Multiple Linear Regression - Estimated Regression Equation
Huwelijken[t] = + 2392.63212121212 -126.354545454546Dummy[t] -834.023636363627M1[t] -156.956969696964M2[t] + 191.509696969704M3[t] + 1049.84303030304M4[t] + 2599.30969696970M5[t] + 3105.04303030304M6[t] + 3245.06666666668M7[t] + 3857.73333333334M8[t] + 3231.13333333334M9[t] + 932.733333333333M10[t] -376.666666666665M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2392.63212121212118.7481320.148800
Dummy-126.35454545454666.895194-1.88880.0606460.030323
M1-834.023636363627162.08957-5.14541e-060
M2-156.956969696964162.08957-0.96830.3342770.167139
M3191.509696969704162.089571.18150.2390820.119541
M41049.84303030304162.089576.476900
M52599.30969696970162.0895716.036300
M63105.04303030304162.0895719.156300
M73245.06666666668162.02820720.027800
M83857.73333333334162.02820723.80900
M93231.13333333334162.02820719.941800
M10932.733333333333162.0282075.756600
M11-376.666666666665162.028207-2.32470.0212920.010646


Multiple Linear Regression - Regression Statistics
Multiple R0.966902537180792
R-squared0.934900516406653
Adjusted R-squared0.93022270920234
F-TEST (value)199.858710625095
F-TEST (DF numerator)12
F-TEST (DF denominator)167
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation443.732519561854
Sum Squared Residuals32882057.6690908


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
117751558.60848484848216.391515151523
221972235.67515151514-38.6751515151388
329202584.14181818183335.858181818171
442403442.47515151514797.524848484856
554154991.94181818183423.058181818171
661365497.67515151516638.324848484845
767195637.698787878791081.30121212121
862346250.36545454547-16.3654545454715
971525623.765454545481528.23454545452
1036463325.36545454547320.634545454534
1121652015.96545454547149.034545454534
1228032392.63212121212410.367878787885
1316151558.6084848484856.391515151517
1423502235.67515151515114.324848484847
1533502584.14181818182765.858181818183
1635363442.4751515151593.5248484848487
1758344991.94181818182842.058181818183
1867675497.675151515151269.32484848485
1959935637.69878787879355.301212121212
2072766250.365454545451025.63454545455
2156415623.7654545454517.2345454545469
2234773325.36545454545151.634545454547
2322472015.96545454545231.034545454546
2424662392.6321212121273.36787878788
2515671558.608484848488.39151515151506
2622372235.675151515151.32484848484714
2725982584.1418181818213.8581818181829
2837293442.47515151515286.524848484849
2957154991.94181818182723.058181818183
3057765497.67515151515278.324848484849
3158525637.69878787879214.301212121212
3268786250.36545454545627.634545454547
3354885623.76545454545-135.765454545453
3435833325.36545454545257.634545454547
3520542015.9654545454538.0345454545463
3622822392.63212121212-110.63212121212
3715521558.60848484848-6.60848484848493
3822612235.6751515151525.3248484848471
3924462584.14181818182-138.141818181817
4035193442.4751515151576.5248484848487
4151614991.94181818182169.058181818183
4250855497.67515151515-412.675151515151
4357115637.6987878787973.301212121212
4460576250.36545454545-193.365454545453
4552245623.76545454545-399.765454545453
4633633325.3654545454537.6345454545465
4718992015.96545454545-116.965454545454
4821152392.63212121212-277.63212121212
4914911558.60848484848-67.6084848484847
5020612235.67515151515-174.675151515153
5124192584.14181818182-165.141818181817
5234303442.47515151515-12.4751515151513
5347784991.94181818182-213.941818181817
5448625497.67515151515-635.675151515151
5561765637.69878787879538.301212121212
5656646250.36545454545-586.365454545453
5755295623.76545454545-94.765454545453
5834183325.3654545454592.6345454545465
5919412015.96545454545-74.9654545454537
6024022392.632121212129.36787878788009
6115791558.6084848484820.3915151515151
6221462235.67515151515-89.6751515151528
6324622584.14181818182-122.141818181817
6436953442.47515151515252.524848484849
6548314991.94181818182-160.941818181817
6651345497.67515151515-363.675151515151
6762505637.69878787879612.301212121212
6857606250.36545454545-490.365454545453
6962495623.76545454545625.234545454547
7029173325.36545454545-408.365454545453
7117412015.96545454545-274.965454545454
7223592392.63212121212-33.6321212121199
7315111558.60848484848-47.6084848484849
7420592235.67515151515-176.675151515153
7526352584.1418181818250.8581818181829
7628673442.47515151515-575.475151515151
7744034991.94181818182-588.941818181817
7857205497.67515151515222.324848484849
7945025637.69878787879-1135.69878787879
8057496250.36545454545-501.365454545453
8156275623.765454545453.23454545454693
8228463325.36545454545-479.365454545453
8317622015.96545454545-253.965454545454
8424292392.6321212121236.3678787878801
8511691558.60848484848-389.608484848485
8621542235.67515151515-81.6751515151528
8722492584.14181818182-335.141818181817
8826873442.47515151515-755.475151515151
8943594991.94181818182-632.941818181817
9053825497.67515151515-115.675151515151
9144595637.69878787879-1178.69878787879
9263986250.36545454545147.634545454547
9345965623.76545454545-1027.76545454545
9430243325.36545454545-301.365454545454
9518872015.96545454545-128.965454545454
9620702392.63212121212-322.632121212120
9713511558.60848484848-207.608484848485
9822182235.67515151515-17.6751515151529
9924612584.14181818182-123.141818181817
10030283442.47515151515-414.475151515151
10147844991.94181818182-207.941818181817
10249755497.67515151515-522.675151515151
10346075511.34424242424-904.344242424243
10462496124.01090909091124.989090909092
10548095497.41090909091-688.410909090908
10631573199.01090909091-42.0109090909084
10719101889.6109090909120.3890909090915
10822282266.27757575757-38.2775757575743
10915941432.25393939394161.746060606060
11024672109.32060606061357.679393939392
11122222457.78727272727-235.787272727273
11236073316.12060606061290.879393939393
11346854865.58727272727-180.587272727273
11449625371.32060606061-409.320606060606
11557705511.34424242424258.655757575757
11654806124.01090909091-644.010909090908
11750005497.41090909091-497.410909090908
11832283199.0109090909128.9890909090916
11919931889.61090909091103.389090909091
12022882266.2775757575721.7224242424255
12115881432.25393939394155.746060606060
12221052109.32060606061-4.32060606060828
12321912457.78727272727-266.787272727273
12435913316.12060606061274.879393939393
12546684865.58727272727-197.587272727273
12648855371.32060606061-486.320606060606
12758225511.34424242424310.655757575757
12855996124.01090909091-525.010909090908
12953405497.41090909091-157.410909090908
13030823199.01090909091-117.010909090908
13120101889.61090909091120.389090909091
13223012266.2775757575734.7224242424255
13315071432.2539393939474.7460606060598
13419922109.32060606061-117.320606060608
13524872457.7872727272729.2127272727274
13634903316.12060606061173.879393939393
13746474865.58727272727-218.587272727273
13855945371.32060606061222.679393939394
13956115511.3442424242499.6557575757568
14057886124.01090909091-336.010909090908
14162045497.41090909091706.589090909092
14230133199.01090909091-186.010909090908
14319311889.6109090909141.3890909090915
14425492266.27757575757282.722424242425
14515041432.2539393939471.7460606060598
14620902109.32060606061-19.3206060606082
14727022457.78727272727244.212727272728
14829393316.12060606061-377.120606060607
14945004865.58727272727-365.587272727273
15062085371.32060606061836.679393939394
15164155511.34424242424903.655757575757
15256576124.01090909091-467.010909090908
15359645497.41090909091466.589090909092
15431633199.01090909091-36.0109090909084
15519971889.61090909091107.389090909091
15624222266.27757575757155.722424242425
15713761432.25393939394-56.2539393939403
15822022109.3206060606192.6793939393917
15926832457.78727272727225.212727272728
16033033316.12060606061-13.1206060606068
16152024865.58727272727336.412727272728
16252315371.32060606061-140.320606060606
16348805511.34424242424-631.344242424243
16479986124.010909090911873.98909090909
16549775497.41090909091-520.410909090908
16635313199.01090909091331.989090909091
16720251889.61090909091135.389090909091
16822052266.27757575757-61.2775757575743
16914421432.253939393949.74606060605975
17022382109.32060606061128.679393939392
17121792457.78727272727-278.787272727273
17232183316.12060606061-98.1206060606067
17351394865.58727272727273.412727272728
17449905371.32060606061-381.320606060606
17549145511.34424242424-597.344242424243
17660846124.01090909091-40.0109090909082
17756725497.41090909091174.589090909092
17835483199.01090909091348.989090909091
17917931889.61090909091-96.6109090909085
18020862266.27757575757-180.277575757574


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.4445653289760160.8891306579520320.555434671023984
170.3837764442867550.767552888573510.616223555713245
180.4676811122455970.9353622244911930.532318887754403
190.5536720546026910.8926558907946170.446327945397309
200.7882212778089920.4235574443820170.211778722191008
210.9665550912271190.06688981754576290.0334449087728814
220.9475480040908760.1049039918182470.0524519959091236
230.9212537628866460.1574924742267090.0787462371133544
240.8954966965845730.2090066068308540.104503303415427
250.8551935501626340.2896128996747320.144806449837366
260.8042775176966620.3914449646066760.195722482303338
270.8016036114039010.3967927771921980.198396388596099
280.7566292633675340.4867414732649330.243370736632466
290.734564999714710.530870000570580.26543500028529
300.7784739950135260.4430520099729480.221526004986474
310.7790192183029730.4419615633940530.220980781697027
320.761313584703160.477372830593680.23868641529684
330.8435624287190440.3128751425619120.156437571280956
340.8086848775011460.3826302449977090.191315122498854
350.7669634288420270.4660731423159460.233036571157973
360.7377040588942170.5245918822115660.262295941105783
370.6869647420775760.6260705158448470.313035257922424
380.6310956403058540.7378087193882930.368904359694146
390.6321706336736680.7356587326526650.367829366326332
400.602366813722670.795266372554660.39763318627733
410.6135672569064080.7728654861871840.386432743093592
420.7976701441254220.4046597117491560.202329855874578
430.7950870594721020.4098258810557970.204912940527898
440.8262576452022660.3474847095954680.173742354797734
450.8724671575859670.2550656848280660.127532842414033
460.8485083815891770.3029832368216450.151491618410823
470.821795299962960.3564094000740790.178204700037039
480.8046067766933760.3907864466132490.195393223306624
490.7684573612138770.4630852775722470.231542638786123
500.7320279544564970.5359440910870060.267972045543503
510.7127753981092530.5744492037814940.287224601890747
520.6873249172729750.625350165454050.312675082727025
530.7266379642595550.5467240714808910.273362035740445
540.8325923258123380.3348153483753250.167407674187662
550.8449609712576460.3100780574847080.155039028742354
560.8929045846646820.2141908306706360.107095415335318
570.8780608895533240.2438782208933530.121939110446676
580.8577375990822670.2845248018354660.142262400917733
590.8308378910977150.3383242178045710.169162108902285
600.8002304987852520.3995390024294960.199769501214748
610.7672265667803040.4655468664393920.232773433219696
620.7291946331259880.5416107337480230.270805366874012
630.699134300442410.6017313991151790.300865699557589
640.6838071682372860.6323856635254290.316192831762714
650.6839786098009560.6320427803980880.316021390199044
660.6861951295322370.6276097409355260.313804870467763
670.7541998684406930.4916002631186140.245800131559307
680.767942515214960.464114969570080.23205748478504
690.8307427205256480.3385145589487030.169257279474352
700.8301856749102960.3396286501794090.169814325089704
710.8082327853905250.383534429218950.191767214609475
720.7793267431796090.4413465136407820.220673256820391
730.7484698192421890.5030603615156230.251530180757811
740.7125952207750310.5748095584499370.287404779224969
750.6881052003085420.6237895993829170.311894799691458
760.7288478653862040.5423042692275920.271152134613796
770.7730193265108540.4539613469782930.226980673489146
780.7703026755710630.4593946488578730.229697324428937
790.9281666677123680.1436666645752640.0718333322876318
800.925386804655150.14922639068970.07461319534485
810.9215870931456730.1568258137086550.0784129068543274
820.917274325104390.1654513497912200.0827256748956098
830.9010171742633890.1979656514732220.0989828257366111
840.8872723617618420.2254552764763170.112727638238158
850.8737091489814820.2525817020370370.126290851018518
860.8505676461748650.298864707650270.149432353825135
870.8348838799424750.3302322401150500.165116120057525
880.864476269216150.27104746156770.13552373078385
890.8761574272726120.2476851454547770.123842572727388
900.860937566653020.278124866693960.13906243334698
910.9439824314002610.1120351371994780.056017568599739
920.9388881028117680.1222237943764650.0611118971882324
930.9692254740484780.0615490519030440.030774525951522
940.9618949164005570.07621016719888560.0381050835994428
950.9515931416787990.09681371664240220.0484068583212011
960.941677788894160.1166444222116800.0583222111058402
970.9278063888001340.1443872223997320.0721936111998659
980.9120220630632240.1759558738735530.0879779369367763
990.8963617040607810.2072765918784380.103638295939219
1000.8819929753856150.236014049228770.118007024614385
1010.8639343455994930.2721313088010140.136065654400507
1020.85435529598820.2912894080235980.145644704011799
1030.8913107093151370.2173785813697260.108689290684863
1040.8908249236020150.2183501527959700.109175076397985
1050.902808029103030.1943839417939390.0971919708969697
1060.8887933085395750.222413382920850.111206691460425
1070.8714641854391290.2570716291217430.128535814560872
1080.848231520200160.303536959599680.15176847979984
1090.8277569704884680.3444860590230640.172243029511532
1100.8203690168529220.3592619662941560.179630983147078
1110.7930587798766880.4138824402466230.206941220123312
1120.7753661505044330.4492676989911340.224633849495567
1130.7406849622479960.5186300755040090.259315037752004
1140.7262690292106020.5474619415787960.273730970789398
1150.7002517268825440.5994965462349120.299748273117456
1160.7398414720172990.5203170559654030.260158527982701
1170.7517891994377840.4964216011244320.248210800562216
1180.713385381780810.5732292364383810.286614618219190
1190.6739919020410560.6520161959178880.326008097958944
1200.6293790271176870.7412419457646250.370620972882313
1210.5882698425917920.8234603148164160.411730157408208
1220.5392819178742940.9214361642514130.460718082125706
1230.5048571183831470.9902857632337070.495142881616853
1240.4792891661505590.9585783323011180.520710833849441
1250.4351645386144920.8703290772289840.564835461385508
1260.4464546807846610.8929093615693220.553545319215339
1270.4238736233958490.8477472467916980.576126376604151
1280.469522858017720.939045716035440.53047714198228
1290.4368648991230870.8737297982461730.563135100876913
1300.3928469853968910.7856939707937820.607153014603109
1310.3461276413119150.6922552826238290.653872358688085
1320.2987672607311920.5975345214623830.701232739268808
1330.2551091603529220.5102183207058430.744890839647078
1340.2167009625932200.4334019251864390.78329903740678
1350.179130673724630.358261347449260.82086932627537
1360.1559520555489210.3119041110978410.844047944451079
1370.1319909903693910.2639819807387810.86800900963061
1380.1079600727495170.2159201454990340.892039927250483
1390.08650458830066120.1730091766013220.913495411699339
1400.1007681301127300.2015362602254610.89923186988727
1410.1218313047692440.2436626095384890.878168695230756
1420.1051340628050180.2102681256100360.894865937194982
1430.08038038139826670.1607607627965330.919619618601733
1440.06635461817625470.1327092363525090.933645381823745
1450.04909790113292660.09819580226585320.950902098867073
1460.03556864559211680.07113729118423360.964431354407883
1470.02693558969828710.05387117939657430.973064410301713
1480.02085034958284170.04170069916568330.979149650417158
1490.02086338120530860.04172676241061730.979136618794691
1500.0469555423156390.0939110846312780.95304445768436
1510.2142821544291280.4285643088582550.785717845570872
1520.5284479650048320.9431040699903360.471552034995168
1530.5620038358239220.8759923283521550.437996164176078
1540.5174246610715970.9651506778568060.482575338928403
1550.4349464852922440.8698929705844880.565053514707756
1560.3704436602996230.7408873205992460.629556339700377
1570.2891446052604370.5782892105208730.710855394739563
1580.2149311350103180.4298622700206350.785068864989682
1590.1828834351254520.3657668702509050.817116564874548
1600.1234506490208140.2469012980416280.876549350979186
1610.0784870958083260.1569741916166520.921512904191674
1620.04727449203077620.09454898406155240.952725507969224
1630.02587263116561070.05174526233122140.97412736883439
1640.7243726769911680.5512546460176630.275627323008832


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0134228187919463OK
10% type I error level120.0805369127516778OK