Multiple Linear Regression - Estimated Regression Equation
Schoolprestaties[t] = + 5.94451224803447 + 0.431702468220128Sport[t] + 0.096186434920722Goingout[t] -0.134927436537078Relation[t] + 0.260354564152351Family[t] + 0.312539014805456Coach[t] + 0.00558676759994745t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5.944512248034471.0999745.404200
Sport0.4317024682201280.1719642.51040.0131260.006563
Goingout0.0961864349207220.1427640.67370.5015160.250758
Relation-0.1349274365370780.099817-1.35180.1785040.089252
Family0.2603545641523510.185271.40530.1620230.081011
Coach0.3125390148054560.1366152.28770.023560.01178
t0.005586767599947450.0057430.97290.33220.1661


Multiple Linear Regression - Regression Statistics
Multiple R0.435590747177052
R-squared0.189739299026262
Adjusted R-squared0.157111351336045
F-TEST (value)5.81523854419901
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value1.81317053578045e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.20737979482366
Sum Squared Residuals1532.80548708822


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11410.00163377662033.99836622337973
2811.1388767125367-3.1388767125367
31211.62835039900990.371649600990115
4712.3870676214146-5.38706762141464
51012.5787635846554-2.57876358465543
6911.3795817459199-2.37958174591991
71614.11918543545291.88081456454709
879.24654915931306-2.24654915931306
91411.98158979425122.01841020574883
10610.4909357443566-4.49093574435662
111611.80109696500344.19890303499664
121111.0854192680717-0.0854192680716782
131713.15234932014523.8476506798548
141211.23248967082260.767510329177406
15711.9041294128217-4.90412941282168
161310.96491936116912.03508063883089
1797.107792451916481.89220754808352
181514.04894907723650.951050922763542
19710.4537907608281-3.4537907608281
2099.91966778227973-0.919667782279734
2178.65838514636451-1.65838514636451
221413.45348448377530.546515516224724
231510.27720510103024.72279489896976
24712.5814593683838-5.58145936838377
251311.87931171140261.12068828859737
261711.88489847900265.11510152099742
271513.41608660824081.58391339175924
28148.695468171634095.30453182836591
291412.61503696610421.38496303389584
30810.9351268296402-2.93512682964019
3189.35604419626825-1.35604419626824
321213.5093521597748-1.50935215977475
331412.79367446284311.20632553715694
34812.1212589842499-4.12125898424986
351110.00346929627890.996530703721054
361611.59998913905144.40001086094862
371112.7559175418245-1.75591754182447
38810.9860846446404-2.98608464464037
391412.0550450309631.94495496903705
401610.21124865571895.78875134428107
411411.43192211808172.56807788191829
42511.0794404488305-6.07944044883046
4389.08230839151695-1.08230839151695
441010.0655710476859-0.0655710476859349
45812.0872334983223-4.0872334983223
461312.626266337870.373733662130041
471511.27669784296793.72330215703208
48611.1436959243674-5.14369592436742
491210.00349553405181.99650446594824
501412.82854552062381.17145447937622
51512.5774389737347-7.57743897373474
521512.78065959382742.21934040617261
531111.744523341325-0.744523341324969
5489.9172450108365-1.9172450108365
551311.19922045570481.80077954429519
561412.87651226680961.12348773319044
57129.598489280336942.40151071966306
581612.43995642504673.56004357495329
59108.205841627554531.79415837244547
601514.00655866852390.993441331476054
6189.37524307815744-1.37524307815744
62168.848081701866057.15191829813395
631913.21371251422865.78628748577144
641411.32569878533612.67430121466388
65712.2452724038431-5.24527240384314
661311.81715132012431.18284867987571
671511.48887792098953.51112207901049
6879.55122994061444-2.55122994061444
691312.79976666848570.200233331514294
7049.58119449841614-5.58119449841614
711411.69833687857952.30166312142052
721312.42619080226040.573809197739597
73119.763072291618551.23692770838145
741411.76831758411722.23168241588283
751211.10287228511830.897127714881699
761513.27393299607591.72606700392414
771411.87860576372372.12139423627629
781311.12418706517571.87581293482434
7979.8081175540701-2.8081175540701
8058.32316374715342-3.32316374715342
81711.8441273152991-4.84412731529908
821313.1045112102922-0.104511210292163
831311.3806323500961.61936764990404
841112.4932320134598-1.49323201345977
8569.00441361590928-3.00441361590928
861213.0296691542219-1.02966915422189
87810.005421906714-2.00542190671405
881111.7671315350988-0.76713153509883
891214.7201055180782-2.7201055180782
9099.80582962962916-0.805829629629156
911210.49617380331621.50382619668375
921313.7473690893015-0.747369089301537
931613.22506695376062.77493304623937
941613.20241572021542.79758427978463
951113.0349453868045-2.03494538680446
96810.7822282622965-2.78222826229647
9748.34500167513553-4.34500167513553
9879.69817648420457-2.69817648420457
991411.32687746823722.67312253176284
1001111.0396988653398-0.0396988653397946
1011713.15847534403813.84152465596194
1021513.27534786216021.72465213783984
1031412.89353033196321.1064696680368
104512.062545730818-7.06254573081799
105411.5610199311346-7.56101993113457
1061912.38831588928886.6116841107112
107119.844643827524821.15535617247518
1081512.38370647653492.61629352346509
109109.451035053113480.548964946886522
110911.058373047344-2.05837304734404
111129.810251970013982.18974802998602
1121512.8502833635562.14971663644397
113713.1805118794205-6.18051187942047
1141311.64743661341481.35256338658517
1151413.25048195099640.749518049003554
1161412.38770756299781.61229243700215
1171413.75573025455370.244269745446258
118811.3890573289039-3.38905732890394
1191512.3082814308772.69171856912303
1201510.65819006371474.34180993628528
12199.98428040787879-0.984280407878788
1221612.13001030572133.86998969427866
123912.0787715544969-3.07877155449687
1241513.81485990197771.1851400980223
1251512.43798847139742.56201152860263
126612.1027982230467-6.10279822304665
127813.8037534881961-5.80375348819609
1281512.45474877419722.54525122580278
129108.518517255682591.48148274431741
130910.8815490945808-1.88154909458082
1311414.4032191681202-0.403219168120215
1321214.2242775082358-2.22427750823584
133810.5530301295392-2.55303012953925
1341112.0503032373762-1.05030323737617
1351311.48042445881811.51957554118192
136911.107442570022-2.10744257002195
1371512.92984856213632.07015143786368
138139.613051313511953.38694868648805
1391512.51620321779662.48379678220336
1401412.23057212252041.7694278774796
1411611.84582272109524.1541772789048
1421212.5329635205965-0.53296352059648
1431410.13577681275683.86422318724316
1441010.3960743847885-0.396074384788484
1451010.1768442156666-0.176844215666628
146413.3648752102187-9.36487521021874
147811.5950423130346-3.59504231303464
1481713.47684579117373.52315420882634
1491612.57207089379613.42792910620389
1501214.8219067673247-2.82190676732467
1511211.98434679206490.0156532079351452
1521513.55468624215751.44531375784247
15399.95653992094415-0.956539920944155
1541313.3373626261409-0.337362626140886
1551412.16762535697511.83237464302493
1561110.60127966724610.398720332753864


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.8719442297376880.2561115405246230.128055770262312
110.9039688614430270.1920622771139460.0960311385569732
120.8468079136256540.3063841727486930.153192086374346
130.7787362197787790.4425275604424410.221263780221221
140.6857937600057330.6284124799885340.314206239994267
150.8774081867291470.2451836265417070.122591813270853
160.8585267808397110.2829464383205770.141473219160289
170.8339695408696440.3320609182607110.166030459130356
180.7731393546949470.4537212906101060.226860645305053
190.7647240994297910.4705518011404190.235275900570209
200.7018475989390760.5963048021218480.298152401060924
210.6330874317034370.7338251365931250.366912568296563
220.5582165498261760.8835669003476480.441783450173824
230.6107153247558320.7785693504883370.389284675244168
240.7539764789770120.4920470420459760.246023521022988
250.7006949540101750.5986100919796490.299305045989825
260.7499470326776990.5001059346446020.250052967322301
270.6951286321953920.6097427356092170.304871367804608
280.7262449231377090.5475101537245810.273755076862291
290.6711115326853810.6577769346292390.328888467314619
300.7094391520328180.5811216959343650.290560847967182
310.6756545537141050.6486908925717890.324345446285895
320.6533804576959060.6932390846081880.346619542304094
330.5964710675750350.807057864849930.403528932424965
340.6135991287738070.7728017424523860.386400871226193
350.5557926836658560.8884146326682870.444207316334144
360.5601280002250830.8797439995498350.439871999774917
370.5145181609795820.9709636780408370.485481839020418
380.5284061176942950.9431877646114110.471593882305705
390.4755383001812560.9510766003625120.524461699818744
400.5783234794464760.8433530411070480.421676520553524
410.564249826307220.871500347385560.43575017369278
420.6941632110458180.6116735779083630.305836788954182
430.6611258379706070.6777483240587850.338874162029393
440.6100859353810580.7798281292378840.389914064618942
450.6224342678468890.7551314643062220.377565732153111
460.5739238074994230.8521523850011530.426076192500577
470.5498209222759690.9003581554480610.450179077724031
480.6130708624383580.7738582751232840.386929137561642
490.5758055716893530.8483888566212930.424194428310647
500.552130059614260.895739880771480.44786994038574
510.8000513633314770.3998972733370450.199948636668523
520.7928581411103340.4142837177793330.207141858889666
530.756553287003420.4868934259931610.24344671299658
540.734317923876530.531364152246940.26568207612347
550.7034107057600360.5931785884799280.296589294239964
560.668874159834130.662251680331740.33112584016587
570.6459712509375070.7080574981249860.354028749062493
580.6648529472334020.6702941055331950.335147052766597
590.6280660326040020.7438679347919960.371933967395998
600.5840541500886140.8318916998227710.415945849911386
610.5475696458668660.9048607082662690.452430354133135
620.7159858988511830.5680282022976340.284014101148817
630.7811106755223540.4377786489552920.218889324477646
640.7658618985580550.468276202883890.234138101441945
650.8295143797037940.3409712405924110.170485620296206
660.8011961311328370.3976077377343250.198803868867163
670.8006238144081120.3987523711837750.199376185591888
680.7942051396247240.4115897207505510.205794860375276
690.7600643098811560.4798713802376880.239935690118844
700.8333110622142650.333377875571470.166688937785735
710.816527245526840.3669455089463190.18347275447316
720.7835219109099340.4329561781801330.216478089090066
730.7529925683378790.4940148633242430.247007431662121
740.7310263669946490.5379472660107030.268973633005351
750.6932259365995390.6135481268009230.306774063400461
760.6635957201848240.6728085596303510.336404279815176
770.6418462872466750.716307425506650.358153712753325
780.6212339454922660.7575321090154680.378766054507734
790.6139719884316040.7720560231367920.386028011568396
800.6156302620972530.7687394758054950.384369737902747
810.6688875679493090.6622248641013820.331112432050691
820.625460343043690.749079313912620.37453965695631
830.5929924705300140.8140150589399720.407007529469986
840.5569942759371440.8860114481257120.443005724062856
850.5465145870161010.9069708259677980.453485412983899
860.5035845735092560.9928308529814870.496415426490744
870.4737241925709160.9474483851418320.526275807429084
880.4287519419373460.8575038838746920.571248058062654
890.4096478333894020.8192956667788030.590352166610598
900.3662069738908270.7324139477816530.633793026109173
910.3339514314972580.6679028629945160.666048568502742
920.2930307614998510.5860615229997030.706969238500149
930.2811354415597110.5622708831194210.718864558440289
940.2693208765087380.5386417530174760.730679123491262
950.2413363465780110.4826726931560210.758663653421989
960.2295208188994610.4590416377989220.770479181100539
970.2651720354629370.5303440709258740.734827964537063
980.2564588959173610.5129177918347220.743541104082639
990.2393168436083770.4786336872167530.760683156391623
1000.20266060078280.4053212015655990.7973393992172
1010.2200786575864010.4401573151728020.779921342413599
1020.196310952960330.392621905920660.80368904703967
1030.1709813191688410.3419626383376810.829018680831159
1040.2979585059709550.595917011941910.702041494029045
1050.5343351040099940.9313297919800130.465664895990007
1060.7057841442840970.5884317114318050.294215855715903
1070.6624173747561910.6751652504876180.337582625243809
1080.6396990628035290.7206018743929410.360300937196471
1090.5925386603286370.8149226793427260.407461339671363
1100.5655425736945840.8689148526108320.434457426305416
1110.5231890074802760.9536219850394470.476810992519724
1120.4918589928933490.9837179857866990.508141007106651
1130.6143850415073770.7712299169852450.385614958492623
1140.5668965785722510.8662068428554980.433103421427749
1150.5571238920047360.8857522159905290.442876107995264
1160.5170689199028360.9658621601943280.482931080097164
1170.4603356945387980.9206713890775960.539664305461202
1180.4715546495273360.9431092990546720.528445350472664
1190.4509402468410360.9018804936820720.549059753158964
1200.487172161723850.97434432344770.51282783827615
1210.4310078273479190.8620156546958380.568992172652081
1220.5070307968196960.9859384063606080.492969203180304
1230.466925307459370.933850614918740.53307469254063
1240.5042332196769840.9915335606460320.495766780323016
1250.5364682405571380.9270635188857240.463531759442862
1260.7304760714395390.5390478571209220.269523928560461
1270.9117920674751090.1764158650497820.088207932524891
1280.9062295390908830.1875409218182340.0937704609091172
1290.8809826479372960.2380347041254080.119017352062704
1300.8755122624425870.2489754751148250.124487737557413
1310.8462217445339730.3075565109320550.153778255466027
1320.8027162761216660.3945674477566680.197283723878334
1330.7492870280538550.5014259438922890.250712971946145
1340.6906546644060750.6186906711878490.309345335593925
1350.6605825416411030.6788349167177940.339417458358897
1360.6152685245579150.769462950884170.384731475442085
1370.5952192242934320.8095615514131360.404780775706568
1380.5156080128466990.9687839743066020.484391987153301
1390.4920123703264670.9840247406529350.507987629673533
1400.8283364135631860.3433271728736290.171663586436814
1410.7841967048309950.4316065903380090.215803295169005
1420.7151132041152940.5697735917694110.284886795884706
1430.6801173101422230.6397653797155550.319882689857777
1440.5713282003278570.8573435993442870.428671799672143
1450.4267282010560620.8534564021121250.573271798943938
1460.3886525459222470.7773050918444950.611347454077753


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