Multiple Linear Regression - Estimated Regression Equation |
geboortes[t] = + 9.37499683097009 + 0.122482864440576huwelijk[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) | 9.37499683097009 | 0.120633 | 77.7151 | 0 | 0 |
huwelijk | 0.122482864440576 | 0.030606 | 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 | 0.000125324935773441 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.476581915316111 |
Sum Squared Residuals | 21.3502502685990 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 9.769 | 9.56839727392173 | 0.200602726078266 |
2 | 9.321 | 9.63784505805956 | -0.316845058059564 |
3 | 9.939 | 9.67654964322279 | 0.262450356777214 |
4 | 9.336 | 9.82757101507802 | -0.491571015078015 |
5 | 10.195 | 9.9667115490825 | 0.228288450917491 |
6 | 9.464 | 10.003823857008 | -0.539823857008004 |
7 | 10.01 | 10.1405147337237 | -0.130514733723687 |
8 | 10.213 | 10.0804981301478 | 0.132501869852195 |
9 | 9.563 | 10.1403922508592 | -0.577392250859245 |
10 | 9.89 | 9.73227934654325 | 0.157720653456753 |
11 | 9.305 | 9.58823949796113 | -0.283239497961131 |
12 | 9.391 | 9.6639339081854 | -0.272933908185407 |
13 | 9.928 | 9.5600684391398 | 0.367931560860202 |
14 | 8.686 | 9.62718904885323 | -0.941189048853234 |
15 | 9.843 | 9.697739178771 | 0.145260821228995 |
16 | 9.627 | 9.72615520332122 | -0.0991552033212184 |
17 | 10.074 | 9.91428888310194 | 0.159711116898057 |
18 | 9.503 | 10.0755988155702 | -0.572598815570181 |
19 | 10.119 | 9.92641468668156 | 0.192585313318440 |
20 | 10 | 10.0791508186390 | -0.0791508186389581 |
21 | 9.313 | 10.0642079091772 | -0.751207909177207 |
22 | 9.866 | 9.72358306316797 | 0.142416936832033 |
23 | 9.172 | 9.59081163811438 | -0.418811638114382 |
24 | 9.241 | 9.67250770869625 | -0.431507708696247 |
25 | 9.659 | 9.51817929950112 | 0.140820700498879 |
26 | 8.904 | 9.63882492097509 | -0.734824920975089 |
27 | 9.755 | 9.65046079309694 | 0.104539206903058 |
28 | 9.08 | 9.70410828772192 | -0.624108287721915 |
29 | 9.435 | 9.90889963706656 | -0.473899637066557 |
30 | 8.971 | 10.0341996073893 | -1.06319960738927 |
31 | 10.063 | 9.92114792351062 | 0.141852076489385 |
32 | 9.793 | 10.1586421976609 | -0.365642197660893 |
33 | 9.454 | 9.93792807593897 | -0.483928075938974 |
34 | 9.759 | 9.74538501303839 | 0.0136149869616109 |
35 | 8.82 | 9.60612199616945 | -0.786121996169454 |
36 | 9.403 | 9.62853636036208 | -0.225536360362080 |
37 | 9.676 | 9.5404711808293 | 0.135528819170694 |
38 | 8.642 | 9.64666382429929 | -1.00466382429929 |
39 | 9.402 | 9.67642716035835 | -0.274427160358346 |
40 | 9.61 | 9.74587494449615 | -0.135874944496152 |
41 | 9.294 | 9.9609548544538 | -0.666954854453802 |
42 | 9.448 | 9.98434908156195 | -0.536349081561952 |
43 | 10.319 | 9.93927538744782 | 0.37972461255218 |
44 | 9.548 | 10.1403922508592 | -0.592392250859246 |
45 | 9.801 | 9.96401692606482 | -0.163016926064817 |
46 | 9.596 | 9.76167523400899 | -0.165675234008986 |
47 | 8.923 | 9.60893910205159 | -0.685939102051588 |
48 | 9.746 | 9.6478886529437 | 0.0981113470563093 |
49 | 9.829 | 9.57023451688837 | 0.258765483111634 |
50 | 9.125 | 9.67716205754499 | -0.552162057544989 |
51 | 9.782 | 9.64715375575705 | 0.134846244242952 |
52 | 9.441 | 9.81679252300724 | -0.375792523007244 |
53 | 9.162 | 9.94882905087418 | -0.786829050874185 |
54 | 9.915 | 9.98275680432423 | -0.067756804324226 |
55 | 10.444 | 10.0817229587922 | 0.362277041207791 |
56 | 10.209 | 10.0462029281044 | 0.162797071895556 |
57 | 9.985 | 9.98741115317297 | -0.00241115317296757 |
58 | 9.842 | 9.77037151738427 | 0.0716284826157337 |
59 | 9.429 | 9.61910517980016 | -0.190105179800156 |
60 | 10.132 | 9.65523762481013 | 0.476762375189874 |
61 | 9.849 | 9.5685197567862 | 0.280480243213802 |
62 | 9.172 | 9.63355815780414 | -0.461558157804143 |
63 | 10.313 | 9.64347926982383 | 0.66952073017617 |
64 | 9.819 | 9.8160576258206 | 0.00294237417939925 |
65 | 9.955 | 9.94637939358537 | 0.00862060641462593 |
66 | 10.048 | 9.97222327798234 | 0.0757767220176644 |
67 | 10.082 | 10.0869897219632 | -0.0049897219631542 |
68 | 10.541 | 10.0595535603285 | 0.481446439671534 |
69 | 10.208 | 10.0279529813028 | 0.180047018697203 |
70 | 10.233 | 9.75163163912486 | 0.481368360875142 |
71 | 9.439 | 9.62020752558012 | -0.181207525580121 |
72 | 9.963 | 9.65744231637006 | 0.305557683629943 |
73 | 10.158 | 9.55957850768204 | 0.598421492317963 |
74 | 9.225 | 9.61898269693572 | -0.393982696935716 |
75 | 10.474 | 9.6796117148338 | 0.7943882851662 |
76 | 9.757 | 9.8024620278677 | -0.0454620278676980 |
77 | 10.49 | 9.94417470202544 | 0.545825297974556 |
78 | 10.281 | 10.0601659746507 | 0.220834025349332 |
79 | 10.444 | 10.0622481833462 | 0.381751816653842 |
80 | 10.64 | 10.0839276503521 | 0.55607234964786 |
81 | 10.695 | 10.1348805219594 | 0.56011947804058 |
82 | 10.786 | 9.74403770152954 | 1.04196229847046 |
83 | 9.832 | 9.61151124220484 | 0.220488757795161 |
84 | 9.747 | 9.68720565242912 | 0.059794347570884 |
85 | 10.411 | 9.55921105908871 | 0.851788940911285 |
86 | 9.511 | 9.6309860176509 | -0.119986017650892 |
87 | 10.402 | 9.70594553068852 | 0.696054469311475 |
88 | 9.701 | 9.73497396956094 | -0.03397396956094 |
89 | 10.54 | 9.92616972095268 | 0.61383027904732 |
90 | 10.112 | 10.1353704534172 | -0.0233704534171824 |
91 | 10.915 | 10.1607244063564 | 0.754275593643618 |
92 | 11.183 | 10.0678823951104 | 1.11511760488957 |
93 | 10.384 | 10.1054846344937 | 0.278515365506318 |
94 | 10.834 | 9.76241013119563 | 1.07158986880437 |
95 | 9.886 | 9.61959511125792 | 0.266404888742081 |
96 | 10.216 | 9.67165032864516 | 0.544349671354836 |
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 | 0.429806839214015 | 0.785096580392992 |
9 | 0.196272926202852 | 0.392545852405705 | 0.803727073797148 |
10 | 0.136644272221847 | 0.273288544443695 | 0.863355727778153 |
11 | 0.109144520236776 | 0.218289040473551 | 0.890855479763224 |
12 | 0.076010471241874 | 0.152020942483748 | 0.923989528758126 |
13 | 0.0706269731358916 | 0.141253946271783 | 0.929373026864108 |
14 | 0.250422421169435 | 0.500844842338869 | 0.749577578830565 |
15 | 0.203622830929254 | 0.407245661858508 | 0.796377169070746 |
16 | 0.146496942203768 | 0.292993884407535 | 0.853503057796232 |
17 | 0.121999561939501 | 0.243999123879001 | 0.8780004380605 |
18 | 0.114736083388784 | 0.229472166777567 | 0.885263916611216 |
19 | 0.100790418931515 | 0.201580837863031 | 0.899209581068485 |
20 | 0.071557927438672 | 0.143115854877344 | 0.928442072561328 |
21 | 0.0954489171712359 | 0.190897834342472 | 0.904551082828764 |
22 | 0.073647161087001 | 0.147294322174002 | 0.926352838912999 |
23 | 0.0677541171889386 | 0.135508234377877 | 0.932245882811061 |
24 | 0.0596107762403864 | 0.119221552480773 | 0.940389223759614 |
25 | 0.0440222543268646 | 0.0880445086537293 | 0.955977745673135 |
26 | 0.0699821949163957 | 0.139964389832791 | 0.930017805083604 |
27 | 0.0536095770322721 | 0.107219154064544 | 0.946390422967728 |
28 | 0.0625335402586693 | 0.125067080517339 | 0.93746645974133 |
29 | 0.0545140509220751 | 0.109028101844150 | 0.945485949077925 |
30 | 0.138221508453200 | 0.276443016906400 | 0.8617784915468 |
31 | 0.125815384559526 | 0.251630769119052 | 0.874184615440474 |
32 | 0.105462509052964 | 0.210925018105929 | 0.894537490947036 |
33 | 0.0970307605551455 | 0.194061521110291 | 0.902969239444855 |
34 | 0.0759557796731506 | 0.151911559346301 | 0.92404422032685 |
35 | 0.123103032809667 | 0.246206065619335 | 0.876896967190333 |
36 | 0.0984795154475077 | 0.196959030895015 | 0.901520484552492 |
37 | 0.0802681683050862 | 0.160536336610172 | 0.919731831694914 |
38 | 0.201820113042305 | 0.40364022608461 | 0.798179886957695 |
39 | 0.174641052117328 | 0.349282104234655 | 0.825358947882673 |
40 | 0.144738502805761 | 0.289477005611522 | 0.855261497194239 |
41 | 0.178044277647827 | 0.356088555295654 | 0.821955722352173 |
42 | 0.191128135450994 | 0.382256270901988 | 0.808871864549006 |
43 | 0.218923188941862 | 0.437846377883725 | 0.781076811058138 |
44 | 0.258722308023832 | 0.517444616047664 | 0.741277691976168 |
45 | 0.234169281879903 | 0.468338563759805 | 0.765830718120097 |
46 | 0.205390464852297 | 0.410780929704594 | 0.794609535147703 |
47 | 0.289225523380683 | 0.578451046761365 | 0.710774476619317 |
48 | 0.256484718029581 | 0.512969436059162 | 0.743515281970419 |
49 | 0.237201740713679 | 0.474403481427358 | 0.762798259286321 |
50 | 0.292373506194208 | 0.584747012388416 | 0.707626493805792 |
51 | 0.260515902010827 | 0.521031804021655 | 0.739484097989173 |
52 | 0.276217411161873 | 0.552434822323746 | 0.723782588838127 |
53 | 0.486914740527861 | 0.973829481055723 | 0.513085259472139 |
54 | 0.47481531716555 | 0.9496306343311 | 0.52518468283445 |
55 | 0.496489917321256 | 0.992979834642513 | 0.503510082678744 |
56 | 0.478872641041419 | 0.957745282082837 | 0.521127358958581 |
57 | 0.459922852127491 | 0.919845704254982 | 0.540077147872509 |
58 | 0.426173520683216 | 0.852347041366431 | 0.573826479316785 |
59 | 0.420643090173291 | 0.841286180346582 | 0.579356909826709 |
60 | 0.430162814544886 | 0.860325629089773 | 0.569837185455114 |
61 | 0.394592785470545 | 0.78918557094109 | 0.605407214529455 |
62 | 0.500981869962599 | 0.998036260074801 | 0.499018130037401 |
63 | 0.55642263513291 | 0.88715472973418 | 0.44357736486709 |
64 | 0.533029572421497 | 0.933940855157006 | 0.466970427578503 |
65 | 0.517445071023089 | 0.965109857953823 | 0.482554928976911 |
66 | 0.496980440876922 | 0.993960881753845 | 0.503019559123078 |
67 | 0.503186966453592 | 0.993626067092816 | 0.496813033546408 |
68 | 0.496993667536268 | 0.993987335072537 | 0.503006332463732 |
69 | 0.472667763239423 | 0.945335526478846 | 0.527332236760577 |
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 | 0.568580289144807 | 0.862839421710387 | 0.431419710855193 |
75 | 0.610295697030627 | 0.779408605938745 | 0.389704302969373 |
76 | 0.630015753686022 | 0.739968492627955 | 0.369984246313978 |
77 | 0.594944940411018 | 0.810110119177964 | 0.405055059588982 |
78 | 0.562422555817974 | 0.875154888364052 | 0.437577444182026 |
79 | 0.513212144200535 | 0.97357571159893 | 0.486787855799465 |
80 | 0.464556146423788 | 0.929112292847576 | 0.535443853576212 |
81 | 0.410989607100149 | 0.821979214200297 | 0.589010392899851 |
82 | 0.534646076100786 | 0.930707847798428 | 0.465353923899214 |
83 | 0.460636626273591 | 0.921273252547181 | 0.539363373726409 |
84 | 0.431670884293313 | 0.863341768586626 | 0.568329115706687 |
85 | 0.456797904639896 | 0.913595809279792 | 0.543202095360104 |
86 | 0.497998356445396 | 0.995996712890793 | 0.502001643554604 |
87 | 0.42983063946423 | 0.85966127892846 | 0.57016936053577 |
88 | 0.482762483723426 | 0.965524967446852 | 0.517237516276574 |
89 | 0.372001580136171 | 0.744003160272342 | 0.627998419863829 |
90 | 0.514393189669483 | 0.971213620661034 | 0.485606810330517 |
91 | 0.367156646250098 | 0.734313292500196 | 0.632843353749902 |
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 |