Multiple Linear Regression - Estimated Regression Equation |
y[t] = -9.34493940380609 + 1.09136281362709x[t] + 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) | -9.34493940380609 | 2.376769 | -3.9318 | 0.000164 | 8.2e-05 |
x | 1.09136281362709 | 0.023936 | 45.595 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.978806779791498 |
R-squared | 0.958062712165803 |
Adjusted R-squared | 0.957601862848944 |
F-TEST (value) | 2078.90665585664 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 91 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.02853187503467 |
Sum Squared Residuals | 96.2668814345723 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 107.89 | 106.928854760024 | 0.96114523997586 |
2 | 107.26 | 106.819718478661 | 0.440281521338944 |
3 | 107.76 | 106.961595644433 | 0.79840435556744 |
4 | 107.32 | 106.470482378300 | 0.849517621699604 |
5 | 107.15 | 106.481396006437 | 0.668603993563355 |
6 | 108.04 | 106.623273172208 | 1.41672682779182 |
7 | 106.52 | 106.099419021667 | 0.420580978332819 |
8 | 106.62 | 106.088505393531 | 0.531494606469105 |
9 | 106.47 | 105.466428589763 | 1.00357141023653 |
10 | 105.46 | 105.411860449082 | 0.0481395509178773 |
11 | 106.13 | 105.259069655174 | 0.870930344825672 |
12 | 105.15 | 104.975315323631 | 0.174684676368731 |
13 | 105.39 | 105.204501514493 | 0.185498485507044 |
14 | 104.57 | 105.531910358581 | -0.961910358581102 |
15 | 104.29 | 105.390033192810 | -1.10003319280956 |
16 | 104.09 | 104.997142579904 | -0.90714257990381 |
17 | 104.51 | 105.018969836176 | -0.50896983617636 |
18 | 103.39 | 104.593338338862 | -1.2033383388618 |
19 | 102.71 | 104.036743303912 | -1.32674330391199 |
20 | 102.62 | 104.080397816457 | -1.46039781645707 |
21 | 101.94 | 103.589284550325 | -1.64928455032488 |
22 | 101.65 | 103.556543665916 | -1.90654366591606 |
23 | 101.86 | 103.578370922189 | -1.71837092218860 |
24 | 101.27 | 103.611111806597 | -2.34111180659742 |
25 | 101.21 | 103.818470741187 | -2.60847074118657 |
26 | 102.15 | 103.687507203551 | -1.5375072035513 |
27 | 102.07 | 103.578370922189 | -1.50837092218861 |
28 | 102.8 | 102.901725977740 | -0.101725977739807 |
29 | 103.39 | 102.563403505515 | 0.82659649448458 |
30 | 102.71 | 102.399699083471 | 0.310300916528643 |
31 | 102.65 | 102.148685636337 | 0.501314363662889 |
32 | 101.12 | 101.439299807480 | -0.319299807479515 |
33 | 100.29 | 100.697173094213 | -0.407173094213087 |
34 | 99.79 | 100.391591506398 | -0.601591506397501 |
35 | 100.11 | 100.751741234894 | -0.641741234894445 |
36 | 99.76 | 100.882704772530 | -1.12270477252969 |
37 | 99.96 | 100.347936993852 | -0.387936993852439 |
38 | 99.98 | 100.271541596899 | -0.291541596898525 |
39 | 100.49 | 100.140578059263 | 0.349421940736722 |
40 | 100.75 | 99.76951470263 | 0.980485297369925 |
41 | 100.84 | 99.8240828433114 | 1.01591715668858 |
42 | 100.44 | 99.3984513459969 | 1.04154865400314 |
43 | 99.57 | 98.8200290547745 | 0.749970945225488 |
44 | 99.22 | 98.6672382608667 | 0.552761739133287 |
45 | 99.08 | 98.2634340198247 | 0.816565980175313 |
46 | 98.04 | 97.9469388038728 | 0.0930611961271679 |
47 | 98.73 | 98.0124205726905 | 0.717579427309538 |
48 | 98.72 | 97.8159752662376 | 0.904024733762416 |
49 | 100.07 | 98.1652113665983 | 1.90478863340173 |
50 | 99.02 | 97.8596297787827 | 1.16037022121732 |
51 | 98.94 | 97.5649618191033 | 1.37503818089665 |
52 | 99 | 97.3576028845142 | 1.64239711548580 |
53 | 98.54 | 97.0520212966986 | 1.48797870330139 |
54 | 98.42 | 97.346689256378 | 1.07331074362206 |
55 | 97.9 | 97.6195299597847 | 0.28047004021529 |
56 | 97.46 | 97.3139483719691 | 0.146051628030864 |
57 | 97 | 96.582735286839 | 0.41726471316102 |
58 | 95.97 | 96.1134492769793 | -0.143449276979326 |
59 | 96.55 | 96.058881136298 | 0.491118863702023 |
60 | 96.51 | 96.1461901613881 | 0.363809838611866 |
61 | 96.76 | 96.2662400708871 | 0.493759929112887 |
62 | 96.05 | 95.9715721112078 | 0.0784278887921881 |
63 | 96.47 | 96.0043129956166 | 0.465687004383376 |
64 | 96.38 | 95.6659905233922 | 0.714009476607772 |
65 | 97.27 | 95.9606584830715 | 1.30934151692846 |
66 | 96.67 | 95.7969540610275 | 0.873045938972523 |
67 | 96.59 | 95.7642131766187 | 0.825786823381338 |
68 | 96.06 | 95.4913724732119 | 0.568627526788109 |
69 | 96.92 | 95.3167544230316 | 1.60324557696844 |
70 | 94.96 | 94.694677619264 | 0.265322380735878 |
71 | 95.59 | 94.9129501819895 | 0.677049818010468 |
72 | 95.68 | 94.7929002724906 | 0.88709972750945 |
73 | 95.35 | 94.9566046945346 | 0.393395305465384 |
74 | 95.41 | 94.6619367348553 | 0.748063265144695 |
75 | 95.32 | 94.6728503629916 | 0.647149637008415 |
76 | 95.8 | 94.7492457599455 | 1.05075424005453 |
77 | 95.46 | 94.5746277097651 | 0.885372290234858 |
78 | 94.16 | 93.919810021589 | 0.240189978411106 |
79 | 92.49 | 93.035806142551 | -0.545806142550952 |
80 | 91.58 | 92.8066199516893 | -1.22661995168925 |
81 | 91.5 | 92.3700748262384 | -0.870074826238425 |
82 | 90.83 | 92.4682974794649 | -1.63829747946487 |
83 | 91.28 | 92.7411381828716 | -1.46113818287164 |
84 | 90.57 | 92.4028157106472 | -1.83281571064725 |
85 | 90.93 | 92.6538291577815 | -1.72382915778145 |
86 | 90.9 | 91.9553569570601 | -1.05535695706012 |
87 | 91.49 | 91.988097841469 | -0.49809784146894 |
88 | 91.38 | 91.7916525350161 | -0.411652535016073 |
89 | 90.91 | 91.4096755502466 | -0.499675550246581 |
90 | 90.72 | 91.1259212187036 | -0.405921218703547 |
91 | 89.53 | 90.9294759122507 | -1.39947591225066 |
92 | 89.47 | 90.5474989274812 | -1.07749892748119 |
93 | 89.28 | 90.176435570848 | -0.896435570847973 |