| Multiple Linear Regression - Estimated Regression Equation |
| Huwelijken[t] = + 783.757819492143 + 510.48054551803Specialedag[t] + 253.376841202445Temperatuur[t] + 4.64850458396683Neerslag[t] -20.7393173509528`Neerslagdagen `[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) | 783.757819492143 | 329.571224 | 2.3781 | 0.01905 | 0.009525 |
| Specialedag | 510.48054551803 | 245.913126 | 2.0759 | 0.040136 | 0.020068 |
| Temperatuur | 253.376841202445 | 12.923472 | 19.6059 | 0 | 0 |
| Neerslag | 4.64850458396683 | 2.463393 | 1.887 | 0.061677 | 0.030839 |
| `Neerslagdagen ` | -20.7393173509528 | 19.71155 | -1.0521 | 0.294941 | 0.14747 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.903839417044672 |
| R-squared | 0.816925691803653 |
| Adjusted R-squared | 0.810557889779433 |
| F-TEST (value) | 128.290058123097 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 115 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 706.429999739536 |
| Sum Squared Residuals | 57389984.6211801 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1579 | 1657.13344882299 | -78.1334488229914 |
| 2 | 2146 | 2223.86804364344 | -77.8680436434429 |
| 3 | 2462 | 2411.2427880288 | 50.7572119712003 |
| 4 | 3695 | 3373.52458821691 | 321.475411783093 |
| 5 | 4831 | 4595.66286976795 | 235.337130232048 |
| 6 | 5134 | 4975.51877172998 | 158.481228270020 |
| 7 | 6250 | 4867.60705620526 | 1382.39294379474 |
| 8 | 5760 | 5336.65398020161 | 423.346019798393 |
| 9 | 6249 | 4897.70499035746 | 1351.29500964254 |
| 10 | 2917 | 3626.8598266118 | -709.859826611799 |
| 11 | 1741 | 2690.71659599852 | -949.716595998516 |
| 12 | 2359 | 2016.94611529174 | 342.053884708258 |
| 13 | 1511 | 2191.76621335191 | -680.766213351912 |
| 14 | 2059 | 2014.80907770796 | 44.1909222920424 |
| 15 | 2635 | 2454.99073566464 | 180.009264335357 |
| 16 | 2867 | 3084.75083626776 | -217.750836267757 |
| 17 | 4403 | 4583.28872036045 | -180.28872036045 |
| 18 | 5720 | 4761.23950684753 | 958.76049315247 |
| 19 | 4502 | 5706.88243819514 | -1204.88243819514 |
| 20 | 5749 | 5580.72714396087 | 168.272856039132 |
| 21 | 5627 | 4502.22658597476 | 1124.77341402524 |
| 22 | 2846 | 4458.59705206216 | -1612.59705206216 |
| 23 | 1762 | 2507.5252321629 | -745.525232162899 |
| 24 | 2429 | 1569.66475172875 | 859.335248271247 |
| 25 | 1169 | 1907.42195354307 | -738.421953543073 |
| 26 | 2154 | 3483.78434383835 | -1329.78434383835 |
| 27 | 2249 | 2777.94259187488 | -528.942591874876 |
| 28 | 2687 | 3238.08908125313 | -551.089081253127 |
| 29 | 4359 | 4080.79097502925 | 278.209024970755 |
| 30 | 5382 | 5162.23824256142 | 219.761757438578 |
| 31 | 4459 | 5410.61720763323 | -951.617207633225 |
| 32 | 6398 | 5902.52767509021 | 495.472324909785 |
| 33 | 4596 | 4379.456995223 | 216.543004777000 |
| 34 | 3024 | 3580.20408892653 | -556.204088926534 |
| 35 | 1887 | 3059.56169885967 | -1172.56169885967 |
| 36 | 2070 | 2033.38975949332 | 36.6102405066764 |
| 37 | 1351 | 1445.23044077909 | -94.2304407790868 |
| 38 | 2218 | 1462.5699194448 | 755.430080555201 |
| 39 | 2461 | 3477.39965268741 | -1016.39965268741 |
| 40 | 3028 | 3504.58201092003 | -476.582010920029 |
| 41 | 4784 | 4292.82625842331 | 491.17374157669 |
| 42 | 4975 | 5667.92487358018 | -692.924873580175 |
| 43 | 4607 | 5792.94138063183 | -1185.94138063183 |
| 44 | 6249 | 5993.12444474253 | 255.875555257467 |
| 45 | 4809 | 4555.65532378109 | 253.344676218905 |
| 46 | 3157 | 2771.84939810104 | 385.150601898956 |
| 47 | 1910 | 2817.49008894672 | -907.490088946718 |
| 48 | 2228 | 1871.21375560281 | 356.786244397193 |
| 49 | 1594 | 1811.76009993120 | -217.760099931196 |
| 50 | 2467 | 1987.13860628861 | 479.861393711391 |
| 51 | 2222 | 2261.16782576316 | -39.1678257631586 |
| 52 | 3607 | 3968.55591261659 | -361.555912616588 |
| 53 | 4685 | 3988.50788304881 | 696.492116951191 |
| 54 | 4962 | 4904.93537815785 | 57.0646218421487 |
| 55 | 5770 | 5341.69905933541 | 428.300940664587 |
| 56 | 5480 | 5707.42596630108 | -227.425966301081 |
| 57 | 5000 | 4902.86181493924 | 97.1381850607566 |
| 58 | 3228 | 3751.41601117262 | -523.416011172618 |
| 59 | 1993 | 2417.24396760459 | -424.243967604592 |
| 60 | 2288 | 1471.38901517965 | 816.610984820346 |
| 61 | 1580 | 1727.08184724278 | -147.081847242782 |
| 62 | 2111 | 1373.87922955282 | 737.120770447178 |
| 63 | 2192 | 2435.86465904146 | -243.864659041463 |
| 64 | 3601 | 3356.61768671298 | 244.382313287020 |
| 65 | 4665 | 4574.35128249285 | 90.6487175071544 |
| 66 | 4876 | 5493.65128795271 | -617.651287952714 |
| 67 | 5813 | 5662.81525200155 | 150.184747998448 |
| 68 | 5589 | 5052.47006001463 | 536.529939985372 |
| 69 | 5331 | 5106.5999327226 | 224.400067277406 |
| 70 | 3075 | 4305.23987033068 | -1230.23987033068 |
| 71 | 2002 | 2239.14276767349 | -237.142767673486 |
| 72 | 2306 | 1453.24491759563 | 852.755082404368 |
| 73 | 1507 | 1114.7716290979 | 392.228370902099 |
| 74 | 1992 | 1382.01077843714 | 609.989221562862 |
| 75 | 2487 | 1895.67187662093 | 591.328123379067 |
| 76 | 3490 | 3022.16457592211 | 467.835424077888 |
| 77 | 4647 | 4504.28974745438 | 142.710252545625 |
| 78 | 5594 | 5652.41391462215 | -58.4139146221518 |
| 79 | 5611 | 6669.10369882957 | -1058.10369882957 |
| 80 | 5788 | 5418.66714405848 | 369.332855941517 |
| 81 | 6204 | 5322.74340098201 | 881.25659901799 |
| 82 | 3013 | 4290.851377678 | -1277.851377678 |
| 83 | 1931 | 3007.53365562736 | -1076.53365562736 |
| 84 | 2549 | 2337.68439657833 | 211.315603421668 |
| 85 | 1504 | 2451.42075228544 | -947.420752285444 |
| 86 | 2090 | 2576.87996466205 | -486.879964662054 |
| 87 | 2702 | 2683.72863584019 | 18.2713641598059 |
| 88 | 2939 | 4407.04664868711 | -1468.04664868711 |
| 89 | 4500 | 4507.45009330905 | -7.45009330905295 |
| 90 | 6208 | 5284.93716559634 | 923.062834403657 |
| 91 | 6415 | 5728.52271464467 | 686.477285355326 |
| 92 | 5657 | 5136.72827343953 | 520.271726560471 |
| 93 | 5964 | 4292.29606686787 | 1671.70393313213 |
| 94 | 3163 | 3519.16466013197 | -356.164660131974 |
| 95 | 1997 | 2383.75313661823 | -386.753136618229 |
| 96 | 2422 | 1843.20244764390 | 578.797552356096 |
| 97 | 1376 | 2282.35226232258 | -906.352262322576 |
| 98 | 2202 | 2265.781122239 | -63.781122239002 |
| 99 | 2683 | 2535.40319669202 | 147.596803307982 |
| 100 | 3303 | 3060.85410787364 | 242.145892126362 |
| 101 | 5202 | 4961.55992142758 | 240.440078572422 |
| 102 | 5231 | 4835.4870383046 | 395.512961695403 |
| 103 | 4880 | 5403.43723122332 | -523.437231223324 |
| 104 | 7998 | 5774.73519985335 | 2223.26480014665 |
| 105 | 4977 | 4410.8110622014 | 566.188937798602 |
| 106 | 3531 | 3386.71935432891 | 144.280645671087 |
| 107 | 2025 | 2307.07468254040 | -282.074682540398 |
| 108 | 2205 | 1424.88209778236 | 780.117902217636 |
| 109 | 1442 | 1004.64073845393 | 437.35926154607 |
| 110 | 2238 | 1546.55771254639 | 691.442287453607 |
| 111 | 2179 | 2487.32090791077 | -308.32090791077 |
| 112 | 3218 | 3858.82314016325 | -640.823140163255 |
| 113 | 5139 | 4280.16648541013 | 858.833514589872 |
| 114 | 4990 | 5036.17175413787 | -46.171754137871 |
| 115 | 4914 | 5446.92408804679 | -532.92408804679 |
| 116 | 6084 | 5687.86330547656 | 396.136694523443 |
| 117 | 5672 | 5225.47076589272 | 446.529234107285 |
| 118 | 3548 | 3782.44071143009 | -234.440711430094 |
| 119 | 1793 | 3178.58369461079 | -1385.58369461079 |
| 120 | 2086 | 1500.10279969565 | 585.897200304353 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.0981585154722223 | 0.196317030944445 | 0.901841484527778 |
| 9 | 0.136331501529570 | 0.272663003059141 | 0.86366849847043 |
| 10 | 0.251573552450415 | 0.503147104900831 | 0.748426447549585 |
| 11 | 0.201974471959175 | 0.40394894391835 | 0.798025528040825 |
| 12 | 0.330247968758375 | 0.66049593751675 | 0.669752031241625 |
| 13 | 0.237407113916348 | 0.474814227832696 | 0.762592886083652 |
| 14 | 0.202551177845609 | 0.405102355691218 | 0.797448822154391 |
| 15 | 0.138470336758890 | 0.276940673517781 | 0.86152966324111 |
| 16 | 0.135467671171825 | 0.270935342343649 | 0.864532328828175 |
| 17 | 0.192805293339014 | 0.385610586678029 | 0.807194706660985 |
| 18 | 0.162294102392674 | 0.324588204785348 | 0.837705897607326 |
| 19 | 0.521571052906894 | 0.956857894186213 | 0.478428947093106 |
| 20 | 0.442855212397931 | 0.885710424795863 | 0.557144787602069 |
| 21 | 0.449550533562057 | 0.899101067124114 | 0.550449466437943 |
| 22 | 0.818407551418289 | 0.363184897163423 | 0.181592448581711 |
| 23 | 0.842198431519605 | 0.315603136960790 | 0.157801568480395 |
| 24 | 0.859991407411641 | 0.280017185176717 | 0.140008592588359 |
| 25 | 0.856972866017269 | 0.286054267965462 | 0.143027133982731 |
| 26 | 0.879959555783768 | 0.240080888432464 | 0.120040444216232 |
| 27 | 0.864382293048862 | 0.271235413902276 | 0.135617706951138 |
| 28 | 0.845510132741524 | 0.308979734516952 | 0.154489867258476 |
| 29 | 0.810122844529424 | 0.379754310941153 | 0.189877155470576 |
| 30 | 0.766159441370222 | 0.467681117259557 | 0.233840558629778 |
| 31 | 0.814346888339356 | 0.371306223321288 | 0.185653111660644 |
| 32 | 0.780365991382519 | 0.439268017234962 | 0.219634008617481 |
| 33 | 0.738423936706327 | 0.523152126587347 | 0.261576063293673 |
| 34 | 0.719507019040426 | 0.560985961919148 | 0.280492980959574 |
| 35 | 0.788410729333393 | 0.423178541333214 | 0.211589270666607 |
| 36 | 0.748422934389998 | 0.503154131220004 | 0.251577065610002 |
| 37 | 0.703810460371547 | 0.592379079256907 | 0.296189539628453 |
| 38 | 0.726082274776606 | 0.547835450446787 | 0.273917725223394 |
| 39 | 0.753908490208657 | 0.492183019582686 | 0.246091509791343 |
| 40 | 0.730561512047349 | 0.538876975905302 | 0.269438487952651 |
| 41 | 0.708261268142401 | 0.583477463715198 | 0.291738731857599 |
| 42 | 0.704071383677469 | 0.591857232645062 | 0.295928616322531 |
| 43 | 0.780485583917935 | 0.439028832164131 | 0.219514416082065 |
| 44 | 0.7473211599449 | 0.5053576801102 | 0.2526788400551 |
| 45 | 0.711621533547827 | 0.576756932904347 | 0.288378466452173 |
| 46 | 0.678293127115094 | 0.643413745769813 | 0.321706872884906 |
| 47 | 0.709125014753202 | 0.581749970493596 | 0.290874985246798 |
| 48 | 0.673404586446651 | 0.653190827106698 | 0.326595413553349 |
| 49 | 0.639626492860613 | 0.720747014278773 | 0.360373507139387 |
| 50 | 0.611020373459211 | 0.777959253081578 | 0.388979626540789 |
| 51 | 0.557331091022982 | 0.885337817954036 | 0.442668908977018 |
| 52 | 0.567618180361139 | 0.864763639277722 | 0.432381819638861 |
| 53 | 0.573377687230909 | 0.853244625538183 | 0.426622312769091 |
| 54 | 0.520970622504197 | 0.958058754991605 | 0.479029377495802 |
| 55 | 0.489172106754355 | 0.97834421350871 | 0.510827893245645 |
| 56 | 0.439299715379685 | 0.87859943075937 | 0.560700284620315 |
| 57 | 0.387383245451186 | 0.774766490902373 | 0.612616754548814 |
| 58 | 0.365719469859515 | 0.731438939719029 | 0.634280530140485 |
| 59 | 0.340856486430637 | 0.681712972861274 | 0.659143513569363 |
| 60 | 0.351489641399542 | 0.702979282799085 | 0.648510358600457 |
| 61 | 0.303991080742398 | 0.607982161484797 | 0.696008919257602 |
| 62 | 0.29918893548984 | 0.59837787097968 | 0.70081106451016 |
| 63 | 0.258747440756263 | 0.517494881512525 | 0.741252559243737 |
| 64 | 0.224012967005324 | 0.448025934010647 | 0.775987032994677 |
| 65 | 0.229971359165417 | 0.459942718330835 | 0.770028640834583 |
| 66 | 0.215042075163463 | 0.430084150326926 | 0.784957924836537 |
| 67 | 0.179469527464471 | 0.358939054928942 | 0.820530472535529 |
| 68 | 0.169668262076744 | 0.339336524153488 | 0.830331737923256 |
| 69 | 0.141457218640132 | 0.282914437280264 | 0.858542781359868 |
| 70 | 0.208905070052676 | 0.417810140105351 | 0.791094929947324 |
| 71 | 0.177284709301934 | 0.354569418603869 | 0.822715290698066 |
| 72 | 0.192168246782776 | 0.384336493565551 | 0.807831753217224 |
| 73 | 0.164745844266824 | 0.329491688533647 | 0.835254155733176 |
| 74 | 0.149443765686731 | 0.298887531373462 | 0.850556234313269 |
| 75 | 0.136870096517349 | 0.273740193034697 | 0.863129903482652 |
| 76 | 0.122635586057828 | 0.245271172115657 | 0.877364413942171 |
| 77 | 0.0971345141660604 | 0.194269028332121 | 0.90286548583394 |
| 78 | 0.111192523215783 | 0.222385046431565 | 0.888807476784218 |
| 79 | 0.149574629929650 | 0.299149259859299 | 0.85042537007035 |
| 80 | 0.124052372338479 | 0.248104744676959 | 0.87594762766152 |
| 81 | 0.150155727951437 | 0.300311455902873 | 0.849844272048563 |
| 82 | 0.228100398715007 | 0.456200797430014 | 0.771899601284993 |
| 83 | 0.287188408029612 | 0.574376816059223 | 0.712811591970388 |
| 84 | 0.240622099037847 | 0.481244198075694 | 0.759377900962153 |
| 85 | 0.272682684580339 | 0.545365369160678 | 0.727317315419661 |
| 86 | 0.257423970802246 | 0.514847941604492 | 0.742576029197754 |
| 87 | 0.210710023989220 | 0.421420047978439 | 0.78928997601078 |
| 88 | 0.482215336147253 | 0.964430672294506 | 0.517784663852747 |
| 89 | 0.419406961403033 | 0.838813922806066 | 0.580593038596967 |
| 90 | 0.476574192007864 | 0.953148384015729 | 0.523425807992136 |
| 91 | 0.470512631303302 | 0.941025262606604 | 0.529487368696698 |
| 92 | 0.430355835347437 | 0.860711670694874 | 0.569644164652563 |
| 93 | 0.760125319017977 | 0.479749361964047 | 0.239874680982023 |
| 94 | 0.752439479342767 | 0.495121041314467 | 0.247560520657233 |
| 95 | 0.704139642230729 | 0.591720715538543 | 0.295860357769271 |
| 96 | 0.670653900265121 | 0.658692199469758 | 0.329346099734879 |
| 97 | 0.70096656540105 | 0.598066869197898 | 0.299033434598949 |
| 98 | 0.659372380615785 | 0.68125523876843 | 0.340627619384215 |
| 99 | 0.596154106302148 | 0.807691787395703 | 0.403845893697852 |
| 100 | 0.51921049241397 | 0.96157901517206 | 0.48078950758603 |
| 101 | 0.441163270440454 | 0.882326540880909 | 0.558836729559546 |
| 102 | 0.401642565619681 | 0.803285131239361 | 0.598357434380320 |
| 103 | 0.331556746785130 | 0.663113493570259 | 0.66844325321487 |
| 104 | 0.875051481630045 | 0.249897036739910 | 0.124948518369955 |
| 105 | 0.864891921013786 | 0.270216157972428 | 0.135108078986214 |
| 106 | 0.817014114262598 | 0.365971771474804 | 0.182985885737402 |
| 107 | 0.736781102768648 | 0.526437794462704 | 0.263218897231352 |
| 108 | 0.642501569162587 | 0.714996861674826 | 0.357498430837413 |
| 109 | 0.542348511098835 | 0.91530297780233 | 0.457651488901165 |
| 110 | 0.456106587438410 | 0.912213174876819 | 0.54389341256159 |
| 111 | 0.40144513885777 | 0.80289027771554 | 0.59855486114223 |
| 112 | 0.667321699816415 | 0.66535660036717 | 0.332678300183585 |
| 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 |
