| Multiple Linear Regression - Estimated Regression Equation |
| Huwelijken[t] = -1673.55606693331 + 0.263089189753331Bevolkingsgroei[t] -0.0106172913357292Geborenen[t] + 392.801077158716Temperatuur[t] -0.645368338285581Neerslag[t] + 5.72015160621913Werkloosheid[t] + 482.845499276914Inflatie[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) | -1673.55606693331 | 1991.140262 | -0.8405 | 0.40323 | 0.201615 |
| Bevolkingsgroei | 0.263089189753331 | 0.062145 | 4.2335 | 6.3e-05 | 3.2e-05 |
| Geborenen | -0.0106172913357292 | 0.099615 | -0.1066 | 0.915396 | 0.457698 |
| Temperatuur | 392.801077158716 | 30.041574 | 13.0752 | 0 | 0 |
| Neerslag | -0.645368338285581 | 0.452723 | -1.4255 | 0.158047 | 0.079023 |
| Werkloosheid | 5.72015160621913 | 3.093241 | 1.8492 | 0.068261 | 0.03413 |
| Inflatie | 482.845499276914 | 320.38452 | 1.5071 | 0.135882 | 0.067941 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.871745448513117 |
| R-squared | 0.759940127003336 |
| Adjusted R-squared | 0.741234162873725 |
| F-TEST (value) | 40.6255524568447 |
| F-TEST (DF numerator) | 6 |
| F-TEST (DF denominator) | 77 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 1443.89767217794 |
| Sum Squared Residuals | 160532717.554508 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 3111 | 3042.17404741643 | 68.8259525835727 |
| 2 | 3995 | 3197.31650187511 | 797.683498124887 |
| 3 | 5245 | 5176.03414030416 | 68.9658596958441 |
| 4 | 5588 | 6021.11770733631 | -433.117707336312 |
| 5 | 10681 | 7397.51594888433 | 3283.48405111567 |
| 6 | 10516 | 9444.9139115416 | 1071.08608845839 |
| 7 | 7496 | 9780.08863221237 | -2284.08863221237 |
| 8 | 9935 | 10873.5678428499 | -938.567842849858 |
| 9 | 10249 | 9090.34890312782 | 1158.65109687218 |
| 10 | 6271 | 5489.16278967138 | 781.837210328616 |
| 11 | 3616 | 5331.68336506455 | -1715.68336506455 |
| 12 | 3724 | 4288.79939345202 | -564.799393452021 |
| 13 | 2886 | 2443.79672952217 | 442.203270477826 |
| 14 | 3318 | 3426.17465867062 | -108.174658670621 |
| 15 | 4166 | 4004.21466678829 | 161.785333211705 |
| 16 | 6401 | 5861.99875886359 | 539.001241136412 |
| 17 | 9209 | 7230.71938743494 | 1978.28061256506 |
| 18 | 9820 | 8546.94459570268 | 1273.05540429732 |
| 19 | 7470 | 8142.92827493672 | -672.928274936722 |
| 20 | 8207 | 9246.04028079745 | -1039.04028079745 |
| 21 | 9564 | 9009.29880926337 | 554.70119073663 |
| 22 | 5309 | 6665.98977580613 | -1356.98977580613 |
| 23 | 3385 | 4532.07617803183 | -1147.07617803183 |
| 24 | 3706 | 4313.98059968196 | -607.980599681963 |
| 25 | 2733 | 3823.2504609153 | -1090.2504609153 |
| 26 | 3045 | 2594.02095807934 | 450.979041920658 |
| 27 | 3449 | 4351.55263307077 | -902.552633070767 |
| 28 | 5542 | 5732.44878782836 | -190.448787828362 |
| 29 | 10072 | 6721.03388617979 | 3350.96611382021 |
| 30 | 9418 | 8506.94777470917 | 911.052225290828 |
| 31 | 7516 | 8415.36791111782 | -899.367911117818 |
| 32 | 7840 | 8531.54191762652 | -691.541917626521 |
| 33 | 10081 | 9563.50989219416 | 517.490107805844 |
| 34 | 4956 | 7241.21501557227 | -2285.21501557227 |
| 35 | 3641 | 4066.3478234923 | -425.347823492304 |
| 36 | 3970 | 3384.17312084045 | 585.826879159546 |
| 37 | 2931 | 2046.52818919096 | 884.471810809035 |
| 38 | 3170 | 2366.91196601555 | 803.088033984453 |
| 39 | 3889 | 2522.01591385612 | 1366.98408614388 |
| 40 | 4850 | 4583.40869767775 | 266.591302322254 |
| 41 | 8037 | 6500.68586587604 | 1536.31413412396 |
| 42 | 12370 | 8145.27561422789 | 4224.72438577211 |
| 43 | 6712 | 10001.2019450426 | -3289.20194504257 |
| 44 | 7297 | 7675.1198481444 | -378.119848144401 |
| 45 | 10613 | 9544.9852273881 | 1068.01477261189 |
| 46 | 5184 | 6389.44243972984 | -1205.44243972984 |
| 47 | 3506 | 3940.66761137263 | -434.667611372631 |
| 48 | 3810 | 4069.43530288549 | -259.435302885494 |
| 49 | 2692 | 3487.28558649729 | -795.28558649729 |
| 50 | 3073 | 4150.7937087924 | -1077.7937087924 |
| 51 | 3713 | 4436.81276751036 | -723.812767510362 |
| 52 | 4555 | 6639.97090021167 | -2084.97090021167 |
| 53 | 7807 | 6642.61697685495 | 1164.38302314505 |
| 54 | 10869 | 8161.85792878968 | 2707.14207121032 |
| 55 | 9682 | 7340.36780882019 | 2341.63219117981 |
| 56 | 7704 | 8435.8122414998 | -731.812241499797 |
| 57 | 9826 | 8116.39487138927 | 1709.60512861073 |
| 58 | 5456 | 5872.1347444735 | -416.134744473498 |
| 59 | 3677 | 3700.31229844708 | -23.3122984470848 |
| 60 | 3431 | 2329.37320529422 | 1101.62679470578 |
| 61 | 2765 | 3892.43977249297 | -1127.43977249297 |
| 62 | 3483 | 4278.15519251866 | -795.155192518663 |
| 63 | 3445 | 3812.85673193696 | -367.856731936956 |
| 64 | 6081 | 5529.22915607541 | 551.770843924589 |
| 65 | 8767 | 8344.92155946276 | 422.07844053724 |
| 66 | 9407 | 9066.16287249454 | 340.83712750546 |
| 67 | 6551 | 9236.76871475977 | -2685.76871475977 |
| 68 | 12480 | 9582.12238285522 | 2897.87761714478 |
| 69 | 9530 | 10084.2714364012 | -554.271436401155 |
| 70 | 5960 | 6807.19944205875 | -847.199442058754 |
| 71 | 3252 | 4518.95974315539 | -1266.95974315539 |
| 72 | 3717 | 3177.03135910754 | 539.968640892457 |
| 73 | 2642 | 1757.80214787432 | 884.197852125678 |
| 74 | 2989 | 3740.47383536903 | -751.473835369028 |
| 75 | 3607 | 5014.49745736459 | -1407.49745736459 |
| 76 | 5366 | 7099.75716598692 | -1733.75716598692 |
| 77 | 8898 | 7851.58958913711 | 1046.41041086289 |
| 78 | 9435 | 8677.32631470726 | 757.673685292735 |
| 79 | 7328 | 9057.293111179 | -1729.29311117901 |
| 80 | 8594 | 10047.7428396999 | -1453.74283969986 |
| 81 | 11349 | 10471.6842089115 | 877.315791088515 |
| 82 | 5797 | 6608.48745884375 | -811.487458843747 |
| 83 | 3621 | 5619.42851020535 | -1998.42851020535 |
| 84 | 3851 | 3036.09125655246 | 814.908743447538 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 10 | 0.101913614951268 | 0.203827229902536 | 0.898086385048732 |
| 11 | 0.0885907577051257 | 0.177181515410251 | 0.911409242294874 |
| 12 | 0.0722796172734551 | 0.14455923454691 | 0.927720382726545 |
| 13 | 0.476097565021549 | 0.952195130043099 | 0.523902434978451 |
| 14 | 0.438694584586728 | 0.877389169173455 | 0.561305415413272 |
| 15 | 0.564524143023877 | 0.870951713952247 | 0.435475856976123 |
| 16 | 0.498399992800726 | 0.996799985601453 | 0.501600007199274 |
| 17 | 0.535814167506613 | 0.928371664986773 | 0.464185832493387 |
| 18 | 0.468514146829519 | 0.937028293659038 | 0.531485853170481 |
| 19 | 0.435931574463868 | 0.871863148927736 | 0.564068425536132 |
| 20 | 0.435955343664194 | 0.871910687328388 | 0.564044656335806 |
| 21 | 0.357708201508279 | 0.715416403016557 | 0.642291798491721 |
| 22 | 0.34368772258065 | 0.6873754451613 | 0.65631227741935 |
| 23 | 0.343504048541365 | 0.68700809708273 | 0.656495951458635 |
| 24 | 0.27620884156194 | 0.552417683123879 | 0.72379115843806 |
| 25 | 0.246826577824641 | 0.493653155649283 | 0.753173422175359 |
| 26 | 0.191677718497554 | 0.383355436995107 | 0.808322281502446 |
| 27 | 0.157040693758596 | 0.314081387517192 | 0.842959306241404 |
| 28 | 0.116641816412797 | 0.233283632825593 | 0.883358183587203 |
| 29 | 0.327849012951222 | 0.655698025902445 | 0.672150987048778 |
| 30 | 0.275693693847509 | 0.551387387695018 | 0.724306306152491 |
| 31 | 0.261203316415361 | 0.522406632830721 | 0.738796683584639 |
| 32 | 0.216414744965706 | 0.432829489931412 | 0.783585255034294 |
| 33 | 0.17214459345734 | 0.344289186914679 | 0.82785540654266 |
| 34 | 0.271966978730623 | 0.543933957461245 | 0.728033021269377 |
| 35 | 0.234460745692797 | 0.468921491385594 | 0.765539254307203 |
| 36 | 0.186448458499177 | 0.372896916998354 | 0.813551541500823 |
| 37 | 0.158903916813858 | 0.317807833627715 | 0.841096083186142 |
| 38 | 0.127905204430351 | 0.255810408860702 | 0.872094795569649 |
| 39 | 0.12899363674965 | 0.2579872734993 | 0.87100636325035 |
| 40 | 0.106725953689889 | 0.213451907379778 | 0.89327404631011 |
| 41 | 0.101804145391268 | 0.203608290782537 | 0.898195854608732 |
| 42 | 0.465369480829318 | 0.930738961658635 | 0.534630519170682 |
| 43 | 0.746004184991224 | 0.507991630017553 | 0.253995815008776 |
| 44 | 0.793005253054967 | 0.413989493890067 | 0.206994746945033 |
| 45 | 0.800517202489343 | 0.398965595021315 | 0.199482797510657 |
| 46 | 0.788585968848949 | 0.422828062302103 | 0.211414031151051 |
| 47 | 0.739181633819402 | 0.521636732361196 | 0.260818366180598 |
| 48 | 0.68946946710237 | 0.621061065795261 | 0.31053053289763 |
| 49 | 0.631704456205118 | 0.736591087589765 | 0.368295543794882 |
| 50 | 0.588121469424169 | 0.823757061151663 | 0.411878530575831 |
| 51 | 0.525315741344099 | 0.949368517311802 | 0.474684258655901 |
| 52 | 0.59207296081503 | 0.81585407836994 | 0.40792703918497 |
| 53 | 0.557396805729808 | 0.885206388540383 | 0.442603194270192 |
| 54 | 0.676808899671785 | 0.64638220065643 | 0.323191100328215 |
| 55 | 0.835234057102072 | 0.329531885795857 | 0.164765942897928 |
| 56 | 0.812305459657525 | 0.37538908068495 | 0.187694540342475 |
| 57 | 0.80357566159113 | 0.392848676817739 | 0.19642433840887 |
| 58 | 0.757489710368307 | 0.485020579263386 | 0.242510289631693 |
| 59 | 0.691519238335876 | 0.616961523328249 | 0.308480761664124 |
| 60 | 0.648774951337826 | 0.702450097324348 | 0.351225048662174 |
| 61 | 0.592234882360542 | 0.815530235278916 | 0.407765117639458 |
| 62 | 0.528623679698641 | 0.942752640602717 | 0.471376320301359 |
| 63 | 0.446264450249171 | 0.892528900498341 | 0.553735549750829 |
| 64 | 0.367403253389659 | 0.734806506779319 | 0.63259674661034 |
| 65 | 0.292544482725871 | 0.585088965451742 | 0.707455517274129 |
| 66 | 0.228901913278958 | 0.457803826557916 | 0.771098086721042 |
| 67 | 0.330849570870295 | 0.66169914174059 | 0.669150429129705 |
| 68 | 0.718822202584917 | 0.562355594830167 | 0.281177797415083 |
| 69 | 0.6296385891861 | 0.7407228216278 | 0.3703614108139 |
| 70 | 0.53567317198801 | 0.92865365602398 | 0.46432682801199 |
| 71 | 0.453407157190684 | 0.906814314381369 | 0.546592842809316 |
| 72 | 0.328858520391883 | 0.657717040783767 | 0.671141479608117 |
| 73 | 0.321245090085025 | 0.64249018017005 | 0.678754909914975 |
| 74 | 0.206107786712349 | 0.412215573424697 | 0.793892213287651 |
| 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 |
