Multiple Linear Regression - Estimated Regression Equation
totaal[t] = + 30804.5369680775 -23401252.9732768jaar[t] + 0.870436647176309vlaams_man[t] + 1.09619421051282vlaams_vrouw[t] + 1.08567272568283waals_man[t] + 0.972768756511784waals_vrouw[t] + 0.909537250570316brussel_man[t] + 1.13627288054705brussel_vrouw[t] -15.1769126220416t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)30804.536968077517412.9984331.76910.0843230.042162
jaar-23401252.973276813217986.10236-1.77040.0840940.042047
vlaams_man0.8704366471763090.0839710.366100
vlaams_vrouw1.096194210512820.08306913.196100
waals_man1.085672725682830.06538716.603700
waals_vrouw0.9727687565117840.07395213.154100
brussel_man0.9095372505703160.06798713.378100
brussel_vrouw1.136272880547050.07237815.699200
t-15.17691262204168.526204-1.780.0824830.041242


Multiple Linear Regression - Regression Statistics
Multiple R0.999998996517776
R-squared0.999997993036559
Adjusted R-squared0.999997601433936
F-TEST (value)2553603.92142985
F-TEST (DF numerator)8
F-TEST (DF denominator)41
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.61079340580206
Sum Squared Residuals15.2958119674225


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
191909189.773476836710.226523163287704
292519250.811701798360.188298201637033
393289328.6444564847-0.644456484702895
494289428.66738234806-0.66738234806104
594999498.924333154140.0756668458610427
695569555.934669262130.0653307378749467
796069604.944291002041.0557089979562
896329631.301552162730.698447837264957
996609660.06217742192-0.0621774219207797
1096519650.925971284380.0740287156173079
1196959695.87356337378-0.873563373777729
1297279727.10634819719-0.106348197191145
1397579757.31898316549-0.318983165493528
1497889788.09302892045-0.0930289204474411
1598139811.788796324191.21120367581114
1698239822.879603614990.120396385009302
1798379836.898359536290.101640463713074
1898429842.02400156293-0.024001562932786
1998559856.19935081646-1.19935081645882
2098639864.28919610798-1.28919610797912
2198559854.344057470370.655942529625127
2298589858.16578246824-0.165782468244185
2398539853.22964265127-0.229642651268907
2498589857.419190799220.58080920078305
2598599858.477721943460.522278056542202
2698659864.303449952780.696550047222603
2798769876.31011019002-0.310110190018058
2899289927.56364611180.436353888201801
2999489948.5570433318-0.55704333179597
3099879988.15926161825-1.1592616182492
311002210022.0000787662-7.8766211996077e-05
321006810067.98215763120.0178423688248848
331010110100.87986124190.120138758075812
341013110130.67322589550.326774104470233
351014310142.76493916720.235060832832552
361017010169.61044785780.389552142152874
371019210191.58645367430.413546325707174
381021410213.54825602990.451743970071526
391023910239.5981731885-0.598173188471221
401026310262.7441548820.255845117979388
411031010309.92016423220.0798357678287411
421035510355.5766416934-0.576641693397184
431039610396.0256857544-0.0256857543607167
441044610446.0862200922-0.0862200921823565
451051110511.2845894911-0.284589491120514
461058510584.0656098490.934390151005746
471066710667.0372692159-0.0372692158626008
481075310753.8935098748-0.89350987480154
491084010840.3340036275-0.334003627516723
501095110950.39740792290.602592077110022


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.4261556244480770.8523112488961540.573844375551923
130.2790843122384620.5581686244769240.720915687761538
140.2882198599769130.5764397199538260.711780140023087
150.307459344641370.6149186892827390.69254065535863
160.2761776093225770.5523552186451550.723822390677423
170.2242577668979380.4485155337958750.775742233102062
180.3078211092358390.6156422184716780.692178890764161
190.2696434151911220.5392868303822440.730356584808878
200.2926679362913260.5853358725826530.707332063708674
210.5634917889579370.8730164220841270.436508211042064
220.5540982267571330.8918035464857340.445901773242867
230.6204632559312960.7590734881374070.379536744068704
240.5566349643844870.8867300712310270.443365035615513
250.6066556807409530.7866886385180930.393344319259047
260.5954722786614840.8090554426770320.404527721338516
270.763585432298520.472829135402960.23641456770148
280.8685598847912570.2628802304174850.131440115208743
290.8709609145470670.2580781709058650.129039085452933
300.808123105969330.3837537880613410.19187689403067
310.867441971161060.265116057677880.13255802883894
320.8752952883832510.2494094232334970.124704711616749
330.8333623156002160.3332753687995680.166637684399784
340.7606345052207770.4787309895584460.239365494779223
350.6933262229893810.6133475540212380.306673777010619
360.5757835313856410.8484329372287170.424216468614359
370.504877492892380.9902450142152390.49512250710762
380.3603427078443560.7206854156887110.639657292155644


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 level00OK