Multiple Linear Regression - Estimated Regression Equation
y[t] = + 653.651666666666 -130.969444444444x[t] + 16.6013888888889M1[t] + 59.4400000000002M2[t] + 150.578611111111M3[t] + 34.4772222222223M4[t] + 90.5558333333334M5[t] -4.80555555555546M6[t] + 182.273055555556M7[t] -166.328333333333M8[t] + 123.904166666667M9[t] + 177.702777777778M10[t] + 56.301388888889M11[t] + 3.44138888888889t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)653.65166666666658.00500111.268900
x-130.96944444444455.815338-2.34650.0233150.011657
M116.601388888888967.6916790.24530.8073540.403677
M259.440000000000267.5188740.88030.3832480.191624
M3150.57861111111167.3841632.23460.0303410.01517
M434.477222222222367.2877760.51240.6108330.305417
M590.555833333333467.2298781.3470.1845920.092296
M6-4.8055555555554667.210567-0.07150.943310.471655
M7182.27305555555667.2298782.71120.0093940.004697
M8-166.32833333333367.287776-2.47190.0172010.0086
M9123.90416666666767.1526021.84510.0714640.035732
M10177.70277777777867.0558822.65010.0109960.005498
M1156.30138888888966.9977830.84030.4050610.20253
t3.441388888888891.611252.13590.0380470.019023


Multiple Linear Regression - Regression Statistics
Multiple R0.718293703481422
R-squared0.515945844461057
Adjusted R-squared0.379147930939181
F-TEST (value)3.77159147517664
F-TEST (DF numerator)13
F-TEST (DF denominator)46
p-value0.000409954573242888
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation105.902157525704
Sum Squared Residuals515902.280555556


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1544.5673.694444444445-129.194444444445
2619.8719.974444444444-100.174444444444
3777.6814.554444444444-36.9544444444444
4640.4701.894444444445-61.4944444444446
5633761.414444444445-128.414444444445
6722669.49444444444452.5055555555556
7860.1860.0144444444440.0855555555557483
8495.1514.854444444444-19.7544444444444
9692.8808.528333333333-115.728333333333
10766.7865.768333333334-99.0683333333335
11648.5747.808333333333-99.3083333333335
12640694.948333333333-54.9483333333331
13681.6714.991111111111-33.3911111111109
14752.5761.271111111111-8.77111111111105
151031.7855.851111111111175.848888888889
16685.5743.191111111111-57.6911111111111
17887.6802.71111111111184.8888888888889
18655.4710.791111111111-55.3911111111111
19944.2901.31111111111142.8888888888888
20626.6556.15111111111170.4488888888889
211221.8849.825371.975
22939.6907.06532.5350000000001
23886.6789.10597.495
24811.3736.24575.055
25774.7756.28777777777818.4122222222223
26910.6802.567777777778108.032222222222
27911.6897.14777777777814.4522222222223
28697.7784.487777777778-86.7877777777777
29829.8844.007777777778-14.2077777777778
30824.3752.08777777777872.2122222222222
31885.6942.607777777778-57.0077777777778
32538.9597.447777777778-58.5477777777779
33686760.152222222222-74.1522222222223
34878.7817.39222222222261.3077777777779
35812.7699.432222222222113.267777777778
36640.4646.572222222222-6.17222222222214
37773.9666.615107.285
38795.9712.89583.005
39836.3807.47528.825
40876.1694.815181.285
41851.7754.33597.365
42692.4662.41529.985
43877.3852.93524.3649999999999
44536.8507.77529.025
45705.9801.448888888889-95.548888888889
46951858.68888888888992.3111111111111
47755.7740.72888888888914.9711111111112
48695.5687.8688888888897.63111111111121
49744.8707.91166666666736.8883333333334
50672.1754.191666666667-82.0916666666666
51666.6848.771666666667-182.171666666667
52760.8736.11166666666724.6883333333333
53756795.631666666667-39.6316666666667
54604.4703.711666666667-99.3116666666667
55883.9894.231666666667-10.3316666666668
56527.9549.071666666667-21.1716666666667
57756.2842.745555555556-86.5455555555556
58812.9899.985555555556-87.0855555555556
59655.6782.025555555556-126.425555555556
60707.6729.165555555555-21.5655555555554