| Multiple Linear Regression - Estimated Regression Equation |
| Werkloosheid_totaal[t] = -28076.5841847233 + 1.30945915231219`Basisonderwijs(lager_1ste_graad_secundair)`[t] + 1.0229840449385`Secundair_onderwijs(2de,3de,4de_graad)`[t] -0.294033532280328Duaal_onderwijs[t] + 1.51023525778893`Hoger_onderwijs(Bachelor)`[t] -0.643697757144564Leercontract[t] + 1.347795732592Andere_studies[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) | -28076.5841847233 | 6304.44433 | -4.4535 | 6.4e-05 | 3.2e-05 |
| `Basisonderwijs(lager_1ste_graad_secundair)` | 1.30945915231219 | 0.154738 | 8.4624 | 0 | 0 |
| `Secundair_onderwijs(2de,3de,4de_graad)` | 1.0229840449385 | 0.093196 | 10.9767 | 0 | 0 |
| Duaal_onderwijs | -0.294033532280328 | 0.85865 | -0.3424 | 0.733771 | 0.366886 |
| `Hoger_onderwijs(Bachelor)` | 1.51023525778893 | 0.074777 | 20.1964 | 0 | 0 |
| Leercontract | -0.643697757144564 | 1.590368 | -0.4047 | 0.687767 | 0.343883 |
| Andere_studies | 1.347795732592 | 0.238715 | 5.646 | 1e-06 | 1e-06 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.999756436555928 |
| R-squared | 0.999512932435008 |
| Adjusted R-squared | 0.999441654254765 |
| F-TEST (value) | 14022.70553248 |
| F-TEST (DF numerator) | 6 |
| F-TEST (DF denominator) | 41 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 891.791639726562 |
| Sum Squared Residuals | 32606985.4761338 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 575093 | 574429.911564865 | 663.088435134566 |
| 2 | 557560 | 556723.414838254 | 836.58516174633 |
| 3 | 564478 | 563442.643153719 | 1035.35684628096 |
| 4 | 580523 | 579463.540201563 | 1059.45979843692 |
| 5 | 596594 | 596966.706952788 | -372.706952788003 |
| 6 | 586570 | 587085.546203246 | -515.546203245898 |
| 7 | 536214 | 537206.865088548 | -992.865088547827 |
| 8 | 523597 | 524166.208329503 | -569.208329502561 |
| 9 | 536535 | 537441.368502555 | -906.368502555219 |
| 10 | 536322 | 536937.99089741 | -615.990897410085 |
| 11 | 532638 | 533175.43898803 | -537.438988030468 |
| 12 | 528222 | 528276.703834508 | -54.7038345080675 |
| 13 | 516141 | 515745.552620806 | 395.447379194456 |
| 14 | 501866 | 501860.070792297 | 5.92920770249068 |
| 15 | 506174 | 506041.656748378 | 132.343251621676 |
| 16 | 517945 | 517394.903245437 | 550.09675456274 |
| 17 | 533590 | 534091.525722559 | -501.525722558582 |
| 18 | 528379 | 529135.49983878 | -756.499838779673 |
| 19 | 477580 | 477604.540199344 | -24.5401993440014 |
| 20 | 469357 | 468557.966915885 | 799.033084114611 |
| 21 | 490243 | 490224.410167579 | 18.5898324213042 |
| 22 | 492622 | 492503.309269861 | 118.690730139175 |
| 23 | 507561 | 507712.773274869 | -151.773274868677 |
| 24 | 516922 | 516910.373836998 | 11.6261630016008 |
| 25 | 514258 | 513502.472469891 | 755.527530109288 |
| 26 | 509846 | 509286.007281717 | 559.992718283272 |
| 27 | 527070 | 526722.172395742 | 347.827604257456 |
| 28 | 541657 | 540996.900549357 | 660.099450643191 |
| 29 | 564591 | 565272.779019468 | -681.779019467548 |
| 30 | 555362 | 556314.723983659 | -952.723983659425 |
| 31 | 498662 | 498679.791173329 | -17.7911733289503 |
| 32 | 511038 | 510940.855263838 | 97.1447361623281 |
| 33 | 525919 | 526361.163902599 | -442.163902598578 |
| 34 | 531673 | 532151.316193451 | -478.316193450779 |
| 35 | 548854 | 549055.401712259 | -201.401712258745 |
| 36 | 560576 | 560527.932793657 | 48.0672063429228 |
| 37 | 557274 | 556924.569332113 | 349.430667887084 |
| 38 | 565742 | 565233.908658837 | 508.091341162671 |
| 39 | 587625 | 586982.400937339 | 642.599062660774 |
| 40 | 619916 | 619087.683427324 | 828.316572676025 |
| 41 | 625809 | 625890.3319197 | -81.3319197000604 |
| 42 | 619567 | 620604.637786181 | -1037.63778618137 |
| 43 | 572942 | 574826.908864679 | -1884.90886467943 |
| 44 | 572775 | 574682.343984787 | -1907.34398478724 |
| 45 | 574205 | 575877.838555063 | -1672.83855506299 |
| 46 | 579799 | 578357.370741956 | 1441.62925804381 |
| 47 | 590072 | 588512.197655516 | 1559.80234448441 |
| 48 | 593408 | 591475.370209756 | 1932.62979024411 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 10 | 0.0137546365981823 | 0.0275092731963647 | 0.986245363401818 |
| 11 | 0.00243155929116434 | 0.00486311858232868 | 0.997568440708836 |
| 12 | 0.00132587436332594 | 0.00265174872665187 | 0.998674125636674 |
| 13 | 0.000269676699024116 | 0.000539353398048231 | 0.999730323300976 |
| 14 | 6.1536447367146e-05 | 0.000123072894734292 | 0.999938463552633 |
| 15 | 1.0248445030661e-05 | 2.04968900613219e-05 | 0.999989751554969 |
| 16 | 1.15278926006528e-05 | 2.30557852013056e-05 | 0.999988472107399 |
| 17 | 1.31933575819618e-05 | 2.63867151639236e-05 | 0.999986806642418 |
| 18 | 3.02664483731747e-06 | 6.05328967463494e-06 | 0.999996973355163 |
| 19 | 2.49011263101014e-05 | 4.98022526202029e-05 | 0.99997509887369 |
| 20 | 0.0018880545735115 | 0.00377610914702299 | 0.998111945426489 |
| 21 | 0.0107440866040898 | 0.0214881732081796 | 0.98925591339591 |
| 22 | 0.0108991343203944 | 0.0217982686407889 | 0.989100865679606 |
| 23 | 0.00911300265166335 | 0.0182260053033267 | 0.990886997348337 |
| 24 | 0.00783892542693437 | 0.0156778508538687 | 0.992161074573066 |
| 25 | 0.0172534714173905 | 0.034506942834781 | 0.982746528582609 |
| 26 | 0.0152559305092403 | 0.0305118610184806 | 0.98474406949076 |
| 27 | 0.0118186527309515 | 0.023637305461903 | 0.988181347269048 |
| 28 | 0.00979942592145832 | 0.0195988518429166 | 0.990200574078542 |
| 29 | 0.00875456140129411 | 0.0175091228025882 | 0.991245438598706 |
| 30 | 0.197488415176159 | 0.394976830352318 | 0.802511584823841 |
| 31 | 0.605626382643042 | 0.788747234713916 | 0.394373617356958 |
| 32 | 0.666482752545842 | 0.667034494908315 | 0.333517247454158 |
| 33 | 0.874446175345302 | 0.251107649309397 | 0.125553824654698 |
| 34 | 0.969227527760433 | 0.0615449444791335 | 0.0307724722395667 |
| 35 | 0.949939340062245 | 0.100121319875509 | 0.0500606599377547 |
| 36 | 0.902987098918644 | 0.194025802162713 | 0.0970129010813564 |
| 37 | 0.910773149791344 | 0.178453700417313 | 0.0892268502086563 |
| 38 | 0.913090106536508 | 0.173819786926983 | 0.0869098934634917 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 10 | 0.344827586206897 | NOK |
| 5% type I error level | 20 | 0.689655172413793 | NOK |
| 10% type I error level | 21 | 0.724137931034483 | NOK |
