Multiple Linear Regression - Estimated Regression Equation |
barrels_purchased[t] = -31878.5 -133.099unit_price[t] -1019.29cpi[t] + 5433.37US_IND_PROD[t] -15866.4dum[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) | -3.188e+04 | 1.19e+04 | -2.6780e+00 | 0.007709 | 0.003854 |
unit_price | -133.1 | 180.3 | -7.3830e-01 | 0.4608 | 0.2304 |
cpi | -1019 | 155 | -6.5740e+00 | 1.472e-10 | 7.361e-11 |
US_IND_PROD | +5433 | 270.4 | +2.0100e+01 | 3.156e-63 | 1.578e-63 |
dum | -1.587e+04 | 7906 | -2.0070e+00 | 0.04541 | 0.0227 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.9056 |
R-squared | 0.8201 |
Adjusted R-squared | 0.8184 |
F-TEST (value) | 473 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 415 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.032e+04 |
Sum Squared Residuals | 3.816e+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 = 16.652, df1 = 2, df2 = 413, p-value = 1.109e-07 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 22.977, df1 = 8, df2 = 407, 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 = 6.3988, df1 = 2, df2 = 413, p-value = 0.001833 |
Variance Inflation Factors (Multicollinearity) |
> vif unit_price cpi US_IND_PROD dum 2.585966 24.625320 12.273823 6.732657 |