Multiple Linear Regression - Estimated Regression Equation |
WLHvrouwen[t] = + 7.78274496865721 + 0.820381062355658x[t] + 0.295018489497414M1[t] + 0.187880100076984M2[t] + 0.00574171065655037M3[t] -0.438896678763882M4[t] -0.571035068184316M5[t] -0.503173457604751M6[t] + 0.489688152974816M7[t] + 0.732549763554384M8[t] + 0.575411374133950M9[t] + 0.460045502034533M10[t] + 0.0071383894204342M11[t] + 0.0071383894204333t + 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) | 7.78274496865721 | 0.242362 | 32.112 | 0 | 0 |
x | 0.820381062355658 | 0.20357 | 4.03 | 0.000128 | 6.4e-05 |
M1 | 0.295018489497414 | 0.288862 | 1.0213 | 0.310224 | 0.155112 |
M2 | 0.187880100076984 | 0.288881 | 0.6504 | 0.517339 | 0.258669 |
M3 | 0.00574171065655037 | 0.288936 | 0.0199 | 0.984196 | 0.492098 |
M4 | -0.438896678763882 | 0.289026 | -1.5185 | 0.132871 | 0.066436 |
M5 | -0.571035068184316 | 0.289152 | -1.9749 | 0.051778 | 0.025889 |
M6 | -0.503173457604751 | 0.289314 | -1.7392 | 0.085896 | 0.042948 |
M7 | 0.489688152974816 | 0.289512 | 1.6914 | 0.094697 | 0.047349 |
M8 | 0.732549763554384 | 0.289746 | 2.5283 | 0.013456 | 0.006728 |
M9 | 0.575411374133950 | 0.290015 | 1.9841 | 0.05072 | 0.02536 |
M10 | 0.460045502034533 | 0.298973 | 1.5388 | 0.127861 | 0.063931 |
M11 | 0.0071383894204342 | 0.29797 | 0.024 | 0.980948 | 0.490474 |
t | 0.0071383894204333 | 0.00322 | 2.2171 | 0.029494 | 0.014747 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.788645798693523 |
R-squared | 0.621962195796944 |
Adjusted R-squared | 0.559753443206568 |
F-TEST (value) | 9.99798533001226 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 79 |
p-value | 5.30164800949251e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.557417664560849 |
Sum Squared Residuals | 24.5464417683932 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 8.7 | 8.08490184757508 | 0.615098152424921 |
2 | 8.5 | 7.98490184757505 | 0.515098152424946 |
3 | 8.2 | 7.80990184757506 | 0.390098152424942 |
4 | 8.3 | 7.37240184757506 | 0.927598152424945 |
5 | 8 | 7.24740184757506 | 0.752598152424943 |
6 | 8.1 | 7.32240184757506 | 0.777598152424941 |
7 | 8.7 | 8.32240184757506 | 0.37759815242494 |
8 | 9.3 | 8.57240184757505 | 0.727598152424946 |
9 | 8.9 | 8.42240184757506 | 0.477598152424943 |
10 | 8.8 | 8.31417436489607 | 0.485825635103928 |
11 | 8.4 | 7.86840564170241 | 0.531594358297592 |
12 | 8.4 | 7.8684056417024 | 0.531594358297594 |
13 | 7.3 | 8.17056252062025 | -0.870562520620254 |
14 | 7.2 | 8.07056252062026 | -0.870562520620258 |
15 | 7 | 7.89556252062026 | -0.895562520620256 |
16 | 7 | 7.45806252062026 | -0.458062520620257 |
17 | 6.9 | 7.33306252062026 | -0.433062520620256 |
18 | 6.9 | 7.40806252062026 | -0.508062520620256 |
19 | 7.1 | 8.40806252062026 | -1.30806252062026 |
20 | 7.5 | 8.65806252062026 | -1.15806252062026 |
21 | 7.4 | 8.50806252062026 | -1.10806252062026 |
22 | 8.9 | 8.39983503794127 | 0.500164962058728 |
23 | 8.3 | 8.77444737710327 | -0.474447377103266 |
24 | 8.3 | 8.77444737710326 | -0.474447377103265 |
25 | 9 | 9.07660425602111 | -0.0766042560211122 |
26 | 8.9 | 8.97660425602112 | -0.0766042560211162 |
27 | 8.8 | 8.80160425602111 | -0.00160425602111462 |
28 | 7.8 | 8.36410425602112 | -0.564104256021116 |
29 | 7.8 | 8.23910425602111 | -0.439104256021115 |
30 | 7.8 | 8.31410425602112 | -0.514104256021115 |
31 | 9.2 | 9.31410425602111 | -0.114104256021115 |
32 | 9.3 | 9.56410425602112 | -0.264104256021115 |
33 | 9.2 | 9.41410425602112 | -0.214104256021116 |
34 | 8.6 | 9.30587677334213 | -0.705876773342132 |
35 | 8.5 | 8.86010805014847 | -0.360108050148466 |
36 | 8.5 | 8.86010805014847 | -0.360108050148465 |
37 | 9 | 9.16226492906631 | -0.162264929066312 |
38 | 9 | 9.06226492906632 | -0.0622649290663162 |
39 | 8.8 | 8.88726492906632 | -0.0872649290663143 |
40 | 8 | 8.44976492906632 | -0.449764929066315 |
41 | 7.9 | 8.32476492906632 | -0.424764929066314 |
42 | 8.1 | 8.39976492906631 | -0.299764929066315 |
43 | 9.3 | 9.39976492906631 | -0.0997649290663137 |
44 | 9.4 | 9.64976492906631 | -0.249764929066315 |
45 | 9.4 | 9.49976492906631 | -0.0997649290663147 |
46 | 9.3 | 9.39153744638733 | -0.0915374463873306 |
47 | 9 | 8.94576872319367 | 0.0542312768063343 |
48 | 9.1 | 8.94576872319366 | 0.154231276806335 |
49 | 9.7 | 9.24792560211151 | 0.452074397888488 |
50 | 9.7 | 9.14792560211152 | 0.552074397888483 |
51 | 9.6 | 8.97292560211151 | 0.627074397888485 |
52 | 8.3 | 8.53542560211151 | -0.235425602111514 |
53 | 8.2 | 8.41042560211151 | -0.210425602111515 |
54 | 8.4 | 8.48542560211151 | -0.0854256021115142 |
55 | 10.6 | 9.48542560211151 | 1.11457439788849 |
56 | 10.9 | 9.73542560211152 | 1.16457439788848 |
57 | 10.9 | 9.58542560211152 | 1.31457439788849 |
58 | 9.6 | 9.47719811943253 | 0.122801880567469 |
59 | 9.3 | 9.03142939623886 | 0.268570603761135 |
60 | 9.3 | 9.03142939623886 | 0.268570603761137 |
61 | 9.6 | 9.33358627515671 | 0.266413724843288 |
62 | 9.5 | 9.23358627515672 | 0.266413724843284 |
63 | 9.5 | 9.05858627515672 | 0.441413724843285 |
64 | 9 | 8.62108627515672 | 0.378913724843285 |
65 | 8.9 | 8.49608627515671 | 0.403913724843286 |
66 | 9 | 8.57108627515671 | 0.428913724843286 |
67 | 10.1 | 9.57108627515671 | 0.528913724843286 |
68 | 10.2 | 9.82108627515671 | 0.378913724843284 |
69 | 10.2 | 9.67108627515671 | 0.528913724843285 |
70 | 9.5 | 9.56285879247773 | -0.0628587924777308 |
71 | 9.3 | 9.11709006928407 | 0.182909930715936 |
72 | 9.3 | 9.11709006928406 | 0.182909930715937 |
73 | 9.4 | 9.4192469482019 | -0.0192469482019105 |
74 | 9.3 | 9.31924694820191 | -0.0192469482019145 |
75 | 9.1 | 9.14424694820191 | -0.0442469482019143 |
76 | 9 | 8.70674694820191 | 0.293253051798086 |
77 | 8.9 | 8.58174694820191 | 0.318253051798087 |
78 | 9 | 8.65674694820191 | 0.343253051798086 |
79 | 9.8 | 9.65674694820191 | 0.143253051798087 |
80 | 10 | 9.90674694820192 | 0.0932530517980854 |
81 | 9.8 | 9.75674694820191 | 0.0432530517980865 |
82 | 9.4 | 9.64851946552293 | -0.24851946552293 |
83 | 9 | 9.20275074232926 | -0.202750742329265 |
84 | 8.9 | 9.20275074232926 | -0.302750742329263 |
85 | 9.3 | 9.50490762124711 | -0.20490762124711 |
86 | 9.1 | 9.40490762124712 | -0.304907621247115 |
87 | 8.8 | 9.22990762124711 | -0.429907621247113 |
88 | 8.9 | 8.79240762124711 | 0.107592378752886 |
89 | 8.7 | 8.66740762124711 | 0.0325923787528858 |
90 | 8.6 | 8.74240762124711 | -0.142407621247114 |
91 | 9.1 | 9.74240762124711 | -0.642407621247113 |
92 | 9.3 | 9.99240762124711 | -0.692407621247114 |
93 | 8.9 | 9.84240762124711 | -0.942407621247114 |