Multiple Linear Regression - Estimated Regression Equation
Schoolprestaties[t] = + 7.09477021123286 + 0.31890776231257Goingout[t] -0.124222782962212Relation[t] + 0.524420393526331Family[t] + 0.0624178602190103Friends[t] -0.0133761281617639Job[t] + 0.0047590998898964t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.094770211232861.5242174.65477e-064e-06
Goingout0.318907762312570.1314882.42540.0164880.008244
Relation-0.1242227829622120.103833-1.19640.2334520.116726
Family0.5244203935263310.1841812.84730.0050320.002516
Friends0.06241786021901030.138570.45040.6530460.326523
Job-0.01337612816176390.174313-0.07670.9389360.469468
t0.00475909988989640.0060370.78840.431730.215865


Multiple Linear Regression - Regression Statistics
Multiple R0.336065294677035
R-squared0.112939882286363
Adjusted R-squared0.0772193406334645
F-TEST (value)3.16176286977438
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0.00600449399077663
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.35594263195998
Sum Squared Residuals1678.09029140197


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1149.044934479126724.95506552087328
2813.0319698639731-5.03196986397311
31212.5613503023939-0.561350302393922
4711.8831905647296-4.88319056472956
51011.8625200096427-1.86252000964267
6911.4430913238081-2.44309132380808
71613.59216851224622.40783148775382
879.55093553017966-2.55093553017966
91411.8733480051552.12665199484503
10612.2159376826882-6.21593768268816
111611.75600293962534.24399706037467
121111.3036424286029-0.30364242860287
131711.82244313975345.17755686024664
141210.74906071996871.2509392800313
15710.1863991501386-3.18639915013859
161311.37139242446341.62860757553659
1798.618336222096620.38166377790338
181512.84412338990682.1558766100932
19711.0043441016015-4.00434410160152
20910.235788372443-1.235788372443
21711.0220707054286-4.02207070542859
221412.57650014334811.42349985665188
231510.94688156925574.05311843074434
24711.876115839889-4.87611583988896
251311.82263033808391.17736966191612
261711.82738943797385.17261056202623
271512.31905979472082.68094020527917
28149.167321378807324.83267862119268
291412.24134341678061.75865658321936
30810.6022871336545-2.60228713365453
31810.5645621684314-2.56456216843143
321212.3476674450475-0.347667445047518
331412.30994247982441.69005752017559
34811.7827824460116-3.78278244601163
351110.30717487079140.692825129208556
361611.25395852811054.74604147188946
371112.6250762345359-1.62507623453591
38811.1163515317186-3.1163515317186
391410.59692507747813.40307492252193
401610.48047997483295.51952002516712
411412.22712140766841.77287859233157
42512.196446313024-7.19644631302401
4389.52359605232962-1.52359605232963
441010.5012378830133-0.501237883013262
45812.2367200981944-4.23672009819438
461312.4630084398070.536991560192978
47159.883552381477385.11644761852262
48611.1714659353598-5.17146593535975
491210.02930078408251.97069921591751
501412.84744585743811.15255414256194
51510.6707358859709-5.6707358859709
521512.44940710978972.55059289021031
531111.8088519448781-0.808851944878103
5489.78653450039786-1.78653450039786
551311.8350717544721.16492824552803
561411.93520177429992.06479822570014
571210.11971956238011.88028043761988
581613.30510918658082.69489081341916
59108.818218417472271.18178158252773
601513.53886917225991.46113082774012
61810.3273321439435-2.32733214394348
621611.15694631891384.84305368108621
631912.74881283167326.25118716832679
641410.73260418453963.26739581546044
65710.5903300943066-3.59033009430658
661311.87072024344681.12927975655324
671511.91105294118333.08894705881673
6879.29797533801441-2.29797533801441
691312.62639239172690.373607608273148
70410.3119194412576-6.31191944125757
711411.5789334622362.42106653776402
721311.12657295121351.87342704878647
73119.875634796959151.12436520304085
741410.96744876409563.03255123590445
751211.42276980795360.577230192046442
761512.7894034992582.21059650074199
771411.90969421407392.09030578592615
781311.62526642607821.37473357392178
79711.0659764448523-4.06597644485234
8059.35508453669317-4.35508453669317
81711.5095690089879-4.50956900898792
821312.61841143138320.381588568616832
831310.37378773982622.62621226017378
841111.2951417421685-0.295141742168539
85610.0355675488003-4.03556754880033
861212.8582721291408-0.858272129140831
8789.93676633554693-1.93676633554693
881112.9283447121464-1.92834471214636
891214.3383814422902-2.33838144229024
9099.8285635954063-0.828563595406304
911210.24614066319921.75385933680077
921313.2285448979534-0.228544897953441
931612.9010201073693.098979892631
941612.05292476637223.94707523362776
951112.6331735367171-1.63317353671713
96811.2963907475725-3.29639074757253
97411.8463777678438-7.84637776784385
9879.86585938917152-2.86585938917152
991411.40665662500232.59334337499772
1001111.8147247869069-0.814724786906851
1011713.18421299076033.81578700923972
1021512.95722813453982.04277186546016
1031412.49604628199431.50395371800571
104511.7606576427565-6.7606576427565
105411.4750500867612-7.47505008676117
1061913.73103551087165.26896448912841
1071110.21422292233140.785777077668605
1081510.45263685258834.54736314741166
109109.917953414033370.0820465859666293
110911.4799062566951-2.47990625669509
1111210.50704253674331.49295746325668
1121511.5351160423143.46488395768603
113712.986767826168-5.98676782616803
1141312.28935800239120.710641997608773
1151414.9374967008966-0.937496700896634
1161412.25570842806441.74429157193555
1171411.51616733949682.48383266050322
118811.1367207747657-3.1367207747657
1191511.95107796542163.04892203457843
1201510.38415456000624.61584543999377
121911.1924490602674-2.19244906026743
1221612.12385370911923.87614629088081
123912.0215405054586-3.02154050545861
1241513.61258005054051.38741994945953
1251512.29854032707352.70145967292648
126611.6822775182012-5.68227751820122
127811.9309061628458-3.93090616284576
1281512.27268924225792.72731075774209
1291010.7466499921507-0.746649992150716
130910.6451172238788-1.64511722387884
1311413.95255925282330.0474407471766966
1321213.0771907240761-1.07719072407606
133812.7611785846601-4.76117858466012
1341111.8386283708142-0.838628370814164
1351312.74580800510970.254191994890344
136911.3114873478434-2.31148734784336
1371511.82535517427533.17464482572473
138139.975710541869783.02428945813022
1391512.36516772553212.63483227446793
1401412.22289363529911.77710636470091
1411611.0969765038924.90302349610801
1421212.3794450252018-0.379445025201756
1431411.19783519843282.80216480156722
1441011.0824066608837-1.08240666088371
1451011.5673306182425-1.56733061824253
146413.1304419943729-9.13044199437285
147811.5815889070702-3.58158890707025
1481711.13236857529095.86763142470914
1491612.60001230508813.39998769491194
1501213.9805642905123-1.98056429051232
1511211.04231078015240.957689219847574
1521513.19518312903471.80481687096535
153912.9334263448874-3.93342634488739
1541312.01771946467980.982280535320237
1551411.9385694685022.06143053149801
1561110.96207336567270.0379266343272837


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.9471933264771990.1056133470456010.0528066735228007
110.9569044646653240.08619107066935120.0430955353346756
120.9206978886670660.1586042226658670.0793021113329336
130.8824925319936260.2350149360127480.117507468006374
140.8317873625596430.3364252748807150.168212637440357
150.8336376653472590.3327246693054830.166362334652741
160.7723371665418290.4553256669163410.227662833458171
170.7024496549580270.5951006900839460.297550345041973
180.6325402962008120.7349194075983760.367459703799188
190.6829098768855090.6341802462289830.317090123114491
200.6082752751542140.7834494496915720.391724724845786
210.5917435211670030.8165129576659950.408256478832997
220.5567149981069440.8865700037861110.443285001893056
230.6467210214526390.7065579570947230.353278978547361
240.7056134233688590.5887731532622820.294386576631141
250.6551070691042880.6897858617914240.344892930895712
260.7217081490045920.5565837019908160.278291850995408
270.7086694968276310.5826610063447390.291330503172369
280.73340359664620.5331928067076010.2665964033538
290.6886346693375940.6227306613248120.311365330662406
300.7125176109189860.5749647781620270.287482389081014
310.7562363427989990.4875273144020020.243763657201001
320.7083192326363520.5833615347272960.291680767363648
330.6560954595106990.6878090809786020.343904540489301
340.6420518430772620.7158963138454750.357948156922738
350.5854020137025210.8291959725949590.414597986297479
360.5639563260291570.8720873479416850.436043673970843
370.5112568402235650.9774863195528690.488743159776435
380.5248226555145060.9503546889709880.475177344485494
390.5033378797847780.9933242404304450.496662120215222
400.5029329642220030.9941340715559940.497067035777997
410.4950231600337150.9900463200674310.504976839966285
420.7352438705477540.5295122589044910.264756129452246
430.7198731233279770.5602537533440470.280126876672023
440.6752801143931770.6494397712136460.324719885606823
450.704033862342070.5919322753158610.29596613765793
460.6568998425865460.6862003148269070.343100157413454
470.6931008565425940.6137982869148120.306899143457406
480.7412660199544850.5174679600910310.258733980045515
490.7145014702058340.5709970595883320.285498529794166
500.672729152645720.654541694708560.32727084735428
510.76749430661960.46501138676080.2325056933804
520.7459303113517370.5081393772965260.254069688648263
530.7056164398530540.5887671202938920.294383560146946
540.6767978560105640.6464042879788720.323202143989436
550.6367180018798890.7265639962402220.363281998120111
560.5993524020402760.8012951959194470.400647597959724
570.562168621715320.875662756569360.43783137828468
580.54633363365210.9073327326957990.4536663663479
590.4993606759563510.9987213519127010.50063932404365
600.4565070893702930.9130141787405850.543492910629707
610.4350660528614840.8701321057229690.564933947138516
620.5092439514543150.981512097091370.490756048545685
630.6172189644325640.7655620711348720.382781035567436
640.6002773781719860.7994452436560270.399722621828014
650.6197037625617430.7605924748765140.380296237438257
660.5771880552008480.8456238895983040.422811944799152
670.5650771797932680.8698456404134630.434922820206732
680.5900208895666760.8199582208666480.409979110433324
690.5456256665791540.9087486668416930.454374333420846
700.6700345282699290.6599309434601410.329965471730071
710.6451899968746790.7096200062506430.354810003125321
720.6112896581813530.7774206836372940.388710341818647
730.5694279756381340.8611440487237330.430572024361866
740.5604696651351260.8790606697297490.439530334864874
750.5169670271862570.9660659456274860.483032972813743
760.4910588040232340.9821176080464670.508941195976766
770.4644253616461780.9288507232923570.535574638353822
780.4265666629137530.8531333258275060.573433337086247
790.44949749574610.8989949914922010.5505025042539
800.4907604370768650.981520874153730.509239562923135
810.5303851832782340.9392296334435320.469614816721766
820.4908054730839410.9816109461678820.509194526916059
830.4721876154187730.9443752308375460.527812384581227
840.4262270216286530.8524540432573050.573772978371347
850.4373958778238040.8747917556476070.562604122176196
860.395411083541720.790822167083440.60458891645828
870.361906240514440.7238124810288790.63809375948556
880.3310527222569620.6621054445139230.668947277743038
890.3051892324699190.6103784649398370.694810767530081
900.267310914176890.5346218283537790.73268908582311
910.2395415451667220.4790830903334450.760458454833278
920.2040820321503480.4081640643006960.795917967849652
930.2036235988602650.407247197720530.796376401139735
940.219089260135090.4381785202701790.78091073986491
950.1908728826421970.3817457652843950.809127117357803
960.1827099039140240.3654198078280490.817290096085976
970.3339195490656210.6678390981312420.666080450934379
980.3259330843713780.6518661687427560.674066915628622
990.3061534058504020.6123068117008040.693846594149598
1000.2712629080207910.5425258160415820.728737091979209
1010.2911226654031360.5822453308062730.708877334596864
1020.2709263434927430.5418526869854860.729073656507257
1030.2452075548142810.4904151096285630.754792445185719
1040.351761172803710.703522345607420.64823882719629
1050.5913300215626910.8173399568746190.408669978437309
1060.6734630295444080.6530739409111840.326536970455592
1070.6272683809856990.7454632380286010.372731619014301
1080.6425549840939590.7148900318120820.357445015906041
1090.5948254757177060.8103490485645880.405174524282294
1100.572003497547130.8559930049057390.42799650245287
1110.5231724549946470.9536550900107050.476827545005353
1120.5124169656537080.9751660686925840.487583034346292
1130.6062962245504460.7874075508991080.393703775449554
1140.5535825152186950.8928349695626090.446417484781305
1150.502068116748860.9958637665022810.49793188325114
1160.4630007733719620.9260015467439250.536999226628038
1170.4387115430151970.8774230860303950.561288456984803
1180.4592309826950650.918461965390130.540769017304935
1190.4481186443331650.8962372886663290.551881355666835
1200.48951746037820.9790349207564010.5104825396218
1210.4541141371489080.9082282742978160.545885862851092
1220.5124042307272130.9751915385455740.487595769272787
1230.5275719136770750.944856172645850.472428086322925
1240.5381268279015010.9237463441969970.461873172098498
1250.5405388116369470.9189223767261060.459461188363053
1260.7177432946373460.5645134107253080.282256705362654
1270.8286593033109280.3426813933781440.171340696689072
1280.8088729610367050.3822540779265890.191127038963295
1290.7620835399011450.4758329201977110.237916460098855
1300.745319135453750.5093617290925010.25468086454625
1310.6830555347976160.6338889304047680.316944465202384
1320.6214286887541120.7571426224917760.378571311245888
1330.6676436319069290.6647127361861420.332356368093071
1340.6069331332495480.7861337335009040.393066866750452
1350.5633897207200280.8732205585599440.436610279279972
1360.5487238039123520.9025523921752950.451276196087648
1370.5404335629090470.9191328741819060.459566437090953
1380.4829439442340270.9658878884680550.517056055765973
1390.4321147388374960.8642294776749910.567885261162504
1400.5559359546656960.8881280906686090.444064045334304
1410.6158258789171140.7683482421657710.384174121082886
1420.5371300825589640.9257398348820730.462869917441036
1430.7853922373169990.4292155253660020.214607762683001
1440.6852532064571790.6294935870856420.314746793542821
1450.6628560744691170.6742878510617650.337143925530883
1460.5674291595775520.8651416808448950.432570840422448


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 level10.0072992700729927OK