Multiple Linear Regression - Estimated Regression Equation
barrels_purchased[t] = + 8149.91 -222.412unit_price[t] -335.809cpi[t] + 1011.87US_IND_PROD[t] -10790.1dum[t] + 0.250276`barrels_purchased(t-1)`[t] + 0.218761`barrels_purchased(t-2)`[t] + 0.105554`barrels_purchased(t-3)`[t] + 0.310951`barrels_purchased(t-1s)`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)+8150 7178+1.1350e+00 0.2569 0.1285
unit_price-222.4 107.4-2.0710e+00 0.039 0.0195
cpi-335.8 107.4-3.1270e+00 0.001894 0.0009469
US_IND_PROD+1012 268.3+3.7720e+00 0.0001869 9.346e-05
dum-1.079e+04 4733-2.2800e+00 0.02316 0.01158
`barrels_purchased(t-1)`+0.2503 0.04768+5.2500e+00 2.493e-07 1.246e-07
`barrels_purchased(t-2)`+0.2188 0.04743+4.6120e+00 5.383e-06 2.691e-06
`barrels_purchased(t-3)`+0.1056 0.04604+2.2930e+00 0.02239 0.01119
`barrels_purchased(t-1s)`+0.311 0.03877+8.0210e+00 1.201e-14 6.006e-15


Multiple Linear Regression - Regression Statistics
Multiple R 0.9676
R-squared 0.9363
Adjusted R-squared 0.9351
F-TEST (value) 728
F-TEST (DF numerator)8
F-TEST (DF denominator)396
p-value 0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.783e+04
Sum Squared Residuals 1.259e+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 = 1.1124, df1 = 2, df2 = 394, p-value = 0.3298
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 2.2496, df1 = 16, df2 = 380, p-value = 0.003955
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 1.9701, df1 = 2, df2 = 394, p-value = 0.1408


Variance Inflation Factors (Multicollinearity)
> vif
               unit_price                       cpi               US_IND_PROD 
                 2.462918                 30.339124                 33.160690 
                      dum  `barrels_purchased(t-1)`  `barrels_purchased(t-2)` 
                 6.560090                 14.179605                 14.073959 
 `barrels_purchased(t-3)` `barrels_purchased(t-1s)` 
                13.265116                  9.262347