Multiple Linear Regression - Estimated Regression Equation
barrels_purchased[t] = -6894.98 -644.366unit_price[t] + 109889defl_price1[t] + 24133.2dum[t] + 597.488US_IND_PROD[t] -145145defl_price1dum[t] + 0.256361`barrels_purchased(t-1)`[t] + 0.248871`barrels_purchased(t-2)`[t] + 0.182822`barrels_purchased(t-3)`[t] + 0.208868`barrels_purchased(t-1s)`[t] + 3815.37M1[t] -186.403M2[t] -661.025M3[t] -714.16M4[t] -12688.4M5[t] -8040.19M6[t] -14738.3M7[t] -11691.4M8[t] -3075.78M9[t] -24301.5M10[t] -4841.88M11[t] -27.0577t + e[t]
Warning: you did not specify the column number of the endogenous series! The first column was selected by default.


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-6895 1.104e+04-6.2450e-01 0.5326 0.2663
unit_price-644.4 397.2-1.6220e+00 0.1055 0.05277
defl_price1+1.099e+05 7.703e+04+1.4270e+00 0.1545 0.07726
dum+2.413e+04 9150+2.6370e+00 0.008695 0.004348
US_IND_PROD+597.5 299.9+1.9920e+00 0.04703 0.02351
defl_price1dum-1.451e+05 4.531e+04-3.2040e+00 0.001471 0.0007354
`barrels_purchased(t-1)`+0.2564 0.04954+5.1750e+00 3.692e-07 1.846e-07
`barrels_purchased(t-2)`+0.2489 0.04876+5.1040e+00 5.246e-07 2.623e-07
`barrels_purchased(t-3)`+0.1828 0.04852+3.7680e+00 0.0001907 9.536e-05
`barrels_purchased(t-1s)`+0.2089 0.04098+5.0970e+00 5.431e-07 2.716e-07
M1+3815 4390+8.6900e-01 0.3854 0.1927
M2-186.4 4213-4.4240e-02 0.9647 0.4824
M3-661 4218-1.5670e-01 0.8755 0.4378
M4-714.2 4200-1.7000e-01 0.8651 0.4325
M5-1.269e+04 4249-2.9860e+00 0.003004 0.001502
M6-8040 4272-1.8820e+00 0.06061 0.03031
M7-1.474e+04 4130-3.5690e+00 0.0004044 0.0002022
M8-1.169e+04 4262-2.7430e+00 0.006378 0.003189
M9-3076 4110-7.4830e-01 0.4547 0.2274
M10-2.43e+04 4310-5.6380e+00 3.354e-08 1.677e-08
M11-4842 4436-1.0920e+00 0.2757 0.1378
t-27.06 58.88-4.5950e-01 0.6461 0.3231


Multiple Linear Regression - Regression Statistics
Multiple R 0.9739
R-squared 0.9484
Adjusted R-squared 0.9455
F-TEST (value) 334.2
F-TEST (DF numerator)21
F-TEST (DF denominator)382
p-value 0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.631e+04
Sum Squared Residuals 1.016e+11


Menu of Residual Diagnostics
DescriptionLink
HistogramCompute
Central TendencyCompute
QQ PlotCompute
Kernel Density PlotCompute
Skewness/Kurtosis TestCompute
Skewness-Kurtosis PlotCompute
Harrell-Davis PlotCompute
Bootstrap Plot -- Central TendencyCompute
Blocked Bootstrap Plot -- Central TendencyCompute
(Partial) Autocorrelation PlotCompute
Spectral AnalysisCompute
Tukey lambda PPCC PlotCompute
Box-Cox Normality PlotCompute
Summary StatisticsCompute


Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 0.094702, df1 = 2, df2 = 380, p-value = 0.9097
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 0.61226, df1 = 42, df2 = 340, p-value = 0.973
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 0.53392, df1 = 2, df2 = 380, p-value = 0.5867


Variance Inflation Factors (Multicollinearity)
> vif
               unit_price               defl_price1                       dum 
                40.166900                 69.313475                 29.161236 
              US_IND_PROD            defl_price1dum  `barrels_purchased(t-1)` 
                49.312008                 57.704473                 18.159918 
 `barrels_purchased(t-2)`  `barrels_purchased(t-3)` `barrels_purchased(t-1s)` 
                17.637154                 17.495015                 12.292517 
                       M1                        M2                        M3 
                 2.255756                  2.077452                  2.081585 
                       M4                        M5                        M6 
                 2.064527                  2.112393                  2.136109 
                       M7                        M8                        M9 
                 1.995894                  2.126247                  1.924205 
                      M10                       M11                         t 
                 2.116145                  2.240650                 71.598963