Multiple Linear Regression - Estimated Regression Equation |
Y[t] = + 89.9393085089868 + 0.0538729697220403X[t] + 0.163315226142462t + 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) | 89.9393085089868 | 5.91696 | 15.2003 | 0 | 0 |
X | 0.0538729697220403 | 0.062168 | 0.8666 | 0.389318 | 0.194659 |
t | 0.163315226142462 | 0.01096 | 14.9004 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.991872264789074 |
R-squared | 0.983810589657807 |
Adjusted R-squared | 0.98332000146562 |
F-TEST (value) | 2005.36948366148 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 66 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.450705785203678 |
Sum Squared Residuals | 13.4069565178602 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 95.9 | 95.3239919605894 | 0.576008039410576 |
2 | 96.06 | 95.440976432771 | 0.619023567229067 |
3 | 96.31 | 95.632844332866 | 0.677155667133924 |
4 | 96.34 | 95.8004693965863 | 0.5395306034137 |
5 | 96.49 | 95.996108404562 | 0.493891595438005 |
6 | 96.22 | 96.1114766876518 | 0.108523312348163 |
7 | 96.53 | 96.2796404810693 | 0.25035951893072 |
8 | 96.5 | 96.4203290599285 | 0.079670940071514 |
9 | 96.77 | 96.6218940945736 | 0.148105905426399 |
10 | 96.66 | 96.7717410782855 | -0.111741078285552 |
11 | 96.58 | 96.9372112232169 | -0.357211223216894 |
12 | 96.63 | 97.0692801269206 | -0.439280126920575 |
13 | 97.06 | 97.2880845118767 | -0.228084511876732 |
14 | 97.73 | 97.4761813040913 | 0.253818695908669 |
15 | 98.01 | 97.6632006369115 | 0.34679936308851 |
16 | 97.76 | 97.8545298073094 | -0.0945298073094129 |
17 | 97.49 | 98.0243097898185 | -0.53430978981853 |
18 | 97.77 | 98.2124065820331 | -0.442406582033129 |
19 | 97.96 | 98.3724894299923 | -0.412489429992271 |
20 | 98.23 | 98.5401144937125 | -0.310114493712486 |
21 | 98.51 | 98.759996338063 | -0.249996338063089 |
22 | 98.19 | 98.8505830550808 | -0.660583055080804 |
23 | 98.37 | 99.0144370109205 | -0.64443701092048 |
24 | 98.31 | 99.1405798879547 | -0.830579887954736 |
25 | 98.6 | 99.3599230026081 | -0.759923002608128 |
26 | 98.97 | 99.5307804445117 | -0.560780444511671 |
27 | 99.11 | 99.7129512100568 | -0.602951210056846 |
28 | 99.64 | 99.9231359198575 | -0.283135919857482 |
29 | 100.03 | 100.108000333889 | -0.07800033388876 |
30 | 99.98 | 100.266466992756 | -0.286466992756235 |
31 | 100.32 | 100.415775246771 | -0.0957752467709772 |
32 | 100.44 | 100.551615258355 | -0.111615258355194 |
33 | 100.51 | 100.713853025103 | -0.203853025103208 |
34 | 101 | 100.866393657301 | 0.133606342698733 |
35 | 100.88 | 101.048564422846 | -0.168564422846448 |
36 | 100.55 | 101.194640298678 | -0.644640298677855 |
37 | 100.83 | 101.384892009681 | -0.554892009681336 |
38 | 101.51 | 101.592921800693 | -0.0829218006930849 |
39 | 102.16 | 101.838662670510 | 0.321337329489723 |
40 | 102.39 | 102.005210274836 | 0.384789725163943 |
41 | 102.54 | 102.205159120390 | 0.334840879610499 |
42 | 102.85 | 102.336689294396 | 0.513310705604029 |
43 | 103.47 | 102.460677252641 | 1.00932274735866 |
44 | 103.57 | 102.628302316362 | 0.94169768363843 |
45 | 103.69 | 102.740976950965 | 0.949023049034691 |
46 | 103.5 | 102.907524555291 | 0.592475444708908 |
47 | 103.47 | 103.102624833570 | 0.367375166430441 |
48 | 103.45 | 103.254626736070 | 0.195373263929612 |
49 | 103.48 | 103.433565123432 | 0.0464348765677601 |
50 | 103.93 | 103.633513968986 | 0.296486031014313 |
51 | 103.89 | 103.801677762403 | 0.0883222375968617 |
52 | 104.4 | 104.001626607957 | 0.398373392043417 |
53 | 104.79 | 104.225279560188 | 0.56472043981227 |
54 | 104.77 | 104.365968139047 | 0.404031860953055 |
55 | 105.13 | 104.540057959134 | 0.589942040866185 |
56 | 105.26 | 104.718457616798 | 0.541542383201561 |
57 | 104.96 | 104.925948678113 | 0.0340513218870146 |
58 | 104.75 | 105.076334391522 | -0.326334391522152 |
59 | 105.01 | 105.292445127992 | -0.282445127992208 |
60 | 105.15 | 105.419665464421 | -0.269665464420902 |
61 | 105.2 | 105.637392389983 | -0.437392389982628 |
62 | 105.77 | 105.808788561583 | -0.0387885615834027 |
63 | 105.78 | 105.966716490754 | -0.186716490753655 |
64 | 106.26 | 106.211918630874 | 0.0480813691263848 |
65 | 106.13 | 106.327286913963 | -0.197286913963471 |
66 | 106.12 | 106.499760544959 | -0.37976054495867 |
67 | 106.57 | 106.686779877779 | -0.116779877778842 |
68 | 106.44 | 106.823158619060 | -0.383158619060279 |
69 | 106.54 | 107.020413816128 | -0.480413816127617 |