Created
July 28, 2020 13:27
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def forecast_accuracy(predictions, test_labels):\n", | |
" forecast = predictions\n", | |
" actual = test_labels\n", | |
" mape = np.mean(np.abs(forecast - actual)/np.abs(actual)) # MAPE\n", | |
" me = np.mean(forecast - actual) # ME\n", | |
" mae = np.mean(np.abs(forecast - actual)) # MAE\n", | |
" mpe = np.mean((forecast - actual)/actual) # MPE\n", | |
" rmse = np.mean((forecast - actual)**2)**.5 # RMSE\n", | |
" corr = np.corrcoef(forecast, actual)[0,1] # corr\n", | |
" mins = np.amin(np.hstack([forecast[:,None], \n", | |
" actual[:,None]]), axis=1)\n", | |
" maxs = np.amax(np.hstack([forecast[:,None], \n", | |
" actual[:,None]]), axis=1)\n", | |
" minmax = 1 - np.mean(mins/maxs) # minmax\n", | |
" r_squared = corr**2\n", | |
"\n", | |
" return({'mape':mape, 'me':me, 'mae': mae, \n", | |
" 'mpe': mpe, 'rmse':rmse, \n", | |
" 'corr':corr,'r_squared':r_squared,\n", | |
" 'minmax':minmax,\n", | |
" })" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"df = pd.read_parquet('part-00000-7b3daec5-7a26-416d-bf2f-17cb73ff37c6-c000.snappy.parquet')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"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>prediction</th>\n", | |
" <th>Itau_close</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>170</th>\n", | |
" <td>27.660904</td>\n", | |
" <td>27.780001</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>171</th>\n", | |
" <td>27.949074</td>\n", | |
" <td>27.070000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>172</th>\n", | |
" <td>27.157893</td>\n", | |
" <td>26.500000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>173</th>\n", | |
" <td>26.460768</td>\n", | |
" <td>26.510000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>174</th>\n", | |
" <td>26.725284</td>\n", | |
" <td>27.610001</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" prediction Itau_close\n", | |
"170 27.660904 27.780001\n", | |
"171 27.949074 27.070000\n", | |
"172 27.157893 26.500000\n", | |
"173 26.460768 26.510000\n", | |
"174 26.725284 27.610001" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df.tail()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The closing price forecast today is: 26.72528398900345\n" | |
] | |
} | |
], | |
"source": [ | |
"print(\"The closing price forecast today is: \", df['prediction'].iloc[-1])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Perfomance" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 1500x700 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(15,7), dpi=100)\n", | |
"plt.plot(df.Itau_close, label='actual',color = 'orange')\n", | |
"plt.plot(df.prediction, label='forecast',color='darkblue')\n", | |
"plt.title('Forecast vs Actuals')\n", | |
"plt.legend(loc='upper left', fontsize=8)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Metrics" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The RMSE is: 0.6104765094774057\n", | |
"The Correlation is: 0.9938932727337767\n", | |
"The R_squared is: 0.9878238375854574\n" | |
] | |
} | |
], | |
"source": [ | |
"Linear_model_perf = forecast_accuracy(df.prediction, df.Itau_close)\n", | |
"print(\"The RMSE is: \", Linear_model_perf['rmse'])\n", | |
"print(\"The Correlation is: \", Linear_model_perf['corr'])\n", | |
"print(\"The R_squared is: \", Linear_model_perf['r_squared'])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"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": "3.7.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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