| Multiple Linear Regression - Estimated Regression Equation |
| huwelijken[t] = -8.06040832663057 + 1.18849990912292geboortes[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) | -8.06040832663057 | 2.919378 | -2.761 | 0.00693 | 0.003465 |
| geboortes | 1.18849990912292 | 0.296986 | 4.0019 | 0.000125 | 6.3e-05 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.381537512253697 |
| R-squared | 0.14557087325674 |
| Adjusted R-squared | 0.136481201695641 |
| F-TEST (value) | 16.0149761493855 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 94 |
| p-value | 0.00012532493577333 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 1.48456585486723 |
| Sum Squared Residuals | 207.169963079142 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1.579 | 3.55004728559125 | -1.97104728559125 |
| 2 | 2.146 | 3.01759932630420 | -0.871599326304203 |
| 3 | 2.462 | 3.75209227014217 | -1.29009227014217 |
| 4 | 3.695 | 3.03542682494105 | 0.659573175058952 |
| 5 | 4.831 | 4.05634824687764 | 0.774651753122361 |
| 6 | 5.134 | 3.18755481330878 | 1.94644518669122 |
| 7 | 6.25 | 3.8364757636899 | 2.4135242363101 |
| 8 | 5.76 | 4.07774124524185 | 1.68225875475815 |
| 9 | 6.249 | 3.30521630431195 | 2.94378369568805 |
| 10 | 2.917 | 3.69385577459515 | -0.776855774595149 |
| 11 | 1.741 | 2.99858332775824 | -1.25758332775824 |
| 12 | 2.359 | 3.10079431994281 | -0.741794319942809 |
| 13 | 1.511 | 3.73901877114182 | -2.22801877114182 |
| 14 | 2.059 | 2.26290188401115 | -0.203901884011147 |
| 15 | 2.635 | 3.63799627886637 | -1.00299627886637 |
| 16 | 2.867 | 3.38128029849582 | -0.514280298495819 |
| 17 | 4.403 | 3.91253975787377 | 0.490460242126234 |
| 18 | 5.72 | 3.23390630976458 | 2.48609369023542 |
| 19 | 4.502 | 3.9660222537843 | 0.535977746215703 |
| 20 | 5.749 | 3.82459076459867 | 1.92440923540133 |
| 21 | 5.627 | 3.00809132703122 | 2.61890867296878 |
| 22 | 2.846 | 3.6653317767762 | -0.819331776776197 |
| 23 | 1.762 | 2.84051283984489 | -1.07851283984489 |
| 24 | 2.429 | 2.92251933357437 | -0.49351933357437 |
| 25 | 1.169 | 3.41931229558775 | -2.25031229558775 |
| 26 | 2.154 | 2.52199486419994 | -0.367994864199944 |
| 27 | 2.249 | 3.53340828686355 | -1.28440828686355 |
| 28 | 2.687 | 2.73117084820558 | -0.0441708482055793 |
| 29 | 4.359 | 3.15308831594422 | 1.20591168405578 |
| 30 | 5.382 | 2.60162435811118 | 2.78037564188882 |
| 31 | 4.459 | 3.89946625887341 | 0.559533741126585 |
| 32 | 6.398 | 3.57857128341022 | 2.81942871658978 |
| 33 | 4.596 | 3.17566981421755 | 1.42033018578245 |
| 34 | 3.024 | 3.53816228650004 | -0.514162286500045 |
| 35 | 1.887 | 2.42216087183362 | -0.535160871833619 |
| 36 | 2.07 | 3.11505631885228 | -1.04505631885228 |
| 37 | 1.351 | 3.43951679404284 | -2.08851679404284 |
| 38 | 2.218 | 2.21060788800974 | 0.00739211199026221 |
| 39 | 2.461 | 3.11386781894316 | -0.65286781894316 |
| 40 | 3.028 | 3.36107580004073 | -0.333075800040728 |
| 41 | 4.784 | 2.98550982875788 | 1.79849017124211 |
| 42 | 4.975 | 3.16853881476282 | 1.80646118523718 |
| 43 | 4.607 | 4.20372223560888 | 0.403277764391117 |
| 44 | 6.249 | 3.28738880567511 | 2.96161119432489 |
| 45 | 4.809 | 3.58807928268321 | 1.22092071731679 |
| 46 | 3.157 | 3.34443680131301 | -0.187436801313008 |
| 47 | 1.91 | 2.54457636247328 | -0.63457636247328 |
| 48 | 2.228 | 3.52271178768145 | -1.29471178768145 |
| 49 | 1.594 | 3.62135728013865 | -2.02735728013865 |
| 50 | 2.467 | 2.78465334411611 | -0.317653344116111 |
| 51 | 2.222 | 3.56549778440987 | -1.34349778440987 |
| 52 | 3.607 | 3.16021931539896 | 0.446780684601045 |
| 53 | 4.685 | 2.82862784075366 | 1.85637215924634 |
| 54 | 4.962 | 3.72356827232322 | 1.23843172767678 |
| 55 | 5.77 | 4.35228472424925 | 1.41771527575075 |
| 56 | 5.48 | 4.07298724560536 | 1.40701275439464 |
| 57 | 5 | 3.80676326596182 | 1.19323673403818 |
| 58 | 3.228 | 3.63680777895725 | -0.408807778957248 |
| 59 | 1.993 | 3.14595731648948 | -1.15295731648948 |
| 60 | 2.288 | 3.98147275260289 | -1.69347275260289 |
| 61 | 1.58 | 3.64512727832111 | -2.06512727832111 |
| 62 | 2.111 | 2.84051283984489 | -0.729512839844889 |
| 63 | 2.192 | 4.19659123615414 | -2.00459123615415 |
| 64 | 3.601 | 3.60947228104742 | -0.00847228104742098 |
| 65 | 4.665 | 3.77110826868814 | 0.893891731311862 |
| 66 | 4.876 | 3.88163876023657 | 0.99436123976343 |
| 67 | 5.813 | 3.92204775714675 | 1.89095224285325 |
| 68 | 5.589 | 4.46756921543417 | 1.12143078456583 |
| 69 | 5.331 | 4.07179874569624 | 1.25920125430376 |
| 70 | 3.075 | 4.10151124342431 | -1.02651124342431 |
| 71 | 2.002 | 3.15784231558071 | -1.15584231558071 |
| 72 | 2.306 | 3.78061626796112 | -1.47461626796112 |
| 73 | 1.507 | 4.01237375024009 | -2.50537375024009 |
| 74 | 1.992 | 2.9035033350284 | -0.911503335028403 |
| 75 | 2.487 | 4.38793972152293 | -1.90093972152294 |
| 76 | 3.49 | 3.5357852866818 | -0.0457852866817981 |
| 77 | 4.647 | 4.4069557200689 | 0.240044279931098 |
| 78 | 5.594 | 4.15855923906221 | 1.43544076093779 |
| 79 | 5.611 | 4.35228472424925 | 1.25871527575075 |
| 80 | 5.788 | 4.58523070643734 | 1.20276929356266 |
| 81 | 6.204 | 4.6505982014391 | 1.55340179856090 |
| 82 | 3.013 | 4.75875169316929 | -1.74575169316929 |
| 83 | 1.931 | 3.62492277986602 | -1.69392277986602 |
| 84 | 2.549 | 3.52390028759057 | -0.97490028759057 |
| 85 | 1.504 | 4.31306422724819 | -2.80906422724819 |
| 86 | 2.09 | 3.24341430903756 | -1.15341430903756 |
| 87 | 2.702 | 4.30236772806608 | -1.60036772806608 |
| 88 | 2.939 | 3.46922929177092 | -0.530229291770915 |
| 89 | 4.5 | 4.46638071552505 | 0.0336192844749527 |
| 90 | 6.208 | 3.95770275442044 | 2.25029724557956 |
| 91 | 6.415 | 4.91206818144614 | 1.50293181855386 |
| 92 | 5.657 | 5.23058615709109 | 0.426413842908912 |
| 93 | 5.964 | 4.28097472970187 | 1.68302527029813 |
| 94 | 3.163 | 4.81579968880719 | -1.65279968880719 |
| 95 | 1.997 | 3.68910177495865 | -1.69210177495865 |
| 96 | 2.422 | 4.08130674496922 | -1.65930674496922 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.542004549354247 | 0.915990901291506 | 0.457995450645753 |
| 6 | 0.684574676083913 | 0.630850647832174 | 0.315425323916087 |
| 7 | 0.803498257240918 | 0.393003485518164 | 0.196501742759082 |
| 8 | 0.751927203520609 | 0.496145592958782 | 0.248072796479391 |
| 9 | 0.861151979262762 | 0.277696041474475 | 0.138848020737238 |
| 10 | 0.842025600350672 | 0.315948799298655 | 0.157974399649328 |
| 11 | 0.828132091467974 | 0.343735817064051 | 0.171867908532026 |
| 12 | 0.776935732085422 | 0.446128535829157 | 0.223064267914578 |
| 13 | 0.863095757708222 | 0.273808484583555 | 0.136904242291778 |
| 14 | 0.810831459433524 | 0.378337081132952 | 0.189168540566476 |
| 15 | 0.779305610889601 | 0.441388778220798 | 0.220694389110399 |
| 16 | 0.720177916956564 | 0.559644166086872 | 0.279822083043436 |
| 17 | 0.652448344425302 | 0.695103311149396 | 0.347551655574698 |
| 18 | 0.755483957061639 | 0.489032085876722 | 0.244516042938361 |
| 19 | 0.694887548184815 | 0.61022490363037 | 0.305112451815185 |
| 20 | 0.707014937691082 | 0.585970124617835 | 0.292985062308918 |
| 21 | 0.798803636587615 | 0.40239272682477 | 0.201196363412385 |
| 22 | 0.7717734567374 | 0.456453086525199 | 0.228226543262600 |
| 23 | 0.749101084358892 | 0.501797831282217 | 0.250898915641108 |
| 24 | 0.698239183306247 | 0.603521633387506 | 0.301760816693753 |
| 25 | 0.772606869294474 | 0.454786261411051 | 0.227393130705526 |
| 26 | 0.720224035872285 | 0.55955192825543 | 0.279775964127715 |
| 27 | 0.708218597679171 | 0.583562804641657 | 0.291781402320829 |
| 28 | 0.649432980450203 | 0.701134039099593 | 0.350567019549797 |
| 29 | 0.626172961678066 | 0.747654076643868 | 0.373827038321934 |
| 30 | 0.755397207486384 | 0.489205585027232 | 0.244602792513616 |
| 31 | 0.70836605163929 | 0.58326789672142 | 0.29163394836071 |
| 32 | 0.814250798877428 | 0.371498402245143 | 0.185749201122572 |
| 33 | 0.805658940555675 | 0.388682118888649 | 0.194341059444325 |
| 34 | 0.76926604454586 | 0.461467910908279 | 0.230733955454139 |
| 35 | 0.727720990647414 | 0.544558018705172 | 0.272279009352586 |
| 36 | 0.703408341050205 | 0.59318331789959 | 0.296591658949795 |
| 37 | 0.754653798540467 | 0.490692402919067 | 0.245346201459533 |
| 38 | 0.705080140465174 | 0.589839719069653 | 0.294919859534826 |
| 39 | 0.66171645640686 | 0.676567087186279 | 0.338283543593140 |
| 40 | 0.608573507239828 | 0.782852985520345 | 0.391426492760172 |
| 41 | 0.635732479627768 | 0.728535040744463 | 0.364267520372232 |
| 42 | 0.664464574154461 | 0.671070851691078 | 0.335535425845539 |
| 43 | 0.611442825414784 | 0.777114349170432 | 0.388557174585216 |
| 44 | 0.773600107139245 | 0.452799785721511 | 0.226399892860755 |
| 45 | 0.762806056322486 | 0.474387887355027 | 0.237193943677514 |
| 46 | 0.71783133822626 | 0.564337323547479 | 0.282168661773740 |
| 47 | 0.673790074224371 | 0.652419851551257 | 0.326209925775629 |
| 48 | 0.659134067869185 | 0.68173186426163 | 0.340865932130815 |
| 49 | 0.700594906875654 | 0.598810186248693 | 0.299405093124346 |
| 50 | 0.650343784593892 | 0.699312430812216 | 0.349656215406108 |
| 51 | 0.635160099663997 | 0.729679800672005 | 0.364839900336002 |
| 52 | 0.59048842512172 | 0.819023149756559 | 0.409511574878279 |
| 53 | 0.666511087744798 | 0.666977824510405 | 0.333488912255203 |
| 54 | 0.664403836194963 | 0.671192327610075 | 0.335596163805037 |
| 55 | 0.656614834030613 | 0.686770331938775 | 0.343385165969387 |
| 56 | 0.657942966023526 | 0.684114067952947 | 0.342057033976474 |
| 57 | 0.655535028733843 | 0.688929942532315 | 0.344464971266157 |
| 58 | 0.603795510363307 | 0.792408979273385 | 0.396204489636693 |
| 59 | 0.564129926800545 | 0.871740146398911 | 0.435870073199455 |
| 60 | 0.57551978826554 | 0.84896042346892 | 0.42448021173446 |
| 61 | 0.607724697962039 | 0.784550604075921 | 0.392275302037961 |
| 62 | 0.554321822126266 | 0.891356355747467 | 0.445678177873734 |
| 63 | 0.59915066605051 | 0.80169866789898 | 0.40084933394949 |
| 64 | 0.541562378679733 | 0.916875242640534 | 0.458437621320267 |
| 65 | 0.518892862281402 | 0.962214275437196 | 0.481107137718598 |
| 66 | 0.502103308549699 | 0.995793382900602 | 0.497896691450301 |
| 67 | 0.581024555561686 | 0.837950888876628 | 0.418975444438314 |
| 68 | 0.556421242397935 | 0.887157515204129 | 0.443578757602065 |
| 69 | 0.566767416992004 | 0.866465166015992 | 0.433232583007996 |
| 70 | 0.520474458042764 | 0.959051083914473 | 0.479525541957236 |
| 71 | 0.465375788677442 | 0.930751577354884 | 0.534624211322558 |
| 72 | 0.433377707752861 | 0.866755415505722 | 0.566622292247139 |
| 73 | 0.518818618793366 | 0.962362762413267 | 0.481181381206634 |
| 74 | 0.455106251332323 | 0.910212502664646 | 0.544893748667677 |
| 75 | 0.490766445337974 | 0.981532890675948 | 0.509233554662026 |
| 76 | 0.428777569754422 | 0.857555139508845 | 0.571222430245578 |
| 77 | 0.358747423905755 | 0.71749484781151 | 0.641252576094245 |
| 78 | 0.376265097339809 | 0.752530194679617 | 0.623734902660191 |
| 79 | 0.370492684493663 | 0.740985368987326 | 0.629507315506337 |
| 80 | 0.352352397528443 | 0.704704795056886 | 0.647647602471557 |
| 81 | 0.380625711059025 | 0.761251422118051 | 0.619374288940975 |
| 82 | 0.389889528618519 | 0.779779057237038 | 0.610110471381481 |
| 83 | 0.341706764603457 | 0.683413529206914 | 0.658293235396543 |
| 84 | 0.265725713463115 | 0.531451426926229 | 0.734274286536885 |
| 85 | 0.42036081001837 | 0.84072162003674 | 0.57963918998163 |
| 86 | 0.332148220972012 | 0.664296441944025 | 0.667851779027988 |
| 87 | 0.327922175015247 | 0.655844350030493 | 0.672077824984753 |
| 88 | 0.232234426931447 | 0.464468853862893 | 0.767765573068553 |
| 89 | 0.149599373547875 | 0.299198747095749 | 0.850400626452125 |
| 90 | 0.31166148570507 | 0.62332297141014 | 0.68833851429493 |
| 91 | 0.276972414497289 | 0.553944828994577 | 0.723027585502711 |
| 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 |
