Multiple Linear Regression - Estimated Regression Equation |
totaal[t] = -182.979537835799 + 121523.779182633jaar[t] + 0.949247856899833vlaams_man[t] + 1.06181457703044vlaams_vrouw[t] + 1.04052668979494waals_man[t] + 0.951487691077562waals_vrouw[t] + 0.944015429707455brussel_man[t] + 1.06350547762047brussel_vrouw[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) | -182.979537835799 | 410.039367 | -0.4462 | 0.65771 | 0.328855 |
jaar | 121523.779182633 | 297238.086379 | 0.4088 | 0.684732 | 0.342366 |
vlaams_man | 0.949247856899833 | 0.073167 | 12.9737 | 0 | 0 |
vlaams_vrouw | 1.06181457703044 | 0.082852 | 12.8157 | 0 | 0 |
waals_man | 1.04052668979494 | 0.061805 | 16.8358 | 0 | 0 |
waals_vrouw | 0.951487691077562 | 0.074839 | 12.7137 | 0 | 0 |
brussel_man | 0.944015429707455 | 0.066831 | 14.1255 | 0 | 0 |
brussel_vrouw | 1.06350547762047 | 0.06125 | 17.3633 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.999998918967823 |
R-squared | 0.999997837936815 |
Adjusted R-squared | 0.999997477592951 |
F-TEST (value) | 2775121.03670975 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 42 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.626362981975182 |
Sum Squared Residuals | 16.4778845779314 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 9190 | 9189.80678747965 | 0.193212520348749 |
2 | 9251 | 9250.8929759528 | 0.107024047200173 |
3 | 9328 | 9328.83327762726 | -0.833277627256444 |
4 | 9428 | 9428.74466862748 | -0.744668627476104 |
5 | 9499 | 9498.78799468155 | 0.212005318449579 |
6 | 9556 | 9555.85019350981 | 0.149806490188848 |
7 | 9606 | 9604.87699918301 | 1.12300081698817 |
8 | 9632 | 9631.06030034394 | 0.939699656064565 |
9 | 9660 | 9660.00592997866 | -0.00592997865459314 |
10 | 9651 | 9651.18230128143 | -0.182301281434822 |
11 | 9695 | 9696.19713987322 | -1.19713987321767 |
12 | 9727 | 9727.25427320046 | -0.254273200464552 |
13 | 9757 | 9757.23062577258 | -0.230625772581267 |
14 | 9788 | 9788.02485290436 | -0.0248529043596578 |
15 | 9813 | 9811.79719967746 | 1.20280032253908 |
16 | 9823 | 9822.85083840651 | 0.149161593486654 |
17 | 9837 | 9836.79351981194 | 0.206480188060833 |
18 | 9842 | 9841.93846714021 | 0.0615328597902657 |
19 | 9855 | 9856.0403972326 | -1.04039723259927 |
20 | 9863 | 9864.13873393986 | -1.13873393985831 |
21 | 9855 | 9854.26663171425 | 0.733368285751476 |
22 | 9858 | 9858.27526716294 | -0.275267162937924 |
23 | 9853 | 9853.38829861344 | -0.388298613440543 |
24 | 9858 | 9857.45027795081 | 0.549722049184736 |
25 | 9859 | 9858.45327630138 | 0.546723698614362 |
26 | 9865 | 9864.38515187909 | 0.614848120911181 |
27 | 9876 | 9876.33572652952 | -0.33572652952084 |
28 | 9928 | 9927.2252729446 | 0.774727055398973 |
29 | 9948 | 9948.23146181687 | -0.231461816874587 |
30 | 9987 | 9988.01209308531 | -1.01209308531383 |
31 | 10022 | 10021.958031398 | 0.0419686019875126 |
32 | 10068 | 10067.9579486617 | 0.0420513382558687 |
33 | 10101 | 10100.8891401717 | 0.110859828263561 |
34 | 10131 | 10130.7716237099 | 0.228376290090589 |
35 | 10143 | 10142.8832101931 | 0.116789806916784 |
36 | 10170 | 10169.852800979 | 0.147199021041021 |
37 | 10192 | 10191.8281192092 | 0.171880790829415 |
38 | 10214 | 10213.8104396055 | 0.189560394467558 |
39 | 10239 | 10239.7854506824 | -0.785450682363405 |
40 | 10263 | 10262.820969024 | 0.179030976016871 |
41 | 10310 | 10309.8018965446 | 0.198103455422551 |
42 | 10355 | 10355.6028994992 | -0.602899499171384 |
43 | 10396 | 10395.8472224176 | 0.152777582396436 |
44 | 10446 | 10445.8773316971 | 0.122668302879144 |
45 | 10511 | 10511.0223304006 | -0.0223304006075853 |
46 | 10585 | 10583.9415038641 | 1.05849613591686 |
47 | 10667 | 10667.0439808004 | -0.0439808003605646 |
48 | 10753 | 10754.076079745 | -1.07607974495746 |
49 | 10840 | 10840.4018448984 | -0.401844898358375 |
50 | 10951 | 10950.4962418757 | 0.503758124347383 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.17933081890022 | 0.35866163780044 | 0.82066918109978 |
12 | 0.282025999402291 | 0.564051998804582 | 0.717974000597709 |
13 | 0.177493260324034 | 0.354986520648069 | 0.822506739675966 |
14 | 0.177615762291566 | 0.355231524583131 | 0.822384237708434 |
15 | 0.228547521859354 | 0.457095043718708 | 0.771452478140646 |
16 | 0.23650001567749 | 0.473000031354981 | 0.76349998432251 |
17 | 0.2107915468238 | 0.421583093647601 | 0.7892084531762 |
18 | 0.237331385176492 | 0.474662770352984 | 0.762668614823508 |
19 | 0.280523913769085 | 0.56104782753817 | 0.719476086230915 |
20 | 0.4123079838327 | 0.8246159676654 | 0.5876920161673 |
21 | 0.542211155126861 | 0.915577689746277 | 0.457788844873139 |
22 | 0.57958371893153 | 0.840832562136939 | 0.42041628106847 |
23 | 0.620832382029805 | 0.758335235940389 | 0.379167617970195 |
24 | 0.536167132405372 | 0.927665735189255 | 0.463832867594628 |
25 | 0.564880390711288 | 0.870239218577425 | 0.435119609288712 |
26 | 0.611630215173319 | 0.776739569653362 | 0.388369784826681 |
27 | 0.801576797511698 | 0.396846404976603 | 0.198423202488302 |
28 | 0.903478849624642 | 0.193042300750716 | 0.0965211503753579 |
29 | 0.926754308412302 | 0.146491383175395 | 0.0732456915876977 |
30 | 0.944317633678594 | 0.111364732642811 | 0.0556823663214057 |
31 | 0.912708003429648 | 0.174583993140703 | 0.0872919965703517 |
32 | 0.859309251747671 | 0.281381496504658 | 0.140690748252329 |
33 | 0.793883811456974 | 0.412232377086052 | 0.206116188543026 |
34 | 0.731383576861371 | 0.537232846277259 | 0.268616423138629 |
35 | 0.759244255334165 | 0.481511489331669 | 0.240755744665835 |
36 | 0.704712925667639 | 0.590574148664721 | 0.295287074332361 |
37 | 0.649072010648196 | 0.701855978703609 | 0.350927989351804 |
38 | 0.545459555100517 | 0.909080889798965 | 0.454540444899482 |
39 | 0.920782742625144 | 0.158434514749711 | 0.0792172573748556 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |