| Multiple Linear Regression - Estimated Regression Equation |
| Werkloosheid_totaal[t] = -22725.3195881488 + 1.72179344658075`Basisonderwijs(lager_1ste_graad_secundair)`[t] + 0.996983231492192`Secundair_onderwijs(2de,3de,4de_graad)`[t] + 3.39442676216497Duaal_onderwijs[t] + 1.50044345827079`Hoger_onderwijs(Bachelor)`[t] -2.15934016795725Leercontract[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) | -22725.3195881488 | 8210.239365 | -2.7679 | 0.008357 | 0.004178 |
| `Basisonderwijs(lager_1ste_graad_secundair)` | 1.72179344658075 | 0.179701 | 9.5814 | 0 | 0 |
| `Secundair_onderwijs(2de,3de,4de_graad)` | 0.996983231492192 | 0.122614 | 8.1311 | 0 | 0 |
| Duaal_onderwijs | 3.39442676216497 | 0.734016 | 4.6245 | 3.6e-05 | 1.8e-05 |
| `Hoger_onderwijs(Bachelor)` | 1.50044345827079 | 0.098475 | 15.2368 | 0 | 0 |
| Leercontract | -2.15934016795725 | 2.064877 | -1.0457 | 0.301659 | 0.150829 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.999567022967025 |
| R-squared | 0.99913423340316 |
| Adjusted R-squared | 0.999031165951156 |
| F-TEST (value) | 9693.98402666843 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 42 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 1174.7257478348 |
| Sum Squared Residuals | 57959184.4702931 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 575093 | 574968.137976495 | 124.862023505025 |
| 2 | 557560 | 555922.339523067 | 1637.6604769332 |
| 3 | 564478 | 562750.887578809 | 1727.11242119099 |
| 4 | 580523 | 578988.06982841 | 1534.93017159017 |
| 5 | 596594 | 596098.637357717 | 495.362642283161 |
| 6 | 586570 | 586570.18913024 | -0.189130239995937 |
| 7 | 536214 | 536410.511266196 | -196.511266196339 |
| 8 | 523597 | 524178.979385048 | -581.979385047626 |
| 9 | 536535 | 536866.021695509 | -331.021695508542 |
| 10 | 536322 | 537520.217886947 | -1198.21788694685 |
| 11 | 532638 | 534137.941687329 | -1499.9416873287 |
| 12 | 528222 | 529241.998722155 | -1019.99872215484 |
| 13 | 516141 | 516070.987817791 | 70.0121822090153 |
| 14 | 501866 | 502946.219584172 | -1080.21958417155 |
| 15 | 506174 | 506600.805590142 | -426.805590141804 |
| 16 | 517945 | 518591.404097215 | -646.404097214893 |
| 17 | 533590 | 533647.778600502 | -57.7786005024482 |
| 18 | 528379 | 529366.33749078 | -987.337490779591 |
| 19 | 477580 | 476665.292217047 | 914.707782953005 |
| 20 | 469357 | 468370.089518935 | 986.91048106539 |
| 21 | 490243 | 490587.305647269 | -344.30564726874 |
| 22 | 492622 | 493048.363226795 | -426.363226795161 |
| 23 | 507561 | 508506.531500348 | -945.531500347946 |
| 24 | 516922 | 517114.532995672 | -192.532995672256 |
| 25 | 514258 | 513174.89528425 | 1083.10471574999 |
| 26 | 509846 | 508699.307722287 | 1146.69227771325 |
| 27 | 527070 | 525806.967613528 | 1263.03238647232 |
| 28 | 541657 | 540167.843168771 | 1489.15683122936 |
| 29 | 564591 | 564915.393376744 | -324.393376743889 |
| 30 | 555362 | 556432.261316011 | -1070.261316011 |
| 31 | 498662 | 497383.869897052 | 1278.13010294844 |
| 32 | 511038 | 510235.958232224 | 802.041767776094 |
| 33 | 525919 | 526008.876408583 | -89.8764085829295 |
| 34 | 531673 | 531955.707416722 | -282.707416722295 |
| 35 | 548854 | 549369.587617555 | -515.587617555397 |
| 36 | 560576 | 561649.153685635 | -1073.15368563499 |
| 37 | 557274 | 558272.427916188 | -998.427916187989 |
| 38 | 565742 | 566816.562752955 | -1074.56275295489 |
| 39 | 587625 | 587947.891373452 | -322.891373451795 |
| 40 | 619916 | 619919.448572574 | -3.44857257370651 |
| 41 | 625809 | 625792.285695405 | 16.7143045952969 |
| 42 | 619567 | 620626.395553787 | -1059.39555378691 |
| 43 | 572942 | 575069.169253573 | -2127.16925357296 |
| 44 | 572775 | 573694.625604055 | -919.625604055033 |
| 45 | 574205 | 575865.617937203 | -1660.61793720328 |
| 46 | 579799 | 577407.791688612 | 2391.20831138815 |
| 47 | 590072 | 587890.237003222 | 2181.76299677781 |
| 48 | 593408 | 591094.144585026 | 2313.85541497368 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.0168911124453266 | 0.0337822248906532 | 0.983108887554673 |
| 10 | 0.0318403513853413 | 0.0636807027706825 | 0.968159648614659 |
| 11 | 0.0751584152260733 | 0.150316830452147 | 0.924841584773927 |
| 12 | 0.038722857085361 | 0.077445714170722 | 0.961277142914639 |
| 13 | 0.0190423157873991 | 0.0380846315747983 | 0.980957684212601 |
| 14 | 0.0188821392472741 | 0.0377642784945483 | 0.981117860752726 |
| 15 | 0.00835622694524434 | 0.0167124538904887 | 0.991643773054756 |
| 16 | 0.00344985643419087 | 0.00689971286838175 | 0.996550143565809 |
| 17 | 0.00603326881318738 | 0.0120665376263748 | 0.993966731186813 |
| 18 | 0.00253293124889761 | 0.00506586249779522 | 0.997467068751102 |
| 19 | 0.0284076198336614 | 0.0568152396673228 | 0.971592380166339 |
| 20 | 0.0884726627571101 | 0.17694532551422 | 0.91152733724289 |
| 21 | 0.0919660014473687 | 0.183932002894737 | 0.908033998552631 |
| 22 | 0.0650178920820804 | 0.130035784164161 | 0.93498210791792 |
| 23 | 0.0397163298324664 | 0.0794326596649329 | 0.960283670167534 |
| 24 | 0.0333353435062521 | 0.0666706870125042 | 0.966664656493748 |
| 25 | 0.0691650654851361 | 0.138330130970272 | 0.930834934514864 |
| 26 | 0.0882363843650995 | 0.176472768730199 | 0.9117636156349 |
| 27 | 0.107971054924335 | 0.215942109848671 | 0.892028945075665 |
| 28 | 0.163958666601063 | 0.327917333202126 | 0.836041333398937 |
| 29 | 0.192171817944095 | 0.38434363588819 | 0.807828182055905 |
| 30 | 0.824195788325309 | 0.351608423349381 | 0.17580421167469 |
| 31 | 0.987985237849661 | 0.0240295243006786 | 0.0120147621503393 |
| 32 | 0.986902839390021 | 0.0261943212199575 | 0.0130971606099788 |
| 33 | 0.987662292918782 | 0.0246754141624359 | 0.0123377070812179 |
| 34 | 0.999597195655195 | 0.000805608689609582 | 0.000402804344804791 |
| 35 | 0.99875067815788 | 0.00249864368424034 | 0.00124932184212017 |
| 36 | 0.995724858635851 | 0.00855028272829728 | 0.00427514136414864 |
| 37 | 0.995286949343617 | 0.0094261013127659 | 0.00471305065638295 |
| 38 | 0.9936145481435 | 0.0127709037129998 | 0.00638545185649992 |
| 39 | 0.971259741453612 | 0.0574805170927757 | 0.0287402585463878 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 6 | 0.193548387096774 | NOK |
| 5% type I error level | 15 | 0.483870967741935 | NOK |
| 10% type I error level | 21 | 0.67741935483871 | NOK |
