseOHQG46667yM7OZuLEiUDxjGNme1T33nsv77zzDs8++yxZWVnYbDb69Oljqgd14403\nMnfuXCIjI2nXrh2DBw/mrbfe4sSJE7i5uXH11VczcuTIMrdXWEPmgxCiCjl3meuaNWsuuERXiIom\nh5iEEEKUSgqEEEKIUskhJiGEEKWSHoQQQohSSYEQQghRKikQQgghSiUFQgghRKmkQAghhCiVFAgh\nhBCl+n8wyKHu9fqjKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x102326208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#Choosing number of components \n",
    "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
    "plt.xlabel('number of components')\n",
    "plt.ylabel('cumulative explained variance');\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Payment Type Dummy</th>\n",
       "      <th>Vendor ID Dummy</th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Tip Amount</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.399713</td>\n",
       "      <td>0.006327</td>\n",
       "      <td>0.563607</td>\n",
       "      <td>-0.002426</td>\n",
       "      <td>0.483532</td>\n",
       "      <td>0.095125</td>\n",
       "      <td>0.528847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.585443</td>\n",
       "      <td>-0.253372</td>\n",
       "      <td>0.347317</td>\n",
       "      <td>0.286191</td>\n",
       "      <td>0.488125</td>\n",
       "      <td>0.074535</td>\n",
       "      <td>-0.383018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.251672</td>\n",
       "      <td>-0.660308</td>\n",
       "      <td>-0.141764</td>\n",
       "      <td>0.644800</td>\n",
       "      <td>-0.202416</td>\n",
       "      <td>0.025065</td>\n",
       "      <td>0.152284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.016914</td>\n",
       "      <td>0.064099</td>\n",
       "      <td>-0.013470</td>\n",
       "      <td>-0.008086</td>\n",
       "      <td>-0.141001</td>\n",
       "      <td>0.987409</td>\n",
       "      <td>-0.022352</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.003992</td>\n",
       "      <td>0.703662</td>\n",
       "      <td>-0.002996</td>\n",
       "      <td>0.708654</td>\n",
       "      <td>-0.020272</td>\n",
       "      <td>-0.042264</td>\n",
       "      <td>0.021145</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Payment Type Dummy  Vendor ID Dummy  Total Amount  Passenger Count  \\\n",
       "0            0.399713         0.006327      0.563607        -0.002426   \n",
       "1           -0.585443        -0.253372      0.347317         0.286191   \n",
       "2            0.251672        -0.660308     -0.141764         0.644800   \n",
       "3           -0.016914         0.064099     -0.013470        -0.008086   \n",
       "4            0.003992         0.703662     -0.002996         0.708654   \n",
       "\n",
       "   Trip Distance  Surcharge  Tip Amount  \n",
       "0       0.483532   0.095125    0.528847  \n",
       "1       0.488125   0.074535   -0.383018  \n",
       "2      -0.202416   0.025065    0.152284  \n",
       "3      -0.141001   0.987409   -0.022352  \n",
       "4      -0.020272  -0.042264    0.021145  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca_data = components.iloc[:5]\n",
    "pca_data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiple Regression\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Tip Amount</th>\n",
       "      <th>Payment Type Dummy</th>\n",
       "      <th>Vendor ID Dummy</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>8.80</td>\n",
       "      <td>3</td>\n",
       "      <td>1.56</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>14.50</td>\n",
       "      <td>5</td>\n",
       "      <td>4.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>6.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>12.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.58</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>15.80</td>\n",
       "      <td>2</td>\n",
       "      <td>2.57</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>11.80</td>\n",
       "      <td>3</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>11.80</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>3.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>19.30</td>\n",
       "      <td>3</td>\n",
       "      <td>5.62</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>4.80</td>\n",
       "      <td>6</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>14.10</td>\n",
       "      <td>1</td>\n",
       "      <td>2.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12.30</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13.00</td>\n",
       "      <td>2</td>\n",
       "      <td>2.23</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>7.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>7.80</td>\n",
       "      <td>5</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>9.30</td>\n",
       "      <td>1</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>14.30</td>\n",
       "      <td>1</td>\n",
       "      <td>3.47</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>6.30</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.40</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>15.30</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>6.80</td>\n",
       "      <td>3</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>5.30</td>\n",
       "      <td>6</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>12.00</td>\n",
       "      <td>2</td>\n",
       "      <td>2.22</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>14.60</td>\n",
       "      <td>1</td>\n",
       "      <td>2.17</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>17.60</td>\n",
       "      <td>1</td>\n",
       "      <td>2.94</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.80</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>6.95</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.15</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638734</th>\n",
       "      <td>14.15</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.35</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638735</th>\n",
       "      <td>19.80</td>\n",
       "      <td>1</td>\n",
       "      <td>5.74</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638736</th>\n",
       "      <td>6.80</td>\n",
       "      <td>2</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638737</th>\n",
       "      <td>8.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1.73</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638738</th>\n",
       "      <td>7.30</td>\n",
       "      <td>4</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638739</th>\n",
       "      <td>9.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.23</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638740</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638741</th>\n",
       "      <td>10.55</td>\n",
       "      <td>1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.75</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638742</th>\n",
       "      <td>16.40</td>\n",
       "      <td>2</td>\n",
       "      <td>3.25</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.60</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638743</th>\n",
       "      <td>4.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.46</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638744</th>\n",
       "      <td>12.05</td>\n",
       "      <td>1</td>\n",
       "      <td>1.14</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.25</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638745</th>\n",
       "      <td>14.37</td>\n",
       "      <td>1</td>\n",
       "      <td>2.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.87</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638746</th>\n",
       "      <td>7.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.10</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638747</th>\n",
       "      <td>11.00</td>\n",
       "      <td>6</td>\n",
       "      <td>1.74</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.70</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638748</th>\n",
       "      <td>19.75</td>\n",
       "      <td>1</td>\n",
       "      <td>3.60</td>\n",
       "      <td>0.5</td>\n",
       "      <td>3.95</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638749</th>\n",
       "      <td>8.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638750</th>\n",
       "      <td>6.30</td>\n",
       "      <td>2</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638751</th>\n",
       "      <td>7.30</td>\n",
       "      <td>3</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638752</th>\n",
       "      <td>12.80</td>\n",
       "      <td>1</td>\n",
       "      <td>2.26</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638753</th>\n",
       "      <td>12.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638754</th>\n",
       "      <td>12.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.5</td>\n",
       "      <td>2.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638755</th>\n",
       "      <td>6.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.01</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638756</th>\n",
       "      <td>7.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638757</th>\n",
       "      <td>13.30</td>\n",
       "      <td>2</td>\n",
       "      <td>3.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638758</th>\n",
       "      <td>25.55</td>\n",
       "      <td>2</td>\n",
       "      <td>5.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>4.25</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638759</th>\n",
       "      <td>6.80</td>\n",
       "      <td>5</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638760</th>\n",
       "      <td>7.95</td>\n",
       "      <td>1</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.65</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638761</th>\n",
       "      <td>6.30</td>\n",
       "      <td>2</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638762</th>\n",
       "      <td>10.30</td>\n",
       "      <td>1</td>\n",
       "      <td>2.19</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638763</th>\n",
       "      <td>13.80</td>\n",
       "      <td>1</td>\n",
       "      <td>3.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>638764 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        Total Amount  Passenger Count  Trip Distance (in miles)  Surcharge  \\\n",
       "0              10.80                1                      1.68        0.0   \n",
       "1               8.80                3                      1.56        0.5   \n",
       "2              14.50                5                      4.00        0.5   \n",
       "3               6.30                1                      0.80        0.5   \n",
       "4              12.20                1                      1.58        0.5   \n",
       "5              15.80                2                      2.57        0.5   \n",
       "6              11.80                3                      2.50        0.5   \n",
       "7              11.80                2                      1.30        0.5   \n",
       "8               3.80                2                      0.00        0.5   \n",
       "9              19.30                3                      5.62        0.5   \n",
       "10              4.80                6                      0.31        0.5   \n",
       "11             14.10                1                      2.10        0.5   \n",
       "12             12.30                1                      2.50        0.5   \n",
       "13             13.00                2                      2.23        0.5   \n",
       "14              5.80                2                      0.90        0.5   \n",
       "15              7.40                1                      0.83        0.5   \n",
       "16              7.80                5                      0.85        0.5   \n",
       "17             10.80                1                      1.90        0.5   \n",
       "18              9.30                1                      1.30        0.5   \n",
       "19             10.80                1                      1.37        0.5   \n",
       "20             14.30                1                      3.47        0.5   \n",
       "21              6.30                1                      1.00        0.5   \n",
       "22             10.80                1                      1.40        0.5   \n",
       "23             15.30                1                      3.80        0.5   \n",
       "24              6.80                3                      0.92        0.5   \n",
       "25              5.30                6                      0.42        0.5   \n",
       "26             12.00                2                      2.22        0.5   \n",
       "27             14.60                1                      2.17        0.5   \n",
       "28             17.60                1                      2.94        0.5   \n",
       "29              6.95                1                      0.80        0.0   \n",
       "...              ...              ...                       ...        ...   \n",
       "638734         14.15                2                      1.30        0.5   \n",
       "638735         19.80                1                      5.74        0.5   \n",
       "638736          6.80                2                      1.20        0.5   \n",
       "638737          8.00                1                      1.73        0.5   \n",
       "638738          7.30                4                      1.00        0.5   \n",
       "638739          9.20                1                      1.23        0.5   \n",
       "638740         10.80                1                      2.50        0.5   \n",
       "638741         10.55                1                      0.90        0.5   \n",
       "638742         16.40                2                      3.25        0.5   \n",
       "638743          4.80                2                      0.46        0.5   \n",
       "638744         12.05                1                      1.14        0.5   \n",
       "638745         14.37                1                      2.30        0.5   \n",
       "638746          7.40                1                      0.83        0.5   \n",
       "638747         11.00                6                      1.74        0.5   \n",
       "638748         19.75                1                      3.60        0.5   \n",
       "638749          8.80                1                      1.00        0.5   \n",
       "638750          6.30                2                      0.40        0.5   \n",
       "638751          7.30                3                      0.98        0.5   \n",
       "638752         12.80                1                      2.26        0.5   \n",
       "638753         12.20                1                      1.85        0.5   \n",
       "638754         12.00                1                      1.20        0.5   \n",
       "638755          6.80                1                      1.01        0.5   \n",
       "638756          7.80                1                      1.00        0.5   \n",
       "638757         13.30                2                      3.10        0.5   \n",
       "638758         25.55                2                      5.30        0.5   \n",
       "638759          6.80                5                      0.77        0.5   \n",
       "638760          7.95                1                      0.62        0.5   \n",
       "638761          6.30                2                      0.80        0.5   \n",
       "638762         10.30                1                      2.19        0.5   \n",
       "638763         13.80                1                      3.50        0.5   \n",
       "\n",
       "        Tip Amount Payment Type Dummy Vendor ID Dummy  \n",
       "0             0.00                  0               0  \n",
       "1             0.00                  1               0  \n",
       "2             0.00                  0               1  \n",
       "3             0.00                  0               1  \n",
       "4             1.90                  1               0  \n",
       "5             0.00                  0               0  \n",
       "6             0.00                  0               1  \n",
       "7             2.00                  1               0  \n",
       "8             0.00                  1               1  \n",
       "9             0.00                  0               0  \n",
       "10            0.00                  0               0  \n",
       "11            2.80                  1               1  \n",
       "12            0.00                  0               1  \n",
       "13            0.00                  0               0  \n",
       "14            0.00                  0               1  \n",
       "15            1.10                  1               0  \n",
       "16            0.00                  0               0  \n",
       "17            0.00                  0               1  \n",
       "18            1.00                  1               1  \n",
       "19            0.00                  0               0  \n",
       "20            0.00                  0               0  \n",
       "21            0.00                  0               1  \n",
       "22            0.00                  0               1  \n",
       "23            0.00                  0               1  \n",
       "24            0.00                  0               0  \n",
       "25            0.00                  0               0  \n",
       "26            0.00                  0               0  \n",
       "27            2.30                  1               0  \n",
       "28            2.80                  1               0  \n",
       "29            1.15                  1               1  \n",
       "...            ...                ...             ...  \n",
       "638734        2.35                  1               1  \n",
       "638735        0.00                  0               0  \n",
       "638736        0.00                  0               1  \n",
       "638737        0.00                  0               0  \n",
       "638738        0.00                  0               1  \n",
       "638739        1.40                  1               0  \n",
       "638740        0.00                  0               1  \n",
       "638741        1.75                  1               1  \n",
       "638742        2.60                  1               0  \n",
       "638743        0.00                  0               0  \n",
       "638744        2.25                  1               0  \n",
       "638745        2.87                  1               1  \n",
       "638746        1.10                  1               0  \n",
       "638747        1.70                  1               0  \n",
       "638748        3.95                  1               1  \n",
       "638749        2.00                  1               1  \n",
       "638750        0.00                  0               1  \n",
       "638751        0.00                  0               0  \n",
       "638752        2.00                  1               0  \n",
       "638753        1.90                  1               0  \n",
       "638754        2.20                  1               1  \n",
       "638755        0.00                  0               0  \n",
       "638756        0.00                  0               1  \n",
       "638757        0.00                  0               1  \n",
       "638758        4.25                  1               1  \n",
       "638759        1.00                  1               0  \n",
       "638760        1.65                  1               0  \n",
       "638761        0.00                  0               1  \n",
       "638762        0.00                  0               0  \n",
       "638763        0.00                  0               1  \n",
       "\n",
       "[638764 rows x 7 columns]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Tip Analysis \n",
    "#Question: generous/not generous customer\n",
    "\n",
    "#variable to use ==> total amount, passenger count, trip distance, rate code, surcharge\n",
    "#Output ==> tip amount\n",
    "\n",
    "#data = data.iloc[:6000,]\n",
    "\n",
    "tip_data = data_dummy[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Tip Amount', \n",
    "                       'Payment Type Dummy','Vendor ID Dummy']]\n",
    "#tip_data\n",
    "tip_data.describe()\n",
    "#Creating train and test dataset (2/3 - 1/3)\n",
    "#msk = np.random.rand(len(tip_data)) < 0.66\n",
    "#tip_train = tip_data[msk]\n",
    "#tip_test = tip_data[~msk]\n",
    "#tip_train = tip_data.iloc[:2000,]\n",
    "#tip_test = tip_data.iloc[2001:, ]\n",
    "tip_data\n",
    "\n",
    "#2 categories to classify ==> Not Generous, Generous\n",
    "\n",
    "#tip_data.info()\n",
    "#tip_data.head()\n",
    "#tip_data.tail()\n",
    "#tip_test\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>       <td>Tip Amount</td>    <th>  R-squared:         </th>  <td>   0.596</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                   <td>OLS</td>       <th>  Adj. R-squared:    </th>  <td>   0.596</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th>  <td>2.351e+05</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>             <td>Wed, 02 May 2018</td> <th>  Prob (F-statistic):</th>   <td>  0.00</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                 <td>18:19:15</td>     <th>  Log-Likelihood:    </th> <td>-8.8473e+05</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>      <td>638764</td>      <th>  AIC:               </th>  <td>1.769e+06</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>          <td>638760</td>      <th>  BIC:               </th>  <td>1.770e+06</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>              <td>     4</td>      <th>                     </th>      <td> </td>     \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>      <td>nonrobust</td>    <th>                     </th>      <td> </td>     \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "              <td></td>                <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Total Amount</th>             <td>    0.2290</td> <td>    0.000</td> <td>  499.133</td> <td> 0.000</td> <td>    0.228</td> <td>    0.230</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Passenger Count</th>          <td>   -0.1242</td> <td>    0.001</td> <td> -151.977</td> <td> 0.000</td> <td>   -0.126</td> <td>   -0.123</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Trip Distance (in miles)</th> <td>   -0.5873</td> <td>    0.002</td> <td> -291.048</td> <td> 0.000</td> <td>   -0.591</td> <td>   -0.583</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Surcharge</th>                <td>   -0.4891</td> <td>    0.004</td> <td> -134.835</td> <td> 0.000</td> <td>   -0.496</td> <td>   -0.482</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>27229.188</td> <th>  Durbin-Watson:     </th> <td>   1.921</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th>  <td> 0.000</td>   <th>  Jarque-Bera (JB):  </th> <td>33101.240</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>           <td> 0.474</td>   <th>  Prob(JB):          </th> <td>    0.00</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>       <td> 3.587</td>   <th>  Cond. No.          </th> <td>    39.0</td> \n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:             Tip Amount   R-squared:                       0.596\n",
       "Model:                            OLS   Adj. R-squared:                  0.596\n",
       "Method:                 Least Squares   F-statistic:                 2.351e+05\n",
       "Date:                Wed, 02 May 2018   Prob (F-statistic):               0.00\n",
       "Time:                        18:19:15   Log-Likelihood:            -8.8473e+05\n",
       "No. Observations:              638764   AIC:                         1.769e+06\n",
       "Df Residuals:                  638760   BIC:                         1.770e+06\n",
       "Df Model:                           4                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "============================================================================================\n",
       "                               coef    std err          t      P>|t|      [0.025      0.975]\n",
       "--------------------------------------------------------------------------------------------\n",
       "Total Amount                 0.2290      0.000    499.133      0.000       0.228       0.230\n",
       "Passenger Count             -0.1242      0.001   -151.977      0.000      -0.126      -0.123\n",
       "Trip Distance (in miles)    -0.5873      0.002   -291.048      0.000      -0.591      -0.583\n",
       "Surcharge                   -0.4891      0.004   -134.835      0.000      -0.496      -0.482\n",
       "==============================================================================\n",
       "Omnibus:                    27229.188   Durbin-Watson:                   1.921\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):            33101.240\n",
       "Skew:                           0.474   Prob(JB):                         0.00\n",
       "Kurtosis:                       3.587   Cond. No.                         39.0\n",
       "==============================================================================\n",
       "\n",
       "Warnings:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "\"\"\""
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#https://towardsdatascience.com/simple-and-multiple-linear-regression-in-python-c928425168f9\n",
    "\n",
    "#***************************************************************************************************************\n",
    "#Multiple Regression \n",
    "#***************************************************************************************************************\n",
    "\n",
    "\n",
    "# WITH STATSMODELS\n",
    "\n",
    "target = pd.DataFrame(tip_data[['Tip Amount']])\n",
    "\n",
    "df = pd.DataFrame(tip_data[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge']])\n",
    "\n",
    "#Multiple Regression \n",
    "#Prediction of the tip the customer will give in function of the other variables we selected \n",
    "X = df[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge']]\n",
    "y = target[\"Tip Amount\"]\n",
    "\n",
    "model = sm.OLS(y, X).fit()\n",
    "predictions = model.predict(X) \n",
    "\n",
    "model.summary()\n",
    "\n",
    "#Analysis: R^2 = 0.535 means this model explain only 53,5% of the variance in our dependent variable\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/site-packages/scipy/linalg/basic.py:1018: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n",
      "  warnings.warn(mesg, RuntimeWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy:  0.771635739394\n",
      "prediction [ 0.23875691  1.33752539  0.00140288 ..., -0.34869313 -0.13223144\n",
      "  0.06951017]\n",
      "R^2 (percentage of variance):  0.77000375072\n",
      "coef:  [ 0.1856751  -0.00421554 -0.36243538 -0.18661753  1.52836629  0.0266691 ]\n",
      "intercept -1.15342722034\n"
     ]
    }
   ],
   "source": [
    "# WITH SCICKIT\n",
    "\n",
    "#target = tip_data[['Tip Amount']]\n",
    "\n",
    "#df =tip_data[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge']]\n",
    "\n",
    "#Multiple Regression \n",
    "#Prediction of the tip the customer will give in function of the other variables we selected \n",
    "#X = df[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge']]\n",
    "#y = target[\"Tip Amount\"]\n",
    "\n",
    "\n",
    "\n",
    "#X = tip_data[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge']]\n",
    "#y = tip_data[\"Tip Amount\"]\n",
    "\n",
    "X = data_dummy[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']]\n",
    "y = data_dummy[\"Tip Amount\"]\n",
    "\n",
    "\n",
    "X_train, X_test, y_train, y_test = cross_validation.train_test_split(X, y, test_size = 0.2)\n",
    "\n",
    "\n",
    "\n",
    "lm = linear_model.LinearRegression()\n",
    "lm.fit(X_train,y_train)\n",
    "predictions = lm.predict(X)\n",
    "\n",
    "accuracy = lm.score(X_test, y_test)\n",
    "\n",
    "\n",
    "print ('Accuracy: ', accuracy)\n",
    "print(\"prediction\", predictions)\n",
    "\n",
    "# percentage of explained variance of the predictions\n",
    "print(\"R^2 (percentage of variance): \" ,lm.score(X,y))\n",
    "\n",
    "#coefficients for the predictors\n",
    "print(\"coef: \", lm.coef_)\n",
    "\n",
    "# intercept for the predictors\n",
    "print(\"intercept\", lm.intercept_)\n",
    "\n",
    "#Acc was 0.35 with outliers and without dummy variables \n",
    "\n",
    "#Modify the mulple regression equation to improve the accuracy\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.46433762])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Test prediction of multiple regression\n",
    "#X = data_dummy[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']]\n",
    "\n",
    "\n",
    "test_prediction = np.array([20, 2, 3,  0, 0, 0])\n",
    "test_prediction = test_prediction.reshape(1, -1)\n",
    "\n",
    "lm.predict(test_prediction)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "prediction [ 0.52884694 -0.38301826  0.15228379 -0.0223524   0.02114479]\n",
      "R^2 (percentage of variance):  1.0\n",
      "coef:  [ 0.83098641  0.03804021  0.17454622 -0.16624818  0.0080231  -0.11474984]\n",
      "intercept 0.104707786057\n"
     ]
    }
   ],
   "source": [
    "#With pca_data\n",
    "\n",
    "\n",
    "\n",
    "X = pca_data[['Payment Type Dummy', 'Vendor ID Dummy', 'Total Amount', 'Passenger Count','Trip Distance', 'Surcharge']]\n",
    "y = pca_data[\"Tip Amount\"]\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "X_train, X_test, y_train, y_test = cross_validation.train_test_split(X, y, test_size = 0.2)\n",
    "\n",
    "\n",
    "lm = linear_model.LinearRegression()\n",
    "lm.fit(X,y)\n",
    "predictions = lm.predict(X)\n",
    "\n",
    "#accuracy = lm.score(X_test, y_test)\n",
    "\n",
    "\n",
    "#print ('Accuracy: ', accuracy)\n",
    "print(\"prediction\", predictions)\n",
    "\n",
    "# percentage of explained variance of the predictions\n",
    "print(\"R^2 (percentage of variance): \" ,lm.score(X,y))\n",
    "\n",
    "#coefficients for the predictors\n",
    "print(\"coef: \", lm.coef_)\n",
    "\n",
    "# intercept for the predictors\n",
    "print(\"intercept\", lm.intercept_)\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3.28720509])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "#'Payment Type Dummy', 'Vendor ID Dummy', 'Total Amount', 'Passenger Count','Trip Distance',\n",
    " #                                                     'Surcharge'\n",
    "\n",
    "\n",
    "test_prediction = np.array([0, 0, 20,  2, 3, 0])\n",
    "test_prediction = test_prediction.reshape(1, -1)\n",
    "\n",
    "lm.predict(test_prediction)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Classification ==> KNN Algo\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "#***************************************************************************************************************\n",
    "#Loop to create factors based on a column\n",
    "#***************************************************************************************************************\n",
    "\n",
    "#a = tip_data.as_matrix(columns = tip_data.columns[4:5])\n",
    "\n",
    "#tip_data[\"Generous ?\"] = \"\"\n",
    "\n",
    "#i=0\n",
    "#for i in range(0,6000) :\n",
    "    \n",
    "#    if a[i]== 0:\n",
    "#        tip_data.ix[[i],[\"Generous ?\"]] = \"Not Generous\"\n",
    "        \n",
    "#    else:\n",
    "#        tip_data.ix[[i],[\"Generous ?\"]] = \"Generous\"\n",
    "#tip_data\n",
    "\n",
    "#dt = tip_data[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Generous ?']]\n",
    "#dt\n",
    "\n",
    "#0 ==> NOT GENEROUS\n",
    "#1 ==> GENEROUS\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Total Amount</th>\n",
       "      <th>Passenger Count</th>\n",
       "      <th>Trip Distance (in miles)</th>\n",
       "      <th>Surcharge</th>\n",
       "      <th>Payment Type Dummy</th>\n",
       "      <th>Vendor ID Dummy</th>\n",
       "      <th>Generous ?</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>8.80</td>\n",
       "      <td>3</td>\n",
       "      <td>1.56</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>14.50</td>\n",
       "      <td>5</td>\n",
       "      <td>4.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>6.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>12.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.58</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>15.80</td>\n",
       "      <td>2</td>\n",
       "      <td>2.57</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>11.80</td>\n",
       "      <td>3</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>11.80</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>3.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>19.30</td>\n",
       "      <td>3</td>\n",
       "      <td>5.62</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>4.80</td>\n",
       "      <td>6</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>14.10</td>\n",
       "      <td>1</td>\n",
       "      <td>2.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12.30</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13.00</td>\n",
       "      <td>2</td>\n",
       "      <td>2.23</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>7.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>7.80</td>\n",
       "      <td>5</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>9.30</td>\n",
       "      <td>1</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.37</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>14.30</td>\n",
       "      <td>1</td>\n",
       "      <td>3.47</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>6.30</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.40</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>15.30</td>\n",
       "      <td>1</td>\n",
       "      <td>3.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>6.80</td>\n",
       "      <td>3</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>5.30</td>\n",
       "      <td>6</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>12.00</td>\n",
       "      <td>2</td>\n",
       "      <td>2.22</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>14.60</td>\n",
       "      <td>1</td>\n",
       "      <td>2.17</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>17.60</td>\n",
       "      <td>1</td>\n",
       "      <td>2.94</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>6.95</td>\n",
       "      <td>1</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638734</th>\n",
       "      <td>14.15</td>\n",
       "      <td>2</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638735</th>\n",
       "      <td>19.80</td>\n",
       "      <td>1</td>\n",
       "      <td>5.74</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638736</th>\n",
       "      <td>6.80</td>\n",
       "      <td>2</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638737</th>\n",
       "      <td>8.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1.73</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638738</th>\n",
       "      <td>7.30</td>\n",
       "      <td>4</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638739</th>\n",
       "      <td>9.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.23</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638740</th>\n",
       "      <td>10.80</td>\n",
       "      <td>1</td>\n",
       "      <td>2.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638741</th>\n",
       "      <td>10.55</td>\n",
       "      <td>1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638742</th>\n",
       "      <td>16.40</td>\n",
       "      <td>2</td>\n",
       "      <td>3.25</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638743</th>\n",
       "      <td>4.80</td>\n",
       "      <td>2</td>\n",
       "      <td>0.46</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638744</th>\n",
       "      <td>12.05</td>\n",
       "      <td>1</td>\n",
       "      <td>1.14</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638745</th>\n",
       "      <td>14.37</td>\n",
       "      <td>1</td>\n",
       "      <td>2.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638746</th>\n",
       "      <td>7.40</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638747</th>\n",
       "      <td>11.00</td>\n",
       "      <td>6</td>\n",
       "      <td>1.74</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638748</th>\n",
       "      <td>19.75</td>\n",
       "      <td>1</td>\n",
       "      <td>3.60</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638749</th>\n",
       "      <td>8.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638750</th>\n",
       "      <td>6.30</td>\n",
       "      <td>2</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638751</th>\n",
       "      <td>7.30</td>\n",
       "      <td>3</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638752</th>\n",
       "      <td>12.80</td>\n",
       "      <td>1</td>\n",
       "      <td>2.26</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638753</th>\n",
       "      <td>12.20</td>\n",
       "      <td>1</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638754</th>\n",
       "      <td>12.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638755</th>\n",
       "      <td>6.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.01</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638756</th>\n",
       "      <td>7.80</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638757</th>\n",
       "      <td>13.30</td>\n",
       "      <td>2</td>\n",
       "      <td>3.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638758</th>\n",
       "      <td>25.55</td>\n",
       "      <td>2</td>\n",
       "      <td>5.30</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638759</th>\n",
       "      <td>6.80</td>\n",
       "      <td>5</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638760</th>\n",
       "      <td>7.95</td>\n",
       "      <td>1</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638761</th>\n",
       "      <td>6.30</td>\n",
       "      <td>2</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638762</th>\n",
       "      <td>10.30</td>\n",
       "      <td>1</td>\n",
       "      <td>2.19</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>638763</th>\n",
       "      <td>13.80</td>\n",
       "      <td>1</td>\n",
       "      <td>3.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>638764 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        Total Amount  Passenger Count  Trip Distance (in miles)  Surcharge  \\\n",
       "0              10.80                1                      1.68        0.0   \n",
       "1               8.80                3                      1.56        0.5   \n",
       "2              14.50                5                      4.00        0.5   \n",
       "3               6.30                1                      0.80        0.5   \n",
       "4              12.20                1                      1.58        0.5   \n",
       "5              15.80                2                      2.57        0.5   \n",
       "6              11.80                3                      2.50        0.5   \n",
       "7              11.80                2                      1.30        0.5   \n",
       "8               3.80                2                      0.00        0.5   \n",
       "9              19.30                3                      5.62        0.5   \n",
       "10              4.80                6                      0.31        0.5   \n",
       "11             14.10                1                      2.10        0.5   \n",
       "12             12.30                1                      2.50        0.5   \n",
       "13             13.00                2                      2.23        0.5   \n",
       "14              5.80                2                      0.90        0.5   \n",
       "15              7.40                1                      0.83        0.5   \n",
       "16              7.80                5                      0.85        0.5   \n",
       "17             10.80                1                      1.90        0.5   \n",
       "18              9.30                1                      1.30        0.5   \n",
       "19             10.80                1                      1.37        0.5   \n",
       "20             14.30                1                      3.47        0.5   \n",
       "21              6.30                1                      1.00        0.5   \n",
       "22             10.80                1                      1.40        0.5   \n",
       "23             15.30                1                      3.80        0.5   \n",
       "24              6.80                3                      0.92        0.5   \n",
       "25              5.30                6                      0.42        0.5   \n",
       "26             12.00                2                      2.22        0.5   \n",
       "27             14.60                1                      2.17        0.5   \n",
       "28             17.60                1                      2.94        0.5   \n",
       "29              6.95                1                      0.80        0.0   \n",
       "...              ...              ...                       ...        ...   \n",
       "638734         14.15                2                      1.30        0.5   \n",
       "638735         19.80                1                      5.74        0.5   \n",
       "638736          6.80                2                      1.20        0.5   \n",
       "638737          8.00                1                      1.73        0.5   \n",
       "638738          7.30                4                      1.00        0.5   \n",
       "638739          9.20                1                      1.23        0.5   \n",
       "638740         10.80                1                      2.50        0.5   \n",
       "638741         10.55                1                      0.90        0.5   \n",
       "638742         16.40                2                      3.25        0.5   \n",
       "638743          4.80                2                      0.46        0.5   \n",
       "638744         12.05                1                      1.14        0.5   \n",
       "638745         14.37                1                      2.30        0.5   \n",
       "638746          7.40                1                      0.83        0.5   \n",
       "638747         11.00                6                      1.74        0.5   \n",
       "638748         19.75                1                      3.60        0.5   \n",
       "638749          8.80                1                      1.00        0.5   \n",
       "638750          6.30                2                      0.40        0.5   \n",
       "638751          7.30                3                      0.98        0.5   \n",
       "638752         12.80                1                      2.26        0.5   \n",
       "638753         12.20                1                      1.85        0.5   \n",
       "638754         12.00                1                      1.20        0.5   \n",
       "638755          6.80                1                      1.01        0.5   \n",
       "638756          7.80                1                      1.00        0.5   \n",
       "638757         13.30                2                      3.10        0.5   \n",
       "638758         25.55                2                      5.30        0.5   \n",
       "638759          6.80                5                      0.77        0.5   \n",
       "638760          7.95                1                      0.62        0.5   \n",
       "638761          6.30                2                      0.80        0.5   \n",
       "638762         10.30                1                      2.19        0.5   \n",
       "638763         13.80                1                      3.50        0.5   \n",
       "\n",
       "       Payment Type Dummy Vendor ID Dummy  Generous ?  \n",
       "0                       0               0         0.0  \n",
       "1                       1               0         0.0  \n",
       "2                       0               1         0.0  \n",
       "3                       0               1         0.0  \n",
       "4                       1               0         1.0  \n",
       "5                       0               0         0.0  \n",
       "6                       0               1         0.0  \n",
       "7                       1               0         1.0  \n",
       "8                       1               1         0.0  \n",
       "9                       0               0         0.0  \n",
       "10                      0               0         0.0  \n",
       "11                      1               1         1.0  \n",
       "12                      0               1         0.0  \n",
       "13                      0               0         0.0  \n",
       "14                      0               1         0.0  \n",
       "15                      1               0         1.0  \n",
       "16                      0               0         0.0  \n",
       "17                      0               1         0.0  \n",
       "18                      1               1         1.0  \n",
       "19                      0               0         0.0  \n",
       "20                      0               0         0.0  \n",
       "21                      0               1         0.0  \n",
       "22                      0               1         0.0  \n",
       "23                      0               1         0.0  \n",
       "24                      0               0         0.0  \n",
       "25                      0               0         0.0  \n",
       "26                      0               0         0.0  \n",
       "27                      1               0         1.0  \n",
       "28                      1               0         1.0  \n",
       "29                      1               1         1.0  \n",
       "...                   ...             ...         ...  \n",
       "638734                  1               1         1.0  \n",
       "638735                  0               0         0.0  \n",
       "638736                  0               1         0.0  \n",
       "638737                  0               0         0.0  \n",
       "638738                  0               1         0.0  \n",
       "638739                  1               0         1.0  \n",
       "638740                  0               1         0.0  \n",
       "638741                  1               1         1.0  \n",
       "638742                  1               0         1.0  \n",
       "638743                  0               0         0.0  \n",
       "638744                  1               0         1.0  \n",
       "638745                  1               1         1.0  \n",
       "638746                  1               0         1.0  \n",
       "638747                  1               0         1.0  \n",
       "638748                  1               1         1.0  \n",
       "638749                  1               1         1.0  \n",
       "638750                  0               1         0.0  \n",
       "638751                  0               0         0.0  \n",
       "638752                  1               0         1.0  \n",
       "638753                  1               0         1.0  \n",
       "638754                  1               1         1.0  \n",
       "638755                  0               0         0.0  \n",
       "638756                  0               1         0.0  \n",
       "638757                  0               1         0.0  \n",
       "638758                  1               1         1.0  \n",
       "638759                  1               0         1.0  \n",
       "638760                  1               0         1.0  \n",
       "638761                  0               1         0.0  \n",
       "638762                  0               0         0.0  \n",
       "638763                  0               1         0.0  \n",
       "\n",
       "[638764 rows x 7 columns]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#*******************************************\n",
    "#Dummy variable for Generous or not generous\n",
    "#*******************************************\n",
    "a = np.array(tip_data[\"Tip Amount\"])\n",
    "X = data_dummy[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']]\n",
    "#0 ==> not generous\n",
    "#1 ==> generous\n",
    "\n",
    "i=0\n",
    "for i in range(0,638764) :\n",
    "    if a[i] == 0: \n",
    "        a[i]= 0\n",
    "    else:\n",
    "        a[i] = 1\n",
    "\n",
    "a_dummy = pd.DataFrame({\"Generous ?\" : a})\n",
    "\n",
    "frames = [X, a_dummy]\n",
    "\n",
    "dt = pd.concat(frames, axis=1)\n",
    "dt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97822360335960801"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#***************************************************************************************************************\n",
    "#Classification ==> KNN Algo\n",
    "#***************************************************************************************************************\n",
    "\n",
    "X = np.array(dt[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']])\n",
    "y = np.array(dt['Generous ?'])\n",
    "\n",
    "X_train, X_test, y_train, y_test = cross_validation.train_test_split(X, y, test_size = 0.2)\n",
    "\n",
    "clf = neighbors.KNeighborsClassifier()\n",
    "clf.fit(X_train, y_train)\n",
    "\n",
    "\n",
    "accuracy = clf.score(X_test, y_test)\n",
    "accuracy\n",
    "\n",
    "#Before 0.75 without dummy variables and with outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0    338494\n",
      "1.0    300270\n",
      "Name: Generous ?, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "#count how many Generous and not generous \n",
    "#dt['Generous ?']\n",
    "\n",
    "print(dt['Generous ?'].value_counts())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Test prediction for KNN\n",
    "#Must use Dummy variables \n",
    "\n",
    "example = np.array([9, 1, 2, 0, 0, 0])\n",
    "example = example.reshape(1, -1)\n",
    "\n",
    "prediction = clf.predict(example)\n",
    "prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Several Classes Classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Scale of generosity\n",
    "#0 ==> very bad customer (0)\n",
    "#1 ==> not generous (< 2)\n",
    "#2 ==> OK (< 4)\n",
    "#3 ==> generous (< 8)\n",
    "#4 ==> very generous (< 10)\n",
    "#5 ==> Saint (> 10)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "#*******************************************\n",
    "#Dummy variable for Generous or not generous\n",
    "#*******************************************\n",
    "a = np.array(tip_data[\"Tip Amount\"])\n",
    "X = data_dummy[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)',  'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']]\n",
    "\n",
    "\n",
    "i=0\n",
    "for i in range(0,638764) :\n",
    "    if a[i] == 0: \n",
    "        a[i]= 0\n",
    "    elif a[i]<= 2:\n",
    "        a[i] = 1\n",
    "    elif a[i]<= 4:\n",
    "        a[i] = 2\n",
    "    elif a[i]<= 8:\n",
    "        a[i] = 3\n",
    "    elif a[i]<= 10:\n",
    "        a[i] = 4\n",
    "    else: \n",
    "        a[i] = 5\n",
    "\n",
    "a_dummy = pd.DataFrame({\"Generous ?\" : a})\n",
    "\n",
    "frames = [X, a_dummy]\n",
    "\n",
    "dt = pd.concat(frames, axis=1)\n",
    "#dt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KNN accuracy:  0.931884182759\n",
      "accuracy:  0.869615586327\n"
     ]
    }
   ],
   "source": [
    "#***************************************************************************************************************\n",
    "#Classification ==> KNN Algo\n",
    "#***************************************************************************************************************\n",
    "\n",
    "X = np.array(dt[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']])\n",
    "y = np.array(dt['Generous ?'])\n",
    "\n",
    "X_train, X_test, y_train, y_test = cross_validation.train_test_split(X, y, test_size = 0.2)\n",
    "\n",
    "clf = neighbors.KNeighborsClassifier()\n",
    "clf.fit(X_train, y_train)\n",
    "\n",
    "\n",
    "accuracy = clf.score(X_test, y_test)\n",
    "print(\"KNN accuracy: \", accuracy)\n",
    "\n",
    "\n",
    "\n",
    "#lm = linear_model.LinearRegression()\n",
    "#lm.fit(X_train,y_train)\n",
    "#predictions = lm.predict(X)\n",
    "\n",
    "#accuracy = lm.score(X_test, y_test)\n",
    "\n",
    "\n",
    "#print ('Multiple Regression Accuracy: ', accuracy)\n",
    "\n",
    "\n",
    "logisticRegr = LogisticRegression()\n",
    "logisticRegr.fit(X_train, y_train)\n",
    "predictions = logisticRegr.predict(X_test)\n",
    "accuracy = logisticRegr.score(X_test, y_test)\n",
    "print('LR accuracy: ', accuracy)\n",
    "#print(predictions)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy:  0.869615586327\n",
      "[ 0.  0.  1. ...,  0.  1.  0.]\n"
     ]
    }
   ],
   "source": [
    "logisticRegr = LogisticRegression()\n",
    "logisticRegr.fit(X_train, y_train)\n",
    "predictions = logisticRegr.predict(X_test)\n",
    "accuracy = logisticRegr.score(X_test, y_test)\n",
    "print('accuracy: ', accuracy)\n",
    "print(predictions)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Neuronal Network\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NN accuracy:  0.80058393932\n"
     ]
    }
   ],
   "source": [
    "from sklearn.neural_network import MLPClassifier\n",
    "\n",
    "\n",
    "clf = MLPClassifier(solver='lbfgs', alpha=1e-5,hidden_layer_sizes=(5,1), random_state=1)\n",
    "clf.fit(X_train, y_train)\n",
    "\n",
    "\n",
    "accuracy = clf.score(X_test, y_test)\n",
    "print(\"NN accuracy: \", accuracy)\n",
    "\n",
    "#hidden_layer_sizes=(5, 2) ==> 0.876\n",
    "#hidden_layer_sizes=(5, 3) ==> 0.80\n",
    "#hidden_layer_sizes=(3, 3, 2) ==> 0.878\n",
    "#hidden_layer_sizes=(8, 5, 2) ==> 0.882\n",
    "#hidden_layer_sizes=(6, 8, 6) ==> 0.886\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/5\n",
      "511011/511011 [==============================] - 89s 174us/step - loss: 0.7906 - acc: 0.7110\n",
      "Epoch 2/5\n",
      "511011/511011 [==============================] - 2113s 4ms/step - loss: -2.4892 - acc: 0.8447\n",
      "Epoch 3/5\n",
      "511011/511011 [==============================] - 85s 166us/step - loss: -2.7936 - acc: 0.7985\n",
      "Epoch 4/5\n",
      "511011/511011 [==============================] - 104s 204us/step - loss: -2.8311 - acc: 0.8378\n",
      "Epoch 5/5\n",
      "511011/511011 [==============================] - 101s 198us/step - loss: -2.7763 - acc: 0.7951\n",
      "127753/127753 [==============================] - 3s 27us/step\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[-2.7310932955767133, 0.5840332516667226]"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from keras.models import Sequential\n",
    "from keras.layers import Dense\n",
    "import numpy\n",
    "# fix random seed for reproducibility\n",
    "numpy.random.seed(7)\n",
    "\n",
    "#X = np.array(dt[['Total Amount', 'Passenger Count', 'Trip Distance (in miles)', 'Surcharge', 'Payment Type Dummy','Vendor ID Dummy']])\n",
    "#y = np.array(dt['Generous ?'])\n",
    "\n",
    "#6 input variables\n",
    "\n",
    "\n",
    "\n",
    "model = Sequential()\n",
    "model.add(Dense(20, input_dim=6, activation='relu'))\n",
    "\n",
    "model.add(Dense(1, activation='relu'))\n",
    "#model.add(Dense(1, activation='relu'))\n",
    "\n",
    "\n",
    "\n",
    "model.compile(loss='binary_crossentropy', optimizer='adam', metrics=['accuracy'])\n",
    "model.fit(X_train, y_train, epochs=5, batch_size=10)\n",
    "#model.score(X_test, y_test)\n",
    "model.evaluate(X_test, y_test)\n",
    "\n",
    "#print(model.evaluate(X_test, y_test))\n",
    "\n",
    "#2,1 ==> 0.82\n",
    "#3,1 ==> 0.85\n",
    "#5,1 ==> 0.86\n",
    "#6,1 ==> 0.53\n",
    "#10,1 ==> 0.855\n",
    "#11, 1==> 0.53\n",
    "#12, 1 ==> 0.87\n",
    "#13,1 ==>0.858\n",
    "#15, 1 ==> 0.53\n",
    "#20,1 ==> \n",
    "#3,2,1 ==> 0.52\n",
    "#6,2,1 ==> 0.53\n",
    "#12,2,1 ==> 0.53\n",
    "#12, 12, 1 ==> 0.51\n",
    "# 6, 6, 6, 1 ==> \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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