import pandas as pd
df = pd.read_excel('uschange.xlsx')
df.Consumption.plot(legend=True)
df.Income.plot(legend=True)
<Axes: >
![](data:image/png;base64, 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)
from statsmodels.formula.api import ols
ols('Consumption ~ Income', df).fit().summary()
OLS Regression Results
Dep. Variable: | Consumption | R-squared: | 0.159 |
Model: | OLS | Adj. R-squared: | 0.154 |
Method: | Least Squares | F-statistic: | 34.98 |
Date: | Sun, 28 May 2023 | Prob (F-statistic): | 1.58e-08 |
Time: | 11:10:33 | Log-Likelihood: | -169.62 |
No. Observations: | 187 | AIC: | 343.2 |
Df Residuals: | 185 | BIC: | 349.7 |
Df Model: | 1 | | |
Covariance Type: | nonrobust | | |
| coef | std err | t | P>|t| | [0.025 | 0.975] |
Intercept | 0.5451 | 0.056 | 9.789 | 0.000 | 0.435 | 0.655 |
Income | 0.2806 | 0.047 | 5.915 | 0.000 | 0.187 | 0.374 |
Omnibus: | 16.528 | Durbin-Watson: | 1.696 |
Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 29.145 |
Skew: | -0.454 | Prob(JB): | 4.69e-07 |
Kurtosis: | 4.707 | Cond. No. | 2.08 |
Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
m = ols('Consumption ~ Income + Production + Unemployment + Savings', df).fit()
m.summary()
OLS Regression Results
Dep. Variable: | Consumption | R-squared: | 0.754 |
Model: | OLS | Adj. R-squared: | 0.749 |
Method: | Least Squares | F-statistic: | 139.5 |
Date: | Sun, 28 May 2023 | Prob (F-statistic): | 2.62e-54 |
Time: | 11:10:34 | Log-Likelihood: | -54.692 |
No. Observations: | 187 | AIC: | 119.4 |
Df Residuals: | 182 | BIC: | 135.5 |
Df Model: | 4 | | |
Covariance Type: | nonrobust | | |
| coef | std err | t | P>|t| | [0.025 | 0.975] |
Intercept | 0.2673 | 0.037 | 7.184 | 0.000 | 0.194 | 0.341 |
Income | 0.7145 | 0.042 | 16.934 | 0.000 | 0.631 | 0.798 |
Production | 0.0459 | 0.026 | 1.773 | 0.078 | -0.005 | 0.097 |
Unemployment | -0.2048 | 0.106 | -1.941 | 0.054 | -0.413 | 0.003 |
Savings | -0.0453 | 0.003 | -16.287 | 0.000 | -0.051 | -0.040 |
Omnibus: | 18.566 | Durbin-Watson: | 2.169 |
Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 28.796 |
Skew: | 0.564 | Prob(JB): | 5.58e-07 |
Kurtosis: | 4.556 | Cond. No. | 61.9 |
Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
y_pred = m.predict(df)
df.Consumption.plot(legend=True)
y_pred.plot(legend=True, label='prediction')
<Axes: >
![](data:image/png;base64, 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)
import matplotlib.pyplot as plt
import numpy as np
plt.plot(df.Consumption, y_pred, '.')
x = np.array(plt.gca().get_xlim()) # 그림의 양쪽끝 x 좌표
plt.plot(x, x, '--')
[<matplotlib.lines.Line2D at 0x158d851a290>]
![](data:image/png;base64, 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)
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3 -0.070916
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183 -0.037906
184 -0.113017
185 0.128985
186 -0.046047
Length: 187, dtype: float64
0 0.168638
1 -0.184591
2 -0.051472
3 -0.070916
4 0.267760
...
182 -0.109993
183 -0.037906
184 -0.113017
185 0.128985
186 -0.046047
Length: 187, dtype: float64
<Axes: >
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)
from statsmodels.graphics.tsaplots import plot_acf
plot_acf(m.resid);
![](data:image/png;base64, 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)
import pingouin as pg
pg.corr(df.Income, m.resid)
|
n |
r |
CI95% |
p-val |
BF10 |
power |
pearson |
187 |
-1.283695e-15 |
[-0.14, 0.14] |
1.0 |
0.092 |
0.049914 |
|
n |
r |
CI95% |
p-val |
BF10 |
power |
pearson |
187 |
3.885781e-16 |
[-0.14, 0.14] |
1.0 |
0.092 |
0.049914 |
n = len(df)
df['t'] = np.arange(n)
ols('Consumption ~ t', df).fit().summary()
OLS Regression Results
Dep. Variable: | Consumption | R-squared: | 0.025 |
Model: | OLS | Adj. R-squared: | 0.020 |
Method: | Least Squares | F-statistic: | 4.726 |
Date: | Sun, 28 May 2023 | Prob (F-statistic): | 0.0310 |
Time: | 11:12:40 | Log-Likelihood: | -183.46 |
No. Observations: | 187 | AIC: | 370.9 |
Df Residuals: | 185 | BIC: | 377.4 |
Df Model: | 1 | | |
Covariance Type: | nonrobust | | |
| coef | std err | t | P>|t| | [0.025 | 0.975] |
Intercept | 0.9242 | 0.095 | 9.777 | 0.000 | 0.738 | 1.111 |
t | -0.0019 | 0.001 | -2.174 | 0.031 | -0.004 | -0.000 |
Omnibus: | 46.181 | Durbin-Watson: | 1.333 |
Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 115.917 |
Skew: | -1.058 | Prob(JB): | 6.74e-26 |
Kurtosis: | 6.225 | Cond. No. | 214. |
Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
r = (n + 1) // 4
df['season'] = np.tile([1, 2, 3, 4], r)[:187]
ols('Consumption ~ C(season)', df).fit().summary()
OLS Regression Results
Dep. Variable: | Consumption | R-squared: | 0.009 |
Model: | OLS | Adj. R-squared: | -0.007 |
Method: | Least Squares | F-statistic: | 0.5513 |
Date: | Sun, 28 May 2023 | Prob (F-statistic): | 0.648 |
Time: | 11:13:05 | Log-Likelihood: | -184.97 |
No. Observations: | 187 | AIC: | 377.9 |
Df Residuals: | 183 | BIC: | 390.9 |
Df Model: | 3 | | |
Covariance Type: | nonrobust | | |
| coef | std err | t | P>|t| | [0.025 | 0.975] |
Intercept | 0.7356 | 0.096 | 7.667 | 0.000 | 0.546 | 0.925 |
C(season)[T.2] | -0.0296 | 0.136 | -0.218 | 0.828 | -0.297 | 0.238 |
C(season)[T.3] | 0.1143 | 0.136 | 0.842 | 0.401 | -0.153 | 0.382 |
C(season)[T.4] | -0.0424 | 0.136 | -0.311 | 0.756 | -0.312 | 0.227 |
Omnibus: | 29.475 | Durbin-Watson: | 1.283 |
Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 63.812 |
Skew: | -0.718 | Prob(JB): | 1.39e-14 |
Kurtosis: | 5.476 | Cond. No. | 4.78 |
Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.