| Multiple Linear Regression - Estimated Regression Equation |
| Kijkcijfers[t] = + 22305689.4422709 -434868.354365401Temperatuur[t] + 126331.126374946Neerslag[t] -2972.05562531293Zonneschijnduur[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) | 22305689.4422709 | 416070.775861 | 53.6103 | 0 | 0 |
| Temperatuur | -434868.354365401 | 39673.981852 | -10.961 | 0 | 0 |
| Neerslag | 126331.126374946 | 84185.188156 | 1.5006 | 0.136601 | 0.068301 |
| Zonneschijnduur | -2972.05562531293 | 1457.840352 | -2.0387 | 0.044122 | 0.022061 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.869955756825498 |
| R-squared | 0.756823018833825 |
| Adjusted R-squared | 0.74952770939884 |
| F-TEST (value) | 103.741044239250 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 100 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 1878997.01130159 |
| Sum Squared Residuals | 353062976848032 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 15561600 | 15490361.1713656 | 71238.82863437 |
| 2 | 14917500 | 14310397.2531482 | 607102.74685184 |
| 3 | 14805920 | 15720123.6022421 | -914203.602242134 |
| 4 | 16958000 | 15726260.8176737 | 1231739.18232631 |
| 5 | 17605000 | 18680085.4248317 | -1075085.42483165 |
| 6 | 17131200 | 15912560.4636418 | 1218639.53635820 |
| 7 | 18474600 | 16360933.2761583 | 2113666.72384173 |
| 8 | 17286700 | 17448592.7519948 | -161892.751994826 |
| 9 | 18574400 | 19371376.0969790 | -796976.096979023 |
| 10 | 18056000 | 17881378.7473251 | 174621.252674884 |
| 11 | 19701600 | 18193271.1424013 | 1508328.85759866 |
| 12 | 19061700 | 20303963.2098513 | -1242263.20985127 |
| 13 | 19681900 | 21218943.8582164 | -1537043.85821644 |
| 14 | 34521200 | 21079866.7838984 | 13441333.2161016 |
| 15 | 19922700 | 21496215.0888637 | -1573515.08886374 |
| 16 | 20177900 | 20077898.3384324 | 100001.661567644 |
| 17 | 19759900 | 20404957.6706159 | -645057.670615948 |
| 18 | 23076700 | 22707458.8031836 | 369241.196816442 |
| 19 | 22532000 | 23511818.9937372 | -979818.9937372 |
| 20 | 22029400 | 20557709.9942359 | 1471690.00576408 |
| 21 | 22587000 | 21023773.0399239 | 1563226.96007615 |
| 22 | 23256600 | 21376647.4913257 | 1879952.50867427 |
| 23 | 22680300 | 20919524.4269717 | 1760775.57302831 |
| 24 | 21916400 | 21537399.3109462 | 379000.689053752 |
| 25 | 19640200 | 20638523.5690154 | -998323.56901536 |
| 26 | 18813100 | 19272970.77807 | -459870.778070012 |
| 27 | 18730000 | 19410465.3009503 | -680465.300950303 |
| 28 | 18154700 | 18710750.8454649 | -556050.845464931 |
| 29 | 17848800 | 17655980.6954916 | 192819.304508351 |
| 30 | 18077500 | 19932319.6256094 | -1854819.62560937 |
| 31 | 17133100 | 16224791.3952393 | 908308.60476068 |
| 32 | 16602600 | 15457769.9224888 | 1144830.07751123 |
| 33 | 15878900 | 16371392.9234379 | -492492.923437881 |
| 34 | 15789100 | 15519155.8361636 | 269944.163836361 |
| 35 | 15422000 | 16273032.2617699 | -851032.261769895 |
| 36 | 14661400 | 15932807.3062624 | -1271407.30626237 |
| 37 | 15879200 | 16422108.3077731 | -542908.307773114 |
| 38 | 14339300 | 13644389.1606875 | 694910.839312545 |
| 39 | 13169600 | 14045009.3962156 | -875409.396215589 |
| 40 | 14528900 | 15044675.8666604 | -515775.866660434 |
| 41 | 13375800 | 15713627.2075897 | -2337827.20758967 |
| 42 | 12309900 | 14209486.8274132 | -1899586.82741321 |
| 43 | 11933900 | 12375765.6740081 | -441865.674008106 |
| 44 | 10061900 | 10547356.2663483 | -485456.26634826 |
| 45 | 12609600 | 15085478.3946368 | -2475878.39463682 |
| 46 | 11156500 | 12869085.5910468 | -1712585.59104675 |
| 47 | 12187200 | 13686075.8341398 | -1498875.83413984 |
| 48 | 11284300 | 13411471.7208982 | -2127171.72089820 |
| 49 | 10177000 | 11726883.4857667 | -1549883.48576668 |
| 50 | 10970720 | 12818577.6758419 | -1847857.67584192 |
| 51 | 10820680 | 11923852.5686699 | -1103172.56866989 |
| 52 | 11492390 | 13328455.2941103 | -1836065.29411029 |
| 53 | 14573750 | 14744180.0705738 | -170430.070573815 |
| 54 | 13992820 | 13995549.4203239 | -2729.42032390920 |
| 55 | 14727070 | 14468087.6223733 | 258982.377626654 |
| 56 | 15685360 | 14448400.4412023 | 1236959.55879772 |
| 57 | 16736210 | 16250996.3468984 | 485213.653101552 |
| 58 | 17950180 | 17613352.1435398 | 336827.856460245 |
| 59 | 17002730 | 17251389.6148101 | -248659.614810066 |
| 60 | 17415160 | 17325525.6271164 | 89634.3728836058 |
| 61 | 17929810 | 17027167.6447325 | 902642.355267474 |
| 62 | 17865790 | 18870225.1600536 | -1004435.16005359 |
| 63 | 19202360 | 17939491.2281819 | 1262868.77181809 |
| 64 | 19085000 | 16860936.5607807 | 2224063.43921929 |
| 65 | 18188880 | 17671302.2578206 | 517577.742179371 |
| 66 | 18466410 | 19683499.7647815 | -1217089.76478154 |
| 67 | 18520400 | 19643586.5450209 | -1123186.54502089 |
| 68 | 20025500 | 23297614.3093677 | -3272114.30936766 |
| 69 | 20636100 | 21416866.473144 | -780766.473143981 |
| 70 | 20672000 | 21981400.5856402 | -1309400.58564018 |
| 71 | 22589100 | 23552239.0192337 | -963139.019233702 |
| 72 | 21864800 | 21674701.4033889 | 190098.596611128 |
| 73 | 22750100 | 20844991.8836037 | 1905108.11639635 |
| 74 | 22548746 | 22295637.4753704 | 253108.524629565 |
| 75 | 21325495 | 20620855.9058313 | 704639.09416875 |
| 76 | 21556563 | 23362470.7376630 | -1805907.73766297 |
| 77 | 21415269 | 21401204.1372740 | 14064.8627259743 |
| 78 | 20401054 | 20058685.0723197 | 342368.927680251 |
| 79 | 19062253 | 20474555.5190159 | -1412302.5190159 |
| 80 | 19085706 | 20780466.8950475 | -1694760.89504747 |
| 81 | 19279967 | 17443381.1693506 | 1836585.83064943 |
| 82 | 18552045 | 17144197.2568856 | 1407847.74311437 |
| 83 | 17800733 | 19033628.5740772 | -1232895.57407722 |
| 84 | 17142490 | 17220370.0643330 | -77880.0643329632 |
| 85 | 17593173 | 16472263.5724632 | 1120909.42753676 |
| 86 | 17633859 | 16176998.1936560 | 1456860.80634404 |
| 87 | 17336613 | 15331354.6838832 | 2005258.31611680 |
| 88 | 17008347 | 18325063.0820513 | -1316716.08205131 |
| 89 | 17951965 | 18513764.5725072 | -561799.572507217 |
| 90 | 14520929 | 14302074.4030886 | 218854.596911391 |
| 91 | 16941217 | 15297482.7367568 | 1643734.26324323 |
| 92 | 15436824 | 13573699.5239808 | 1863124.47601917 |
| 93 | 14744261 | 14704077.7296071 | 40183.2703928535 |
| 94 | 14248004 | 14832295.4360174 | -584291.43601736 |
| 95 | 11540953 | 11895620.9999059 | -354667.999905936 |
| 96 | 12881661 | 10567608.3721974 | 2314052.62780264 |
| 97 | 15185757 | 11141637.3081690 | 4044119.69183104 |
| 98 | 13554339 | 12835639.9844747 | 718699.015525282 |
| 99 | 13575106 | 12358075.9516642 | 1217030.04833585 |
| 100 | 12238400 | 13716522.2798913 | -1478122.27989129 |
| 101 | 13303614 | 14425383.1448668 | -1121769.14486684 |
| 102 | 14151478 | 15295690.3474423 | -1144212.34744231 |
| 103 | 14172009 | 14765178.6045297 | -593169.604529667 |
| 104 | 14022320 | 14924024.6533574 | -901704.653357371 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.188779342198484 | 0.377558684396969 | 0.811220657801516 |
| 8 | 0.129884772408617 | 0.259769544817234 | 0.870115227591383 |
| 9 | 0.0899890376606273 | 0.179978075321255 | 0.910010962339373 |
| 10 | 0.0419162018936496 | 0.0838324037872992 | 0.95808379810635 |
| 11 | 0.0281462428905723 | 0.0562924857811447 | 0.971853757109428 |
| 12 | 0.0207456026133941 | 0.0414912052267882 | 0.979254397386606 |
| 13 | 0.0115475071849243 | 0.0230950143698486 | 0.988452492815076 |
| 14 | 0.999999999876463 | 2.47073627798120e-10 | 1.23536813899060e-10 |
| 15 | 0.999999999917422 | 1.65155558565784e-10 | 8.25777792828921e-11 |
| 16 | 0.999999999759125 | 4.81750852227103e-10 | 2.40875426113552e-10 |
| 17 | 0.99999999939219 | 1.21561959645478e-09 | 6.07809798227388e-10 |
| 18 | 0.999999998316634 | 3.36673272220064e-09 | 1.68336636110032e-09 |
| 19 | 0.999999996148557 | 7.70288563352005e-09 | 3.85144281676003e-09 |
| 20 | 0.999999993377777 | 1.32444456700882e-08 | 6.62222283504409e-09 |
| 21 | 0.999999990201147 | 1.95977057799035e-08 | 9.79885288995176e-09 |
| 22 | 0.999999990800004 | 1.83999917004563e-08 | 9.19999585022817e-09 |
| 23 | 0.999999989429815 | 2.11403694849846e-08 | 1.05701847424923e-08 |
| 24 | 0.999999979762629 | 4.0474742660253e-08 | 2.02373713301265e-08 |
| 25 | 0.99999996858869 | 6.2822620748779e-08 | 3.14113103743895e-08 |
| 26 | 0.999999930916918 | 1.38166163183575e-07 | 6.90830815917875e-08 |
| 27 | 0.999999859915297 | 2.80169404998429e-07 | 1.40084702499214e-07 |
| 28 | 0.999999719868408 | 5.60263183294047e-07 | 2.80131591647023e-07 |
| 29 | 0.999999399265806 | 1.20146838851502e-06 | 6.00734194257508e-07 |
| 30 | 0.999999536486686 | 9.27026628746296e-07 | 4.63513314373148e-07 |
| 31 | 0.99999919792199 | 1.60415602175062e-06 | 8.02078010875312e-07 |
| 32 | 0.999998712243626 | 2.57551274822201e-06 | 1.28775637411100e-06 |
| 33 | 0.999997598324104 | 4.8033517927108e-06 | 2.4016758963554e-06 |
| 34 | 0.99999523722285 | 9.52555429910376e-06 | 4.76277714955188e-06 |
| 35 | 0.999991843296413 | 1.63134071744172e-05 | 8.1567035872086e-06 |
| 36 | 0.999988223088245 | 2.35538235104834e-05 | 1.17769117552417e-05 |
| 37 | 0.99997928990814 | 4.14201837212818e-05 | 2.07100918606409e-05 |
| 38 | 0.999965004430485 | 6.99911390292732e-05 | 3.49955695146366e-05 |
| 39 | 0.999943584811403 | 0.000112830377193601 | 5.64151885968005e-05 |
| 40 | 0.999901550940508 | 0.000196898118984857 | 9.84490594924286e-05 |
| 41 | 0.99993011357661 | 0.000139772846781835 | 6.98864233909177e-05 |
| 42 | 0.999930259980163 | 0.000139480039673531 | 6.97400198367655e-05 |
| 43 | 0.999881143683651 | 0.000237712632697800 | 0.000118856316348900 |
| 44 | 0.999810647023121 | 0.000378705953757276 | 0.000189352976878638 |
| 45 | 0.999880280486069 | 0.000239439027862868 | 0.000119719513931434 |
| 46 | 0.999879670387959 | 0.000240659224082631 | 0.000120329612041316 |
| 47 | 0.999863479728201 | 0.000273040543597533 | 0.000136520271798767 |
| 48 | 0.999906909111145 | 0.000186181777709998 | 9.3090888854999e-05 |
| 49 | 0.999921062490143 | 0.000157875019714198 | 7.89375098570989e-05 |
| 50 | 0.999949509753135 | 0.000100980493729532 | 5.04902468647660e-05 |
| 51 | 0.999954811233941 | 9.037753211747e-05 | 4.5188766058735e-05 |
| 52 | 0.99997868306701 | 4.26338659794134e-05 | 2.13169329897067e-05 |
| 53 | 0.999964206295605 | 7.15874087904927e-05 | 3.57937043952463e-05 |
| 54 | 0.999943381907024 | 0.000113236185951527 | 5.66180929757637e-05 |
| 55 | 0.99990433635821 | 0.000191327283580389 | 9.56636417901943e-05 |
| 56 | 0.999857553403479 | 0.000284893193042322 | 0.000142446596521161 |
| 57 | 0.999749443852844 | 0.000501112294311871 | 0.000250556147155935 |
| 58 | 0.999617996921863 | 0.000764006156273281 | 0.000382003078136641 |
| 59 | 0.999371671893314 | 0.00125665621337179 | 0.000628328106685895 |
| 60 | 0.998943067678293 | 0.00211386464341457 | 0.00105693232170729 |
| 61 | 0.998409717261602 | 0.00318056547679645 | 0.00159028273839823 |
| 62 | 0.997731611217619 | 0.00453677756476262 | 0.00226838878238131 |
| 63 | 0.997161509541829 | 0.00567698091634203 | 0.00283849045817102 |
| 64 | 0.997999314668914 | 0.00400137066217287 | 0.00200068533108644 |
| 65 | 0.997125200147017 | 0.005749599705966 | 0.002874799852983 |
| 66 | 0.996053966798651 | 0.00789206640269781 | 0.00394603320134891 |
| 67 | 0.994511981148273 | 0.0109760377034545 | 0.00548801885172723 |
| 68 | 0.997996211852906 | 0.00400757629418872 | 0.00200378814709436 |
| 69 | 0.996824370437496 | 0.00635125912500848 | 0.00317562956250424 |
| 70 | 0.995560601940072 | 0.00887879611985685 | 0.00443939805992843 |
| 71 | 0.993331133227067 | 0.0133377335458661 | 0.00666886677293305 |
| 72 | 0.99024181546079 | 0.0195163690784191 | 0.00975818453920953 |
| 73 | 0.994607094159168 | 0.0107858116816636 | 0.00539290584083181 |
| 74 | 0.992548358860804 | 0.0149032822783928 | 0.00745164113919642 |
| 75 | 0.992188187110604 | 0.0156236257787916 | 0.00781181288939582 |
| 76 | 0.989032532888038 | 0.0219349342239247 | 0.0109674671119624 |
| 77 | 0.985571284540928 | 0.0288574309181443 | 0.0144287154590722 |
| 78 | 0.985216461442364 | 0.0295670771152719 | 0.0147835385576360 |
| 79 | 0.980660224137828 | 0.0386795517243448 | 0.0193397758621724 |
| 80 | 0.976238543620657 | 0.0475229127586868 | 0.0237614563793434 |
| 81 | 0.988292863345485 | 0.0234142733090297 | 0.0117071366545149 |
| 82 | 0.992078333141645 | 0.0158433337167108 | 0.00792166685835539 |
| 83 | 0.986528096189582 | 0.0269438076208363 | 0.0134719038104181 |
| 84 | 0.97706978412898 | 0.0458604317420406 | 0.0229302158710203 |
| 85 | 0.964476315911105 | 0.0710473681777905 | 0.0355236840888952 |
| 86 | 0.948760676827734 | 0.102478646344532 | 0.051239323172266 |
| 87 | 0.95760065014942 | 0.0847986997011583 | 0.0423993498505792 |
| 88 | 0.933589407330734 | 0.132821185338532 | 0.0664105926692661 |
| 89 | 0.926729353910136 | 0.146541292179727 | 0.0732706460898636 |
| 90 | 0.892927747076305 | 0.214144505847391 | 0.107072252923695 |
| 91 | 0.935524257564216 | 0.128951484871567 | 0.0644757424357835 |
| 92 | 0.954226379569691 | 0.091547240860618 | 0.045773620430309 |
| 93 | 0.941788713598712 | 0.116422572802576 | 0.0582112864012881 |
| 94 | 0.95876480524841 | 0.0824703895031806 | 0.0412351947515903 |
| 95 | 0.96816364107888 | 0.0636727178422384 | 0.0318363589211192 |
| 96 | 0.963419013442774 | 0.073161973114451 | 0.0365809865572255 |
| 97 | 0.97245371352501 | 0.0550925729499817 | 0.0275462864749909 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 56 | 0.615384615384615 | NOK |
| 5% type I error level | 73 | 0.802197802197802 | NOK |
| 10% type I error level | 82 | 0.901098901098901 | NOK |
