Multiple Linear Regression - Estimated Regression Equation |
barrels_purchased[t] = + 19652.8 -23789.6defl_price[t] -40663.4defl_price1[t] + 0.286981`barrels_purchased(t-1)`[t] + 0.291205`barrels_purchased(t-2)`[t] + 0.13146`barrels_purchased(t-3)`[t] -0.0886844`barrels_purchased(t-4)`[t] + 0.294485`barrels_purchased(t-1s)`[t] + 0.0617598`barrels_purchased(t-2s)`[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) | +1.965e+04 | 4228 | +4.6480e+00 | 4.628e-06 | 2.314e-06 |
defl_price | -2.379e+04 | 8.432e+04 | -2.8220e-01 | 0.778 | 0.389 |
defl_price1 | -4.066e+04 | 8.586e+04 | -4.7360e-01 | 0.6361 | 0.318 |
`barrels_purchased(t-1)` | +0.287 | 0.04882 | +5.8780e+00 | 9.04e-09 | 4.52e-09 |
`barrels_purchased(t-2)` | +0.2912 | 0.05036 | +5.7820e+00 | 1.536e-08 | 7.68e-09 |
`barrels_purchased(t-3)` | +0.1315 | 0.04952 | +2.6550e+00 | 0.00827 | 0.004135 |
`barrels_purchased(t-4)` | -0.08868 | 0.04637 | -1.9130e+00 | 0.05655 | 0.02827 |
`barrels_purchased(t-1s)` | +0.2945 | 0.04623 | +6.3700e+00 | 5.425e-10 | 2.713e-10 |
`barrels_purchased(t-2s)` | +0.06176 | 0.038 | +1.6250e+00 | 0.105 | 0.05248 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.9687 |
R-squared | 0.9383 |
Adjusted R-squared | 0.937 |
F-TEST (value) | 726.2 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 382 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.744e+04 |
Sum Squared Residuals | 1.162e+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 = 0.60232, df1 = 2, df2 = 380, p-value = 0.5481 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 2.7504, df1 = 16, df2 = 366, p-value = 0.000351 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 1.5779, df1 = 2, df2 = 380, p-value = 0.2078 |
Variance Inflation Factors (Multicollinearity) |
> vif defl_price defl_price1 `barrels_purchased(t-1)` 73.056284 74.756342 14.758946 `barrels_purchased(t-2)` `barrels_purchased(t-3)` `barrels_purchased(t-4)` 15.668763 15.186948 13.336240 `barrels_purchased(t-1s)` `barrels_purchased(t-2s)` 12.933237 8.533204 |