| Multiple Linear Regression - Estimated Regression Equation |
| Huwelijken[t] = + 505.099332666385 + 525.423297499213Specialedag[t] + 259.288481142119Temperatuur[t] + 2.90633574238225Neerslag[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) | 505.099332666385 | 196.233544 | 2.574 | 0.011313 | 0.005657 |
| Specialedag | 525.423297499213 | 245.615872 | 2.1392 | 0.034515 | 0.017258 |
| Temperatuur | 259.288481142119 | 11.643517 | 22.2689 | 0 | 0 |
| Neerslag | 2.90633574238225 | 1.824716 | 1.5928 | 0.113935 | 0.056968 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.902864000622884 |
| R-squared | 0.815163403620759 |
| Adjusted R-squared | 0.810383146817848 |
| F-TEST (value) | 170.527115431181 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 116 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 706.75573306493 |
| Sum Squared Residuals | 57942425.2815371 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1579 | 1675.07280066171 | -96.0728006617079 |
| 2 | 2146 | 2272.93026870599 | -126.930268705990 |
| 3 | 2462 | 2511.12741894273 | -49.1274189427278 |
| 4 | 3695 | 3416.83084148771 | 278.169158512286 |
| 5 | 4831 | 4670.88153890573 | 160.118461094273 |
| 6 | 5134 | 4963.1582004116 | 170.841799588404 |
| 7 | 6250 | 4861.08081647155 | 1388.91918352845 |
| 8 | 5760 | 5376.27596879356 | 383.724031206443 |
| 9 | 6249 | 4882.79674744702 | 1366.20325255298 |
| 10 | 2917 | 3720.7519730485 | -803.7519730485 |
| 11 | 1741 | 2805.45764255366 | -1064.45764255366 |
| 12 | 2359 | 2126.26356726889 | 232.736432731106 |
| 13 | 1511 | 2155.07313411195 | -644.073134111954 |
| 14 | 2059 | 1992.36307663747 | 66.6369233625295 |
| 15 | 2635 | 2516.85596395968 | 118.144036040319 |
| 16 | 2867 | 3099.37231257633 | -232.372312576329 |
| 17 | 4403 | 4507.54547018384 | -104.545470183844 |
| 18 | 5720 | 4705.26042713366 | 1014.73957286634 |
| 19 | 4502 | 5702.84485268411 | -1200.84485268411 |
| 20 | 5749 | 5609.57314181445 | 139.426858185547 |
| 21 | 5627 | 4429.44408643074 | 1197.55591356926 |
| 22 | 2846 | 4436.77492516912 | -1590.77492516913 |
| 23 | 1762 | 2402.74022283727 | -640.740222837268 |
| 24 | 2429 | 1562.74165453094 | 866.25834546906 |
| 25 | 1169 | 1905.04808435198 | -736.048084351983 |
| 26 | 2154 | 3385.08283196059 | -1231.08283196059 |
| 27 | 2249 | 2720.23954529485 | -471.239545294852 |
| 28 | 2687 | 3193.83076357917 | -506.830763579175 |
| 29 | 4359 | 4197.66508066346 | 161.334919336537 |
| 30 | 5382 | 5149.06043437085 | 232.939565629148 |
| 31 | 4459 | 5400.89569613599 | -941.895696135985 |
| 32 | 6398 | 5828.04546317378 | 569.954536826221 |
| 33 | 4596 | 4391.62346760899 | 204.376532391009 |
| 34 | 3024 | 3533.08427118300 | -509.084271183005 |
| 35 | 1887 | 3002.94442593625 | -1115.94442593625 |
| 36 | 2070 | 1963.63114633409 | 106.368853665915 |
| 37 | 1351 | 1397.03718429353 | -46.0371842935301 |
| 38 | 2218 | 1315.68144996764 | 902.318550032362 |
| 39 | 2461 | 3412.82048090267 | -951.820480902666 |
| 40 | 3028 | 3415.21196005630 | -387.211960056305 |
| 41 | 4784 | 4347.52875141718 | 436.471248582821 |
| 42 | 4975 | 5609.34496824723 | -634.344968247225 |
| 43 | 4607 | 5772.51532340889 | -1165.51532340889 |
| 44 | 6249 | 5923.62565492738 | 325.374345072622 |
| 45 | 4809 | 4562.30950215465 | 246.690497845349 |
| 46 | 3157 | 2739.48382120159 | 417.516178798415 |
| 47 | 1910 | 2847.26808369777 | -937.268083697768 |
| 48 | 2228 | 1859.35615318957 | 368.643846810428 |
| 49 | 1594 | 1781.81690949955 | -187.816909499553 |
| 50 | 2467 | 1943.37092260523 | 523.62907739477 |
| 51 | 2222 | 2289.06170176392 | -67.0617017639225 |
| 52 | 3607 | 4016.74046045973 | -409.740460459733 |
| 53 | 4685 | 3942.5703895747 | 742.429610425301 |
| 54 | 4962 | 4959.35829748569 | 2.64170251431157 |
| 55 | 5770 | 5343.39104198302 | 426.608958016985 |
| 56 | 5480 | 5762.25902184273 | -282.259021842731 |
| 57 | 5000 | 4842.79256775535 | 157.207432244651 |
| 58 | 3228 | 3735.24285821421 | -507.242858214213 |
| 59 | 1993 | 2392.40233417871 | -399.402334178711 |
| 60 | 2288 | 1447.98218625304 | 840.01781374696 |
| 61 | 1580 | 1854.24966886730 | -274.249668867304 |
| 62 | 2111 | 1362.51424896619 | 748.485751033809 |
| 63 | 2192 | 2484.74222369407 | -292.742223694069 |
| 64 | 3601 | 3413.46815861088 | 187.531841389125 |
| 65 | 4665 | 4679.36842201292 | -14.3684220129220 |
| 66 | 4876 | 5458.58773030998 | -582.587730309984 |
| 67 | 5813 | 5609.01100175137 | 203.988998248634 |
| 68 | 5589 | 5063.13614994955 | 525.863850050454 |
| 69 | 5331 | 5024.93823171032 | 306.061768289681 |
| 70 | 3075 | 4297.66469666222 | -1222.66469666222 |
| 71 | 2002 | 2263.75491434439 | -261.754914344386 |
| 72 | 2306 | 1561.99467382225 | 744.005326177755 |
| 73 | 1507 | 1000.23822899053 | 506.761771009469 |
| 74 | 1992 | 1357.51101819713 | 634.488981802869 |
| 75 | 2487 | 1861.68122178348 | 625.318778216523 |
| 76 | 3490 | 3050.17365143767 | 439.826348562329 |
| 77 | 4647 | 4522.96817670386 | 124.031823296142 |
| 78 | 5594 | 5591.19681607771 | 2.80318392228733 |
| 79 | 5611 | 6608.5291481437 | -997.529148143702 |
| 80 | 5788 | 5319.45329596685 | 468.54670403315 |
| 81 | 6204 | 5302.74567451128 | 901.254325488715 |
| 82 | 3013 | 4350.62246718059 | -1337.62246718059 |
| 83 | 1931 | 3072.71815021423 | -1141.71815021423 |
| 84 | 2549 | 2305.19059544643 | 243.809404553567 |
| 85 | 1504 | 2611.1678284877 | -1107.16782848770 |
| 86 | 2090 | 2545.52543425606 | -455.525434256057 |
| 87 | 2702 | 2759.30936425679 | -57.309364256794 |
| 88 | 2939 | 4212.92461299868 | -1273.92461299868 |
| 89 | 4500 | 4591.22627310364 | -91.2262731036425 |
| 90 | 6208 | 5330.95625829778 | 877.043741702218 |
| 91 | 6415 | 5771.3271720984 | 643.672827901597 |
| 92 | 5657 | 5130.23171205238 | 526.768287947623 |
| 93 | 5964 | 4328.47185553148 | 1635.52814446852 |
| 94 | 3163 | 3417.12147506195 | -254.121475061953 |
| 95 | 1997 | 2476.6452771616 | -479.645277161598 |
| 96 | 2422 | 1827.42725356957 | 594.572746430434 |
| 97 | 1376 | 2395.95239707658 | -1019.95239707658 |
| 98 | 2202 | 2189.64335291364 | 12.3566470863615 |
| 99 | 2683 | 2546.95693566644 | 136.043064333563 |
| 100 | 3303 | 3048.42984999224 | 254.570150007758 |
| 101 | 5202 | 4914.08191991153 | 287.918080088465 |
| 102 | 5231 | 4882.79674744702 | 348.203252552984 |
| 103 | 4880 | 5468.44760537327 | -588.447605373274 |
| 104 | 7998 | 5853.53568006162 | 2144.46431993838 |
| 105 | 4977 | 4340.61600564247 | 636.383994357529 |
| 106 | 3531 | 3438.04709240711 | 92.952907592895 |
| 107 | 2025 | 2490.65814873204 | -465.658148732042 |
| 108 | 2205 | 1356.95141750947 | 848.048582490534 |
| 109 | 1442 | 869.409787661708 | 572.590212338292 |
| 110 | 2238 | 1604.48963566804 | 633.510364331964 |
| 111 | 2179 | 2440.54425394905 | -261.544253949048 |
| 112 | 3218 | 3883.09376040907 | -665.093760409072 |
| 113 | 5139 | 4364.11653160957 | 774.883468390431 |
| 114 | 4990 | 4970.817926895 | 19.1820731050013 |
| 115 | 4914 | 5566.24707279215 | -652.247072792147 |
| 116 | 6084 | 5644.8647243113 | 439.135275688701 |
| 117 | 5672 | 5211.8550023144 | 460.144997685604 |
| 118 | 3548 | 3740.22442252246 | -192.224422522462 |
| 119 | 1793 | 3305.01850249840 | -1512.01850249840 |
| 120 | 2086 | 1491.86785596301 | 594.132144036988 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.148222429568752 | 0.296444859137504 | 0.851777570431248 |
| 8 | 0.0676539919194865 | 0.135307983838973 | 0.932346008080513 |
| 9 | 0.16525153859388 | 0.33050307718776 | 0.83474846140612 |
| 10 | 0.507596842554986 | 0.984806314890028 | 0.492403157445014 |
| 11 | 0.627850219294707 | 0.744299561410586 | 0.372149780705293 |
| 12 | 0.58389968951034 | 0.83220062097932 | 0.41610031048966 |
| 13 | 0.488528011465952 | 0.977056022931903 | 0.511471988534048 |
| 14 | 0.406927455325146 | 0.813854910650293 | 0.593072544674853 |
| 15 | 0.318549897148497 | 0.637099794296993 | 0.681450102851503 |
| 16 | 0.26314083676478 | 0.52628167352956 | 0.73685916323522 |
| 17 | 0.217530991362509 | 0.435061982725018 | 0.782469008637491 |
| 18 | 0.221413927163821 | 0.442827854327642 | 0.778586072836179 |
| 19 | 0.554079654851474 | 0.891840690297051 | 0.445920345148526 |
| 20 | 0.486368039965243 | 0.972736079930487 | 0.513631960034757 |
| 21 | 0.584138355230532 | 0.831723289538935 | 0.415861644769468 |
| 22 | 0.842243272209105 | 0.31551345558179 | 0.157756727790895 |
| 23 | 0.824786957314128 | 0.350426085371744 | 0.175213042685872 |
| 24 | 0.856468250655436 | 0.287063498689127 | 0.143531749344564 |
| 25 | 0.847943638429916 | 0.304112723140169 | 0.152056361570084 |
| 26 | 0.864051375155735 | 0.271897249688530 | 0.135948624844265 |
| 27 | 0.839227858376145 | 0.321544283247711 | 0.160772141623855 |
| 28 | 0.813276337411391 | 0.373447325177218 | 0.186723662588609 |
| 29 | 0.76957085748322 | 0.46085828503356 | 0.23042914251678 |
| 30 | 0.721865080196941 | 0.556269839606118 | 0.278134919803059 |
| 31 | 0.774657127298557 | 0.450685745402886 | 0.225342872701443 |
| 32 | 0.742559273302118 | 0.514881453395763 | 0.257440726697882 |
| 33 | 0.697382352124954 | 0.605235295750092 | 0.302617647875046 |
| 34 | 0.67201023543497 | 0.65597952913006 | 0.32798976456503 |
| 35 | 0.737764763945518 | 0.524470472108965 | 0.262235236054482 |
| 36 | 0.69297283426726 | 0.61405433146548 | 0.30702716573274 |
| 37 | 0.64303213457522 | 0.71393573084956 | 0.35696786542478 |
| 38 | 0.698472850266936 | 0.603054299466128 | 0.301527149733064 |
| 39 | 0.711831995693159 | 0.576336008613682 | 0.288168004306841 |
| 40 | 0.674600034369018 | 0.650799931261964 | 0.325399965630982 |
| 41 | 0.642433502715997 | 0.715132994568005 | 0.357566497284003 |
| 42 | 0.628826786365426 | 0.742346427269147 | 0.371173213634574 |
| 43 | 0.708481049852671 | 0.583037900294658 | 0.291518950147329 |
| 44 | 0.676393303564863 | 0.647213392870275 | 0.323606696435137 |
| 45 | 0.635745650853958 | 0.728508698292084 | 0.364254349146042 |
| 46 | 0.603203858199159 | 0.793592283601683 | 0.396796141800841 |
| 47 | 0.642935470838553 | 0.714129058322894 | 0.357064529161447 |
| 48 | 0.606110579777599 | 0.787778840444802 | 0.393889420222401 |
| 49 | 0.563415252406514 | 0.873169495186971 | 0.436584747593486 |
| 50 | 0.540568016883539 | 0.918863966232922 | 0.459431983116461 |
| 51 | 0.486373182676405 | 0.97274636535281 | 0.513626817323595 |
| 52 | 0.493385088951102 | 0.986770177902205 | 0.506614911048898 |
| 53 | 0.508482531957605 | 0.98303493608479 | 0.491517468042395 |
| 54 | 0.454678101538284 | 0.909356203076567 | 0.545321898461717 |
| 55 | 0.423536381918268 | 0.847072763836536 | 0.576463618081732 |
| 56 | 0.378933778102611 | 0.757867556205221 | 0.621066221897389 |
| 57 | 0.332299369481983 | 0.664598738963967 | 0.667700630518017 |
| 58 | 0.309256476461317 | 0.618512952922635 | 0.690743523538683 |
| 59 | 0.281517056733529 | 0.563034113467057 | 0.718482943266471 |
| 60 | 0.296864084643359 | 0.593728169286717 | 0.703135915356641 |
| 61 | 0.260606312909936 | 0.521212625819871 | 0.739393687090064 |
| 62 | 0.25913441764626 | 0.51826883529252 | 0.74086558235374 |
| 63 | 0.225294962097919 | 0.450589924195838 | 0.774705037902081 |
| 64 | 0.190022909344026 | 0.380045818688052 | 0.809977090655974 |
| 65 | 0.196759332773716 | 0.393518665547431 | 0.803240667226284 |
| 66 | 0.180604045807647 | 0.361208091615294 | 0.819395954192353 |
| 67 | 0.150797469692944 | 0.301594939385887 | 0.849202530307056 |
| 68 | 0.141310320660169 | 0.282620641320338 | 0.858689679339831 |
| 69 | 0.120319213810005 | 0.240638427620009 | 0.879680786189995 |
| 70 | 0.179741997354227 | 0.359483994708454 | 0.820258002645773 |
| 71 | 0.152445654183607 | 0.304891308367214 | 0.847554345816393 |
| 72 | 0.151562728832606 | 0.303125457665212 | 0.848437271167394 |
| 73 | 0.134040032757734 | 0.268080065515468 | 0.865959967242266 |
| 74 | 0.123613286521128 | 0.247226573042256 | 0.876386713478872 |
| 75 | 0.115902820582353 | 0.231805641164705 | 0.884097179417647 |
| 76 | 0.101404019721639 | 0.202808039443278 | 0.898595980278361 |
| 77 | 0.0795202321720993 | 0.159040464344199 | 0.9204797678279 |
| 78 | 0.0852080137513282 | 0.170416027502656 | 0.914791986248672 |
| 79 | 0.105377143985960 | 0.210754287971921 | 0.89462285601404 |
| 80 | 0.0937819033150267 | 0.187563806630053 | 0.906218096684973 |
| 81 | 0.111657515095232 | 0.223315030190465 | 0.888342484904768 |
| 82 | 0.194732688350597 | 0.389465376701193 | 0.805267311649403 |
| 83 | 0.268093613175287 | 0.536187226350574 | 0.731906386824713 |
| 84 | 0.227051253936317 | 0.454102507872634 | 0.772948746063683 |
| 85 | 0.303708201638187 | 0.607416403276375 | 0.696291798361813 |
| 86 | 0.279185584582388 | 0.558371169164776 | 0.720814415417612 |
| 87 | 0.231825255695822 | 0.463650511391644 | 0.768174744304178 |
| 88 | 0.393704348439318 | 0.787408696878636 | 0.606295651560682 |
| 89 | 0.335741748608648 | 0.671483497217296 | 0.664258251391352 |
| 90 | 0.385558940633763 | 0.771117881267526 | 0.614441059366237 |
| 91 | 0.374687460804674 | 0.749374921609349 | 0.625312539195326 |
| 92 | 0.342732945289847 | 0.685465890579693 | 0.657267054710153 |
| 93 | 0.631145426163501 | 0.737709147672998 | 0.368854573836499 |
| 94 | 0.575511093972105 | 0.84897781205579 | 0.424488906027895 |
| 95 | 0.550769182098204 | 0.898461635803592 | 0.449230817901796 |
| 96 | 0.524852958725069 | 0.950294082549862 | 0.475147041274931 |
| 97 | 0.64024745762209 | 0.719505084755821 | 0.359752542377911 |
| 98 | 0.58309069319579 | 0.83381861360842 | 0.41690930680421 |
| 99 | 0.532464081181419 | 0.935071837637162 | 0.467535918818581 |
| 100 | 0.457736262719814 | 0.915472525439628 | 0.542263737280186 |
| 101 | 0.392481014538126 | 0.784962029076252 | 0.607518985461874 |
| 102 | 0.349290550218698 | 0.698581100437395 | 0.650709449781302 |
| 103 | 0.286613249299429 | 0.573226498598858 | 0.713386750700571 |
| 104 | 0.773068469093978 | 0.453863061812045 | 0.226931530906022 |
| 105 | 0.819346120483335 | 0.36130775903333 | 0.180653879516665 |
| 106 | 0.757832774465767 | 0.484334451068466 | 0.242167225534233 |
| 107 | 0.738235091181976 | 0.523529817636048 | 0.261764908818024 |
| 108 | 0.652578602006906 | 0.694842795986188 | 0.347421397993094 |
| 109 | 0.547698846613279 | 0.904602306773443 | 0.452301153386721 |
| 110 | 0.441960040534157 | 0.883920081068315 | 0.558039959465843 |
| 111 | 0.347926614633423 | 0.695853229266846 | 0.652073385366577 |
| 112 | 0.576928891204829 | 0.846142217590341 | 0.423071108795171 |
| 113 | 0.415060294216856 | 0.830120588433712 | 0.584939705783144 |
| 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 |
