| Multiple Linear Regression - Estimated Regression Equation |
| geboortes[t] = + 9374.9968309701 + 0.122482864440576huwelijken[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) | 9374.9968309701 | 120.632919 | 77.7151 | 0 | 0 |
| huwelijken | 0.122482864440576 | 0.030606 | 4.0019 | 0.000125 | 6.3e-05 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.381537512253696 |
| R-squared | 0.145570873256740 |
| Adjusted R-squared | 0.136481201695641 |
| F-TEST (value) | 16.0149761493854 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 94 |
| p-value | 0.000125324935773441 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 476.581915316111 |
| Sum Squared Residuals | 21350250.2685991 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 9769 | 9568.39727392173 | 200.602726078269 |
| 2 | 9321 | 9637.84505805956 | -316.845058059564 |
| 3 | 9939 | 9676.54964322279 | 262.450356777214 |
| 4 | 9336 | 9827.57101507802 | -491.571015078016 |
| 5 | 10195 | 9966.7115490825 | 228.288450917490 |
| 6 | 9464 | 10003.823857008 | -539.823857008004 |
| 7 | 10010 | 10140.5147337237 | -130.514733723686 |
| 8 | 10213 | 10080.4981301478 | 132.501869852196 |
| 9 | 9563 | 10140.3922508592 | -577.392250859246 |
| 10 | 9890 | 9732.27934654325 | 157.720653456752 |
| 11 | 9305 | 9588.23949796113 | -283.239497961131 |
| 12 | 9391 | 9663.9339081854 | -272.933908185407 |
| 13 | 9928 | 9560.0684391398 | 367.931560860202 |
| 14 | 8686 | 9627.18904885323 | -941.189048853234 |
| 15 | 9843 | 9697.739178771 | 145.260821228995 |
| 16 | 9627 | 9726.15520332122 | -99.155203321219 |
| 17 | 10074 | 9914.28888310194 | 159.711116898057 |
| 18 | 9503 | 10075.5988155702 | -572.598815570181 |
| 19 | 10119 | 9926.41468668156 | 192.58531331844 |
| 20 | 10000 | 10079.1508186390 | -79.150818638958 |
| 21 | 9313 | 10064.2079091772 | -751.207909177208 |
| 22 | 9866 | 9723.58306316797 | 142.416936832033 |
| 23 | 9172 | 9590.81163811438 | -418.811638114383 |
| 24 | 9241 | 9672.50770869625 | -431.507708696247 |
| 25 | 9659 | 9518.17929950112 | 140.820700498878 |
| 26 | 8904 | 9638.82492097509 | -734.824920975089 |
| 27 | 9755 | 9650.46079309694 | 104.539206903057 |
| 28 | 9080 | 9704.10828772192 | -624.108287721915 |
| 29 | 9435 | 9908.89963706656 | -473.899637066558 |
| 30 | 8971 | 10034.1996073893 | -1063.19960738927 |
| 31 | 10063 | 9921.14792351062 | 141.852076489385 |
| 32 | 9793 | 10158.6421976609 | -365.642197660892 |
| 33 | 9454 | 9937.92807593897 | -483.928075938974 |
| 34 | 9759 | 9745.38501303839 | 13.6149869616106 |
| 35 | 8820 | 9606.12199616946 | -786.121996169455 |
| 36 | 9403 | 9628.53636036208 | -225.53636036208 |
| 37 | 9676 | 9540.4711808293 | 135.528819170694 |
| 38 | 8642 | 9646.66382429928 | -1004.66382429929 |
| 39 | 9402 | 9676.42716035835 | -274.427160358345 |
| 40 | 9610 | 9745.87494449615 | -135.874944496152 |
| 41 | 9294 | 9960.9548544538 | -666.954854453803 |
| 42 | 9448 | 9984.34908156195 | -536.349081561952 |
| 43 | 10319 | 9939.27538744782 | 379.724612552179 |
| 44 | 9548 | 10140.3922508592 | -592.392250859246 |
| 45 | 9801 | 9964.01692606482 | -163.016926064817 |
| 46 | 9596 | 9761.67523400899 | -165.675234008986 |
| 47 | 8923 | 9608.93910205159 | -685.939102051588 |
| 48 | 9746 | 9647.8886529437 | 98.1113470563089 |
| 49 | 9829 | 9570.23451688837 | 258.765483111634 |
| 50 | 9125 | 9677.16205754499 | -552.162057544989 |
| 51 | 9782 | 9647.15375575705 | 134.846244242952 |
| 52 | 9441 | 9816.79252300725 | -375.792523007245 |
| 53 | 9162 | 9948.82905087418 | -786.829050874186 |
| 54 | 9915 | 9982.75680432422 | -67.756804324225 |
| 55 | 10444 | 10081.7229587922 | 362.27704120779 |
| 56 | 10209 | 10046.2029281044 | 162.797071895557 |
| 57 | 9985 | 9987.41115317297 | -2.41115317296683 |
| 58 | 9842 | 9770.37151738427 | 71.6284826157332 |
| 59 | 9429 | 9619.10517980016 | -190.105179800156 |
| 60 | 10132 | 9655.23762481013 | 476.762375189874 |
| 61 | 9849 | 9568.5197567862 | 280.480243213802 |
| 62 | 9172 | 9633.55815780414 | -461.558157804144 |
| 63 | 10313 | 9643.47926982383 | 669.52073017617 |
| 64 | 9819 | 9816.0576258206 | 2.94237417939849 |
| 65 | 9955 | 9946.37939358537 | 8.62060641462601 |
| 66 | 10048 | 9972.22327798234 | 75.7767220176646 |
| 67 | 10082 | 10086.9897219632 | -4.98972196315485 |
| 68 | 10541 | 10059.5535603285 | 481.446439671534 |
| 69 | 10208 | 10027.9529813028 | 180.047018697203 |
| 70 | 10233 | 9751.63163912486 | 481.368360875141 |
| 71 | 9439 | 9620.20752558012 | -181.207525580121 |
| 72 | 9963 | 9657.44231637006 | 305.557683629944 |
| 73 | 10158 | 9559.57850768204 | 598.421492317964 |
| 74 | 9225 | 9618.98269693571 | -393.982696935715 |
| 75 | 10474 | 9679.6117148338 | 794.3882851662 |
| 76 | 9757 | 9802.4620278677 | -45.4620278676976 |
| 77 | 10490 | 9944.17470202544 | 545.825297974556 |
| 78 | 10281 | 10060.1659746507 | 220.834025349331 |
| 79 | 10444 | 10062.2481833462 | 381.751816653842 |
| 80 | 10640 | 10083.9276503521 | 556.07234964786 |
| 81 | 10695 | 10134.8805219594 | 560.11947804058 |
| 82 | 10786 | 9744.03770152954 | 1041.96229847046 |
| 83 | 9832 | 9611.51124220484 | 220.48875779516 |
| 84 | 9747 | 9687.20565242912 | 59.7943475708841 |
| 85 | 10411 | 9559.21105908872 | 851.788940911286 |
| 86 | 9511 | 9630.9860176509 | -119.986017650892 |
| 87 | 10402 | 9705.94553068852 | 696.054469311476 |
| 88 | 9701 | 9734.97396956094 | -33.9739695609404 |
| 89 | 10540 | 9926.16972095268 | 613.830279047321 |
| 90 | 10112 | 10135.3704534172 | -23.3704534171822 |
| 91 | 10915 | 10160.7244063564 | 754.275593643619 |
| 92 | 11183 | 10067.8823951104 | 1115.11760488957 |
| 93 | 10384 | 10105.4846344937 | 278.515365506318 |
| 94 | 10834 | 9762.41013119563 | 1071.58986880437 |
| 95 | 9886 | 9619.59511125792 | 266.404888742082 |
| 96 | 10216 | 9671.65032864516 | 544.349671354837 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.451898136511276 | 0.903796273022552 | 0.548101863488724 |
| 6 | 0.385084640685739 | 0.770169281371478 | 0.614915359314261 |
| 7 | 0.268701338333755 | 0.53740267666751 | 0.731298661666245 |
| 8 | 0.214903419607008 | 0.429806839214016 | 0.785096580392992 |
| 9 | 0.196272926202853 | 0.392545852405705 | 0.803727073797147 |
| 10 | 0.136644272221847 | 0.273288544443695 | 0.863355727778153 |
| 11 | 0.109144520236776 | 0.218289040473552 | 0.890855479763224 |
| 12 | 0.076010471241874 | 0.152020942483748 | 0.923989528758126 |
| 13 | 0.0706269731358913 | 0.141253946271783 | 0.929373026864109 |
| 14 | 0.250422421169435 | 0.500844842338869 | 0.749577578830566 |
| 15 | 0.203622830929254 | 0.407245661858508 | 0.796377169070746 |
| 16 | 0.146496942203767 | 0.292993884407534 | 0.853503057796233 |
| 17 | 0.121999561939501 | 0.243999123879001 | 0.8780004380605 |
| 18 | 0.114736083388783 | 0.229472166777567 | 0.885263916611217 |
| 19 | 0.100790418931515 | 0.201580837863031 | 0.899209581068485 |
| 20 | 0.0715579274386718 | 0.143115854877344 | 0.928442072561328 |
| 21 | 0.0954489171712365 | 0.190897834342473 | 0.904551082828764 |
| 22 | 0.073647161087001 | 0.147294322174002 | 0.926352838912999 |
| 23 | 0.0677541171889389 | 0.135508234377878 | 0.932245882811061 |
| 24 | 0.0596107762403864 | 0.119221552480773 | 0.940389223759614 |
| 25 | 0.0440222543268648 | 0.0880445086537296 | 0.955977745673135 |
| 26 | 0.0699821949163954 | 0.139964389832791 | 0.930017805083605 |
| 27 | 0.0536095770322717 | 0.107219154064543 | 0.946390422967728 |
| 28 | 0.0625335402586693 | 0.125067080517339 | 0.93746645974133 |
| 29 | 0.0545140509220755 | 0.109028101844151 | 0.945485949077924 |
| 30 | 0.138221508453200 | 0.276443016906400 | 0.8617784915468 |
| 31 | 0.125815384559526 | 0.251630769119052 | 0.874184615440474 |
| 32 | 0.105462509052964 | 0.210925018105928 | 0.894537490947036 |
| 33 | 0.0970307605551455 | 0.194061521110291 | 0.902969239444855 |
| 34 | 0.0759557796731503 | 0.151911559346301 | 0.92404422032685 |
| 35 | 0.123103032809666 | 0.246206065619332 | 0.876896967190334 |
| 36 | 0.098479515447507 | 0.196959030895014 | 0.901520484552493 |
| 37 | 0.080268168305085 | 0.16053633661017 | 0.919731831694915 |
| 38 | 0.201820113042306 | 0.403640226084611 | 0.798179886957694 |
| 39 | 0.174641052117326 | 0.349282104234653 | 0.825358947882674 |
| 40 | 0.14473850280576 | 0.28947700561152 | 0.85526149719424 |
| 41 | 0.178044277647826 | 0.356088555295652 | 0.821955722352174 |
| 42 | 0.191128135450993 | 0.382256270901987 | 0.808871864549007 |
| 43 | 0.218923188941862 | 0.437846377883723 | 0.781076811058138 |
| 44 | 0.258722308023831 | 0.517444616047662 | 0.741277691976169 |
| 45 | 0.2341692818799 | 0.4683385637598 | 0.7658307181201 |
| 46 | 0.205390464852295 | 0.41078092970459 | 0.794609535147705 |
| 47 | 0.289225523380681 | 0.578451046761361 | 0.71077447661932 |
| 48 | 0.25648471802958 | 0.51296943605916 | 0.74351528197042 |
| 49 | 0.237201740713678 | 0.474403481427356 | 0.762798259286322 |
| 50 | 0.292373506194207 | 0.584747012388413 | 0.707626493805793 |
| 51 | 0.260515902010827 | 0.521031804021655 | 0.739484097989173 |
| 52 | 0.27621741116187 | 0.55243482232374 | 0.72378258883813 |
| 53 | 0.486914740527857 | 0.973829481055714 | 0.513085259472143 |
| 54 | 0.474815317165548 | 0.949630634331097 | 0.525184682834452 |
| 55 | 0.496489917321255 | 0.99297983464251 | 0.503510082678745 |
| 56 | 0.478872641041418 | 0.957745282082836 | 0.521127358958582 |
| 57 | 0.459922852127489 | 0.919845704254978 | 0.540077147872511 |
| 58 | 0.426173520683216 | 0.852347041366433 | 0.573826479316784 |
| 59 | 0.42064309017329 | 0.84128618034658 | 0.57935690982671 |
| 60 | 0.430162814544883 | 0.860325629089766 | 0.569837185455117 |
| 61 | 0.394592785470542 | 0.789185570941085 | 0.605407214529458 |
| 62 | 0.500981869962598 | 0.998036260074804 | 0.499018130037402 |
| 63 | 0.55642263513291 | 0.88715472973418 | 0.44357736486709 |
| 64 | 0.533029572421492 | 0.933940855157015 | 0.466970427578508 |
| 65 | 0.517445071023088 | 0.965109857953824 | 0.482554928976912 |
| 66 | 0.496980440876919 | 0.993960881753838 | 0.503019559123081 |
| 67 | 0.50318696645359 | 0.99362606709282 | 0.49681303354641 |
| 68 | 0.496993667536268 | 0.993987335072536 | 0.503006332463732 |
| 69 | 0.472667763239422 | 0.945335526478844 | 0.527332236760578 |
| 70 | 0.451038684896732 | 0.902077369793463 | 0.548961315103268 |
| 71 | 0.472680358451616 | 0.945360716903233 | 0.527319641548384 |
| 72 | 0.425236211680509 | 0.850472423361018 | 0.574763788319491 |
| 73 | 0.418940383874565 | 0.83788076774913 | 0.581059616125435 |
| 74 | 0.568580289144805 | 0.86283942171039 | 0.431419710855195 |
| 75 | 0.610295697030626 | 0.779408605938748 | 0.389704302969374 |
| 76 | 0.630015753686022 | 0.739968492627955 | 0.369984246313978 |
| 77 | 0.594944940411019 | 0.810110119177962 | 0.405055059588981 |
| 78 | 0.562422555817974 | 0.875154888364053 | 0.437577444182027 |
| 79 | 0.513212144200536 | 0.973575711598928 | 0.486787855799464 |
| 80 | 0.464556146423788 | 0.929112292847576 | 0.535443853576212 |
| 81 | 0.410989607100148 | 0.821979214200295 | 0.589010392899852 |
| 82 | 0.534646076100786 | 0.93070784779843 | 0.465353923899215 |
| 83 | 0.46063662627359 | 0.92127325254718 | 0.53936337372641 |
| 84 | 0.431670884293312 | 0.863341768586623 | 0.568329115706688 |
| 85 | 0.456797904639893 | 0.913595809279787 | 0.543202095360107 |
| 86 | 0.497998356445395 | 0.99599671289079 | 0.502001643554605 |
| 87 | 0.429830639464229 | 0.859661278928459 | 0.570169360535771 |
| 88 | 0.482762483723425 | 0.96552496744685 | 0.517237516276575 |
| 89 | 0.372001580136170 | 0.744003160272341 | 0.62799841986383 |
| 90 | 0.514393189669482 | 0.971213620661035 | 0.485606810330518 |
| 91 | 0.367156646250097 | 0.734313292500195 | 0.632843353749903 |
| 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 | 1 | 0.0114942528735632 | OK |
