Multiple Linear Regression - Estimated Regression Equation
y[t] = + 1.46888888888889 + 0.158333333333333x[t] -0.00861111111111043M1[t] + 0.00805555555555551M2[t] + 0.0097222222222221M3[t] + 0.0113888888888888M4[t] + 0.0113888888888888M5[t] + 0.0113888888888888M6[t] -0.0116666666666667M7[t] -0.00333333333333335M8[t] -0.00166666666666669M9[t] -2.52973055153961e-17M10[t] -2.80432058430936e-17M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.468888888888890.01665988.175500
x0.1583333333333330.01103814.344500
M1-0.008611111111110430.023051-0.37360.7100610.355031
M20.008055555555555510.0230510.34950.727980.36399
M30.00972222222222210.0230510.42180.6747220.337361
M40.01138888888888880.0230510.49410.6230840.311542
M50.01138888888888880.0230510.49410.6230840.311542
M60.01138888888888880.0230510.49410.6230840.311542
M7-0.01166666666666670.022977-0.50780.6135210.306761
M8-0.003333333333333350.022977-0.14510.8851490.442574
M9-0.001666666666666690.022977-0.07250.9424210.47121
M10-2.52973055153961e-170.022977010.5
M11-2.80432058430936e-170.022977010.5


Multiple Linear Regression - Regression Statistics
Multiple R0.883732063449448
R-squared0.78098235996862
Adjusted R-squared0.736436399284271
F-TEST (value)17.5320578559892
F-TEST (DF numerator)12
F-TEST (DF denominator)59
p-value3.21964677141295e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0397976283728749
Sum Squared Residuals0.0934472222222221


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11.431.46027777777777-0.0302777777777746
21.431.47694444444444-0.0469444444444444
31.431.47861111111111-0.0486111111111113
41.431.48027777777778-0.0502777777777778
51.431.48027777777778-0.0502777777777778
61.431.48027777777778-0.0502777777777779
71.431.45722222222222-0.0272222222222222
81.431.46555555555556-0.0355555555555556
91.431.46722222222222-0.0372222222222223
101.431.46888888888889-0.038888888888889
111.431.46888888888889-0.0388888888888889
121.431.46888888888889-0.038888888888889
131.431.46027777777778-0.0302777777777785
141.431.47694444444444-0.0469444444444445
151.431.47861111111111-0.0486111111111111
161.431.48027777777778-0.0502777777777778
171.431.48027777777778-0.0502777777777778
181.431.48027777777778-0.0502777777777778
191.441.45722222222222-0.0172222222222223
201.481.465555555555560.0144444444444444
211.481.467222222222220.0127777777777778
221.481.468888888888890.0111111111111111
231.481.468888888888890.0111111111111111
241.481.468888888888890.0111111111111111
251.481.460277777777780.0197222222222216
261.481.476944444444440.00305555555555556
271.481.478611111111110.00138888888888893
281.481.48027777777778-0.000277777777777761
291.481.48027777777778-0.000277777777777793
301.481.48027777777778-0.000277777777777779
311.481.457222222222220.0227777777777778
321.481.465555555555560.0144444444444444
331.481.467222222222220.0127777777777778
341.481.468888888888890.0111111111111111
351.481.468888888888890.0111111111111111
361.481.468888888888890.0111111111111111
371.481.460277777777780.0197222222222216
381.481.476944444444440.00305555555555556
391.481.478611111111110.00138888888888893
401.481.48027777777778-0.000277777777777761
411.481.48027777777778-0.000277777777777793
421.481.48027777777778-0.000277777777777779
431.481.457222222222220.0227777777777778
441.481.465555555555560.0144444444444444
451.481.467222222222220.0127777777777778
461.481.468888888888890.0111111111111111
471.481.468888888888890.0111111111111111
481.481.468888888888890.0111111111111111
491.481.460277777777780.0197222222222216
501.571.476944444444440.0930555555555557
511.581.478611111111110.101388888888889
521.581.480277777777780.0997222222222223
531.581.480277777777780.0997222222222223
541.581.480277777777780.0997222222222223
551.591.61555555555556-0.0255555555555554
561.61.62388888888889-0.0238888888888888
571.61.62555555555556-0.0255555555555554
581.611.62722222222222-0.0172222222222221
591.611.62722222222222-0.0172222222222221
601.611.62722222222222-0.0172222222222221
611.621.618611111111110.00138888888888840
621.631.63527777777778-0.00527777777777781
631.631.63694444444444-0.00694444444444445
641.641.638611111111110.00138888888888887
651.641.638611111111110.00138888888888884
661.641.638611111111110.00138888888888886
671.641.615555555555560.0244444444444444
681.641.623888888888890.0161111111111111
691.651.625555555555560.0244444444444444
701.651.627222222222220.0227777777777777
711.651.627222222222220.0227777777777778
721.651.627222222222220.0227777777777777