Multiple Linear Regression - Estimated Regression Equation
Totaal[t] = -110.139290815839 + 0.0557688214312652jaartal[t] + 0.995998265315216jongerdan25jaar[t] + 1.00020013681646vanaf25jaar[t] -0.0773667171300518`Belgi\303\253`[t] -0.45287714325954Eurogebied[t] + 0.376606852518923`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)-110.13929081583988.54661-1.24390.2156610.107831
jaartal0.05576882143126520.0443311.2580.2105090.105255
jongerdan25jaar0.9959982653152160.003604276.390300
vanaf25jaar1.000200136816460.003015331.71100
`Belgi\303\253`-0.07736671713005180.11269-0.68650.4935210.24676
Eurogebied-0.452877143259540.352526-1.28470.2010620.100531
`EU-27\r`0.3766068525189230.3310261.13770.2572190.128609


Multiple Linear Regression - Regression Statistics
Multiple R0.99994109880369
R-squared0.999882201076731
Adjusted R-squared0.999877079384415
F-TEST (value)195224.96459656
F-TEST (DF numerator)6
F-TEST (DF denominator)138
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.502362510695439
Sum Squared Residuals34.8267967170071


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1501501.844436841823-0.844436841823466
2485484.8829435883170.117056411682668
3464463.9326979733980.0673020266015946
4460459.9640686129250.0359313870753726
5467467.081999449823-0.0819994498230227
6460460.100940778325-0.100940778324548
7448448.164836208359-0.164836208359217
8443443.160967795355-0.160967795354641
9436436.180576195146-0.180576195145646
10431431.195715925779-0.195715925778848
11484484.091538503939-0.0915385039386273
12510509.0627707940810.937229205919149
13513513.036159454706-0.0361594547064236
14503502.9838019856610.0161980143392029
15471471.062613021879-0.0626130218786618
16471471.022194250343-0.0221942503434258
17476476.120716669971-0.120716669971165
18475474.1252949817680.87470501823209
19470470.137100049006-0.137100049005804
20461461.152215946302-0.152215946301601
21455455.11900009687-0.119000096870104
22456455.119000096870.880999903129895
23517516.9444352184420.0555647815580166
24525525.900015863276-0.900015863276438
25523522.8505929382890.149407061710655
26519518.8834073630330.116592636966544
27509508.8661984523410.133801547658903
28512511.8752026057930.124797394207046
29519518.9134738839410.0865261160594088
30517516.8768567102740.123143289726316
31510509.8964651100650.103534889935311
32509509.905535924357-0.905535924356648
33501499.9364824569131.06351754308748
34507506.8799900857980.120009914201947
35569569.724523845185-0.72452384518521
36580579.7381979556660.261802044334196
37578577.6889751674950.311024832504827
38565565.773879955036-0.773879955036055
39547547.759271821313-0.759271821313276
40555554.7947986640690.20520133593139
41562561.8330699422160.166930057783753
42561560.8454754199040.154524580096485
43555555.889361179756-0.889361179755928
44544543.9054567685660.0945432314339837
45537536.9370037115710.062996288428732
46543542.8690397317160.130960268284434
47594593.6928307769570.307169223043061
48611610.6352062441870.364793755813476
49613612.6398083893210.360191610679318
50611610.7130405888420.286959411158317
51594593.7218426070740.278157392925617
52595595.739050366712-0.739050366712259
53591590.8601155758930.139884424106596
54589589.864784381868-0.864784381867655
55584583.8768562467620.123143753237886
56573572.8956640992870.104335900712707
57567566.9153629932560.0846370067441861
58569568.91929806710.0807019328995088
59621620.7330404505470.266959549453318
60629628.7086536021420.291346397857532
61628627.7084534653260.291546534673988
62612611.792667348240.207332651759988
63595595.80155986065-0.801559860650222
64597596.8303963840470.169603615953054
65593592.9146681160820.0853318839178652
66590589.9300984777090.0699015222906932
67580579.9609353676260.0390646323737611
68574574.009891203844-0.00989120384416442
69573572.984635996280.0153640037204581
70573573.003534497278-0.00353449727837724
71620619.9015814121120.0984185878877877
72626625.893044347430.106955652570485
73620619.9036724271060.0963275728939233
74588586.9677230137561.03227698624434
75566565.9720800418720.0279199581281656
76557558.060543462962-1.06054346296188
77561561.082677167163-0.0826771671634487
78549549.113113783447-0.113113783447465
79532532.142549715649-0.142549715649194
80526526.153844866615-0.153844866615228
81511511.18799258659-0.187992586590061
82499499.195017361108-0.19501736110819
83555555.091440349717-0.0914403497173359
84565564.0835036954840.916496304515982
85542542.119675615317-0.119675615316462
86527527.101356377903-0.10135637790287
87510510.173321938147-0.173321938147215
88514514.140663671662-0.140663671662397
89517517.204769575256-0.204769575256036
90508507.2426760655960.757323934403502
91493493.272822050887-0.272822050886545
92490490.235337669114-0.235337669113703
93469469.261324610405-0.261324610405201
94478477.2349563896460.765043610353934
95528529.10803588714-1.10803588713985
96534533.0766652476140.923334752386349
97518518.123929495122-0.123929495122407
98506506.109964753648-0.109964753647833
99502502.110717634239-0.110717634238847
100516516.03683736248-0.0368373624796877
101528528.078173665597-0.0781736655966503
102533533.040819919031-0.0408199190307438
103536535.9773437567940.0226562432057249
104537537.019516093003-0.01951609300281
105524523.0427021205080.957297879491723
106536536.050793397582-0.0507933975820834
107587586.8749598863610.125040113639369
108597595.881473902241.11852609775981
109581580.8792485639220.12075143607825
110564564.884715918759-0.884715918759135
111558556.9382500667741.06174993322619
112575574.9319913503590.0680086496413746
113580580.993040198335-0.993040198335143
114575574.9967083202270.00329167977288161
115563564.015516172752-1.0155161727523
116552550.992837908821.00716209118016
117537537.019449093898-0.0194490938981244
118545545.020273474501-0.0202734745013668
119601600.9215654059010.0784345940987712
120604604.904891395873-0.904891395872614
121586586.921631219393-0.921631219393104
122564563.9793890738440.0206109261562677
123549548.0252752002160.974724799783648
124551551.061691240309-0.0616912403084659
125556556.145095918534-0.145095918533856
126548548.221063367759-0.221063367759126
127540540.206345745694-0.206345745693543
128531531.213615328637-0.213615328637379
129521520.2742857379160.725714262084305
130519518.2285977499570.771402250043174
131572572.098652363511-0.0986523635106971
132581582.063613602093-1.06361360209252
133563563.064789588009-0.0647895880094908
134548548.058628179088-0.0586281790880352
135539539.074411147673-0.0744111476733008
136541541.045664121696-0.0456641216957534
137562561.0767992928760.923200707124103
138559559.07297386167-0.0729738616701632
139546546.080219611277-0.080219611276598
140536536.996913765568-0.996913765568534
141528526.9963561826221.00364381737815
142530530.981125957811-0.981125957811138
143582581.8374636333820.162536366618282
144599598.8358408582110.16415914178851
145584583.791752963140.208247036860084


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.04241168505114850.08482337010229690.957588314948852
110.01204180850424380.02408361700848770.987958191495756
120.2301180282865160.4602360565730320.769881971713484
130.2058510033593240.4117020067186480.794148996640676
140.1250557011729130.2501114023458260.874944298827087
150.07183069843197170.1436613968639430.928169301568028
160.07063788977614190.1412757795522840.929362110223858
170.04187079226224720.08374158452449450.958129207737753
180.2231356176982310.4462712353964630.776864382301769
190.2076072802017020.4152145604034050.792392719798298
200.1608993918434380.3217987836868750.839100608156562
210.1129288284456750.225857656891350.887071171554325
220.2277414633952360.4554829267904720.772258536604764
230.1861359320678420.3722718641356840.813864067932158
240.1923424812078490.3846849624156980.807657518792151
250.2704950228560460.5409900457120920.729504977143954
260.2194350652038370.4388701304076750.780564934796163
270.1721475932104720.3442951864209440.827852406789528
280.1311596081837390.2623192163674780.868840391816261
290.101023619116940.202047238233880.89897638088306
300.07418221920329690.1483644384065940.925817780796703
310.05354960946590770.1070992189318150.946450390534092
320.1423282242303870.2846564484607740.857671775769613
330.2929108308856050.585821661771210.707089169114395
340.2421804886598130.4843609773196260.757819511340187
350.2753261682542460.5506523365084920.724673831745754
360.2523923117607050.504784623521410.747607688239295
370.2398989691901420.4797979383802850.760101030809858
380.3081998948715510.6163997897431010.691800105128449
390.3442351844032180.6884703688064370.655764815596782
400.2975802122251490.5951604244502980.702419787774851
410.2501497152057810.5002994304115620.749850284794219
420.2072718901441740.4145437802883480.792728109855826
430.3425039922017150.6850079844034290.657496007798285
440.2964276566157080.5928553132314170.703572343384292
450.2513069769895070.5026139539790140.748693023010493
460.2138142231869120.4276284463738240.786185776813088
470.2017038612393610.4034077224787220.798296138760639
480.1904299296900680.3808598593801360.809570070309932
490.170318172922440.3406363458448790.82968182707756
500.1447587703804470.2895175407608950.855241229619553
510.1211960678326550.242392135665310.878803932167345
520.1621619042887630.3243238085775260.837838095711237
530.1318376694745820.2636753389491630.868162330525418
540.2077165167307730.4154330334615470.792283483269227
550.175651895236080.3513037904721610.82434810476392
560.1454778878835380.2909557757670750.854522112116462
570.1182020660472920.2364041320945840.881797933952708
580.09501230762440340.1900246152488070.904987692375597
590.07598912057036840.1519782411407370.924010879429632
600.05986071095387310.1197214219077460.940139289046127
610.04676522151713980.09353044303427960.95323477848286
620.03574601028097480.07149202056194960.964253989719025
630.07681658047091180.1536331609418240.923183419529088
640.061003303101730.122006606203460.93899669689827
650.04764702829110670.09529405658221340.952352971708893
660.03675970745400650.07351941490801290.963240292545994
670.02810114305609030.05620228611218060.97189885694391
680.02149906500792750.04299813001585490.978500934992073
690.01592699844579670.03185399689159330.984073001554203
700.01172049691796740.02344099383593470.988279503082033
710.008392693262502150.01678538652500430.991607306737498
720.005922558706164490.0118451174123290.994077441293835
730.004125670290038120.008251340580076240.995874329709962
740.00879790097917190.01759580195834380.991202099020828
750.006718103470191320.01343620694038260.993281896529809
760.029847573753430.059695147506860.97015242624657
770.02266908096029330.04533816192058660.977330919039707
780.01701895823772440.03403791647544890.982981041762276
790.01267694358219740.02535388716439470.987323056417803
800.00927086954214480.01854173908428960.990729130457855
810.006919199117050630.01383839823410130.993080800882949
820.005549509955059660.01109901991011930.99445049004494
830.003994139578895450.007988279157790890.996005860421105
840.007952423938484060.01590484787696810.992047576061516
850.005916219491977280.01183243898395460.994083780508023
860.004215487052270170.008430974104540340.99578451294773
870.003141119698788880.006282239397577770.996858880301211
880.002288643953555090.004577287907110180.997711356046445
890.00158738391202430.003174767824048590.998412616087976
900.002834583827984090.005669167655968180.997165416172016
910.002156417249887310.004312834499774610.997843582750113
920.001556090308250720.003112180616501440.998443909691749
930.001261921002423660.002523842004847330.998738078997576
940.001786009769145010.003572019538290030.998213990230855
950.006324301076658230.01264860215331650.993675698923342
960.01613861287541290.03227722575082570.983861387124587
970.0122213016887650.02444260337753010.987778698311235
980.008772884351601580.01754576870320320.991227115648398
990.006344127615595090.01268825523119020.993655872384405
1000.004678657324457240.009357314648914480.995321342675543
1010.003236591851021160.006473183702042320.996763408148979
1020.00219373204943830.00438746409887660.997806267950562
1030.001519612290923350.00303922458184670.998480387709077
1040.001226627007051270.002453254014102540.998773372992949
1050.001413117829175990.002826235658351980.998586882170824
1060.001188472256856830.002376944513713650.998811527743143
1070.0007628564118164890.001525712823632980.999237143588183
1080.002761898694509560.005523797389019120.99723810130549
1090.001995260449237360.003990520898474710.998004739550763
1100.008909391052555970.01781878210511190.991090608947444
1110.01400166591937660.02800333183875320.985998334080623
1120.01000313076368430.02000626152736860.989996869236316
1130.01992791868387270.03985583736774540.980072081316127
1140.01445514352299880.02891028704599750.985544856477001
1150.03607550675542910.07215101351085820.963924493244571
1160.06676001766176550.1335200353235310.933239982338234
1170.04897022680537780.09794045361075550.951029773194622
1180.03483931232894750.06967862465789510.965160687671052
1190.03123620049908660.06247240099817330.968763799500913
1200.03265013389850870.06530026779701730.967349866101491
1210.05497993596291780.1099598719258360.945020064037082
1220.04313629946460970.08627259892921950.95686370053539
1230.0703966023671230.1407932047342460.929603397632877
1240.06049471981950740.1209894396390150.939505280180493
1250.0412074424922920.0824148849845840.958792557507708
1260.02816314371226440.05632628742452890.971836856287736
1270.02172652607006110.04345305214012220.978273473929939
1280.01992857014900220.03985714029800440.980071429850998
1290.0217037827097050.043407565419410.978296217290295
1300.02749395881425610.05498791762851220.972506041185744
1310.01941068026495080.03882136052990160.980589319735049
1320.03680303837218380.07360607674436760.963196961627816
1330.02648605797458620.05297211594917250.973513942025414
1340.02167768897703030.04335537795406070.97832231102297
1350.2956662147164710.5913324294329420.704333785283529


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level210.166666666666667NOK
5% type I error level520.412698412698413NOK
10% type I error level710.563492063492063NOK