Multiple Linear Regression - Estimated Regression Equation |
M[t] = + 0.8414664187967 + 0.683065915557792V[t] + 0.221323580627898x[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) | 0.8414664187967 | 0.74177 | 1.1344 | 0.259638 | 0.129819 |
V | 0.683065915557792 | 0.083475 | 8.1828 | 0 | 0 |
x | 0.221323580627898 | 0.343797 | 0.6438 | 0.521366 | 0.260683 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.654525601329131 |
R-squared | 0.428403762795261 |
Adjusted R-squared | 0.415701624190711 |
F-TEST (value) | 33.7269003380117 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 90 |
p-value | 1.17225118501096e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.672625893279218 |
Sum Squared Residuals | 40.71830330787 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 6.4 | 6.78413988414947 | -0.384139884149473 |
2 | 6.3 | 6.64752670103793 | -0.347526701037931 |
3 | 6 | 6.44260692637059 | -0.442606926370593 |
4 | 5.3 | 6.51091351792637 | -1.21091351792637 |
5 | 5.2 | 6.30599374325903 | -1.10599374325903 |
6 | 5.1 | 6.37430033481481 | -1.27430033481481 |
7 | 5.4 | 6.78413988414949 | -1.38413988414949 |
8 | 5.8 | 7.19397943348416 | -1.39397943348416 |
9 | 5.6 | 6.92075306726105 | -1.32075306726105 |
10 | 5.6 | 6.85244647570527 | -1.25244647570527 |
11 | 5.4 | 6.57922010948215 | -1.17922010948215 |
12 | 5.4 | 6.57922010948215 | -1.17922010948215 |
13 | 5.5 | 5.82784760236858 | -0.32784760236858 |
14 | 5.5 | 5.7595410108128 | -0.259541010812801 |
15 | 5.3 | 5.62292782770124 | -0.322927827701243 |
16 | 5.7 | 5.62292782770124 | 0.0770721722987576 |
17 | 5.6 | 5.55462123614546 | 0.0453787638545361 |
18 | 5.5 | 5.55462123614546 | -0.0546212361454636 |
19 | 5.6 | 5.69123441925702 | -0.091234419257022 |
20 | 5.9 | 5.96446078548014 | -0.0644607854801381 |
21 | 6 | 5.89615419392436 | 0.103845806075641 |
22 | 7 | 6.92075306726105 | 0.0792469327389527 |
23 | 6.6 | 6.73223709855427 | -0.132237098554270 |
24 | 6.6 | 6.51091351792637 | 0.0890864820736272 |
25 | 6.3 | 6.98905965881683 | -0.689059658816826 |
26 | 6.3 | 6.92075306726105 | -0.620753067261047 |
27 | 6.3 | 6.85244647570527 | -0.552446475705269 |
28 | 6.3 | 6.16938056014748 | 0.130619439852524 |
29 | 6.2 | 6.16938056014748 | 0.0306194398525243 |
30 | 6.2 | 6.16938056014748 | 0.0306194398525243 |
31 | 6.3 | 7.12567284192838 | -0.825672841928384 |
32 | 6.4 | 7.19397943348416 | -0.793979433484164 |
33 | 6.4 | 7.12567284192838 | -0.725672841928384 |
34 | 7.8 | 6.71583329259371 | 1.08416670740629 |
35 | 7.7 | 6.64752670103793 | 1.05247329896207 |
36 | 7.7 | 6.64752670103793 | 1.05247329896207 |
37 | 7.7 | 6.98905965881683 | 0.710940341183174 |
38 | 7.7 | 6.98905965881683 | 0.710940341183174 |
39 | 7.6 | 6.85244647570527 | 0.747553524294731 |
40 | 7.5 | 6.30599374325903 | 1.19400625674097 |
41 | 7.4 | 6.23768715170326 | 1.16231284829675 |
42 | 7.4 | 6.37430033481481 | 1.02569966518519 |
43 | 7.5 | 7.19397943348416 | 0.306020566515836 |
44 | 7.6 | 7.26228602503994 | 0.337713974960056 |
45 | 7.6 | 7.26228602503994 | 0.337713974960056 |
46 | 8.1 | 7.41530301411206 | 0.684696985887938 |
47 | 7.8 | 6.98905965881683 | 0.810940341183174 |
48 | 8 | 7.0573662503726 | 0.942633749627395 |
49 | 7.9 | 7.46720579970728 | 0.43279420029272 |
50 | 7.9 | 7.46720579970728 | 0.43279420029272 |
51 | 7.8 | 7.3988992081515 | 0.401100791848499 |
52 | 6.7 | 6.51091351792637 | 0.189086482073628 |
53 | 6.6 | 6.44260692637059 | 0.157393073629407 |
54 | 6.6 | 6.57922010948215 | 0.0207798905178482 |
55 | 7.7 | 8.0819651237093 | -0.381965123709293 |
56 | 7.9 | 8.28688489837663 | -0.386884898376630 |
57 | 8 | 8.28688489837663 | -0.286884898376631 |
58 | 7.7 | 7.3988992081515 | 0.301100791848499 |
59 | 7.5 | 7.19397943348416 | 0.306020566515836 |
60 | 7.6 | 7.19397943348416 | 0.406020566515835 |
61 | 7.8 | 7.3988992081515 | 0.401100791848499 |
62 | 7.8 | 7.33059261659572 | 0.469407383404278 |
63 | 7.7 | 7.33059261659572 | 0.369407383404278 |
64 | 7.4 | 6.98905965881683 | 0.410940341183174 |
65 | 7.5 | 6.92075306726105 | 0.579246932738953 |
66 | 7.2 | 6.98905965881683 | 0.210940341183174 |
67 | 7.5 | 7.7404321659304 | -0.240432165930397 |
68 | 7.6 | 7.80873875748618 | -0.208738757486176 |
69 | 7.6 | 7.80873875748618 | -0.208738757486176 |
70 | 7.8 | 7.33059261659572 | 0.469407383404278 |
71 | 7.7 | 7.19397943348416 | 0.506020566515836 |
72 | 7.7 | 7.19397943348416 | 0.506020566515836 |
73 | 8.2 | 7.26228602503994 | 0.937713974960056 |
74 | 8.2 | 7.19397943348416 | 1.00602056651584 |
75 | 8.1 | 7.0573662503726 | 1.04263374962739 |
76 | 7.8 | 6.98905965881683 | 0.810940341183174 |
77 | 7.8 | 6.92075306726105 | 0.879246932738953 |
78 | 7.7 | 6.98905965881683 | 0.710940341183174 |
79 | 6.7 | 7.53551239126306 | -0.83551239126306 |
80 | 6.7 | 7.67212557437462 | -0.972125574374618 |
81 | 6.7 | 7.53551239126306 | -0.83551239126306 |
82 | 7.2 | 7.26228602503994 | -0.062286025039943 |
83 | 6.9 | 7.21038323944472 | -0.310383239444723 |
84 | 6.8 | 6.92075306726105 | -0.120753067261047 |
85 | 7.2 | 7.19397943348416 | 0.00602056651583593 |
86 | 7.1 | 7.0573662503726 | 0.0426337496273944 |
87 | 6.9 | 6.85244647570527 | 0.047553524294732 |
88 | 6.9 | 7.14207664788894 | -0.242076647888944 |
89 | 6.7 | 6.78413988414949 | -0.084139884149488 |
90 | 6.5 | 6.71583329259371 | -0.215833292593709 |
91 | 6.6 | 7.0573662503726 | -0.457366250372606 |
92 | 6.6 | 7.19397943348416 | -0.593979433484165 |
93 | 6.5 | 6.92075306726105 | -0.420753067261047 |