Multiple Linear Regression - Estimated Regression Equation
Schoolprestaties[t] = -1.04453113130659 + 0.652082679626868Maand[t] + 0.453369383315178Sport[t] + 0.104010891725617GoingOut[t] -0.139234098376123Relation[t] + 0.267776689802747Family[t] -0.0757161560371348Friends[t] + 0.331523506685491Coach[t] + 0.000805781886864952Job[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.044531131306596.489602-0.1610.872350.436175
Maand0.6520826796268680.5514761.18240.2389430.119472
Sport0.4533693833151780.1763692.57060.0111470.005573
GoingOut0.1040108917256170.1441970.72130.4718640.235932
Relation-0.1392340983761230.100435-1.38630.1677520.083876
Family0.2677766898027470.1905161.40550.1619720.080986
Friends-0.07571615603713480.138136-0.54810.5844350.292217
Coach0.3315235066854910.1393362.37930.0186290.009314
Job0.0008057818868649520.1677640.00480.9961740.498087


Multiple Linear Regression - Regression Statistics
Multiple R0.440350188375158
R-squared0.193908288402037
Adjusted R-squared0.150039351716434
F-TEST (value)4.4201729755094
F-TEST (DF numerator)8
F-TEST (DF denominator)147
p-value8.1667707908073e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.22080695951841
Sum Squared Residuals1524.91882816088


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11410.18048682227383.81951317772617
2811.0324018344569-3.03240183445686
31211.47460766050450.525392339495486
4712.2211044476381-5.2211044476381
51012.7260999223278-2.7260999223278
6911.2640319245127-2.26403192451274
71614.10420073502121.89579926497882
879.33499184282526-2.33499184282526
91411.82715228073842.17284771926156
10610.5412352977326-4.54123529773263
111611.78359433860484.21640566139521
121111.1687745274693-0.168774527469326
131713.05476444831433.9452355516857
141211.0289857624660.971014237533989
15712.1814745185977-5.18147451859771
161310.63425822895912.36574177104088
1797.112352049171931.88764795082807
181513.96896142879761.03103857120238
19710.1525941099555-3.15259410995546
2099.90013390437324-0.90013390437324
2178.487185451487-1.48718545148701
221413.38917735097840.610822649021589
231510.32783207453174.67216792546829
24712.6854237158035-5.68542371580348
251311.78359433860481.21640566139521
261711.78359433860485.21640566139521
271513.13329314726361.86670685273645
28148.712482061671745.28751793832826
291412.51659960090961.48340039909036
30810.9108835627292-2.91088356272921
3188.93261070307999-0.93261070307999
321213.6936535389007-1.69365353890068
331412.62211944588181.37788055411819
34812.1275995592264-4.12759955922639
35119.900133904373241.09986609562676
361611.27937423052234.72062576947768
371112.6189989288615-1.61899892886153
38810.8410583396022-2.84105833960215
391411.85569948013172.1443005198683
40169.716181478044936.28381852195507
411411.33871475869452.66128524130551
42510.7536944202975-5.7536944202975
4388.96082103291806-0.96082103291806
44109.901301586610670.0986984133893328
45811.8876052303304-3.88760523033041
461312.28641259696370.713587403036307
471511.08806178607073.91193821392934
48611.0152563548054-5.01525635480539
49129.966476710129462.03352328987054
501412.39346202452391.60653797547615
51512.3621212917588-7.3621212917588
521512.42536319510192.57463680489814
531111.5372288314828-0.537228831482765
5489.69050055714828-1.69050055714828
551310.96124836962732.03875163037273
561412.42202991758691.57797008241307
57129.993224745185582.00677525481442
581612.66987248043733.33012751956274
59108.671173495429151.32882650457085
601514.31994323435010.680056765649929
6189.81609080467497-1.81609080467497
62169.228165591373676.77183440862633
631913.60260511517395.39739488482611
641411.60027819121762.39972180878242
65712.6459925876339-5.64599258763395
661312.18931151110960.810688488890368
671511.92325653504813.07674346495192
6879.50126855311474-2.50126855311474
691313.133459073886-0.133459073886002
7049.82100019410663-5.82100019410663
711412.05132707615671.94867292384332
721312.9722789218190.0277210781810197
73119.751367572433061.24863242756694
741411.79248498321782.20751501678222
751211.32091646815010.679083531849933
761513.55435721926851.44564278073145
771412.19011729299651.8098827070035
781311.54168583898431.45831416101574
79710.0675813433446-3.06758134334463
8058.1411604031692-3.14116040316921
81712.2227458453488-5.22274584534876
821313.226927598518-0.226927598518041
831311.63447772736731.36552227263266
841112.8216523916316-1.82165239163158
8568.90279942567376-2.90279942567376
861213.2710816084884-1.27108160848839
8789.85999156486385-1.85999156486385
881112.0089229487092-1.00892294870924
891214.8772415282051-2.87724152820512
90910.0908047955611-1.09080479556111
911210.90069459559231.09930540440767
921313.9355932922751-0.935593292275092
931613.37901879912122.62098120087884
941613.58006828658872.41993171341133
951113.3048778430781-2.30487784307809
96810.6345076838134-2.63450768381341
9748.28535579987301-4.28535579987301
9879.92498355217395-2.92498355217395
991411.4931410192292.50685898077098
1001111.3844491686762-0.384449168676231
1011713.23809115578563.76190884421443
1021513.37821301723431.6217869827657
1031413.02783661838670.972163381613345
104512.0188069619026-7.01880696190263
105411.3822437835637-7.38224378356371
1061912.33241375801096.66758624198914
1071110.02980022578640.970199774213568
1081512.54363383965832.4563661603417
109109.608069021223740.391930978776262
110911.2131638692302-2.21316386923022
111129.821000194106632.17899980589337
1121512.70672624653192.29327375346806
113713.2710816084884-6.2710816084884
1141311.56595033066321.43404966933682
1151413.23078755204520.769212447954805
1161412.43567701823171.56432298176834
1171414.0783685935275-0.0783685935275339
118811.1318553155074-3.1318553155074
1191512.3316661265062.66833387349396
1201510.90069459559234.09930540440767
12199.94119022413175-0.94119022413175
1221612.19011729299653.8098827070035
123911.8441650651631-2.84416506516309
1241513.79547143082641.20452856917364
1251512.43567701823172.56432298176834
126611.9314569101492-5.93145691014919
127813.6966836658832-5.69668366588323
1281512.43809436389232.56190563610775
129108.509074963565771.49092503643422
130910.8995196302796-1.89951963027964
1311414.2434212964261-0.243421296426072
1321214.2656521285449-2.26565212854487
133810.5326883096491-2.53268830964911
1341112.0537444218173-1.05374442181727
1351311.35520474727581.6447952527242
136911.1075414137309-2.10754141373087
1371512.85503804158592.14496195841407
138139.612903712544933.38709628745507
1391512.43567701823172.56432298176834
1401412.18931151110961.81068848889037
1411611.50134139433014.49865860566987
1421212.4356770182317-0.435677018231658
143149.657731568684784.34226843131522
1441010.4004201250774-0.400420125077369
145109.840432875233220.159567124766777
146413.2718873903753-9.27188739037526
147811.4963641467765-3.49636414677648
1481713.37974160127473.62025839872528
1491612.20852855012033.79147144987975
1501214.6506609591487-2.6506609591487
1511211.96566066249550.034339337504484
1521513.37821301723431.6217869827657
15399.8173414666457-0.817341466645702
1541313.035935018084-0.0359350180840127
1551412.05374442181731.94625557818273
1561110.08935207938320.910647920616754


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.5928635258377060.8142729483245870.407136474162294
130.6406680914745180.7186638170509630.359331908525482
140.7105972453349960.5788055093300080.289402754665004
150.9036762204767440.1926475590465120.096323779523256
160.8517982622730180.2964034754539630.148201737726982
170.8491009186424010.3017981627151970.150899081357599
180.7868303441467980.4263393117064050.213169655853202
190.8048554731946690.3902890536106620.195144526805331
200.7431484069802970.5137031860394050.256851593019703
210.6723741599764770.6552516800470450.327625840023523
220.5975053898167290.8049892203665420.402494610183271
230.6859312621611560.6281374756776880.314068737838844
240.7849907889160360.4300184221679270.215009211083964
250.7315006096159170.5369987807681660.268499390384083
260.7877059905508290.4245880188983430.212294009449171
270.7398960751606070.5202078496787860.260103924839393
280.8006473786636380.3987052426727250.199352621336362
290.7919321348884270.4161357302231460.208067865111573
300.8021880112657380.3956239774685250.197811988734262
310.7812268435149310.4375463129701380.218773156485069
320.7358232323450430.5283535353099130.264176767654957
330.6852421864920120.6295156270159770.314757813507988
340.6667943872791070.6664112254417870.333205612720893
350.6112308246502450.7775383506995090.388769175349755
360.6143126488239150.771374702352170.385687351176085
370.5599520256444230.8800959487111540.440047974355577
380.5518568869914320.8962862260171350.448143113008568
390.4993074672255070.9986149344510140.500692532774493
400.5481252128191090.9037495743617820.451874787180891
410.604946089438190.7901078211236210.39505391056181
420.702867877321560.5942642453568790.297132122678439
430.6669876106806960.6660247786386080.333012389319304
440.6165094187300250.7669811625399490.383490581269975
450.619263624209690.761472751580620.38073637579031
460.5683079071360870.8633841857278260.431692092863913
470.5477798677359170.9044402645281660.452220132264083
480.5925124603218170.8149750793563650.407487539678183
490.5634866359398660.8730267281202670.436513364060134
500.530962990474740.938074019050520.46903700952526
510.796443564487940.407112871024120.20355643551206
520.7778025680629230.4443948638741540.222197431937077
530.741029584668040.5179408306639210.25897041533196
540.7247849549588920.5504300900822160.275215045041108
550.6874463822112350.625107235577530.312553617788765
560.6466484953546770.7067030092906450.353351504645323
570.6047019912320080.7905960175359840.395298008767992
580.575669249262080.8486615014758410.424330750737921
590.5392603206138650.921479358772270.460739679386135
600.4939260992515790.9878521985031590.50607390074842
610.4681685136655240.9363370273310480.531831486334476
620.6321691450852450.735661709829510.367830854914755
630.671079057505320.6578418849893610.328920942494681
640.6422691197046970.7154617605906070.357730880295303
650.7730456357044560.4539087285910890.226954364295544
660.7363490164346440.5273019671307110.263650983565356
670.7191029828963830.5617940342072340.280897017103617
680.7708820564731770.4582358870536450.229117943526823
690.7351121260912860.5297757478174270.264887873908714
700.8328913377239160.3342173245521680.167108662276084
710.809061223809420.381877552381160.19093877619058
720.7771300062265440.4457399875469120.222869993773456
730.7472534840524690.5054930318950620.252746515947531
740.7223148171264410.5553703657471170.277685182873559
750.6807774381549780.6384451236900440.319222561845022
760.644889729828290.710220540343420.35511027017171
770.6105346237703280.7789307524593450.389465376229672
780.5700523968953270.8598952062093470.429947603104673
790.573576637151910.8528467256961810.42642336284809
800.5856008845811740.8287982308376510.414399115418826
810.6649747706883030.6700504586233940.335025229311697
820.6215942588029560.7568114823940870.378405741197044
830.5808769153407660.8382461693184680.419123084659234
840.5594386707467090.8811226585065810.440561329253291
850.5482145881121290.9035708237757430.451785411887871
860.5073588903433470.9852822193133050.492641109656653
870.4730848010896140.9461696021792280.526915198910386
880.4313917041766950.862783408353390.568608295823305
890.4169397960284940.8338795920569880.583060203971506
900.3775374317851810.7550748635703630.622462568214819
910.3362985434609580.6725970869219160.663701456539042
920.296804533311210.5936090666224210.70319546668879
930.2777229292778890.5554458585557770.722277070722111
940.2530733418673980.5061466837347970.746926658132602
950.2310921355304980.4621842710609950.768907864469502
960.2162973807771430.4325947615542850.783702619222857
970.2461933998544390.4923867997088780.753806600145561
980.2409577984479360.4819155968958730.759042201552064
990.2218996003544490.4437992007088990.77810039964555
1000.1881944933284490.3763889866568990.81180550667155
1010.2022968637959950.4045937275919890.797703136204005
1020.1761057008974650.3522114017949310.823894299102535
1030.1492934919106230.2985869838212460.850706508089377
1040.2624950888324360.5249901776648720.737504911167564
1050.4879830199065530.9759660398131070.512016980093447
1060.6548205679457910.6903588641084180.345179432054209
1070.6070779316806750.785844136638650.392922068319325
1080.5765937206397170.8468125587205670.423406279360283
1090.5265442208775670.9469115582448660.473455779122433
1100.500893102912960.9982137941740810.49910689708704
1110.4569645467907710.9139290935815420.543035453209229
1120.4255889068885910.8511778137771820.574411093111409
1130.5476144464889240.9047711070221520.452385553511076
1140.4995665494852270.9991330989704540.500433450514773
1150.4951110632349610.9902221264699210.504888936765039
1160.4500659574746370.9001319149492740.549934042525363
1170.3943513979191410.7887027958382810.605648602080859
1180.3946350708007260.7892701416014520.605364929199274
1190.3738000094620340.7476000189240670.626199990537966
1200.3910501860872630.7821003721745270.608949813912737
1210.341648432812480.683296865624960.65835156718752
1220.3831052683268810.7662105366537620.616894731673119
1230.385803324499430.7716066489988610.61419667550057
1240.390449873604440.780899747208880.60955012639556
1250.3646369377053250.729273875410650.635363062294675
1260.6590852576510350.681829484697930.340914742348965
1270.8831771791540420.2336456416919170.116822820845958
1280.8708005011339460.2583989977321080.129199498866054
1290.8341268407900530.3317463184198940.165873159209947
1300.8399567786427780.3200864427144440.160043221357222
1310.7896849292267350.420630141546530.210315070773265
1320.7368281601288990.5263436797422020.263171839871101
1330.6734785652028050.653042869594390.326521434797195
1340.5949915733040890.8100168533918220.405008426695911
1350.5730571861036090.8538856277927830.426942813896391
1360.5733838851201820.8532322297596370.426616114879818
1370.549993984872460.9000120302550810.45000601512754
1380.4763029215354230.9526058430708460.523697078464577
1390.4024943055282580.8049886110565160.597505694471742
1400.4515012137288120.9030024274576240.548498786271188
1410.4485251208194440.8970502416388880.551474879180556
1420.3388323029976970.6776646059953940.661167697002303
1430.2467660091771710.4935320183543410.75323399082283
1440.1520090525668610.3040181051337220.847990947433139


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