3_naturalGas_Forecast.ipynb

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  {
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   "source": [
    "## Import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 271,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import seaborn as sns\n",
    "\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
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   "metadata": {},
   "outputs": [],
   "source": [
    "%run naturalGas_Wrangling.ipynb"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Electric Energy Forecast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 290,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ts_energy.plot(figsize=(15,3))\n",
    "plt.legend().remove()\n",
    "plt.ylabel('GWh')\n",
    "for year in range(2000,2019):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.3, lw=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Plotting the electry energy production data (t) on the x-axis against the electry energy production on the previous month (t-1) on y-axis\n",
    "\n",
    "lag_plot(ts_energy)\n",
    "plt.title('Lag Plot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "         t-1      t+1\nt-1  1.00000  0.91207\nt+1  0.91207  1.00000",
      "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>t-1</th>\n      <th>t+1</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>t-1</th>\n      <td>1.00000</td>\n      <td>0.91207</td>\n    </tr>\n    <tr>\n      <th>t+1</th>\n      <td>0.91207</td>\n      <td>1.00000</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 90
    }
   ],
   "source": [
    "# Anual Data Correlation \n",
    "values = pd.DataFrame(ts_energy.values).copy()\n",
    "dataframe = pd.concat([values.shift(12), values], axis=1)\n",
    "dataframe.columns = ['t-1', 't+1']\n",
    "result = dataframe.corr()\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "          t-1       t+1\nt-1  1.000000  0.824236\nt+1  0.824236  1.000000",
      "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>t-1</th>\n      <th>t+1</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>t-1</th>\n      <td>1.000000</td>\n      <td>0.824236</td>\n    </tr>\n    <tr>\n      <th>t+1</th>\n      <td>0.824236</td>\n      <td>1.000000</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 91
    }
   ],
   "source": [
    "# Month Data Correlation\n",
    "values = pd.DataFrame(ts_energy.values).copy()\n",
    "dataframe = pd.concat([values.shift(1), values], axis=1)\n",
    "dataframe.columns = ['t-1', 't+1']\n",
    "result = dataframe.corr()\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<AxesSubplot:xlabel='Lag', ylabel='Autocorrelation'>"
     },
     "metadata": {},
     "execution_count": 23
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "pd.plotting.autocorrelation_plot(ts_energy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 263,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "sm.graphics.tsa.plot_acf(ts_energy.values.squeeze(), lags=48);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hydroelectric Energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 261,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1080x216 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ts_hydro.plot(figsize=(15,3))\n",
    "plt.legend().remove()\n",
    "plt.title('Hydroelectric Energy Time Series')\n",
    "plt.ylabel('GWh')\n",
    "for year in range(2000,2019):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.3, lw=0.5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Plotting the electry energy production data (t) on the x-axis against the electry energy production on the previous month (t-1) on y-axis\n",
    "\n",
    "lag_plot(ts_hydro)\n",
    "plt.title('Lag Plot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "          t-1       t+1\nt-1  1.000000  0.764015\nt+1  0.764015  1.000000",
      "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>t-1</th>\n      <th>t+1</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>t-1</th>\n      <td>1.000000</td>\n      <td>0.764015</td>\n    </tr>\n    <tr>\n      <th>t+1</th>\n      <td>0.764015</td>\n      <td>1.000000</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 122
    }
   ],
   "source": [
    "# Month Data Correlation\n",
    "values = pd.DataFrame(ts_hydro.values).copy()\n",
    "dataframe = pd.concat([values.shift(1), values], axis=1)\n",
    "dataframe.columns = ['t-1', 't+1']\n",
    "result = dataframe.corr()\n",
    "result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Precipitation Time Series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "metadata": {},
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    "\n"
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ts_precip.plot(figsize=(15,3))\n",
    "plt.ylabel('mm/month')\n",
    "plt.title(precip.title)\n",
    "plt.figtext(0.1,-0.1, precip.footer)\n",
    "for year in range(2000,2019):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.3, lw=0.5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 245,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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AA1IL7SQznro5iNsp41mVghADTRXMDlE/8KaJqJVOI8Y4YVGWrT1qhhSlHCC/mU5eprMifANlPKtKlBMDTRWyetP+wOMEfdx3lWVrj5ohDZmF7j9WE59Ak6IKRpbxrEpBiIGmyKzmKKJ++IsWDofuHyfo16xaxvCC+YJ3eMhKs7VHKbRZ99KVcxYUVZ22jGdVJiYx8JQdlx5lG4f5uRUGXHTO4o7f1WsUU5ZEmUbGgn7W1SfQpEjfQNHPqhSEEBUg6oc/+ciTc3IFHLht2xTjLz0pda5GUbTb4y86ZzG3bZsKjR4qu6290OxnlCelLuGzccjEJESFuefBA5GJZO1UYSGaMHv8bdumeOurx0o142VNaz/DqKOpLAzNIISoMEnNF1VZiCbKHn/PgwfYuvbiwtrRDWkikeKq947V1FQWhhSEEBUmaWhjFklUaUM1w/avQl5JN6RVsFH9MYhUhHVcrzo3E5OZnW5m95jZA2a2y8z+KNh+kpndaWY/CF4XtRxzjZk9ZGa7zWxVXm0Toi4kDW3sVTCnDdWM2n80ReRVFUxiTdJGIqVd16GKa6cnIU8fxGHganf/JeBC4D1mdi6wFrjL3c8G7gr+J/jsCuA84PXA35jZUOg3CzEgJA1t7HUhmrQCMmp/dxIptKoJzLQKNm1OQlGhsFmTm4Jw933u/t3g/VPAA8AYcBlwU7DbTcDq4P1lwBfd/Tl3fxh4CLggr/YJURdWrxhj69qLeXj9JWxde3GoWaLXJKq0AjJq+0+mZxIptKoJzLQKNm1OQl1Nb4X4IMxsKbAC+DZwirvvg4YSMbMXB7uNAfe2HLY32CaE6ECvdYbSlnGI2z9J6GrVBGY3hfzShOhWoaRLN+SuIMzs+cBtwPvd/acWkV5Pw7/TzrwQYzO7CrgK4IwzzsiqmUJ0pOpOxl5yCtIKyF4ro+YpMLu5T3kX8qtrJdlcFYSZDdNQDje7+5eCzU+Y2ZJg9rAE2B9s3wuc3nL4acDj7d/p7jcCNwKMj49HV/sSA0MRgrsqYaR5kVZA9ipQ8xKYvdynPJP26lpJ1jymomJPX9yYKtwEPOnu72/ZvgH4sbuvN7O1wEnu/kEzOw/4PA2/w6k0HNhnu3t4sDENBTE5OZlL+0Vx9CLg2wUCNARN1olYK9ffHVkuourx/VUlD8Wu+5QMM9vm7uOd9stzBrESeCdwn5ntCLZ9CFgPbDKzK4FHgcsB3H2XmW0Cvk8jAuo9ccpB9Ae9jsyLWkSlajbzfiCrEXuroslihbok56nLDKBXclMQ7v7PhPsVAF4bcczHgI/l1SZRPXoV8EUJ7qrZzEWDsBlkGO33qZukwH42MUahWkyiVHoV8L3G/yclr1r8VcsHqBtxJS+atN+nbq551cJyi0IKQpRKrwK+qEVU8qrFP6iCJyviBhJR96mbaz6oJkbVYhKl0ms0S5HRIWls5klNGIMqeLIibq2JKKd0N9e8rnkMvSIFIUolCwFftTUF0tirqyJ46uoHueicxXPWy4DOA4xurnld8xh6JVZBmNmJwBuBX6cRejoN3A/c7u678m+eGASqJuB7JcqE8f6NO9iwZfcc4VsFwVNXB+zE9ilu2zY1RzkY8NZXxz9P3WZNQ/3yGHolUkGY2TrgUuCfaJTI2A+cCLwMWB8oj6vd/Xv5N1OI7ihjZBxnqmgXvlkKnjR9bd13gRmzbflQeYQKZ02YInYaiyzFkeSaR13LKl+PPIibQfyLu6+L+OyTQQ0l1boQlaWskXGUCaNJu/DNQvCk6Wv7vu3KoUnV/SC9+G/irnldZ1R5EBnF5O63xx3o7vvdXWnMorKUFSEUFlnVTtbCN01fk4SGQvUdsEkj4NKuO6HIsmN05aQ2sxvd/aqsGyNElpQVIdRqwoiaSWQtfNP0NUn/q+qAbTX9vHBkmOEhY2b22AwoKuchzWygiOemLkEBkTOIYOW3sL8XAW8osI2iRlRplbCikujCaK7h8BdvX15InkaavkbtO2SWaY5H1rQnuB2angGHRQuHM815yPu5qVNyZNwM4gDwCHPLZXjw/4tDjxADTdLRWlGjpypECBUV/ZKmr1H7VlEptBIm7GeOOAuPP47tH35d6DHdzAbyfm6Kqh+WBXEK4t+A17r7o+0fmNlj+TVJ1JUkD36RDsCqhCYWEf2Spq9VuS5pKSrBLe/rU6fkyDgF8RfAIhoVV9v5eC6tEbUmyYNf9Oip/cfeNC1UXRh2QxpFVHbIZjezyKwS3IzGwGTl+rtjlWhe16cqyZFJiIti+mt33xnx2f/Mr0miriSx3RY9eqqTvXdQ6PaedFN3q7WGFjSUQ9OlXdazUFT9sCxQsT6RGUke/KIdxwpZrB7d3pNuCyY2AwbGRkfmrRdRxrOQV+HHPFAtpgEib+dwEttt0Y7jOtl7B4W8EtzyPG/WlG3iS4oUxIBQlHO404NftIO0TvbeQaGse6JnIT2JFYSZLXL3g3k2RuRHWaF1nWraND//wMYduSiLrGYsdUlsqgNlhR/nfd5+fEbSzCDuAl6VV0NEvpQxve40ayliVpPFjEW1ebKlrDDbPM/br8+IeUShrnk7mm139xU5tycV4+PjPjmpclBJWLn+7tQLq3Si04ip0znzaFMe1KWdojzq9oyY2TZ3H++0X6f1IP5T8y2wqOV/3P0femuiKJKsp9dJRkydZi1VchrGUZd2ivLo12ekU5jrmcHfUuCE4LX5v6gRWYfWJQlV7BTSWmatpDTUpZ2iPPr1GYmdQbj79c33ZnaZu38k/yaJvMgytC7JiKnTrKUKtZKSUJd2ivLo12ckjZPaOu8iBoUkIYOdnIJ1qQlUl3aWST9G8KShX5+RNE7ql7v7/Tm3JxVyUpdHuw8CsqsImoWwGXSBVSR5PgsiHzJxUrdSNeVQdfpdQMWNmHrpexbhgv0aclhV6lS+WqRDmdQ5MCgCKsyn0WvfsxA2EljF0q8RPELF+nJhkAvE9dr3LIRNvwmsKq3SF0a/RvCIBDMIM7vc3W/ptE0co98EVBp67XsW9XLqXnOn1UQ3unCYp589zMyRhq8w69loFqbQfo3gEclmENck3CYCyhxRlT3ajOt7krZlUSu/TvX222lfK+HgMzNHlUOTrGajWa2VUafy1SIdkTMIM/st4A3AmJn9j5aPfgE4nHfD6kxZI6oq+D6i+n7ROYsTtS2LcME6hxyGmejCyGI2mqWvpi7lq0U64kxMjwPbgDcFr02eAj7Q6YvN7LPAG4H97v7yYNs64N3AgWC3D7n7HcFn1wBXArPA+9x9S6qeVIiyBFQVnLNRfe/km2jfv9f6Nb0IrDIj0NKY4vI61yCYQkUyIhVEsNzoTjO72d1nuvju/w38FdBes+lT7v7nrRvM7FzgCuA84FTgG2b2MnfvPJSqKGWMqKrygw/r+wc27gjdtzmTqErEV9mzsBeODHNoOv7nltVsNAtfTTfKtN9DwPuJSB+EmX3VzC6N+OwXzewjZvb7Uce7+zeBJxO24zLgi+7+nLs/DDwEXJDwWBFQ5WiSqDYMmVUq4qvsCDSLqFdgRub2/V59Nd34MLRGeL2Ic1K/G/h14EEz+xczu8PM7jazfwP+Dtjm7p/t4pzvNbPvmdlnzWxRsG0MeKxln73BtnmY2VVmNmlmkwcOHAjbZWCpsnM2qm2zEZn8ZZk5yp6FHXomYvbg8PD6S9i69uJI5ZA2QKFX53I3yjTJMWUHWohjxJmY/h34IPBBM1sKLAGmgX9192e6PN/fAn8KePD6CeD3Ca/zFCo53P1G4EZolNrosh19SZWds3G+iTAzx+jCYVauv7vwfpQdItvt+bs1jRW9xnOnY8o28Ym5JMmDeC/wOXff0+vJ3P2Jlu/9NPC14N+9wOktu55Gw0kuUlLlaJKotrVHPQ0PGU8/e5iDwWi6KSQmH3mSex48kKvSKDumv9vzlxGg0I0y63RMFQItxDGS5EG8BJg0s01m9nqzKCtpZ8xsScu/bwaa9Z02A1eY2QlmdiZwNvCdbs/TT/T7dDvMzPG8448Ljf2/+d5Hc7ddlx3T3+35yzCNdWPS7HRM2SY+MZeOMwh3v9bM/hvwOuD3gL8ys03AZ9z9h1HHmdkXgN8ATjazvcB1wG+Y2XIa5qM9wB8E59gVfOf3aeRYvKfOEUxZUZfpdq9RKe0zizPX3h66X7s9Ma+RZdmzsG7OX4ZprBuTZqdjyjbxibkkKtbn7m5m/w78Ow0Bvgi41czudPcPRhzzjpDNn4k5x8eAjyVpz6BQh+l2HkosSkiEMQgjyyQKuCzTWDfKLO6Ysk18Yi4dTUxm9j4z2wZ8HNgKnO/ufwi8Gnhrzu0baOow3c4jLDTMDBFl1+z3kWXSsNCsTGNlmzTLNvGJuSSZQZwMvMXdH2nd6O5HzOyN+TRLQPLpdhmJR81zRo30e1FiYWaIi85ZzG3bpgZuZJl0FpnVIktVMGmWbeITx0jig/hwzGcPZNsc0UqS6XYZP+qwFcTa6XVkHyYkxl96UiVDePMkySwyq2egDiZNUSxaMKjCJHEClvGj7lRQLq+R/SCOLJPMIrN6Bupg0hTFIgVRcToJxTJ+1HHfPTYgI/uiSDKLzOoZUASRaEcKIkeK8A2U8aOOOufY6EjPVVgHhYntU6zbvOtoYb5FC4e57tLz5j0f7bPIF44MY9Yofrhhy27WrFqW2TOgCCLRjpYczYmiipKVUX+pyjWf6sDE9inW3LJzTtXWg8/MsObWnaHPx+oVY2xdezGfevtyfvZcI8O8+UytuWUnF52zOJP7oQgi0Y55RLG0OjA+Pu6Tk5NlNyOUlevvLmyUXWYU0yA5jLMi6tmA+Odj+fVfDy0FPjoyzLo3naf7IRJjZtvcfbzTfjIx5USRvoF2M0QzByFPATGIDuOs6KaYHRC5TsSh6RndD5ELUhA5UYRvoDUXwThWiqKqJTlEg7hMcTmERZWQDyIn8rbTt/o4ILpOkagea1YtY3jB/Nzw4SGLfT4WLRxOtV2IXpGCyIm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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Plotting the electry energy production data (t) on the x-axis against the electry energy production on the previous month (t-1) on y-axis\n",
    "\n",
    "lag_plot(ts_precip)\n",
    "plt.title('Lag Plot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 246,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "          t-1       t+1\nt-1  1.000000  0.794208\nt+1  0.794208  1.000000",
      "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>t-1</th>\n      <th>t+1</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>t-1</th>\n      <td>1.000000</td>\n      <td>0.794208</td>\n    </tr>\n    <tr>\n      <th>t+1</th>\n      <td>0.794208</td>\n      <td>1.000000</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 246
    }
   ],
   "source": [
    "# Month Data Correlation\n",
    "values = pd.DataFrame(ts_precip.values).copy()\n",
    "dataframe = pd.concat([values.shift(1), values], axis=1)\n",
    "dataframe.columns = ['t-1', 't+1']\n",
    "result = dataframe.corr()\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 247,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<AxesSubplot:xlabel='Lag', ylabel='Autocorrelation'>"
     },
     "metadata": {},
     "execution_count": 247
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "pd.plotting.autocorrelation_plot(ts_precip)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 291,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "sm.graphics.tsa.plot_acf(ts_precip.values.squeeze(), lags=12);\n",
    "#pd.plotting.plot_acf(ts_energy, lags=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 266,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<AxesSubplot:>"
     },
     "metadata": {},
     "execution_count": 266
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "sns.distplot(ts_hydro)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 269,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = ts_hydro\n",
    "y = ts_precip"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 272,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split( X, y, test_size=0.3, random_state=42 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "(159,)\n(69,)\n"
    }
   ],
   "source": [
    "print(y_train.shape)\n",
    "print(y_test.shape)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 289,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<AxesSubplot:>"
     },
     "metadata": {},
     "execution_count": 289
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1080x216 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "X_test.plot(figsize=(15,3))\n",
    "X_train.plot(figsize=(15,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}