Multiple Linear Regression - Estimated Regression Equation |
barrels_purchased[t] = -51565.9 -380.407unit_price[t] -793.591cpi[t] + 5296.58US_IND_PROD[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | -5.157e+04 | 6770 | -7.6160e+00 | 1.774e-13 | 8.868e-14 |
unit_price | -380.4 | 132.1 | -2.8800e+00 | 0.004177 | 0.002089 |
cpi | -793.6 | 107.1 | -7.4090e+00 | 7.176e-13 | 3.588e-13 |
US_IND_PROD | +5297 | 262.6 | +2.0170e+01 | 1.34e-63 | 6.699e-64 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.9046 |
R-squared | 0.8184 |
Adjusted R-squared | 0.8171 |
F-TEST (value) | 624.8 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 416 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.043e+04 |
Sum Squared Residuals | 3.853e+11 |
Menu of Residual Diagnostics | |
Description | Link |
Histogram | Compute |
Central Tendency | Compute |
QQ Plot | Compute |
Kernel Density Plot | Compute |
Skewness/Kurtosis Test | Compute |
Skewness-Kurtosis Plot | Compute |
Harrell-Davis Plot | Compute |
Bootstrap Plot -- Central Tendency | Compute |
Blocked Bootstrap Plot -- Central Tendency | Compute |
(Partial) Autocorrelation Plot | Compute |
Spectral Analysis | Compute |
Tukey lambda PPCC Plot | Compute |
Box-Cox Normality Plot | Compute |
Summary Statistics | Compute |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 16.461, df1 = 2, df2 = 414, p-value = 1.321e-07 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 28.148, df1 = 6, df2 = 410, p-value < 2.2e-16 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 8.0484, df1 = 2, df2 = 414, p-value = 0.0003723 |
Variance Inflation Factors (Multicollinearity) |
> vif unit_price cpi US_IND_PROD 1.377752 11.669076 11.493779 |