Multiple Linear Regression - Estimated Regression Equation |
O[t] = + 3905.27517025584 + 106.659856432909T[t] -116.468893797163M1[t] -401.335357997423M2[t] + 94.9648444689857M3[t] + 66.8251426467886M4[t] + 591.405392968894M5[t] + 654.37226210197M6[t] + 49.005797901712M7[t] + 93.8060003681218M8[t] + 630.939536167863M9[t] + 637.349714706424M10[t] + 150.866464200258M11[t] -1.96686913307567t + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | 3905.27517025584 | 118.306429 | 33.0098 | 0 | 0 |
T | 106.659856432909 | 169.753175 | 0.6283 | 0.532259 | 0.266129 |
M1 | -116.468893797163 | 144.770732 | -0.8045 | 0.42439 | 0.212195 |
M2 | -401.335357997423 | 144.620908 | -2.7751 | 0.007415 | 0.003707 |
M3 | 94.9648444689857 | 144.48522 | 0.6573 | 0.513611 | 0.256806 |
M4 | 66.8251426467886 | 182.934671 | 0.3653 | 0.71622 | 0.35811 |
M5 | 591.405392968894 | 222.229422 | 2.6612 | 0.010054 | 0.005027 |
M6 | 654.37226210197 | 222.246216 | 2.9444 | 0.00465 | 0.002325 |
M7 | 49.005797901712 | 222.272298 | 0.2205 | 0.826274 | 0.413137 |
M8 | 93.8060003681218 | 222.307664 | 0.422 | 0.674611 | 0.337305 |
M9 | 630.939536167863 | 222.35231 | 2.8376 | 0.006254 | 0.003127 |
M10 | 637.349714706424 | 201.670609 | 3.1604 | 0.002504 | 0.001252 |
M11 | 150.866464200258 | 143.912497 | 1.0483 | 0.29884 | 0.14942 |
t | -1.96686913307567 | 1.436888 | -1.3688 | 0.176328 | 0.088164 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.853144229923228 |
R-squared | 0.727855077051297 |
Adjusted R-squared | 0.666857077080036 |
F-TEST (value) | 11.9324416766816 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 58 |
p-value | 5.19650988906051e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 249.251332461467 |
Sum Squared Residuals | 3603321.15056138 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 3804 | 3786.83940732559 | 17.1605926744128 |
2 | 3491 | 3500.00607399227 | -9.00607399226925 |
3 | 4151 | 3994.3394073256 | 156.660592674397 |
4 | 4254 | 4070.89269280324 | 183.10730719676 |
5 | 4717 | 4593.50607399227 | 123.493926007730 |
6 | 4866 | 4654.50607399227 | 211.493926007729 |
7 | 4001 | 4047.17274065894 | -46.1727406589373 |
8 | 3758 | 4090.00607399227 | -332.00607399227 |
9 | 4780 | 4625.17274065894 | 154.827259341064 |
10 | 5016 | 4629.61605006442 | 386.383949935578 |
11 | 4296 | 4034.50607399227 | 261.49392600773 |
12 | 4467 | 3881.67274065894 | 585.327259341063 |
13 | 3891 | 3763.2369777287 | 127.763022271301 |
14 | 3872 | 3476.40364439536 | 395.596355604638 |
15 | 3867 | 3970.7369777287 | -103.736977728695 |
16 | 3973 | 4047.29026320633 | -74.2902632063318 |
17 | 4640 | 4569.90364439536 | 70.096355604638 |
18 | 4538 | 4630.90364439536 | -92.903644395362 |
19 | 3836 | 4023.57031106203 | -187.570311062028 |
20 | 3770 | 4066.40364439536 | -296.403644395362 |
21 | 4374 | 4601.57031106203 | -227.570311062029 |
22 | 4497 | 4606.01362046751 | -109.013620467514 |
23 | 3945 | 4010.90364439536 | -65.903644395362 |
24 | 3862 | 3858.07031106203 | 3.9296889379713 |
25 | 3608 | 3739.63454813179 | -131.634548131790 |
26 | 3301 | 3452.80121479845 | -151.801214798454 |
27 | 3882 | 3947.13454813179 | -65.1345481317873 |
28 | 3605 | 3917.02797717651 | -312.027977176514 |
29 | 4305 | 4546.30121479845 | -241.301214798454 |
30 | 4216 | 4607.30121479845 | -391.301214798454 |
31 | 3971 | 3999.96788146512 | -28.9678814651206 |
32 | 3988 | 4042.80121479845 | -54.8012147984541 |
33 | 4317 | 4577.96788146512 | -260.967881465121 |
34 | 4484 | 4582.41119087061 | -98.4111908706055 |
35 | 4247 | 3987.30121479845 | 259.698785201546 |
36 | 3520 | 3834.46788146512 | -314.467881465121 |
37 | 3686 | 3716.03211853488 | -30.0321185348824 |
38 | 3403 | 3429.19878520155 | -26.1987852015461 |
39 | 3990 | 3923.53211853488 | 66.4678814651207 |
40 | 4053 | 3893.42554757961 | 159.574452420394 |
41 | 4548 | 4522.69878520155 | 25.3012147984541 |
42 | 4559 | 4583.69878520155 | -24.698785201546 |
43 | 3922 | 3976.36545186821 | -54.3654518682126 |
44 | 4209 | 4019.19878520155 | 189.801214798454 |
45 | 4517 | 4554.36545186821 | -37.3654518682127 |
46 | 4386 | 4558.8087612737 | -172.808761273697 |
47 | 3221 | 3963.69878520155 | -742.698785201546 |
48 | 3127 | 3810.86545186821 | -683.865451868213 |
49 | 3777 | 3692.42968893797 | 84.5703110620255 |
50 | 3322 | 3405.59635560464 | -83.5963556046381 |
51 | 3899 | 3899.92968893797 | -0.929688937971274 |
52 | 4033 | 3976.48297441561 | 56.5170255843923 |
53 | 4463 | 4499.09635560464 | -36.0963556046379 |
54 | 4819 | 4560.09635560464 | 258.903644395362 |
55 | 4246 | 3952.76302227130 | 293.236977728695 |
56 | 4255 | 3995.59635560464 | 259.403644395362 |
57 | 4760 | 4530.76302227131 | 229.236977728695 |
58 | 4581 | 4428.54647524388 | 152.453524756120 |
59 | 4309 | 3940.09635560464 | 368.903644395362 |
60 | 4016 | 3787.26302227130 | 228.736977728695 |
61 | 3601 | 3668.82725934107 | -67.8272593410664 |
62 | 3257 | 3381.99392600773 | -124.99392600773 |
63 | 3823 | 3876.32725934106 | -53.3272593410632 |
64 | 3940 | 3952.8805448187 | -12.8805448186997 |
65 | 4534 | 4475.49392600773 | 58.5060739922701 |
66 | 4575 | 4536.49392600773 | 38.5060739922701 |
67 | 3953 | 3929.16059267440 | 23.8394073256035 |
68 | 4206 | 3971.99392600773 | 234.00607399227 |
69 | 4649 | 4507.16059267440 | 141.839407325603 |
70 | 4353 | 4511.60390207988 | -158.603902079881 |
71 | 3835 | 3916.49392600773 | -81.4939260077299 |
72 | 3944 | 3763.6605926744 | 180.339407325603 |