Multiple Linear Regression - Estimated Regression Equation
Totaal[t] = -4313.80758145774 + 2.15013559364343Jaar[t] + 0.25107707055812Voeding[t] + 0.155544647236055Dranken[t] -0.0177945379198081Tabaksproducten[t] + 0.287231922445241Textiel[t] + 0.0261775775351494Kleding[t] + 0.306359700497666`Apparatuur\r\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)-4313.80758145774469.993364-9.178400
Jaar2.150135593643430.2357899.118900
Voeding0.251077070558120.0586974.27753.4e-051.7e-05
Dranken0.1555446472360550.0259126.002900
Tabaksproducten-0.01779453791980810.027826-0.63950.5235240.261762
Textiel0.2872319224452410.0338468.486400
Kleding0.02617757753514940.0141751.84670.0668520.033426
`Apparatuur\r\r`0.3063597004976660.0457436.697400


Multiple Linear Regression - Regression Statistics
Multiple R0.942080231068723
R-squared0.887515161770498
Adjusted R-squared0.882008910948075
F-TEST (value)161.183206212885
F-TEST (DF numerator)7
F-TEST (DF denominator)143
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.62300956192011
Sum Squared Residuals1877.04635486433


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
175.580.1682482526674-4.66824825266737
283.287.7216907473479-4.52169074734792
394.596.5321418376414-2.03214183764141
483.381.37022734396541.92977265603464
592.794.5146543147378-1.81465431473776
689.890.9656613273124-1.16566132731241
774.874.3206807917890.479319208211007
881.577.76319542212563.73680457787438
992.893.2773188460584-0.477318846058418
1092.897.5498688745316-4.74986887453162
1191.794.2558744034851-2.55587440348509
1283.584.0581596418147-0.558159641814665
1392.889.62533355160653.1746664483935
1491.389.47876311052391.82123688947613
1599.5100.045290760906-0.545290760905918
1687.685.86585474578451.73414525421553
1795.394.13502802248491.1649719775151
1898.594.57889105884963.92110894115041
1980.187.8818196069555-7.78181960695553
2084.284.18869240289690.0113075971030561
2192.496.7807742491494-4.38077424914941
2298105.472236305994-7.47223630599413
2392.298.0523934358976-5.85239343589763
248081.3825322195406-1.38253221954064
2588.789.414949326932-0.714949326932047
2687.490.0751373181369-2.67513731813689
2796.195.93635511666990.163644883330069
2894.194.4048138301955-0.30481383019545
2991.992.4529967232009-0.552996723200864
3093.694.8797656195114-1.27976561951144
3183.588.355909454251-4.85590945425099
3280.883.1036978134858-2.30369781348581
3396.3100.816840732937-4.51684073293712
34101.5107.376224099572-5.87622409957152
3591.693.8133868774512-2.21338687745118
368486.5134366128835-2.51343661288352
3791.891.39556355633590.404436443664088
3890.490.9239335182408-0.523933518240796
399894.8756955425523.124304457448
4095.594.27929096924491.22070903075511
4190.587.75682015727952.74317984272047
4297.193.79686603617373.30313396382632
4387.988.6666037988991-0.766603798899147
4479.878.29995093804641.50004906195357
45102101.5523344494430.447665550556643
46104.3106.29593639596-1.99593639595973
4792.190.98662421612091.11337578387906
4895.988.53104719756367.36895280243644
4989.189.01059983500330.0894001649966497
5092.289.60108572577232.59891427422772
51107.5106.2637605922771.23623940772252
5299.795.4433444722714.25665552772896
5392.290.71970922586781.48029077413218
54108.9106.2067374505632.69326254943736
5589.889.58565028455010.214349715449907
5689.484.11748790253565.28251209746438
57107.6105.5791882622972.02081173770268
58105.6104.0254905266311.57450947336868
59100.998.9507458278671.94925417213298
60102.994.25300139456318.64699860543688
6196.290.23563191818245.96436808181757
6294.793.16292771697371.53707228302634
63107.3103.8678070847963.43219291520362
6410399.75540125807783.24459874192217
6596.195.50405618044890.595943819551141
66109.8106.9063457845222.89365421547786
6785.486.9226324809242-1.52263248092419
6889.988.75831878945551.14168121054454
69109.3108.6687997232260.63120027677381
70101.2101.931493145564-0.73149314556369
71104.7104.5505782064150.149421793584949
72102.496.7101543293955.68984567060503
7397.795.20814264662452.49185735337555
7498.995.40600982183123.4939901781688
75115108.5717008096416.42829919035939
7697.595.94579224773141.55420775226856
77107.3103.5381585410753.76184145892505
78112.3111.3649190639230.935080936076783
7988.595.9791386989142-7.47913869891416
8092.992.64380864668510.256191353314888
81108.8111.708665728986-2.90866572898634
82112.3114.857358009022-2.55735800902225
83107.3111.061345967443-3.76134596744278
84101.896.98350690428444.81649309571564
85105104.6924774398630.307522560136843
86103.4103.3303584713820.0696415286184344
87116.7116.850499750565-0.150499750564987
88103.6106.045768521165-2.44576852116492
89108.8107.5672125143191.232787485681
90117116.1654155412320.834584458768078
91100.9100.6563324628880.243667537111663
92100.898.06611919313312.73388080686685
93109.7108.9947047144750.705295285525046
94121121.980002355193-0.980002355192573
95114.1113.172087398820.927912601180373
96105.597.3121151621428.18788483785803
97112.5110.0361978644832.46380213551717
98113.8112.5810781298391.21892187016134
99115.3114.797280457490.502719542510016
100120.4115.973070642254.42692935774962
101111.1107.52978224673.57021775329997
102120.1112.299570307447.80042969256002
103106.1107.602823213549-1.50282321354855
10495.992.2777529411893.62224705881105
105119.4114.8532322126824.54676778731823
106117.4116.5156222521620.884377747837731
10798.6100.236261584182-1.63626158418209
10899.798.20706989991141.49293010008856
10987.495.8375860250505-8.43758602505049
11090.895.6659852151678-4.86598521516779
111101.3105.927645252742-4.62764525274208
11293.2100.136479335288-6.93647933528832
11395.193.93423497782281.16576502217715
114101.9106.426698656862-4.52669865686197
1158797.064777463963-10.064777463963
11686.287.5374136259074-1.33741362590741
117105108.408880181042-3.40888018104232
118104.1108.384332236164-4.28433223616373
11999.2100.734307502813-1.53430750281319
12095.2101.409950839849-6.20995083984925
12192.793.3353477848439-0.635347784843933
12299.398.67018352650350.62981647349648
123113.5114.562165836739-1.06216583673879
124104.7107.385776422404-2.68577642240426
125100.599.57545703616040.924542963839643
126116.2116.53022411871-0.330224118710164
12794.199.6110716459396-5.5110716459396
12894.895.3694573304407-0.569457330440668
129115.1110.4850121593764.61498784062373
130110112.514438015818-2.51443801581797
131108.4107.3743836583611.02561634163928
132103.9101.8179033104932.08209668950721
133102.9102.7531646096780.146835390321657
134107.7101.6698430491036.0301569508969
135126.7119.999660639366.70033936064029
136108.8104.8495231130453.95047688695512
137117.1113.8675192380043.23248076199644
138112.2110.572879080781.6271209192199
13994.795.9024924203647-1.20249242036472
140102.798.96876837974293.73123162025711
141119.1116.5488099714562.55119002854447
142110.6110.705675200218-0.105675200217655
143109.1107.8840179940961.21598200590403
144105.3104.3032731435360.996726856463614
145103.4105.926495658875-2.52649565887531
146103.7110.069835755534-6.36983575553441
147117118.910056207416-1.91005620741631
148101.2105.600902023956-4.40090202395626
149105.4109.007408559713-3.60740855971304
150110.3114.577831325035-4.2778313250354
15197.7103.850289415078-6.15028941507818


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.3207855475027740.6415710950055490.679214452497225
120.1754071880265180.3508143760530350.824592811973482
130.08824152756826830.1764830551365370.911758472431732
140.04094146694521290.08188293389042570.959058533054787
150.0343045196874190.06860903937483810.965695480312581
160.02110452432155890.04220904864311790.978895475678441
170.01850940384667170.03701880769334340.981490596153328
180.01212500750124170.02425001500248340.987874992498758
190.4504713999598210.9009427999196420.549528600040179
200.3848128553852840.7696257107705690.615187144614716
210.4459926334693110.8919852669386210.554007366530689
220.473919374930580.9478387498611590.52608062506942
230.5029339969597060.9941320060805870.497066003040294
240.4924724622075830.9849449244151670.507527537792417
250.4192927534179890.8385855068359790.580707246582011
260.4268178077260620.8536356154521240.573182192273938
270.3653013593333390.7306027186666780.634698640666661
280.3045317387334340.6090634774668670.695468261266566
290.2534784660995060.5069569321990120.746521533900494
300.2244047502051720.4488095004103440.775595249794828
310.2719969240509650.5439938481019310.728003075949035
320.2566960032920730.5133920065841450.743303996707927
330.261744931955210.523489863910420.73825506804479
340.2759300551626250.551860110325250.724069944837375
350.2564967545460520.5129935090921030.743503245453948
360.2600733478027560.5201466956055130.739926652197244
370.2384053040867320.4768106081734640.761594695913268
380.2011608248917150.402321649783430.798839175108285
390.2228969317544340.4457938635088680.777103068245566
400.1934148581680130.3868297163360270.806585141831987
410.1600622394856560.3201244789713130.839937760514344
420.1382859556073480.2765719112146960.861714044392652
430.1155816678855990.2311633357711970.884418332114401
440.09055232604575570.1811046520915110.909447673954244
450.07740847880716590.1548169576143320.922591521192834
460.06991523452414680.1398304690482940.930084765475853
470.0543295161687420.1086590323374840.945670483831258
480.108145735175190.216291470350380.89185426482481
490.09119095764557510.182381915291150.908809042354425
500.07079184762685070.1415836952537010.929208152373149
510.05585685788673210.1117137157734640.944143142113268
520.04401363033759620.08802726067519240.955986369662404
530.0369225329377450.073845065875490.963077467062255
540.02834891728783610.05669783457567210.971651082712164
550.02419635972829510.04839271945659030.975803640271705
560.02087444652604790.04174889305209580.979125553473952
570.01558896043126410.03117792086252820.984411039568736
580.01198049672151640.02396099344303280.988019503278484
590.008716316745477420.01743263349095480.991283683254523
600.02332045960154550.04664091920309110.976679540398455
610.02288370363634920.04576740727269830.977116296363651
620.01783806549003690.03567613098007380.982161934509963
630.01353639666852030.02707279333704060.98646360333148
640.009974416524593880.01994883304918780.990025583475406
650.009762047088594210.01952409417718840.990237952911406
660.00714531878896080.01429063757792160.992854681211039
670.01154201939714490.02308403879428980.988457980602855
680.008828724270056020.0176574485401120.991171275729944
690.006313921500507990.0126278430010160.993686078499492
700.005257425444141220.01051485088828240.994742574555859
710.003816733467253230.007633466934506460.996183266532747
720.004329150942991620.008658301885983250.995670849057008
730.003140994016453490.006281988032906970.996859005983546
740.002425041943479240.004850083886958480.997574958056521
750.005840662149503220.01168132429900640.994159337850497
760.0045452305046430.0090904610092860.995454769495357
770.003819254897167460.007638509794334920.996180745102832
780.002710035854523340.005420071709046680.997289964145477
790.02168763030733760.04337526061467530.978312369692662
800.01651002650952130.03302005301904250.983489973490479
810.017015579754150.03403115950829990.98298442024585
820.01592945533553490.03185891067106980.984070544664465
830.01979718264085360.03959436528170720.980202817359146
840.01951620996079860.03903241992159720.980483790039201
850.01523853910770750.03047707821541510.984761460892292
860.01125420568285950.0225084113657190.98874579431714
870.008432503330114680.01686500666022940.991567496669885
880.008229378311153120.01645875662230620.991770621688847
890.00584144327245650.0116828865449130.994158556727543
900.00426201576092940.00852403152185880.995737984239071
910.003410250537539210.006820501075078420.996589749462461
920.002908068991177250.00581613798235450.997091931008823
930.001978536169983710.003957072339967420.998021463830016
940.00150167247219390.00300334494438780.998498327527806
950.001012683281654330.002025366563308660.998987316718346
960.003907871626438960.007815743252877920.996092128373561
970.002982571859199970.005965143718399950.9970174281408
980.002196392682475970.004392785364951950.997803607317524
990.002041654533068880.004083309066137760.997958345466931
1000.001784445265344790.003568890530689580.998215554734655
1010.001605297666286550.00321059533257310.998394702333713
1020.003463382745513220.006926765491026440.996536617254487
1030.00330891653880030.006617833077600590.9966910834612
1040.005653642171908550.01130728434381710.994346357828091
1050.006314193078221580.01262838615644320.993685806921778
1060.005277916537874780.01055583307574960.994722083462125
1070.007258181244411870.01451636248882370.992741818755588
1080.008151818771866010.0163036375437320.991848181228134
1090.06619244520353470.1323848904070690.933807554796465
1100.08908200043624270.1781640008724850.910917999563757
1110.1089637122651320.2179274245302650.891036287734868
1120.1760733190925230.3521466381850460.823926680907477
1130.1843802978408780.3687605956817560.815619702159122
1140.1957751088506470.3915502177012950.804224891149353
1150.4910323670148320.9820647340296640.508967632985168
1160.4378082811131520.8756165622263030.562191718886848
1170.4537456522738680.9074913045477370.546254347726131
1180.5564276307907450.887144738418510.443572369209255
1190.506520822690820.986958354618360.49347917730918
1200.6707822852496140.6584354295007710.329217714750386
1210.6220705060786380.7558589878427240.377929493921362
1220.5565953220479760.8868093559040480.443404677952024
1230.5750009841937510.8499980316124970.424999015806249
1240.5545467026724380.8909065946551230.445453297327562
1250.5495288885117290.9009422229765420.450471111488271
1260.546645161897190.906709676205620.45335483810281
1270.7829972657051490.4340054685897020.217002734294851
1280.8686084508561870.2627830982876250.131391549143813
1290.8256718778909130.3486562442181750.174328122109087
1300.9566243399076040.08675132018479240.0433756600923962
1310.954347885548960.09130422890208020.0456521144510401
1320.9741337103835280.05173257923294370.0258662896164718
1330.961275776987850.07744844602430080.0387242230121504
1340.9773242897945570.0453514204108870.0226757102054435
1350.9851104307944750.02977913841104980.0148895692055249
1360.9948445285143120.01031094297137490.00515547148568746
1370.9918744512353760.0162510975292490.00812554876462449
1380.9796666300429060.04066673991418830.0203333699570942
1390.951614589276580.09677082144683930.0483854107234196
1400.8740078504963320.2519842990073360.125992149503668


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level210.161538461538462NOK
5% type I error level620.476923076923077NOK
10% type I error level720.553846153846154NOK