Multiple Linear Regression - Estimated Regression Equation
Sport[t] = + 0.860807153968655 + 0.0940010147694601Schoolprestaties[t] + 0.351194714202645Goingout[t] + 0.0700472772259891Relation[t] + 0.155068476245874Family[t] + 0.120399608960879Coach[t] -0.000713750470618953t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.8608071539686550.556891.54570.1242890.062144
Schoolprestaties0.09400101476946010.0374442.51040.0131260.006563
Goingout0.3511947142026450.0601975.834100
Relation0.07004727722598910.046511.50610.1341640.067082
Family0.1550684762458740.0860921.80120.0736930.036847
Coach0.1203996089608790.0641041.87820.0623110.031155
t-0.0007137504706189530.002688-0.26560.7909320.395466


Multiple Linear Regression - Regression Statistics
Multiple R0.618545960031752
R-squared0.382599104671602
Adjusted R-squared0.357737323651667
F-TEST (value)15.3890465194273
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value1.10134124042816e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.49666428136881
Sum Squared Residuals333.760591697657


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
134.39664156181751-1.39664156181751
255.04483460804184-0.0448346080418442
365.385456049364070.614543950635927
465.937018933206480.062981066793519
576.575182293016790.424817706983209
633.98200509472-0.982005094719995
788.4051020732323-0.405102073232306
843.468819280814010.531180719185988
975.730632946751051.26936705324895
1045.33009481178009-1.33009481178009
1166.53723259491553-0.537232594915531
1265.474519838473210.525480161526791
1377.11708389635717-0.117083896357173
1445.59846028120122-1.59846028120122
1564.768210500729361.23178949927064
1654.929246250281970.0707537497180289
1703.08810268216405-3.08810268216405
1897.732618687381431.26738131261857
1944.01190419605071-0.0119041960507081
2044.47938158402297-0.479381584022966
2124.62617705376618-2.62617705376618
2277.27888860475695-0.278888604756947
2355.4971572799415-0.497157279941499
2496.04449812361482.9555018763852
2566.24523704401849-0.245237044018486
2666.62052735262571-0.620527352625707
2775.233411851859051.76658814814095
2833.8314039378112-0.831403937811197
2965.564904679346890.43509532065311
3064.729437778749961.27056222125004
3144.13673009615494-0.136730096154939
3277.08374907051184-0.0837490705118377
3376.679043417455740.320956582544264
3475.148783096368821.85121690363118
3544.6566773565026-0.656677356502602
3656.06347797443643-1.06347797443643
3765.62838634547620.371613654523797
3855.06924313741775-0.0692431374177516
3963.871840880853462.12815911914654
4065.134472381536620.865527618463385
4165.074741237855950.925258762144053
4235.22325789463081-2.22325789463081
4333.67225423179388-0.672254231793883
4433.92486876439097-0.924868764390969
4566.11215167496145-0.112151674961451
4675.955738527001431.04426147299857
4754.556846847679580.443153152320422
4854.248399131835940.751600868164056
4954.260755299568580.739244700431419
5065.901110633666540.0988893663334626
5164.431091383698771.56890861630123
5266.87988278224431-0.879882782244314
5354.99030353853690.00969646146309786
5443.658723624847170.34127637515283
5575.868305054787181.13169494521282
5655.82181104450293-0.82181104450293
5734.3837811467158-1.3837811467158
5867.17903358321203-1.17903358321203
5923.15212617716751-1.15212617716751
6087.801677960356520.198322039643483
6134.36179615172803-1.36179615172803
6204.3846172510908-4.3846172510908
6366.48223656035667-0.48223656035667
6484.425024497779713.57497550222029
6543.682554052844570.317445947155432
6655.16902681195778-0.169026811957776
6766.16246233586965-0.162462335869652
6852.863699378623562.13630062137644
6965.863595637181310.136404362818694
7023.61681492067217-1.61681492067217
7165.960890174706730.0391098252932677
7255.99657913110752-0.996579131107523
7353.20909251735861.7909074826414
7464.899485428917041.10051457108296
7545.41315907731279-1.41315907731279
7664.68578599392431.3142140060757
7755.25517657155043-0.255176571550428
7854.989709865614580.0102901343854201
7943.981426890806070.0185731091939333
8022.66713234343721-0.667132343437214
8175.301424918384231.69857508161577
8255.67387410755638-0.673874107556383
8364.453545297479261.54645470252074
8455.80001209592118-0.800012095921176
8533.33387507352809-0.333875073528088
8665.687413587185330.312586412814665
8743.28397514511410.716024854885901
8856.21602167208264-1.21602167208264
8976.587403220389630.412596779610372
9043.606630013713470.393369986286531
9164.722067048457211.27793295154279
9287.245320553325050.754679446674952
9377.17541513296016-0.175415132960164
9466.8391901327368-0.839190132736795
9575.66271544717621.3372845528238
9644.67665089591921-0.676650895919207
9704.51504472716262-4.51504472716262
9832.977660395259770.0223396047402326
9955.58971044732676-0.589710447326756
10064.792673696944631.20732630305537
10156.07098577497746-1.07098577497746
10277.07499036395513-0.0749903639551337
10365.582134421747080.417865578252923
10485.102685979790972.89731402020903
10573.801265943222473.19873405677753
10687.422451844020610.577548155979388
10733.69843541430468-0.698435414304683
10884.623703565252713.37629643474729
10933.81314873027195-0.813148730271952
11044.48614964696595-0.486149646965949
11124.33955926953247-2.33955926953247
11275.311879288235721.68812071176428
11365.198137250631320.801862749368677
11424.63211881717363-2.63211881717363
11576.189518560173060.810481439826944
11666.27428676596162-0.274286765961621
11764.809709322207121.19029067779288
11864.063275101671281.93672489832872
11966.01495181511658-0.0149518151165788
12064.983371329117641.01662867088236
12144.39160932204056-0.391609322040556
12255.41105982991149-0.411059829911495
12375.459449428157151.54055057184285
12466.21776219881695-0.217762198816947
12566.36186402649551-0.36186402649551
12655.05923028438612-0.0592302843861213
12784.988681290222953.01131870977705
12866.35972277508365-0.359722775083654
12904.2491052278033-4.2491052278033
13043.418290494945630.581709505054366
13187.657000662173110.342999337826889
13266.0157798924195-0.0157798924194996
13345.18950631551112-1.18950631551112
13465.633920850749360.366079149250642
13525.39524611469182-3.39524611469182
13644.11639742052721-0.116397420527211
13764.528236500681571.47176349931843
13834.07445301093238-1.07445301093238
13966.35187151990685-0.351871519906845
14055.21021029190143-0.210210291901434
14145.53262331630781-1.53262331630781
14266.06772722418661-0.067727224186608
14313.803290183679-2.803290183679
14444.71567264567744-0.715672645677442
14544.2163224040536-0.216322404053596
14664.892580440792521.10741955920748
14754.991444336120290.00855566387971428
14895.128670938399613.87132906160039
14966.43873502997012-0.438735029970116
15087.575836982653310.424163017346691
15175.271235952344471.72876404765553
15277.03930284042419-0.0393028404241861
15305.86023723353992-5.86023723353992
15464.4485003221031.551499677897
15565.900935135174740.0990648648252597
15654.090382984442890.909617015557108


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.02138174504856410.04276349009712830.978618254951436
110.004541181994242060.009082363988484120.995458818005758
120.006592910662958760.01318582132591750.993407089337041
130.002806286630737450.005612573261474910.997193713369263
140.01482900482877130.02965800965754250.985170995171229
150.007325858809754560.01465171761950910.992674141190245
160.003160718243466770.006321436486933540.996839281756533
170.03086380856069370.06172761712138730.969136191439306
180.02126111566157770.04252223132315540.978738884338422
190.0110919199011030.02218383980220590.988908080098897
200.006145269488600050.01229053897720010.9938547305114
210.01678616973500210.03357233947000420.983213830264998
220.009349297728916750.01869859545783350.990650702271083
230.006629670439290030.01325934087858010.99337032956071
240.01324367434000220.02648734868000440.986756325659998
250.007789473712463010.0155789474249260.992210526287537
260.004430940369052750.008861880738105490.995569059630947
270.008247461824740740.01649492364948150.991752538175259
280.004936430732966710.009872861465933420.995063569267033
290.003506626780566850.007013253561133710.996493373219433
300.003788835295372870.007577670590745750.996211164704627
310.002255176780232970.004510353560465940.997744823219767
320.001622124530737980.003244249061475970.998377875469262
330.000952881367468540.001905762734937080.999047118632531
340.0006179724240262990.00123594484805260.999382027575974
350.0003533707223471470.0007067414446942940.999646629277653
360.0002707132128965950.000541426425793190.999729286787103
370.0002982536834529590.0005965073669059190.999701746316547
380.000160878518440340.0003217570368806790.99983912148156
390.00209186545094460.00418373090188920.997908134549055
400.00137248684620130.00274497369240260.998627513153799
410.0008835602543176090.001767120508635220.999116439745682
420.001129340368553950.002258680737107910.998870659631446
430.0007169962947534860.001433992589506970.999283003705246
440.0008072668091868090.001614533618373620.999192733190813
450.0005364492344049380.001072898468809880.999463550765595
460.000369195079835210.0007383901596704210.999630804920165
470.0004393496520979060.0008786993041958110.999560650347902
480.0002765873498565430.0005531746997130850.999723412650143
490.0001700682340628920.0003401364681257850.999829931765937
500.0001904181678664320.0003808363357328650.999809581832134
510.0003692752941080940.0007385505882161870.999630724705892
520.0003271607479350430.0006543214958700860.999672839252065
530.0002701056724544880.0005402113449089750.999729894327546
540.0001898192500639060.0003796385001278120.999810180749936
550.000152368271735410.000304736543470820.999847631728265
560.0002376243797905140.0004752487595810290.99976237562021
570.0002178514520849230.0004357029041698470.999782148547915
580.0001681601338986970.0003363202677973940.999831839866101
590.0001283960300305710.0002567920600611410.999871603969969
607.65765684158924e-050.0001531531368317850.999923423431584
619.16492814734758e-050.0001832985629469520.999908350718527
620.003395163483277170.006790326966554340.996604836516723
630.002734650017710380.005469300035420770.99726534998229
640.05055111445278460.1011022289055690.949448885547215
650.03932974827884090.07865949655768180.960670251721159
660.03104034443753320.06208068887506650.968959655562467
670.02353623390529160.04707246781058320.976463766094708
680.03311036189490560.06622072378981130.966889638105094
690.02560812646908920.05121625293817850.974391873530911
700.02729021288643130.05458042577286270.972709787113569
710.02050712737081510.04101425474163020.979492872629185
720.01843143859407030.03686287718814060.98156856140593
730.0268906858399210.0537813716798420.973109314160079
740.02528443307335240.05056886614670470.974715566926648
750.02596145553690220.05192291107380440.974038544463098
760.02381134488221220.04762268976442450.976188655117788
770.01882224941794190.03764449883588390.981177750582058
780.01420034547649520.02840069095299050.985799654523505
790.0105362708215430.02107254164308590.989463729178457
800.008472429165766590.01694485833153320.991527570834233
810.008173188446943250.01634637689388650.991826811553057
820.006858684914780220.01371736982956040.99314131508522
830.007037514200751530.01407502840150310.992962485799249
840.00606036210470650.0121207242094130.993939637895293
850.004495812671592520.008991625343185040.995504187328408
860.00320895646306640.006417912926132790.996791043536934
870.002401203143218850.00480240628643770.997598796856781
880.002281014728734640.004562029457469280.997718985271265
890.0015990147747310.003198029549462010.998400985225269
900.001098532291342020.002197064582684030.998901467708658
910.0009214431810244810.001842886362048960.999078556818976
920.0006406083512631780.001281216702526360.999359391648737
930.0004301126678782290.0008602253357564580.999569887332122
940.0003638633521521250.0007277267043042490.999636136647848
950.0003196723097946310.0006393446195892620.999680327690205
960.0002441062379225040.0004882124758450080.999755893762078
970.008420789087542160.01684157817508430.991579210912458
980.006082992455953270.01216598491190650.993917007544047
990.004886557640394720.009773115280789450.995113442359605
1000.004458161141311360.008916322282622720.995541838858689
1010.003923185940642870.007846371881285730.996076814059357
1020.00291194361448740.005823887228974810.997088056385513
1030.001994818171516540.003989636343033080.998005181828483
1040.004316648105929090.008633296211858170.995683351894071
1050.01068764327855590.02137528655711180.989312356721444
1060.008062010953517690.01612402190703540.991937989046482
1070.006208943026220960.01241788605244190.993791056973779
1080.01775992895903910.03551985791807820.982240071040961
1090.01420557207150320.02841114414300630.985794427928497
1100.0107915441486510.02158308829730210.989208455851349
1110.0201978648169170.04039572963383390.979802135183083
1120.01812464012408670.03624928024817340.981875359875913
1130.01485214221920280.02970428443840560.985147857780797
1140.0323072837630260.06461456752605210.967692716236974
1150.04978368671558540.09956737343117080.950216313284415
1160.03808425778227490.07616851556454980.961915742217725
1170.03000117068955040.06000234137910080.96999882931045
1180.0293116617835790.05862332356715810.970688338216421
1190.02138820530132660.04277641060265310.978611794698673
1200.02405190080796880.04810380161593770.975948099192031
1210.01804773159945210.03609546319890420.981952268400548
1220.01435941104932120.02871882209864240.985640588950679
1230.02685817454368370.05371634908736750.973141825456316
1240.02621112443735230.05242224887470470.973788875562648
1250.02030797159943990.04061594319887980.97969202840056
1260.01491109217752770.02982218435505550.985088907822472
1270.01594763526975190.03189527053950370.984052364730248
1280.01196088916941080.02392177833882170.988039110830589
1290.07083094890707720.1416618978141540.929169051092923
1300.05361727970169410.1072345594033880.946382720298306
1310.04570740265934450.09141480531868910.954292597340655
1320.03664030554562460.07328061109124910.963359694454375
1330.02611009652346960.05222019304693930.97388990347653
1340.02258034268722910.04516068537445810.977419657312771
1350.02816226248585670.05632452497171340.971837737514143
1360.02052659646327450.04105319292654910.979473403536726
1370.02772477084317690.05544954168635390.972275229156823
1380.01845153976627990.03690307953255990.98154846023372
1390.01254351624602360.02508703249204730.987456483753976
1400.06997880263516790.1399576052703360.930021197364832
1410.1522277963636250.3044555927272490.847772203636375
1420.1104333481543240.2208666963086490.889566651845676
1430.2754845508439260.5509691016878530.724515449156074
1440.221904762112880.4438095242257590.77809523788712
1450.140109520137640.280219040275280.85989047986236
1460.8056127769608970.3887744460782070.194387223039103


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level580.423357664233577NOK
5% type I error level1060.773722627737226NOK
10% type I error level1270.927007299270073NOK