predice-el-futuro.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import libraries \n",
    "import pandas as pd \n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>time</th>\n",
       "      <th>feature</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2019-03-19 00:00:00</td>\n",
       "      <td>237.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>2019-03-19 00:00:10</td>\n",
       "      <td>57.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>2019-03-19 00:00:20</td>\n",
       "      <td>90.53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>2019-03-19 00:00:30</td>\n",
       "      <td>260.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>2019-03-19 00:00:40</td>\n",
       "      <td>49.70</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   id                 time  feature\n",
       "0   0  2019-03-19 00:00:00   237.97\n",
       "1   1  2019-03-19 00:00:10    57.93\n",
       "2   2  2019-03-19 00:00:20    90.53\n",
       "3   3  2019-03-19 00:00:30   260.75\n",
       "4   4  2019-03-19 00:00:40    49.70"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Reading train data set\n",
    "df = pd.read_csv('~/Downloads/predice-el-futuro/train_csv.csv', parse_dates= True) \n",
    "# Reading train data set\n",
    "df.head() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id           int64\n",
       "time        object\n",
       "feature    float64\n",
       "dtype: object"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>80</td>\n",
       "      <td>2019-03-19 00:13:20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>81</td>\n",
       "      <td>2019-03-19 00:13:30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>82</td>\n",
       "      <td>2019-03-19 00:13:40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>83</td>\n",
       "      <td>2019-03-19 00:13:50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>84</td>\n",
       "      <td>2019-03-19 00:14:00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   id                 time\n",
       "0  80  2019-03-19 00:13:20\n",
       "1  81  2019-03-19 00:13:30\n",
       "2  82  2019-03-19 00:13:40\n",
       "3  83  2019-03-19 00:13:50\n",
       "4  84  2019-03-19 00:14:00"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Reading test data set\n",
    "\n",
    "test = pd.read_csv('~/Downloads/predice-el-futuro/test_csv.csv', parse_dates = True) \n",
    "\n",
    "test.head() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id       int64\n",
       "time    object\n",
       "dtype: object"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visual Stationarity test\n",
    "\n",
    "plt.figure(figsize=(20,8))\n",
    "plt.plot(df.index, df['feature'])\n",
    "plt.title('Feature v/s Time Plot')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Feature')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Seasonal Decomposition \n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "#result = seasonal_decompose(train.feature, model ='multiplicative') \n",
    "decompPred = seasonal_decompose(df.feature, model=\"additive\", freq=4)\n",
    "\n",
    "# ETS plot \n",
    "decompPred.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Testing For Stationarity\n",
    "\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "test_result=adfuller(df['feature'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Ho: It is non stationary\n",
    "#H1: It is stationary\n",
    "\n",
    "def adfuller_test(feature):\n",
    "    result=adfuller(feature)\n",
    "    labels = ['ADF Test Statistic','p-value','#Lags Used','Number of Observations Used']\n",
    "    for value,label in zip(result,labels):\n",
    "        print(label+' : '+str(value) )\n",
    "    if result[1] <= 0.05:\n",
    "        print(\"strong evidence against the null hypothesis(Ho), reject the null hypothesis. Data has no unit root and is stationary\")\n",
    "    else:\n",
    "        print(\"weak evidence against null hypothesis, time series has a unit root, indicating it is non-stationary \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Test Statistic : -5.945866499650216\n",
      "p-value : 2.205049473411699e-07\n",
      "#Lags Used : 0\n",
      "Number of Observations Used : 79\n",
      "strong evidence against the null hypothesis(Ho), reject the null hypothesis. Data has no unit root and is stationary\n"
     ]
    }
   ],
   "source": [
    "adfuller_test(df['feature'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Auto Regressive Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pandas.plotting import autocorrelation_plot\n",
    "autocorrelation_plot(df['feature'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf\n",
    "import statsmodels.api as sm\n",
    "\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(df['feature'],lags=40,ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(df['feature'],lags=40,ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1          0.4032      0.125      3.218      0.001       0.158       0.649\n",
      "ma.L1         -1.0000      0.200     -4.998      0.000      -1.392      -0.608\n",
      "ma.S.L12      -0.6355      0.239     -2.661      0.008      -1.104      -0.167\n",
      "sigma2      1.091e+04   1.83e-05   5.95e+08      0.000    1.09e+04    1.09e+04\n",
      "==============================================================================\n"
     ]
    }
   ],
   "source": [
    "#SARIMAX Model\n",
    "\n",
    "model = sm.tsa.statespace.SARIMAX(df['feature'],\n",
    "                                order=(1, 1, 1),\n",
    "                                seasonal_order=(0, 1, 1, 12),\n",
    "                                enforce_stationarity=False,\n",
    "                                enforce_invertibility=False)\n",
    "\n",
    "results = model.fit()\n",
    "\n",
    "print(results.summary().tables[1])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>SARIMAX Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>               <td>feature</td>            <th>  No. Observations:  </th>    <td>80</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>           <td>SARIMAX(1, 1, 1)x(0, 1, 1, 12)</td> <th>  Log Likelihood     </th> <td>-323.970</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>                   <td>Fri, 12 Jun 2020</td>        <th>  AIC                </th>  <td>655.940</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                       <td>13:48:11</td>            <th>  BIC                </th>  <td>663.822</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Sample:</th>                         <td>0</td>               <th>  HQIC               </th>  <td>658.971</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th></th>                              <td> - 80</td>             <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>               <td>opg</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>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ar.L1</th>    <td>    0.4032</td> <td>    0.125</td> <td>    3.218</td> <td> 0.001</td> <td>    0.158</td> <td>    0.649</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L1</th>    <td>   -1.0000</td> <td>    0.200</td> <td>   -4.998</td> <td> 0.000</td> <td>   -1.392</td> <td>   -0.608</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.S.L12</th> <td>   -0.6355</td> <td>    0.239</td> <td>   -2.661</td> <td> 0.008</td> <td>   -1.104</td> <td>   -0.167</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>sigma2</th>   <td> 1.091e+04</td> <td> 1.83e-05</td> <td> 5.95e+08</td> <td> 0.000</td> <td> 1.09e+04</td> <td> 1.09e+04</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Ljung-Box (Q):</th>          <td>27.73</td> <th>  Jarque-Bera (JB):  </th> <td>2.67</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Q):</th>                <td>0.93</td>  <th>  Prob(JB):          </th> <td>0.26</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Heteroskedasticity (H):</th> <td>0.89</td>  <th>  Skew:              </th> <td>0.55</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(H) (two-sided):</th>    <td>0.81</td>  <th>  Kurtosis:          </th> <td>2.92</td>\n",
       "</tr>\n",
       "</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using the outer product of gradients (complex-step).<br/>[2] Covariance matrix is singular or near-singular, with condition number 2.37e+24. Standard errors may be unstable."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                                     SARIMAX Results                                      \n",
       "==========================================================================================\n",
       "Dep. Variable:                            feature   No. Observations:                   80\n",
       "Model:             SARIMAX(1, 1, 1)x(0, 1, 1, 12)   Log Likelihood                -323.970\n",
       "Date:                            Fri, 12 Jun 2020   AIC                            655.940\n",
       "Time:                                    13:48:11   BIC                            663.822\n",
       "Sample:                                         0   HQIC                           658.971\n",
       "                                             - 80                                         \n",
       "Covariance Type:                              opg                                         \n",
       "==============================================================================\n",
       "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "ar.L1          0.4032      0.125      3.218      0.001       0.158       0.649\n",
       "ma.L1         -1.0000      0.200     -4.998      0.000      -1.392      -0.608\n",
       "ma.S.L12      -0.6355      0.239     -2.661      0.008      -1.104      -0.167\n",
       "sigma2      1.091e+04   1.83e-05   5.95e+08      0.000    1.09e+04    1.09e+04\n",
       "===================================================================================\n",
       "Ljung-Box (Q):                       27.73   Jarque-Bera (JB):                 2.67\n",
       "Prob(Q):                              0.93   Prob(JB):                         0.26\n",
       "Heteroskedasticity (H):               0.89   Skew:                             0.55\n",
       "Prob(H) (two-sided):                  0.81   Kurtosis:                         2.92\n",
       "===================================================================================\n",
       "\n",
       "Warnings:\n",
       "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
       "[2] Covariance matrix is singular or near-singular, with condition number 2.37e+24. Standard errors may be unstable.\n",
       "\"\"\""
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.summary()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "results.plot_diagnostics(figsize=(16, 8))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred_uc = results.get_forecast(steps=40)\n",
    "pred_ci = pred_uc.conf_int()\n",
    "\n",
    "ax = df['feature'].plot(label='observed', figsize=(14, 7))\n",
    "pred_uc.predicted_mean.plot(ax=ax, label='Forecast')\n",
    "ax.fill_between(pred_ci.index,\n",
    "                pred_ci.iloc[:, 0],\n",
    "                pred_ci.iloc[:, 1], color='k', alpha=.25)\n",
    "ax.set_xlabel('time')\n",
    "ax.set_ylabel('Feature')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "80     123.262260\n",
       "81     153.652305\n",
       "82     164.341354\n",
       "83     164.946407\n",
       "84     157.037080\n",
       "85     143.829857\n",
       "86     255.458691\n",
       "87     316.004875\n",
       "88     289.162273\n",
       "89     188.206709\n",
       "90     171.997675\n",
       "91     202.927760\n",
       "92     164.722403\n",
       "93     178.844547\n",
       "94     182.974483\n",
       "95     180.934943\n",
       "96     171.959333\n",
       "97     158.322192\n",
       "98     269.777685\n",
       "99     330.253981\n",
       "100    303.383199\n",
       "101    202.416273\n",
       "102    186.202658\n",
       "103    217.130897\n",
       "104    178.924794\n",
       "105    193.046638\n",
       "106    197.176453\n",
       "107    195.136865\n",
       "108    186.161235\n",
       "109    172.524086\n",
       "110    283.979576\n",
       "111    344.455870\n",
       "112    317.585088\n",
       "113    216.618162\n",
       "114    200.404547\n",
       "115    231.332786\n",
       "116    193.126683\n",
       "117    207.248527\n",
       "118    211.378342\n",
       "119    209.338753\n",
       "dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred_uc.predicted_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "ytest= pd.DataFrame(pred_uc.predicted_mean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "ytest = ytest.reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>26</th>\n",
       "      <td>197.176453</td>\n",
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       "      <th>27</th>\n",
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       "      <th>28</th>\n",
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       "      <th>30</th>\n",
       "      <td>283.979576</td>\n",
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       "      <th>31</th>\n",
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       "      <th>35</th>\n",
       "      <td>231.332786</td>\n",
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       "      <th>36</th>\n",
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       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>207.248527</td>\n",
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       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>211.378342</td>\n",
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       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>209.338753</td>\n",
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     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ytest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 40 entries, 0 to 39\n",
      "Data columns (total 2 columns):\n",
      "id      40 non-null int64\n",
      "time    40 non-null datetime64[ns]\n",
      "dtypes: datetime64[ns](1), int64(1)\n",
      "memory usage: 768.0 bytes\n"
     ]
    }
   ],
   "source": [
    "test['time']= pd.to_datetime(test['time']) \n",
    "test.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_pred = pd.concat([test, ytest], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
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       "      <td>143.829857</td>\n",
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       "      <th>6</th>\n",
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       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>87</td>\n",
       "      <td>2019-03-19 00:14:30</td>\n",
       "      <td>316.004875</td>\n",
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       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>88</td>\n",
       "      <td>2019-03-19 00:14:40</td>\n",
       "      <td>289.162273</td>\n",
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       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>89</td>\n",
       "      <td>2019-03-19 00:14:50</td>\n",
       "      <td>188.206709</td>\n",
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       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>90</td>\n",
       "      <td>2019-03-19 00:15:00</td>\n",
       "      <td>171.997675</td>\n",
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       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>91</td>\n",
       "      <td>2019-03-19 00:15:10</td>\n",
       "      <td>202.927760</td>\n",
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       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>92</td>\n",
       "      <td>2019-03-19 00:15:20</td>\n",
       "      <td>164.722403</td>\n",
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       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>93</td>\n",
       "      <td>2019-03-19 00:15:30</td>\n",
       "      <td>178.844547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>94</td>\n",
       "      <td>2019-03-19 00:15:40</td>\n",
       "      <td>182.974483</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>95</td>\n",
       "      <td>2019-03-19 00:15:50</td>\n",
       "      <td>180.934943</td>\n",
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       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>96</td>\n",
       "      <td>2019-03-19 00:16:00</td>\n",
       "      <td>171.959333</td>\n",
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       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>97</td>\n",
       "      <td>2019-03-19 00:16:10</td>\n",
       "      <td>158.322192</td>\n",
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       "    <tr>\n",
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       "      <td>98</td>\n",
       "      <td>2019-03-19 00:16:20</td>\n",
       "      <td>269.777685</td>\n",
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       "      <td>99</td>\n",
       "      <td>2019-03-19 00:16:30</td>\n",
       "      <td>330.253981</td>\n",
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       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>100</td>\n",
       "      <td>2019-03-19 00:16:40</td>\n",
       "      <td>303.383199</td>\n",
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       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>101</td>\n",
       "      <td>2019-03-19 00:16:50</td>\n",
       "      <td>202.416273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>102</td>\n",
       "      <td>2019-03-19 00:17:00</td>\n",
       "      <td>186.202658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>103</td>\n",
       "      <td>2019-03-19 00:17:10</td>\n",
       "      <td>217.130897</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>104</td>\n",
       "      <td>2019-03-19 00:17:20</td>\n",
       "      <td>178.924794</td>\n",
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       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>105</td>\n",
       "      <td>2019-03-19 00:17:30</td>\n",
       "      <td>193.046638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>106</td>\n",
       "      <td>2019-03-19 00:17:40</td>\n",
       "      <td>197.176453</td>\n",
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       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>107</td>\n",
       "      <td>2019-03-19 00:17:50</td>\n",
       "      <td>195.136865</td>\n",
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       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>108</td>\n",
       "      <td>2019-03-19 00:18:00</td>\n",
       "      <td>186.161235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>109</td>\n",
       "      <td>2019-03-19 00:18:10</td>\n",
       "      <td>172.524086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>110</td>\n",
       "      <td>2019-03-19 00:18:20</td>\n",
       "      <td>283.979576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>111</td>\n",
       "      <td>2019-03-19 00:18:30</td>\n",
       "      <td>344.455870</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>112</td>\n",
       "      <td>2019-03-19 00:18:40</td>\n",
       "      <td>317.585088</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>113</td>\n",
       "      <td>2019-03-19 00:18:50</td>\n",
       "      <td>216.618162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>114</td>\n",
       "      <td>2019-03-19 00:19:00</td>\n",
       "      <td>200.404547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>115</td>\n",
       "      <td>2019-03-19 00:19:10</td>\n",
       "      <td>231.332786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>116</td>\n",
       "      <td>2019-03-19 00:19:20</td>\n",
       "      <td>193.126683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>117</td>\n",
       "      <td>2019-03-19 00:19:30</td>\n",
       "      <td>207.248527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>118</td>\n",
       "      <td>2019-03-19 00:19:40</td>\n",
       "      <td>211.378342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>119</td>\n",
       "      <td>2019-03-19 00:19:50</td>\n",
       "      <td>209.338753</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
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       "2    82 2019-03-19 00:13:40  164.341354\n",
       "3    83 2019-03-19 00:13:50  164.946407\n",
       "4    84 2019-03-19 00:14:00  157.037080\n",
       "5    85 2019-03-19 00:14:10  143.829857\n",
       "6    86 2019-03-19 00:14:20  255.458691\n",
       "7    87 2019-03-19 00:14:30  316.004875\n",
       "8    88 2019-03-19 00:14:40  289.162273\n",
       "9    89 2019-03-19 00:14:50  188.206709\n",
       "10   90 2019-03-19 00:15:00  171.997675\n",
       "11   91 2019-03-19 00:15:10  202.927760\n",
       "12   92 2019-03-19 00:15:20  164.722403\n",
       "13   93 2019-03-19 00:15:30  178.844547\n",
       "14   94 2019-03-19 00:15:40  182.974483\n",
       "15   95 2019-03-19 00:15:50  180.934943\n",
       "16   96 2019-03-19 00:16:00  171.959333\n",
       "17   97 2019-03-19 00:16:10  158.322192\n",
       "18   98 2019-03-19 00:16:20  269.777685\n",
       "19   99 2019-03-19 00:16:30  330.253981\n",
       "20  100 2019-03-19 00:16:40  303.383199\n",
       "21  101 2019-03-19 00:16:50  202.416273\n",
       "22  102 2019-03-19 00:17:00  186.202658\n",
       "23  103 2019-03-19 00:17:10  217.130897\n",
       "24  104 2019-03-19 00:17:20  178.924794\n",
       "25  105 2019-03-19 00:17:30  193.046638\n",
       "26  106 2019-03-19 00:17:40  197.176453\n",
       "27  107 2019-03-19 00:17:50  195.136865\n",
       "28  108 2019-03-19 00:18:00  186.161235\n",
       "29  109 2019-03-19 00:18:10  172.524086\n",
       "30  110 2019-03-19 00:18:20  283.979576\n",
       "31  111 2019-03-19 00:18:30  344.455870\n",
       "32  112 2019-03-19 00:18:40  317.585088\n",
       "33  113 2019-03-19 00:18:50  216.618162\n",
       "34  114 2019-03-19 00:19:00  200.404547\n",
       "35  115 2019-03-19 00:19:10  231.332786\n",
       "36  116 2019-03-19 00:19:20  193.126683\n",
       "37  117 2019-03-19 00:19:30  207.248527\n",
       "38  118 2019-03-19 00:19:40  211.378342\n",
       "39  119 2019-03-19 00:19:50  209.338753"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_pred['feature']=test_pred[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>time</th>\n",
       "      <th>0</th>\n",
       "      <th>feature</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>80</td>\n",
       "      <td>2019-03-19 00:13:20</td>\n",
       "      <td>123.262260</td>\n",
       "      <td>123.262260</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>81</td>\n",
       "      <td>2019-03-19 00:13:30</td>\n",
       "      <td>153.652305</td>\n",
       "      <td>153.652305</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>82</td>\n",
       "      <td>2019-03-19 00:13:40</td>\n",
       "      <td>164.341354</td>\n",
       "      <td>164.341354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>83</td>\n",
       "      <td>2019-03-19 00:13:50</td>\n",
       "      <td>164.946407</td>\n",
       "      <td>164.946407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>84</td>\n",
       "      <td>2019-03-19 00:14:00</td>\n",
       "      <td>157.037080</td>\n",
       "      <td>157.037080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>85</td>\n",
       "      <td>2019-03-19 00:14:10</td>\n",
       "      <td>143.829857</td>\n",
       "      <td>143.829857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>86</td>\n",
       "      <td>2019-03-19 00:14:20</td>\n",
       "      <td>255.458691</td>\n",
       "      <td>255.458691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>87</td>\n",
       "      <td>2019-03-19 00:14:30</td>\n",
       "      <td>316.004875</td>\n",
       "      <td>316.004875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>88</td>\n",
       "      <td>2019-03-19 00:14:40</td>\n",
       "      <td>289.162273</td>\n",
       "      <td>289.162273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>89</td>\n",
       "      <td>2019-03-19 00:14:50</td>\n",
       "      <td>188.206709</td>\n",
       "      <td>188.206709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>90</td>\n",
       "      <td>2019-03-19 00:15:00</td>\n",
       "      <td>171.997675</td>\n",
       "      <td>171.997675</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>91</td>\n",
       "      <td>2019-03-19 00:15:10</td>\n",
       "      <td>202.927760</td>\n",
       "      <td>202.927760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>92</td>\n",
       "      <td>2019-03-19 00:15:20</td>\n",
       "      <td>164.722403</td>\n",
       "      <td>164.722403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>93</td>\n",
       "      <td>2019-03-19 00:15:30</td>\n",
       "      <td>178.844547</td>\n",
       "      <td>178.844547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>94</td>\n",
       "      <td>2019-03-19 00:15:40</td>\n",
       "      <td>182.974483</td>\n",
       "      <td>182.974483</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>95</td>\n",
       "      <td>2019-03-19 00:15:50</td>\n",
       "      <td>180.934943</td>\n",
       "      <td>180.934943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>96</td>\n",
       "      <td>2019-03-19 00:16:00</td>\n",
       "      <td>171.959333</td>\n",
       "      <td>171.959333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>97</td>\n",
       "      <td>2019-03-19 00:16:10</td>\n",
       "      <td>158.322192</td>\n",
       "      <td>158.322192</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>98</td>\n",
       "      <td>2019-03-19 00:16:20</td>\n",
       "      <td>269.777685</td>\n",
       "      <td>269.777685</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>99</td>\n",
       "      <td>2019-03-19 00:16:30</td>\n",
       "      <td>330.253981</td>\n",
       "      <td>330.253981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>100</td>\n",
       "      <td>2019-03-19 00:16:40</td>\n",
       "      <td>303.383199</td>\n",
       "      <td>303.383199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>101</td>\n",
       "      <td>2019-03-19 00:16:50</td>\n",
       "      <td>202.416273</td>\n",
       "      <td>202.416273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>102</td>\n",
       "      <td>2019-03-19 00:17:00</td>\n",
       "      <td>186.202658</td>\n",
       "      <td>186.202658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>103</td>\n",
       "      <td>2019-03-19 00:17:10</td>\n",
       "      <td>217.130897</td>\n",
       "      <td>217.130897</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>104</td>\n",
       "      <td>2019-03-19 00:17:20</td>\n",
       "      <td>178.924794</td>\n",
       "      <td>178.924794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>105</td>\n",
       "      <td>2019-03-19 00:17:30</td>\n",
       "      <td>193.046638</td>\n",
       "      <td>193.046638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>106</td>\n",
       "      <td>2019-03-19 00:17:40</td>\n",
       "      <td>197.176453</td>\n",
       "      <td>197.176453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>107</td>\n",
       "      <td>2019-03-19 00:17:50</td>\n",
       "      <td>195.136865</td>\n",
       "      <td>195.136865</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>108</td>\n",
       "      <td>2019-03-19 00:18:00</td>\n",
       "      <td>186.161235</td>\n",
       "      <td>186.161235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>109</td>\n",
       "      <td>2019-03-19 00:18:10</td>\n",
       "      <td>172.524086</td>\n",
       "      <td>172.524086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>110</td>\n",
       "      <td>2019-03-19 00:18:20</td>\n",
       "      <td>283.979576</td>\n",
       "      <td>283.979576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>111</td>\n",
       "      <td>2019-03-19 00:18:30</td>\n",
       "      <td>344.455870</td>\n",
       "      <td>344.455870</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>112</td>\n",
       "      <td>2019-03-19 00:18:40</td>\n",
       "      <td>317.585088</td>\n",
       "      <td>317.585088</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>113</td>\n",
       "      <td>2019-03-19 00:18:50</td>\n",
       "      <td>216.618162</td>\n",
       "      <td>216.618162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>114</td>\n",
       "      <td>2019-03-19 00:19:00</td>\n",
       "      <td>200.404547</td>\n",
       "      <td>200.404547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>115</td>\n",
       "      <td>2019-03-19 00:19:10</td>\n",
       "      <td>231.332786</td>\n",
       "      <td>231.332786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>116</td>\n",
       "      <td>2019-03-19 00:19:20</td>\n",
       "      <td>193.126683</td>\n",
       "      <td>193.126683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>117</td>\n",
       "      <td>2019-03-19 00:19:30</td>\n",
       "      <td>207.248527</td>\n",
       "      <td>207.248527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>118</td>\n",
       "      <td>2019-03-19 00:19:40</td>\n",
       "      <td>211.378342</td>\n",
       "      <td>211.378342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>119</td>\n",
       "      <td>2019-03-19 00:19:50</td>\n",
       "      <td>209.338753</td>\n",
       "      <td>209.338753</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     id                time           0     feature\n",
       "0    80 2019-03-19 00:13:20  123.262260  123.262260\n",
       "1    81 2019-03-19 00:13:30  153.652305  153.652305\n",
       "2    82 2019-03-19 00:13:40  164.341354  164.341354\n",
       "3    83 2019-03-19 00:13:50  164.946407  164.946407\n",
       "4    84 2019-03-19 00:14:00  157.037080  157.037080\n",
       "5    85 2019-03-19 00:14:10  143.829857  143.829857\n",
       "6    86 2019-03-19 00:14:20  255.458691  255.458691\n",
       "7    87 2019-03-19 00:14:30  316.004875  316.004875\n",
       "8    88 2019-03-19 00:14:40  289.162273  289.162273\n",
       "9    89 2019-03-19 00:14:50  188.206709  188.206709\n",
       "10   90 2019-03-19 00:15:00  171.997675  171.997675\n",
       "11   91 2019-03-19 00:15:10  202.927760  202.927760\n",
       "12   92 2019-03-19 00:15:20  164.722403  164.722403\n",
       "13   93 2019-03-19 00:15:30  178.844547  178.844547\n",
       "14   94 2019-03-19 00:15:40  182.974483  182.974483\n",
       "15   95 2019-03-19 00:15:50  180.934943  180.934943\n",
       "16   96 2019-03-19 00:16:00  171.959333  171.959333\n",
       "17   97 2019-03-19 00:16:10  158.322192  158.322192\n",
       "18   98 2019-03-19 00:16:20  269.777685  269.777685\n",
       "19   99 2019-03-19 00:16:30  330.253981  330.253981\n",
       "20  100 2019-03-19 00:16:40  303.383199  303.383199\n",
       "21  101 2019-03-19 00:16:50  202.416273  202.416273\n",
       "22  102 2019-03-19 00:17:00  186.202658  186.202658\n",
       "23  103 2019-03-19 00:17:10  217.130897  217.130897\n",
       "24  104 2019-03-19 00:17:20  178.924794  178.924794\n",
       "25  105 2019-03-19 00:17:30  193.046638  193.046638\n",
       "26  106 2019-03-19 00:17:40  197.176453  197.176453\n",
       "27  107 2019-03-19 00:17:50  195.136865  195.136865\n",
       "28  108 2019-03-19 00:18:00  186.161235  186.161235\n",
       "29  109 2019-03-19 00:18:10  172.524086  172.524086\n",
       "30  110 2019-03-19 00:18:20  283.979576  283.979576\n",
       "31  111 2019-03-19 00:18:30  344.455870  344.455870\n",
       "32  112 2019-03-19 00:18:40  317.585088  317.585088\n",
       "33  113 2019-03-19 00:18:50  216.618162  216.618162\n",
       "34  114 2019-03-19 00:19:00  200.404547  200.404547\n",
       "35  115 2019-03-19 00:19:10  231.332786  231.332786\n",
       "36  116 2019-03-19 00:19:20  193.126683  193.126683\n",
       "37  117 2019-03-19 00:19:30  207.248527  207.248527\n",
       "38  118 2019-03-19 00:19:40  211.378342  211.378342\n",
       "39  119 2019-03-19 00:19:50  209.338753  209.338753"
      ]
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  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_pred=test_pred.drop(columns=[0],axis=1)"
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  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_pred"
   ]
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