Multiple Linear Regression - Estimated Regression Equation
Totale_bevolking[t] = -15.6001765674043 + 0.976473875861706Vlaams_Gewest_mannen[t] + 1.02996739943033Vlaams_Gewest_vrouwen[t] + 1.0199254341158Waals_Gewest_manen[t] + 0.97401985047526Waals_Gewest_vrouwen[t] + 0.930099163421382Brussel_mannen[t] + 1.07690987605063Brussel_vrouwen[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-15.600176567404322.712338-0.68690.4958590.24793
Vlaams_Gewest_mannen0.9764738758617060.03001832.5300
Vlaams_Gewest_vrouwen1.029967399430330.02795236.847400
Waals_Gewest_manen1.01992543411580.03543928.779600
Waals_Gewest_vrouwen0.974019850475260.05013919.426300
Brussel_mannen0.9300991634213820.05695316.330900
Brussel_vrouwen1.076909876050630.05123321.019900


Multiple Linear Regression - Regression Statistics
Multiple R0.999998914665498
R-squared0.999997829332175
Adjusted R-squared0.999997526448292
F-TEST (value)3301588.12276667
F-TEST (DF numerator)6
F-TEST (DF denominator)43
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.620267454098993
Sum Squared Residuals16.5434637284212


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11095110950.44179371190.558206288090932
21084010840.3519329528-0.351932952767379
31075310754.1612999163-1.16129991627984
41066710667.0730390517-0.0730390517110905
51058510583.95232291831.04767708173417
61051110511.0248231572-0.024823157150902
71044610445.89779227960.102207720395682
81039610395.88139974280.118600257188402
91035510355.6225208629-0.622520862872505
101031010309.79016581350.209834186466596
111026310262.78291891330.21708108665879
121023910239.7648246419-0.764824641881756
131021410213.82325368660.176746313410154
141019210191.78931986630.210680133699597
151017010169.84870323510.151296764928427
161014310142.86174573550.138254264537879
171013110130.77564813930.224351860725919
181010110100.92163063360.0783693664129803
191006810067.96401477390.0359852261211054
201002210021.97281780970.0271821902953173
2199879988.06948203062-1.0694820306229
2299489948.27839696207-0.278396962073584
2399289927.245746030380.754253969618753
2498769876.36155131501-0.361551315005513
2598659864.395405885460.604594114544499
2698599858.431180240310.568819759692246
2798589857.436227090980.563772909023296
2898539853.37098654518-0.370986545183947
2998589858.23473202137-0.23473202137228
3098559854.187951052430.812048947568368
3198639864.08825733912-1.08825733911558
3298559855.96734908405-0.96734908404481
3398429841.932362418680.0676375813204484
3498379836.795504843120.204495156877523
3598239822.853202965970.14679703403128
3698139811.845150774191.15484922580873
3797889788.00923723273-0.00923723273400601
3897579757.21964040837-0.219640408368021
3997279727.24607522817-0.246075228173575
4096959696.23004665785-1.23004665784781
4196519651.22128715569-0.221287155686443
4296609660.06787256558-0.0678725655828788
4396329631.053169998410.946830001593992
4496069604.921415710991.07858428900626
4595569555.808036873640.191963126356311
4694999498.714699883390.285300116614157
4794289428.72617488975-0.726174889753597
4893289328.82387171932-0.823871719319023
4992519250.914016010890.0859839891108088
5091909189.849001224290.150998775714803


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.4850908170329480.9701816340658970.514909182967052
110.4056224201903610.8112448403807210.594377579809639
120.5385848864476180.9228302271047640.461415113552382
130.4306658120326930.8613316240653850.569334187967308
140.3101482082975440.6202964165950870.689851791702456
150.2403179137218910.4806358274437820.759682086278109
160.237047989951060.474095979902120.76295201004894
170.1862673421823120.3725346843646230.813732657817688
180.1369024359189110.2738048718378210.863097564081089
190.08596360741636340.1719272148327270.914036392583637
200.05883437361445430.1176687472289090.941165626385546
210.06083334721024220.1216666944204840.939166652789758
220.04597137932466490.09194275864932990.954028620675335
230.1336698525295730.2673397050591470.866330147470427
240.09516926572600070.1903385314520010.904830734273999
250.123918932669290.2478378653385810.87608106733071
260.1270881533694960.2541763067389910.872911846630504
270.177483235959030.354966471918060.82251676404097
280.190478022508770.3809560450175390.80952197749123
290.1540377876560150.3080755753120290.845962212343985
300.4969863659364510.9939727318729010.503013634063549
310.5472455845460760.9055088309078480.452754415453924
320.607799390800870.7844012183982610.39220060919913
330.5801127145071020.8397745709857960.419887285492898
340.5966117469536390.8067765060927210.403388253046361
350.6259468463490670.7481063073018660.374053153650933
360.818756822830590.3624863543388210.18124317716941
370.8140175461631650.371964907673670.185982453836835
380.7340910205670530.5318179588658940.265908979432947
390.897248244694760.205503510610480.10275175530524
400.8123271558724580.3753456882550850.187672844127542


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level10.032258064516129OK