{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", "
Enter Password:
\n", " \n", " \n", "
\n", "\n", "show code\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%run ../initscript.py\n", "HTML(\"\"\"\n", "
\n", "
Enter Password:
\n", " \n", " \n", "
\n", "\n", "show code\n", "\"\"\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " show code\n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%run ../../notebooks/loadtsfuncs.py\n", "%matplotlib inline\n", "toggle()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Forecasting with Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Many time series follow a long-term trend except for random variation which can be modeled by regression:\n", "\n", "\\begin{equation*}\n", "Y_t = a + b t + e_t\n", "\\end{equation*}\n", "\n", "**Example**: Monthly US population." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df = pd.read_csv(dataurl+'Regression1.csv', parse_dates=['Month'], header=0, index_col='Month')\n", "plot_time_series(df, 'Population', freq='', title='')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot indicates a clear upward trend with little or no curvature. Therefore, a linear trend is plausible." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: Population R-squared: 0.997
Model: OLS Adj. R-squared: 0.997
Method: Least Squares F-statistic: 2.467e+05
Date: Fri, 17 May 2019 Prob (F-statistic): 0.00
Time: 10:32:44 Log-Likelihood: -7011.3
No. Observations: 756 AIC: 1.403e+04
Df Residuals: 754 BIC: 1.404e+04
Df Model: 1
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept 1.565e+05 188.045 832.084 0.000 1.56e+05 1.57e+05
Time 213.7755 0.430 496.693 0.000 212.931 214.620
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 112.704 Durbin-Watson: 0.000
Prob(Omnibus): 0.000 Jarque-Bera (JB): 67.588
Skew: -0.600 Prob(JB): 2.11e-15
Kurtosis: 2.160 Cond. No. 875.


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: Population R-squared: 0.997\n", "Model: OLS Adj. R-squared: 0.997\n", "Method: Least Squares F-statistic: 2.467e+05\n", "Date: Fri, 17 May 2019 Prob (F-statistic): 0.00\n", "Time: 10:32:44 Log-Likelihood: -7011.3\n", "No. Observations: 756 AIC: 1.403e+04\n", "Df Residuals: 754 BIC: 1.404e+04\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 1.565e+05 188.045 832.084 0.000 1.56e+05 1.57e+05\n", "Time 213.7755 0.430 496.693 0.000 212.931 214.620\n", "==============================================================================\n", "Omnibus: 112.704 Durbin-Watson: 0.000\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 67.588\n", "Skew: -0.600 Prob(JB): 2.11e-15\n", "Kurtosis: 2.160 Cond. No. 875.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "standard error of estimate:2582.62518\n", "\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df = pd.read_csv(dataurl+'Regression1.csv', parse_dates=['Month'], header=0, index_col='Month')\n", "_ = analysis(df, 'Population', ['Time'], printlvl=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The linear fit has a very high R-squared, but is not perfect, as the residual plot indicates.\n", "\n", "**Example**: Quarterly PC device sales." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df_reg = pd.read_csv(dataurl+'Regression2.csv', parse_dates=['Quarter'], header=0)\n", "df_reg['date'] = [pd.to_datetime(''.join(df_reg.Quarter.str.split('-')[i][-1::-1])) \n", " + pd.offsets.QuarterEnd(0) for i in df_reg.index]\n", "df_reg = df_reg.set_index('date')\n", "\n", "plot_time_series(df_reg, 'Sales', freq='', title='')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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QuarterSalesTimelog_sales
date
2010-12-31Q4-2010700.19366.551352
2011-03-31Q1-2011723.98376.584764
2011-06-30Q2-2011821.90386.711619
2011-09-30Q3-2011889.26396.790390
2011-12-31Q4-2011935.33406.840899
\n", "
" ], "text/plain": [ " Quarter Sales Time log_sales\n", "date \n", "2010-12-31 Q4-2010 700.19 36 6.551352\n", "2011-03-31 Q1-2011 723.98 37 6.584764\n", "2011-06-30 Q2-2011 821.90 38 6.711619\n", "2011-09-30 Q3-2011 889.26 39 6.790390\n", "2011-12-31 Q4-2011 935.33 40 6.840899" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_reg['log_sales'] = np.log(df_reg['Sales'])\n", "df_reg[:40].tail()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: log_sales R-squared: 0.980
Model: OLS Adj. R-squared: 0.980
Method: Least Squares F-statistic: 1871.
Date: Fri, 17 May 2019 Prob (F-statistic): 6.24e-34
Time: 10:32:46 Log-Likelihood: 32.394
No. Observations: 40 AIC: -60.79
Df Residuals: 38 BIC: -57.41
Df Model: 1
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept 4.1302 0.036 116.035 0.000 4.058 4.202
Time 0.0654 0.002 43.252 0.000 0.062 0.069
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 0.388 Durbin-Watson: 0.415
Prob(Omnibus): 0.824 Jarque-Bera (JB): 0.062
Skew: -0.090 Prob(JB): 0.969
Kurtosis: 3.071 Cond. No. 48.0


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: log_sales R-squared: 0.980\n", "Model: OLS Adj. R-squared: 0.980\n", "Method: Least Squares F-statistic: 1871.\n", "Date: Fri, 17 May 2019 Prob (F-statistic): 6.24e-34\n", "Time: 10:32:46 Log-Likelihood: 32.394\n", "No. Observations: 40 AIC: -60.79\n", "Df Residuals: 38 BIC: -57.41\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 4.1302 0.036 116.035 0.000 4.058 4.202\n", "Time 0.0654 0.002 43.252 0.000 0.062 0.069\n", "==============================================================================\n", "Omnibus: 0.388 Durbin-Watson: 0.415\n", "Prob(Omnibus): 0.824 Jarque-Bera (JB): 0.062\n", "Skew: -0.090 Prob(JB): 0.969\n", "Kurtosis: 3.071 Cond. No. 48.0\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "standard error of estimate:0.11045\n", "\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "result = analysis(df_reg[:40], 'log_sales', ['Time'], printlvl=4)\n", "df_reg['forecast'] = np.exp(df_reg['Time']*result.params[1] + result.params[0])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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