05_autoregressive_model.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0fc3e417",
   "metadata": {},
   "source": [
    "# The autoregressive model: AR(p) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "78773d33",
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
    "from statsmodels.tsa.arima_process import ArmaProcess\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f817ee3b",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (9,6)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60db38af",
   "metadata": {},
   "source": [
    "## Simulate a AR(2) process "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "773e9578",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "\n",
    "ma2 = np.array([1, 0, 0])\n",
    "ar2 = np.array([1, -0.33, -0.50])\n",
    "\n",
    "AR2_process = ArmaProcess(ar2, ma2).generate_sample(nsample=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7611bc9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(AR2_process, lags=20);\n",
    "\n",
    "plt.ylim(-0.5, 1.5)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "da46ff89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(AR2_process, lags=20);\n",
    "\n",
    "plt.ylim(-0.5, 1.5)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87e345ed",
   "metadata": {},
   "source": [
    "## Forecasting with the AR(p) model "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9c19d9a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\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>value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>100.496714</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>100.507464</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>101.456406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>103.270569</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        value\n",
       "0  100.000000\n",
       "1  100.496714\n",
       "2  100.507464\n",
       "3  101.456406\n",
       "4  103.270569"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('data/simulated_AR2.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "91133794",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(df['value'])\n",
    "ax.set_xlabel('Time steps')\n",
    "ax.set_ylabel('Value')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3243c70",
   "metadata": {},
   "source": [
    "### Test for stationarity "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6e2e7d26",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -1.121868376889805\n",
      "p-value: 0.706272734277082\n"
     ]
    }
   ],
   "source": [
    "ADF_result = adfuller(df['value'])\n",
    "\n",
    "print(f'ADF Statistic: {ADF_result[0]}')\n",
    "print(f'p-value: {ADF_result[1]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed807211",
   "metadata": {},
   "source": [
    "### Transform and test for stationarity again "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "02209728",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -5.565515624443826\n",
      "p-value: 1.507904341632081e-06\n"
     ]
    }
   ],
   "source": [
    "value_diff = np.diff(df['value'], n=1)\n",
    "\n",
    "ADF_result = adfuller(value_diff)\n",
    "\n",
    "print(f'ADF Statistic: {ADF_result[0]}')\n",
    "print(f'p-value: {ADF_result[1]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b494726c",
   "metadata": {},
   "source": [
    "### Plot ACF "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "24b23f59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(value_diff, lags=20);\n",
    "\n",
    "plt.ylim(-0.5, 1.5)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69d5e1d0",
   "metadata": {},
   "source": [
    "### Plot PACF "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "63580012",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(value_diff, lags=20);\n",
    "\n",
    "plt.ylim(-0.5, 1.5)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "796b6883",
   "metadata": {},
   "source": [
    "### Train/test split "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "94672a9c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "899\n",
      "100\n"
     ]
    }
   ],
   "source": [
    "df_diff = pd.DataFrame({'value_diff': value_diff})\n",
    "\n",
    "train = df_diff[:-100]\n",
    "test = df_diff[-100:]\n",
    "\n",
    "print(len(train))\n",
    "print(len(test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cdbf0bcb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=2, ncols=1, sharex=True)\n",
    "\n",
    "ax1.plot(df['value'])\n",
    "ax1.set_xlabel('Time steps')\n",
    "ax1.set_ylabel('Value')\n",
    "ax1.axvspan(901, 1000, color='#808080', alpha=0.2)\n",
    "\n",
    "ax2.plot(df_diff['value_diff'])\n",
    "ax2.set_xlabel('Time steps')\n",
    "ax2.set_ylabel('Value')\n",
    "ax2.axvspan(899, 998, color='#808080', alpha=0.2)\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0227959",
   "metadata": {},
   "source": [
    "### Forecast "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ac1546b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def rolling_predictions(df_diff: pd.DataFrame, last_train_value: np.array, train_len: int, horizon: int, window: int, method: str) -> list:\n",
    "    \n",
    "    TOTAL_LEN = train_len + horizon\n",
    "    \n",
    "    if method == 'mean':\n",
    "        pred_mean = []\n",
    "        \n",
    "        for i in range(train_len, TOTAL_LEN, window):\n",
    "            mean = np.mean(df_diff[:i].values)\n",
    "            pred_mean.extend(mean for _ in range(window))\n",
    "\n",
    "        pred_mean = np.concatenate((last_train_value, pred_mean))\n",
    "        pred_mean = pred_mean.cumsum()\n",
    "        \n",
    "        return pred_mean[:100]\n",
    "\n",
    "    elif method == 'last':\n",
    "        pred_last_value = []\n",
    "        \n",
    "        for i in range(train_len, TOTAL_LEN, window):\n",
    "            last_value = df_diff[:i].iloc[-1].values[0]\n",
    "            pred_last_value.extend(last_value for _ in range(window))\n",
    "            \n",
    "        pred_last_value = np.concatenate((last_train_value, pred_last_value))\n",
    "        pred_last_value = pred_last_value.cumsum()\n",
    "        \n",
    "        return pred_last_value[:100]\n",
    "    \n",
    "    if method == 'AR':\n",
    "        pred_AR = []\n",
    "        \n",
    "        for i in range(train_len, TOTAL_LEN, window):\n",
    "            model = SARIMAX(df_diff[:i], order=(2,0,0))\n",
    "            res = model.fit(disp=False)\n",
    "            predictions = res.get_prediction(0, i + window - 1)\n",
    "            oos_pred = predictions.predicted_mean.iloc[-window:]\n",
    "            pred_AR.extend(oos_pred)\n",
    "            \n",
    "        pred_AR = np.concatenate((last_train_value, pred_AR))\n",
    "        pred_AR = pred_AR.cumsum()\n",
    "            \n",
    "        return pred_AR[:100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "58959be4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\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>value</th>\n",
       "      <th>pred_mean_1</th>\n",
       "      <th>pred_last_1</th>\n",
       "      <th>pred_AR_1</th>\n",
       "      <th>pred_mean_2</th>\n",
       "      <th>pred_last_2</th>\n",
       "      <th>pred_AR_2</th>\n",
       "      <th>pred_mean_5</th>\n",
       "      <th>pred_last_5</th>\n",
       "      <th>pred_AR_5</th>\n",
       "      <th>pred_mean_10</th>\n",
       "      <th>pred_last_10</th>\n",
       "      <th>pred_AR_10</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>900</th>\n",
       "      <td>194.932437</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "      <td>190.964834</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>901</th>\n",
       "      <td>199.973978</td>\n",
       "      <td>191.066019</td>\n",
       "      <td>196.769146</td>\n",
       "      <td>195.747786</td>\n",
       "      <td>191.066019</td>\n",
       "      <td>196.769146</td>\n",
       "      <td>195.747786</td>\n",
       "      <td>191.066019</td>\n",
       "      <td>196.769146</td>\n",
       "      <td>195.747786</td>\n",
       "      <td>191.066019</td>\n",
       "      <td>196.769146</td>\n",
       "      <td>195.747786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>902</th>\n",
       "      <td>203.473664</td>\n",
       "      <td>191.171499</td>\n",
       "      <td>200.736749</td>\n",
       "      <td>200.371169</td>\n",
       "      <td>191.167203</td>\n",
       "      <td>202.573457</td>\n",
       "      <td>200.635773</td>\n",
       "      <td>191.167203</td>\n",
       "      <td>202.573457</td>\n",
       "      <td>200.635773</td>\n",
       "      <td>191.167203</td>\n",
       "      <td>202.573457</td>\n",
       "      <td>200.635773</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>903</th>\n",
       "      <td>207.577239</td>\n",
       "      <td>191.282458</td>\n",
       "      <td>205.778290</td>\n",
       "      <td>204.265177</td>\n",
       "      <td>191.278162</td>\n",
       "      <td>207.614998</td>\n",
       "      <td>204.529780</td>\n",
       "      <td>191.268388</td>\n",
       "      <td>208.377769</td>\n",
       "      <td>204.961730</td>\n",
       "      <td>191.268388</td>\n",
       "      <td>208.377769</td>\n",
       "      <td>204.961730</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>904</th>\n",
       "      <td>212.186574</td>\n",
       "      <td>191.397174</td>\n",
       "      <td>209.277975</td>\n",
       "      <td>208.299480</td>\n",
       "      <td>191.389121</td>\n",
       "      <td>212.656539</td>\n",
       "      <td>208.690218</td>\n",
       "      <td>191.369572</td>\n",
       "      <td>214.182080</td>\n",
       "      <td>209.171915</td>\n",
       "      <td>191.369572</td>\n",
       "      <td>214.182080</td>\n",
       "      <td>209.171915</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          value  pred_mean_1  pred_last_1   pred_AR_1  pred_mean_2  \\\n",
       "900  194.932437   190.964834   190.964834  190.964834   190.964834   \n",
       "901  199.973978   191.066019   196.769146  195.747786   191.066019   \n",
       "902  203.473664   191.171499   200.736749  200.371169   191.167203   \n",
       "903  207.577239   191.282458   205.778290  204.265177   191.278162   \n",
       "904  212.186574   191.397174   209.277975  208.299480   191.389121   \n",
       "\n",
       "     pred_last_2   pred_AR_2  pred_mean_5  pred_last_5   pred_AR_5  \\\n",
       "900   190.964834  190.964834   190.964834   190.964834  190.964834   \n",
       "901   196.769146  195.747786   191.066019   196.769146  195.747786   \n",
       "902   202.573457  200.635773   191.167203   202.573457  200.635773   \n",
       "903   207.614998  204.529780   191.268388   208.377769  204.961730   \n",
       "904   212.656539  208.690218   191.369572   214.182080  209.171915   \n",
       "\n",
       "     pred_mean_10  pred_last_10  pred_AR_10  \n",
       "900    190.964834    190.964834  190.964834  \n",
       "901    191.066019    196.769146  195.747786  \n",
       "902    191.167203    202.573457  200.635773  \n",
       "903    191.268388    208.377769  204.961730  \n",
       "904    191.369572    214.182080  209.171915  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred_df = df[-100:].copy()\n",
    "\n",
    "TRAIN_LEN = len(train)\n",
    "HORIZON = len(test)\n",
    "LAST_TRAIN_VALUE = df.iloc[899].values\n",
    "\n",
    "windows = [1, 2, 5, 10]\n",
    "\n",
    "for window in windows:\n",
    "    pred_mean = rolling_predictions(df_diff, LAST_TRAIN_VALUE, TRAIN_LEN, HORIZON, window, 'mean')\n",
    "    pred_last = rolling_predictions(df_diff, LAST_TRAIN_VALUE, TRAIN_LEN, HORIZON, window, 'last')\n",
    "    pred_AR = rolling_predictions(df_diff, LAST_TRAIN_VALUE, TRAIN_LEN, HORIZON, window, 'AR')\n",
    "\n",
    "    pred_df[f'pred_mean_{window}'] = pred_mean\n",
    "    pred_df[f'pred_last_{window}'] = pred_last\n",
    "    pred_df[f'pred_AR_{window}'] = pred_AR\n",
    "\n",
    "pred_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "1767ac04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x900 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(12,9))\n",
    "\n",
    "for i, ax in enumerate(axes.flatten()):\n",
    "    \n",
    "    ax.plot(df['value'])\n",
    "    ax.plot(pred_df['value'], 'b-', label='actual')\n",
    "    ax.plot(pred_df[f'pred_mean_{windows[i]}'], 'g:', label='mean')\n",
    "    ax.plot(pred_df[f'pred_last_{windows[i]}'], 'r-.', label='last')\n",
    "    ax.plot(pred_df[f'pred_AR_{windows[i]}'], 'k--', label='AR(2)')\n",
    "    \n",
    "    ax.legend(loc=2)\n",
    "    ax.set_xlabel('Time steps')\n",
    "    ax.set_ylabel('Value')\n",
    "    ax.axvspan(901, 1000, color='#808080', alpha=0.2)\n",
    "    ax.set_xlim(730, 1000)\n",
    "    ax.set_title(f'Horizon = {windows[i]}')\n",
    "    \n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b1b6c151",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import mean_absolute_error\n",
    "\n",
    "mae_mean_1 = mean_absolute_error(pred_df['value'], pred_df['pred_mean_1'])\n",
    "mae_last_1 = mean_absolute_error(pred_df['value'], pred_df['pred_last_1'])\n",
    "mae_AR_1 = mean_absolute_error(pred_df['value'], pred_df['pred_AR_1'])\n",
    "\n",
    "mae_mean_2 = mean_absolute_error(pred_df['value'], pred_df['pred_mean_2'])\n",
    "mae_last_2 = mean_absolute_error(pred_df['value'], pred_df['pred_last_2'])\n",
    "mae_AR_2 = mean_absolute_error(pred_df['value'], pred_df['pred_AR_2'])\n",
    "\n",
    "mae_mean_5 = mean_absolute_error(pred_df['value'], pred_df['pred_mean_5'])\n",
    "mae_last_5 = mean_absolute_error(pred_df['value'], pred_df['pred_last_5'])\n",
    "mae_AR_5 = mean_absolute_error(pred_df['value'], pred_df['pred_AR_5'])\n",
    "\n",
    "mae_mean_10 = mean_absolute_error(pred_df['value'], pred_df['pred_mean_10'])\n",
    "mae_last_10 = mean_absolute_error(pred_df['value'], pred_df['pred_last_10'])\n",
    "mae_AR_10 = mean_absolute_error(pred_df['value'], pred_df['pred_AR_10'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "35a79384",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x900 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "maes_mean = [mae_mean_1, mae_mean_2, mae_mean_5, mae_mean_10]\n",
    "maes_last = [mae_last_1, mae_last_2, mae_last_5, mae_last_10]\n",
    "maes_AR = [mae_AR_1, mae_AR_2, mae_AR_5, mae_AR_10]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(12,9))\n",
    "\n",
    "x = ['mean', 'last', 'AR(2)']\n",
    "width = 0.3\n",
    "\n",
    "for i, ax in enumerate(axes.flatten()):\n",
    "    \n",
    "    y = [maes_mean[i], maes_last[i], maes_AR[i]]\n",
    "    ax.bar(x, y, width)\n",
    "    ax.set_xlabel('Methods')\n",
    "    ax.set_ylabel('MAE')\n",
    "    ax.set_ylim(0, 100)\n",
    "    ax.set_title(f'Horizon = {windows[i]}')    \n",
    "    \n",
    "    for index, value in enumerate(y):\n",
    "        ax.text(x=index, y=value+1, s=str(round(value, 2)), ha='center')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "50b3e0f5",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}