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
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-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
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 = 0.60232, 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