Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 95.6784284873455 -7.95400235432608x[t] -5.2788446985622M1[t] -2.43219961321786M2[t] + 13.2430169006979M3[t] + 0.283090893803073M4[t] + 1.31545026486168M5[t] + 15.1335239216346M6[t] -17.8912595644497M7[t] -16.9017573362482M8[t] + 6.9767314106337M9[t] + 7.35670982931135M10[t] + 2.93668824798901M11[t] + 0.35335491465568t + e[t] |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.890968438460165 |
R-squared | 0.793824758332144 |
Adjusted R-squared | 0.753214483458172 |
F-TEST (value) | 19.5473869801588 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 66 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 6.3186601856846 |
Sum Squared Residuals | 2635.08079178228 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 106.7 | 90.7529387034391 | 15.9470612965609 |
2 | 110.2 | 93.952938703439 | 16.247061296561 |
3 | 125.9 | 109.981510132010 | 15.9184898679896 |
4 | 100.1 | 97.3749390397713 | 2.72506096022871 |
5 | 106.4 | 98.7606533254856 | 7.63934667451443 |
6 | 114.8 | 112.932081896914 | 1.86791810308585 |
7 | 81.3 | 80.2606533254856 | 1.03934667451442 |
8 | 87 | 81.6035104683427 | 5.39648953165728 |
9 | 104.2 | 105.835354129880 | -1.63535412988032 |
10 | 108 | 106.568687463214 | 1.43131253678634 |
11 | 105 | 102.502020796547 | 2.49797920345301 |
12 | 94.5 | 99.9186874632137 | -5.41868746321366 |
13 | 92 | 94.9931976793071 | -2.99319767930713 |
14 | 95.9 | 98.1931976793071 | -2.29319767930714 |
15 | 108.8 | 114.221769107879 | -5.42176910787859 |
16 | 103.4 | 101.615198015639 | 1.78480198436056 |
17 | 102.1 | 103.000912301354 | -0.900912301353738 |
18 | 110.1 | 117.172340872782 | -7.07234087278231 |
19 | 83.2 | 84.5009123013537 | -1.30091230135373 |
20 | 82.7 | 85.8437694442109 | -3.14376944421087 |
21 | 106.8 | 110.075613105748 | -3.27561310574848 |
22 | 113.7 | 110.808946439082 | 2.89105356091819 |
23 | 102.5 | 106.742279772415 | -4.24227977241514 |
24 | 96.6 | 104.158946439082 | -7.55894643908182 |
25 | 92.1 | 99.2334566551753 | -7.1334566551753 |
26 | 95.6 | 102.433456655175 | -6.83345665517532 |
27 | 102.3 | 118.462028083747 | -16.1620280837467 |
28 | 98.6 | 97.9014546371815 | 0.698545362818461 |
29 | 98.2 | 99.2871689228958 | -1.08716892289582 |
30 | 104.5 | 113.458597494324 | -8.9585974943244 |
31 | 84 | 80.7871689228958 | 3.21283107710418 |
32 | 73.8 | 82.130026065753 | -8.33002606575296 |
33 | 103.9 | 106.361869727291 | -2.46186972729056 |
34 | 106 | 107.095203060624 | -1.09520306062389 |
35 | 97.2 | 103.028536393957 | -5.82853639395722 |
36 | 102.6 | 100.445203060624 | 2.15479693937609 |
37 | 89 | 95.5197132767174 | -6.51971327671737 |
38 | 93.8 | 98.7197132767174 | -4.9197132767174 |
39 | 116.7 | 114.748284705289 | 1.95171529471117 |
40 | 106.8 | 102.141713613050 | 4.65828638695031 |
41 | 98.5 | 103.527427898764 | -5.02742789876398 |
42 | 118.7 | 117.698856470193 | 1.00114352980745 |
43 | 90 | 85.027427898764 | 4.97257210123602 |
44 | 91.9 | 86.3702850416211 | 5.52971495837888 |
45 | 113.3 | 110.602128703159 | 2.69787129684127 |
46 | 113.1 | 111.335462036492 | 1.76453796350794 |
47 | 104.1 | 107.268795369825 | -3.16879536982539 |
48 | 108.7 | 104.685462036492 | 4.01453796350794 |
49 | 96.7 | 99.7599722525855 | -3.05997225258553 |
50 | 101 | 102.959972252586 | -1.95997225258556 |
51 | 116.9 | 118.988543681157 | -2.08854368115698 |
52 | 105.8 | 106.381972588918 | -0.581972588917853 |
53 | 99 | 107.767686874632 | -8.76768687463214 |
54 | 129.4 | 121.939115446061 | 7.4608845539393 |
55 | 83 | 89.2676868746321 | -6.26768687463214 |
56 | 88.9 | 90.6105440174893 | -1.71054401748928 |
57 | 115.9 | 114.842387679027 | 1.05761232097312 |
58 | 104.2 | 115.575721012360 | -11.3757210123602 |
59 | 113.4 | 111.509054345694 | 1.89094565430646 |
60 | 112.2 | 108.925721012360 | 3.27427898763978 |
61 | 100.8 | 104.000231228454 | -3.2002312284537 |
62 | 107.3 | 107.200231228454 | 0.0997687715462836 |
63 | 126.6 | 123.228802657025 | 3.37119734297485 |
64 | 102.9 | 110.622231564786 | -7.722231564786 |
65 | 117.9 | 112.007945850500 | 5.89205414949971 |
66 | 128.8 | 126.179374421929 | 2.62062557807114 |
67 | 87.5 | 93.5079458505003 | -6.0079458505003 |
68 | 93.8 | 94.8508029933574 | -1.05080299335745 |
69 | 122.7 | 119.082646654895 | 3.61735334510496 |
70 | 126.2 | 119.815979988228 | 6.38402001177163 |
71 | 124.6 | 115.749313321562 | 8.85068667843829 |
72 | 116.7 | 113.165979988228 | 3.53402001177163 |
73 | 115.2 | 108.240490204322 | 6.95950979567815 |
74 | 111.1 | 111.440490204322 | -0.340490204321879 |
75 | 129.9 | 127.469061632893 | 2.4309383671067 |
76 | 113.3 | 114.862490540654 | -1.56249054065417 |
77 | 118.5 | 116.248204826368 | 2.25179517363155 |
78 | 133.5 | 130.419633397797 | 3.08036660220297 |
79 | 102.1 | 97.7482048263685 | 4.35179517363154 |
80 | 102.4 | 99.0910619692256 | 3.3089380307744 |