Multiple Linear Regression - Estimated Regression Equation |
WLHvrouwen[t] = + 7.83862660944206 + 1.15493562231760x[t] + 0.295171673819742M1[t] + 0.195171673819742M2[t] + 0.0201716738197424M3[t] -0.417328326180258M4[t] -0.542328326180258M5[t] -0.467328326180258M6[t] + 0.532671673819742M7[t] + 0.782671673819742M8[t] + 0.632671673819743M9[t] + 0.493562231759657M10[t] + 1.33118141655746e-16M11[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) | 7.83862660944206 | 0.246876 | 31.7512 | 0 | 0 |
x | 1.15493562231760 | 0.13994 | 8.2531 | 0 | 0 |
M1 | 0.295171673819742 | 0.295846 | 0.9977 | 0.321424 | 0.160712 |
M2 | 0.195171673819742 | 0.295846 | 0.6597 | 0.511337 | 0.255669 |
M3 | 0.0201716738197424 | 0.295846 | 0.0682 | 0.94581 | 0.472905 |
M4 | -0.417328326180258 | 0.295846 | -1.4106 | 0.162232 | 0.081116 |
M5 | -0.542328326180258 | 0.295846 | -1.8331 | 0.070501 | 0.035251 |
M6 | -0.467328326180258 | 0.295846 | -1.5796 | 0.118137 | 0.059069 |
M7 | 0.532671673819742 | 0.295846 | 1.8005 | 0.075551 | 0.037775 |
M8 | 0.782671673819742 | 0.295846 | 2.6455 | 0.009816 | 0.004908 |
M9 | 0.632671673819743 | 0.295846 | 2.1385 | 0.035526 | 0.017763 |
M10 | 0.493562231759657 | 0.30581 | 1.6139 | 0.110476 | 0.055238 |
M11 | 1.33118141655746e-16 | 0.305156 | 0 | 1 | 0.5 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.77358967571846 |
R-squared | 0.598440986378192 |
Adjusted R-squared | 0.53820713433492 |
F-TEST (value) | 9.93529329567498 |
F-TEST (DF numerator) | 12 |
F-TEST (DF denominator) | 80 |
p-value | 1.440192409774e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.57089514926931 |
Sum Squared Residuals | 26.0737017167382 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 8.7 | 8.1337982832618 | 0.566201716738197 |
2 | 8.5 | 8.0337982832618 | 0.466201716738196 |
3 | 8.2 | 7.8587982832618 | 0.341201716738197 |
4 | 8.3 | 7.4212982832618 | 0.878701716738198 |
5 | 8 | 7.2962982832618 | 0.703701716738198 |
6 | 8.1 | 7.3712982832618 | 0.728701716738197 |
7 | 8.7 | 8.3712982832618 | 0.328701716738197 |
8 | 9.3 | 8.6212982832618 | 0.678701716738198 |
9 | 8.9 | 8.4712982832618 | 0.428701716738198 |
10 | 8.8 | 8.33218884120172 | 0.467811158798284 |
11 | 8.4 | 7.83862660944206 | 0.56137339055794 |
12 | 8.4 | 7.83862660944206 | 0.56137339055794 |
13 | 7.3 | 8.1337982832618 | -0.833798283261802 |
14 | 7.2 | 8.0337982832618 | -0.833798283261802 |
15 | 7 | 7.8587982832618 | -0.858798283261803 |
16 | 7 | 7.4212982832618 | -0.421298283261803 |
17 | 6.9 | 7.2962982832618 | -0.396298283261802 |
18 | 6.9 | 7.3712982832618 | -0.471298283261802 |
19 | 7.1 | 8.3712982832618 | -1.27129828326180 |
20 | 7.5 | 8.6212982832618 | -1.12129828326180 |
21 | 7.4 | 8.4712982832618 | -1.07129828326180 |
22 | 8.9 | 8.33218884120172 | 0.567811158798283 |
23 | 8.3 | 8.99356223175966 | -0.693562231759656 |
24 | 8.3 | 8.99356223175966 | -0.693562231759656 |
25 | 9 | 9.2887339055794 | -0.288733905579399 |
26 | 8.9 | 9.1887339055794 | -0.288733905579399 |
27 | 8.8 | 9.0137339055794 | -0.213733905579399 |
28 | 7.8 | 8.5762339055794 | -0.776233905579399 |
29 | 7.8 | 8.4512339055794 | -0.651233905579399 |
30 | 7.8 | 8.5262339055794 | -0.726233905579399 |
31 | 9.2 | 9.5262339055794 | -0.326233905579400 |
32 | 9.3 | 9.7762339055794 | -0.476233905579399 |
33 | 9.2 | 9.6262339055794 | -0.4262339055794 |
34 | 8.6 | 9.48712446351931 | -0.887124463519314 |
35 | 8.5 | 8.99356223175966 | -0.493562231759657 |
36 | 8.5 | 8.99356223175966 | -0.493562231759657 |
37 | 9 | 9.2887339055794 | -0.288733905579399 |
38 | 9 | 9.1887339055794 | -0.188733905579399 |
39 | 8.8 | 9.0137339055794 | -0.213733905579399 |
40 | 8 | 8.5762339055794 | -0.576233905579399 |
41 | 7.9 | 8.4512339055794 | -0.551233905579399 |
42 | 8.1 | 8.5262339055794 | -0.426233905579399 |
43 | 9.3 | 9.5262339055794 | -0.226233905579398 |
44 | 9.4 | 9.7762339055794 | -0.376233905579399 |
45 | 9.4 | 9.6262339055794 | -0.226233905579399 |
46 | 9.3 | 9.48712446351931 | -0.187124463519313 |
47 | 9 | 8.99356223175966 | 0.00643776824034309 |
48 | 9.1 | 8.99356223175966 | 0.106437768240343 |
49 | 9.7 | 9.2887339055794 | 0.4112660944206 |
50 | 9.7 | 9.1887339055794 | 0.5112660944206 |
51 | 9.6 | 9.0137339055794 | 0.5862660944206 |
52 | 8.3 | 8.5762339055794 | -0.276233905579399 |
53 | 8.2 | 8.4512339055794 | -0.2512339055794 |
54 | 8.4 | 8.5262339055794 | -0.126233905579399 |
55 | 10.6 | 9.5262339055794 | 1.0737660944206 |
56 | 10.9 | 9.7762339055794 | 1.1237660944206 |
57 | 10.9 | 9.6262339055794 | 1.2737660944206 |
58 | 9.6 | 9.48712446351931 | 0.112875536480686 |
59 | 9.3 | 8.99356223175966 | 0.306437768240344 |
60 | 9.3 | 8.99356223175966 | 0.306437768240344 |
61 | 9.6 | 9.2887339055794 | 0.311266094420601 |
62 | 9.5 | 9.1887339055794 | 0.311266094420601 |
63 | 9.5 | 9.0137339055794 | 0.486266094420601 |
64 | 9 | 8.5762339055794 | 0.423766094420601 |
65 | 8.9 | 8.4512339055794 | 0.448766094420601 |
66 | 9 | 8.5262339055794 | 0.473766094420601 |
67 | 10.1 | 9.5262339055794 | 0.573766094420601 |
68 | 10.2 | 9.7762339055794 | 0.4237660944206 |
69 | 10.2 | 9.6262339055794 | 0.5737660944206 |
70 | 9.5 | 9.48712446351931 | 0.0128755364806864 |
71 | 9.3 | 8.99356223175966 | 0.306437768240344 |
72 | 9.3 | 8.99356223175966 | 0.306437768240344 |
73 | 9.4 | 9.2887339055794 | 0.111266094420601 |
74 | 9.3 | 9.1887339055794 | 0.111266094420601 |
75 | 9.1 | 9.0137339055794 | 0.0862660944206004 |
76 | 9 | 8.5762339055794 | 0.423766094420601 |
77 | 8.9 | 8.4512339055794 | 0.448766094420601 |
78 | 9 | 8.5262339055794 | 0.473766094420601 |
79 | 9.8 | 9.5262339055794 | 0.273766094420602 |
80 | 10 | 9.7762339055794 | 0.223766094420601 |
81 | 9.8 | 9.6262339055794 | 0.173766094420601 |
82 | 9.4 | 9.48712446351931 | -0.0871244635193132 |
83 | 9 | 8.99356223175966 | 0.00643776824034309 |
84 | 8.9 | 8.99356223175966 | -0.0935622317596566 |
85 | 9.3 | 9.2887339055794 | 0.0112660944206016 |
86 | 9.1 | 9.1887339055794 | -0.0887339055793996 |
87 | 8.8 | 9.0137339055794 | -0.213733905579399 |
88 | 8.9 | 8.5762339055794 | 0.323766094420601 |
89 | 8.7 | 8.4512339055794 | 0.2487660944206 |
90 | 8.6 | 8.5262339055794 | 0.0737660944206005 |
91 | 9.1 | 9.5262339055794 | -0.426233905579399 |
92 | 9.3 | 9.7762339055794 | -0.476233905579399 |
93 | 8.9 | 9.6262339055794 | -0.726233905579399 |