Multiple Linear Regression - Estimated Regression Equation
y[t] = + 1.36941919191919 -0.0599810606060606x[t] + 0.0153472222222228M1[t] + 0.0274368686868686M2[t] + 0.0245265151515151M3[t] + 0.0216161616161616M4[t] + 0.0170391414141414M5[t] + 0.0124621212121212M6[t] + 0.0112184343434343M7[t] + 0.0149747474747475M8[t] + 0.0120643939393939M9[t] + 0.0091540404040404M10[t] + 0.00457702020202021M11[t] + 0.0045770202020202t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.369419191919190.013249103.360600
x-0.05998106060606060.012359-4.85321e-055e-06
M10.01534722222222280.0163040.94130.3504350.175218
M20.02743686868686860.0162511.68830.096730.048365
M30.02452651515151510.0162041.51360.1355590.06778
M40.02161616161616160.0161621.33750.1862830.093142
M50.01703914141414140.0161241.05670.2950090.147505
M60.01246212121212120.0160920.77450.4418090.220905
M70.01121843434343430.0160640.69840.4877410.24387
M80.01497474747474750.0160410.93350.3544240.177212
M90.01206439393939390.0160240.75290.4545470.227273
M100.00915404040404040.0160110.57170.5697110.284855
M110.004577020202020210.0160030.2860.7758950.387948
t0.00457702020202020.00028416.100200


Multiple Linear Regression - Regression Statistics
Multiple R0.946355172757994
R-squared0.895588113005812
Adjusted R-squared0.872185448679529
F-TEST (value)38.2686390113275
F-TEST (DF numerator)13
F-TEST (DF denominator)58
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0277143454598930
Sum Squared Residuals0.0445489267676770


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11.431.389343434343430.0406565656565684
21.431.40601010101010.0239898989898989
31.431.407676767676770.0223232323232322
41.431.409343434343430.0206565656565656
51.431.409343434343430.0206565656565656
61.431.409343434343430.0206565656565655
71.431.412676767676770.0173232323232322
81.431.42101010101010.00898989898989885
91.431.422676767676770.00732323232323219
101.431.424343434343430.00565656565656553
111.431.424343434343430.00565656565656554
121.431.424343434343430.00565656565656553
131.431.44426767676768-0.0142676767676774
141.431.46093434343434-0.0309343434343435
151.431.46260101010101-0.0326010101010102
161.431.46426767676768-0.0342676767676768
171.431.46426767676768-0.0342676767676768
181.431.46426767676768-0.0342676767676768
191.441.46760101010101-0.0276010101010102
201.481.475934343434340.00406565656565652
211.481.477601010101010.00239898989898984
221.481.479267676767680.000732323232323181
231.481.479267676767680.000732323232323176
241.481.479267676767680.000732323232323183
251.481.439210858585860.0407891414141408
261.481.455877525252530.0241224747474747
271.481.457544191919190.0224558080808081
281.481.459210858585860.0207891414141414
291.481.459210858585860.0207891414141414
301.481.459210858585860.0207891414141414
311.481.462544191919190.0174558080808081
321.481.470877525252530.00912247474747473
331.481.472544191919190.00745580808080807
341.481.474210858585860.0057891414141414
351.481.474210858585860.00578914141414141
361.481.474210858585860.00578914141414142
371.481.49413510101010-0.0141351010101016
381.481.51080176767677-0.0308017676767677
391.481.51246843434343-0.0324684343434343
401.481.5141351010101-0.034135101010101
411.481.5141351010101-0.034135101010101
421.481.5141351010101-0.0341351010101010
431.481.51746843434343-0.0374684343434343
441.481.52580176767677-0.0458017676767676
451.481.52746843434343-0.0474684343434343
461.481.5291351010101-0.049135101010101
471.481.5291351010101-0.049135101010101
481.481.5291351010101-0.049135101010101
491.481.54905934343434-0.069059343434344
501.571.565726010101010.00427398989899005
511.581.567392676767680.0126073232323234
521.581.569059343434340.0109406565656567
531.581.569059343434340.0109406565656567
541.581.569059343434340.0109406565656567
551.591.572392676767680.0176073232323234
561.61.580726010101010.0192739898989901
571.61.582392676767680.0176073232323234
581.611.584059343434340.0259406565656567
591.611.584059343434340.0259406565656567
601.611.584059343434340.0259406565656567
611.621.603983585858590.0160164141414137
621.631.620650252525250.00934974747474748
631.631.622316919191920.00768308080808083
641.641.623983585858590.0160164141414142
651.641.623983585858590.0160164141414141
661.641.623983585858590.0160164141414142
671.641.627316919191920.0126830808080808
681.641.635650252525250.00434974747474748
691.651.637316919191920.0126830808080808
701.651.638983585858590.0110164141414142
711.651.638983585858590.0110164141414142
721.651.638983585858590.0110164141414142