Multiple Linear Regression - Estimated Regression Equation
Winst[t] = -207273000 + 46988.6Volume[t] -21088500AverageVix[t] + 17934100HighVix[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-2.073e+08 6.092e+07-3.4020e+00 0.01446 0.007229
Volume+4.699e+04 2.145e+04+2.1910e+00 0.07101 0.03551
AverageVix-2.109e+07 8.962e+06-2.3530e+00 0.05683 0.02841
HighVix+1.793e+07 6.066e+06+2.9570e+00 0.02539 0.0127


Multiple Linear Regression - Regression Statistics
Multiple R 0.9525
R-squared 0.9073
Adjusted R-squared 0.8609
F-TEST (value) 19.57
F-TEST (DF numerator)3
F-TEST (DF denominator)6
p-value 0.001682
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.976e+07
Sum Squared Residuals 2.342e+15


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


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1 4.24e+07 2.415e+07 1.825e+07
2 5.38e+07 7.939e+07-2.559e+07
3 2.132e+08 1.952e+08 1.8e+07
4 3.93e+07 4.597e+07-6.666e+06
5 3.17e+07 2.364e+07 8.058e+06
6 4.67e+07 6.301e+07-1.631e+07
7 4.83e+07 2.858e+07 1.972e+07
8 6.87e+07 8.498e+07-1.628e+07
9 4.88e+07 4.803e+07 7.698e+05
10 6.79e+07 6.785e+07 4.704e+04


Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 15.827, df1 = 2, df2 = 4, p-value = 0.01259
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = NaN, df1 = 6, df2 = 0, p-value = NA
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 12.668, df1 = 2, df2 = 4, p-value = 0.01859


Variance Inflation Factors (Multicollinearity)
> vif
    Volume AverageVix    HighVix 
   4.51819   10.05039   11.53244