Multiple Linear Regression - Estimated Regression Equation
Totaal[t] = -84.8598455362288 + 0.00110852737564472t + 0.0431272408509219jaartal[t] + 0.995878671716741jongerdan25jaar[t] + 1.0002341118164vanaf25jaar[t] -0.0766601847092071`Belgi\303\253`[t] -0.461901000716776Eurogebied[t] + 0.385382469325768`EU-27\r`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-84.8598455362288336.990516-0.25180.801560.40078
t0.001108527375644720.0142540.07780.9381260.469063
jaartal0.04312724085092190.1685330.25590.7984140.399207
jongerdan25jaar0.9958786717167410.00393253.403400
vanaf25jaar1.00023411181640.003058327.134200
`Belgi\303\253`-0.07666018470920710.113462-0.67560.5004040.250202
Eurogebied-0.4619010007167760.372345-1.24050.2169030.108452
`EU-27\r`0.3853824693257680.3508661.09840.2739670.136983


Multiple Linear Regression - Regression Statistics
Multiple R0.999941101403851
R-squared0.999882206276746
Adjusted R-squared0.999876187619353
F-TEST (value)166130.440903983
F-TEST (DF numerator)7
F-TEST (DF denominator)137
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.504181488531057
Sum Squared Residuals34.8252593527027


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1501501.842685590958-0.842685590957632
2485484.8833544531190.116645546880518
3464463.9351224919180.0648775080820763
4460459.9680342040370.0319657959633536
5467467.075430891992-0.0754308919914907
6460460.095632975422-0.0956329754222533
7448448.161899461571-0.161899461571095
8443443.159571713222-0.159571713221877
9436436.180818658381-0.180818658381022
10431431.197133525345-0.197133525344919
11484484.090963372842-0.0909633728420994
12510509.0624204608660.937579539133901
13513513.037111939995-0.037111939994909
14503502.9862026775780.0137973224224533
15471471.068357438314-0.0683574383140691
16471471.028676167446-0.0286761674460842
17476476.116962016455-0.116962016455051
18475474.1230167873580.876983212642239
19470470.136255187767-0.136255187766788
20461461.152692634525-0.152692634525302
21455455.120317572958-0.120317572958242
22456455.1214261003340.878573899666104
23517516.9442035063590.055796493641379
24525525.899509198986-0.899509198985624
25523522.8504147124690.149585287530861
26519518.8854303133760.114569686623559
27509508.8695405649420.130459435057583
28512511.8800623079670.119937692033441
29519518.9073084089270.0926915910733805
30517516.8715143545260.128485645474508
31510509.8927612996850.107238700315362
32509509.903625568988-0.903625568987984
33501499.9361916372691.06380836273149
34507506.8796825269880.120317473011711
35569569.721322494811-0.721322494810697
36580579.7361187196250.26388128037526
37578577.6872583449250.312741655075352
38565565.775302031572-0.775302031571767
39547547.761894828706-0.761894828706227
40555554.7998698073580.200130192642039
41562561.8271159083180.172884091681981
42561560.8410566441760.158943355823764
43555555.886814730109-0.886814730109324
44544543.9033723832370.0966276167627559
45537536.9366407869670.0633592130330377
46543542.8689209680280.131079031971837
47594593.6901538404690.309846159530917
48611610.6330452524140.366954747586178
49613612.6389774435220.36102255647809
50611610.7148810838730.285118916126623
51594593.7247060482370.275293951762989
52595595.743704559644-0.743704559644064
53591590.8547370693590.14526293064139
54589589.861011786746-0.861011786745899
55584583.874826825250.125173174749477
56573572.8951373231440.104862676855925
57567566.9166042147880.0833957852121922
58569568.9214915441680.0785084558324827
59621620.7317737770050.26822622299532
60629628.7075635312530.29243646874664
61628627.7084379468130.291562053187388
62612611.7955593515260.204440648474038
63595595.805604262374-0.805604262374154
64597596.8363759552040.163624044796427
65593592.910149191530.0898508084696743
66590589.9269181167950.0730818832048224
67580579.9594700197440.0405299802560979
68574574.010764278121-0.010764278120887
69573572.9861667670460.0138332329534836
70573573.005903744403-0.00590374440345748
71620619.9016253340420.0983746659582861
72626625.893337928660.10666207134036
73620619.9050490783760.0949509216243334
74588586.9714153704441.02858462955585
75566565.9769791438390.023020856160887
76557558.068210829063-1.06821082906286
77561561.077907098845-0.0779070988455016
78549549.109990778161-0.109990778161412
79532532.140903898395-0.14090389839535
80526526.15365990984-0.153659909839761
81511511.189410859138-0.18941085913797
82499499.196212770338-0.196212770338188
83555555.090744953285-0.090744953284569
84565564.0831598833520.91684011664831
85542542.120568462975-0.120568462974566
86527527.103493990127-0.103493990126747
87510510.178345659121-0.178345659121301
88514514.14620782693-0.146207826929605
89517517.198811949076-0.19881194907629
90508507.2379850087680.762014991232466
91493493.269614629782-0.26961462978248
92490490.232541601837-0.232541601836574
93469469.260280888826-0.260280888825686
94478477.2348781188240.765121881176488
95528529.10652066082-1.10652066081993
96534533.0758260034530.924173996547484
97518518.125027420814-0.125027420813761
98506506.11199419245-0.111994192450032
99502502.11428432668-0.114284326680503
100516516.040799714466-0.0407997144656011
101528528.071718576392-0.0717185763921175
102533533.035710066491-0.0357100664906003
103536535.9727165445940.0272834554057086
104537537.01696703615-0.0169670361503836
105524523.0419896657550.95801033424538
106536536.051940261667-0.0519402616673513
107587586.8738621787360.126137821263758
108597595.8818173003231.11818269967682
109581580.8804731775130.119526822486912
110564564.887221675322-0.887221675321847
111558556.9434621772261.05653782277409
112575574.9249895193060.0750104806939537
113580580.989247174503-0.98924717450338
114575574.9943513328090.00564866719130946
115563564.014661830702-1.01466183070225
116552550.9926694449911.007330555009
117537537.020988487635-0.0209884876346796
118545545.022910882481-0.0229108824812848
119601600.9228433672560.0771566327443079
120604604.90642171977-0.906421719769919
121586586.92404857322-0.924048573220318
122564563.9840592685850.015940731414714
123549548.0315975646380.968402435362333
124551551.069472803174-0.0694728031742298
125556556.141173598935-0.141173598934989
126548548.219353129192-0.219353129191604
127540540.205138293973-0.20513829397304
128531531.213895556929-0.213895556928815
129521520.2770997418550.722900258145392
130519518.2315499455260.768450054474221
131572572.100364298116-0.100364298115542
132581582.065674009819-1.06567400981846
133563563.067748879842-0.0677488798424492
134548548.062724196229-0.0627241962288378
135539539.080206504716-0.080206504715741
136541541.051970054323-0.0519700543227406
137562561.071459005240.928540994760145
138559559.068802895943-0.0688028959432636
139546546.077682738694-0.0776827386936581
140536536.994059801506-0.994059801506085
141528526.9949310995061.00506890049364
142530530.980613340809-0.980613340809183
143582581.8352748898870.164725110113281
144599598.8343023023490.165697697651263
145584583.7900644925060.209935507493581


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.04412303669198250.08824607338396510.955876963308018
120.3573185287769940.7146370575539880.642681471223006
130.296862431465620.593724862931240.70313756853438
140.1934032779443620.3868065558887240.806596722055638
150.1157020033701090.2314040067402170.884297996629891
160.1047585832800930.2095171665601850.895241416719907
170.06638089151336730.1327617830267350.933619108486633
180.2389261689953150.477852337990630.761073831004685
190.2425732440580590.4851464881161190.757426755941941
200.2040925087507980.4081850175015960.795907491249202
210.1472493216351430.2944986432702870.852750678364857
220.2223422870978120.4446845741956230.777657712902188
230.1841944157659180.3683888315318370.815805584234082
240.182130224040440.364260448080880.81786977595956
250.24177085280760.4835417056151990.7582291471924
260.1867755289541810.3735510579083620.813224471045819
270.1452078132544280.2904156265088560.854792186745572
280.1207206855235950.2414413710471890.879279314476405
290.08830501962530930.1766100392506190.911694980374691
300.06328757517732120.1265751503546420.936712424822679
310.04528657327025030.09057314654050070.95471342672975
320.1479019044239760.2958038088479520.852098095576024
330.2637105373899260.5274210747798520.736289462610074
340.2188830132941550.4377660265883090.781116986705845
350.2636168465857490.5272336931714980.736383153414251
360.2346543119526810.4693086239053610.765345688047319
370.2133129031439480.4266258062878960.786687096856052
380.3093186181237970.6186372362475940.690681381876203
390.3645665794745530.7291331589491060.635433420525447
400.3134188357163030.6268376714326060.686581164283697
410.2658351750332280.5316703500664560.734164824966772
420.2208755723978940.4417511447957880.779124427602106
430.3618166032008330.7236332064016660.638183396799167
440.3121495474477110.6242990948954210.687850452552289
450.264929614429610.5298592288592210.73507038557039
460.2236140440020570.4472280880041150.776385955997943
470.208649204422010.417298408844020.79135079557799
480.1959938037978860.3919876075957730.804006196202114
490.1734772636517610.3469545273035230.826522736348239
500.1456633975622350.291326795124470.854336602437765
510.1194010095299550.238802019059910.880598990470045
520.1682530020600230.3365060041200450.831746997939977
530.1371067244016890.2742134488033770.862893275598311
540.2123592539862160.4247185079724330.787640746013784
550.1800091922090980.3600183844181970.819990807790902
560.1489512915814520.2979025831629030.851048708418549
570.1210496123947560.2420992247895130.878950387605244
580.09737334936669390.1947466987333880.902626650633306
590.07725372271616370.1545074454323270.922746277283836
600.06040426939512050.1208085387902410.93959573060488
610.04681669122515610.09363338245031210.953183308774844
620.03572979530359810.07145959060719630.964270204696402
630.08535678609217820.1707135721843560.914643213907822
640.0680704160516340.1361408321032680.931929583948366
650.05379991533065250.1075998306613050.946200084669347
660.04196118091337770.08392236182675530.958038819086622
670.03242963731940170.06485927463880330.967570362680598
680.02515213588467320.05030427176934640.974847864115327
690.01872857485818440.03745714971636890.981271425141816
700.01382772019294090.02765544038588180.986172279807059
710.009941312975660940.01988262595132190.990058687024339
720.007050676873190160.01410135374638030.99294932312681
730.004935062454447030.009870124908894060.995064937545553
740.009402186689671250.01880437337934250.990597813310329
750.007344688836883210.01468937767376640.992655311163117
760.03091561798503240.06183123597006480.969084382014968
770.02361971708580810.04723943417161610.976380282914192
780.01779372170838250.0355874434167650.982206278291618
790.01329573785552970.02659147571105940.98670426214447
800.00970264200542750.0194052840108550.990297357994573
810.007193210521810440.01438642104362090.99280678947819
820.005780055654616920.01156011130923380.994219944345383
830.004175624585143660.008351249170287330.995824375414856
840.008038854463172850.01607770892634570.991961145536827
850.006011697992209590.01202339598441920.99398830200779
860.004272900690534060.008545801381068130.995727099309466
870.003147211325430370.006294422650860740.99685278867457
880.002241610202628550.004483220405257090.997758389797371
890.001551744919436170.003103489838872340.998448255080564
900.002718126073936280.005436252147872550.997281873926064
910.002058964902391150.004117929804782290.997941035097609
920.001476402119308620.002952804238617250.998523597880691
930.001187015049880640.002374030099761270.998812984950119
940.001686901351685030.003373802703370060.998313098648315
950.005880614840750040.01176122968150010.99411938515925
960.01510412953049160.03020825906098320.984895870469508
970.01138764562819210.02277529125638420.988612354371808
980.008121491524288920.01624298304857780.991878508475711
990.005784187676067260.01156837535213450.994215812323933
1000.004194724726448880.008389449452897750.995805275273551
1010.002880462558652310.005760925117304630.997119537441348
1020.00193470628997530.003869412579950590.998065293710025
1030.001328628316893310.002657256633786630.998671371683107
1040.001060472161304550.002120944322609110.998939527838695
1050.001214544819096970.002429089638193940.998785455180903
1060.001013627707387020.002027255414774040.998986372292613
1070.0006436948588907790.001287389717781560.999356305141109
1080.002353457549859250.004706915099718510.997646542450141
1090.001750291047244360.003500582094488710.998249708952756
1100.007618437825595010.015236875651190.992381562174405
1110.01194806000206570.02389612000413140.988051939997934
1120.009377291617107060.01875458323421410.990622708382893
1130.01641556582440150.03283113164880290.983584434175598
1140.0119509657030820.0239019314061640.988049034296918
1150.02990974730114110.05981949460228220.970090252698859
1160.05743694655341880.1148738931068380.942563053446581
1170.04109488588679610.08218977177359220.958905114113204
1180.02881606271822930.05763212543645860.971183937281771
1190.02490790257039910.04981580514079820.975092097429601
1200.02600449449083430.05200898898166860.973995505509166
1210.04272532663151090.08545065326302190.957274673368489
1220.03276645043566650.06553290087133290.967233549564333
1230.05556984005847140.1111396801169430.944430159941529
1240.05289367031838410.1057873406367680.947106329681616
1250.04897823559511490.09795647119022980.951021764404885
1260.04948018220520180.09896036441040370.950519817794798
1270.03593469220590460.07186938441180920.964065307794095
1280.02237994364103830.04475988728207660.977620056358962
1290.01895735411901790.03791470823803580.981042645880982
1300.01688418978532160.03376837957064330.983115810214678
1310.01237573822557680.02475147645115370.987624261774423
1320.02256833857151930.04513667714303860.977431661428481
1330.193083192043770.386166384087540.80691680795623
1340.130176892936420.260353785872840.86982310706358


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level210.169354838709677NOK
5% type I error level510.411290322580645NOK
10% type I error level680.548387096774194NOK