Multiple Linear Regression - Estimated Regression Equation
verw/ouders[t] = + 2.40851027893910 + 0.0835274578394345`verw/student`[t] + 0.0488147689783496`begrip/ouders`[t] + 0.05902448979797`begrip/student`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.408510278939100.3124927.707400
`verw/student`0.08352745783943450.0753921.10790.2696170.134808
`begrip/ouders`0.04881476897834960.0773470.63110.5288960.264448
`begrip/student`0.059024489797970.0719750.82010.4134330.206717


Multiple Linear Regression - Regression Statistics
Multiple R0.131423474756780
R-squared0.0172721297171459
Adjusted R-squared-0.00174840970768342
F-TEST (value)0.908077806384337
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value0.438658378154772
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.989373519883344
Sum Squared Residuals151.723294086186


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
122.86456144919041-0.86456144919041
223.12516237642376-1.12516237642376
342.899274138051501.10072586194850
422.79124371217060-0.791243712170603
532.840058481148950.159941518851047
642.874771170010041.12522882998996
732.683404453394280.316595546605716
832.982610428786360.0173895712136420
932.992820149605980.00717985039402151
1022.87477117001004-0.874771170010038
1142.923585938988391.07641406101161
1243.076347607445410.923652392554587
1332.909292691766540.0907073082334561
1432.791243712170600.208756287829396
1542.815555513107491.18444448689251
1642.658901485352821.34109851464718
1732.864561449190420.135438550809582
1832.791243712170600.208756287829396
1932.840058481148950.159941518851047
2043.090449687562680.909550312437322
2123.01732311764744-1.01732311764744
2253.125162376423761.87483762357624
2342.962190987147121.03780901285288
2422.90929269176654-0.909292691766544
2532.874771170010040.125228829989962
2643.007113396827820.992886603172177
2742.874771170010041.12522882998996
2832.850268201968570.149731798031426
2942.766740744129141.23325925587086
3042.874771170010041.12522882998996
3112.89908297094692-1.89908297094692
3243.114952655604140.885047344395858
3352.909483858871122.09051614112888
3423.09064085466726-1.09064085466726
3542.781033991350981.21896600864902
3633.07634760744541-0.0763476074454131
3723.02753283846706-1.02753283846706
3842.683404453394281.31659554660572
3953.135372097243381.86462790275662
4043.017323117647440.982676882352557
4142.791243712170601.20875628782940
4242.825956401031691.17404359896831
4332.791243712170600.208756287829396
4442.968508348669091.03149165133091
4522.81574668021207-0.815746680212068
4622.70771625433117-0.707716254331169
4743.006922229723240.993077770276757
4823.21889955508282-1.21889955508282
4942.791243712170601.20875628782940
5043.017323117647440.982676882352557
5112.90948385887112-1.90948385887112
5242.909292691766541.09070730823346
5322.79124371217060-0.791243712170604
5412.68340445339428-1.68340445339428
5543.163767424582490.836232575417508
5632.992820149605980.00717985039402151
5722.95829862784947-0.958298627849473
5842.850268201968571.14973179803143
5932.825956401031690.174043598968311
6022.78103399135098-0.781033991350983
6122.68340445339428-0.683404453394284
6232.825956401031690.174043598968311
6322.73221922237263-0.732219222372634
6412.92358593898839-1.92358593898839
6532.732219222372630.267780777627366
6623.07634760744541-1.07634760744541
6732.909292691766540.0907073082334561
6833.19848011344358-0.198480113443577
6932.599876995554850.400123004445150
7022.93379565980801-0.933795659808008
7132.791243712170600.208756287829396
7222.79124371217060-0.791243712170604
7342.933795659808011.06620434019199
7443.017323117647440.982676882352557
7543.027532838467060.972467161532936
7622.79124371217060-0.791243712170604
7732.815746680212070.184253319787932
7842.958298627849471.04170137215053
7932.791243712170600.208756287829396
8042.860477922788191.13952207721181
8122.9969036760082-0.996903676008202
8232.791243712170600.208756287829396
8333.00711339682782-0.00711339682782257
8442.732219222372631.26778077762737
8522.94400538062763-0.94400538062763
8642.958298627849471.04170137215053
8722.87477117001004-0.874771170010038
8822.59987699555485-0.59987699555485
8942.992820149605981.00717985039402
9032.742428943192250.257571056807746
9142.909292691766541.09070730823346
9222.59987699555485-0.59987699555485
9322.87477117001004-0.874771170010038
9432.909292691766540.0907073082334561
9532.982610428786360.0173895712136420
9653.257504603241551.74249539675845
9722.94400538062763-0.94400538062763
9833.09044968756268-0.0904496875626777
9922.76674074412914-0.766740744129139
10022.82576523392711-0.82576523392711
10132.850268201968570.149731798031426
10222.76674074412914-0.766740744129139
10322.87477117001004-0.874771170010038
10422.89908297094692-0.899082970946924
10532.791243712170600.208756287829396
10652.864370282085842.13562971791416
10722.88887325012730-0.888873250127303
10832.909292691766540.0907073082334561
10932.707716254331170.292283745668831
11012.90929269176654-1.90929269176654
11112.86047792278819-1.86047792278819
11232.99690367600820.00309632399179798
11343.00302987042560.9969701295744
11452.88887325012732.11112674987270
11533.05203580650853-0.052035806508528
11632.825765233927110.174234766072891
11732.683404453394280.316595546605716
11822.83597495474673-0.83597495474673
11932.947897739925270.0521022600747269
12022.86437028208584-0.864370282085839
12132.717925975150790.282074024849210
12222.80145343299022-0.801453432990224
12342.791243712170601.20875628782940
12422.74242894319225-0.742428943192254
12522.99282014960598-0.992820149605979
12642.909292691766541.09070730823346
12742.766740744129141.23325925587086
12832.850268201968570.149731798031426
12932.850268201968570.149731798031426
13033.09044968756268-0.0904496875626777
13142.947897739925271.05210226007473
13222.86047792278819-0.860477922788194
13312.86047792278819-1.86047792278819
13432.658901485352820.34109851464718
13523.00692222972324-1.00692222972324
13632.791243712170600.208756287829396
13722.95810746074489-0.958107460744894
13822.88498089082966-0.884980890829659
13932.766740744129140.233259255870861
14022.82595640103169-0.825956401031689
14143.055928165806170.944071834193828
14243.065946719521210.934053280478787
14323.09064085466726-1.09064085466726
14422.87458000290546-0.87458000290546
14532.850268201968570.149731798031426
14643.041634918584330.958365081415672
14723.04163491858433-1.04163491858433
14822.86456144919042-0.864561449190418
14933.00692222972324-0.00692222972324315
15023.00692222972324-1.00692222972324
15113.03142519776471-2.03142519776471
15222.9969036760082-0.996903676008202
15313.13945562364561-2.13945562364561
15422.93768801910565-0.937688019105653
15532.840058481148950.159941518851047
15622.89908297094692-0.899082970946924
15723.11495265560414-1.11495265560414
15822.94789773992527-0.947897739925273
15943.017323117647440.982676882352557


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.6299942522034630.7400114955930740.370005747796537
80.5232663415238340.9534673169523320.476733658476166
90.3828479342312290.7656958684624580.617152065768771
100.4044211515603450.808842303120690.595578848439655
110.4783889088154990.9567778176309980.521611091184501
120.4413311059733310.8826622119466610.55866889402667
130.3534223070129120.7068446140258230.646577692987088
140.2676733939179140.5353467878358280.732326606082086
150.3554554558746410.7109109117492820.64454454412536
160.3227545265528580.6455090531057160.677245473447142
170.2482619876091890.4965239752183780.751738012390811
180.1875296089638120.3750592179276240.812470391036188
190.1360781916862080.2721563833724150.863921808313792
200.1409476577092260.2818953154184530.859052342290774
210.1509118774876970.3018237549753950.849088122512303
220.300042205277160.600084410554320.69995779472284
230.2709568709827060.5419137419654120.729043129017294
240.3027215143234000.6054430286468010.6972784856766
250.2447586208423550.489517241684710.755241379157645
260.2243797822206630.4487595644413270.775620217779337
270.2228039828720650.445607965744130.777196017127935
280.1768340995572220.3536681991144440.823165900442778
290.1793748154060760.3587496308121510.820625184593924
300.1756733992559110.3513467985118230.824326600744089
310.3947370920763020.7894741841526040.605262907923698
320.3599304415677160.7198608831354320.640069558432284
330.4817694336205480.9635388672410960.518230566379452
340.5599564633403950.880087073319210.440043536659605
350.553439871093460.893120257813080.44656012890654
360.4994045340674370.9988090681348730.500595465932563
370.5104879200035360.9790241599929280.489512079996464
380.5068083336407860.9863833327184270.493191666359214
390.6481516284939440.7036967430121110.351848371506056
400.6300061825252320.7399876349495360.369993817474768
410.6258040904939920.7483918190120170.374195909506008
420.617136452701530.7657270945969390.382863547298470
430.5713983891086660.8572032217826690.428601610891334
440.5550717467851770.8898565064296450.444928253214823
450.5828585429179170.8342829141641660.417141457082083
460.5836053459313520.8327893081372960.416394654068648
470.5735613373109240.8528773253781520.426438662689076
480.6193117592276560.7613764815446890.380688240772344
490.6223422795594940.7553154408810130.377657720440506
500.6124394334029510.7751211331940990.387560566597049
510.7622582454444820.4754835091110360.237741754555518
520.7567030221490040.4865939557019920.243296977850996
530.7610723854232060.4778552291535880.238927614576794
540.8391333053424060.3217333893151880.160866694657594
550.8241995793040880.3516008413918240.175800420695912
560.7931681554731950.4136636890536100.206831844526805
570.7934536400388130.4130927199223740.206546359961187
580.7959593905624550.408081218875090.204040609437545
590.7621579233871390.4756841532257210.237842076612861
600.760503128669680.4789937426606410.239496871330320
610.7416305676925220.5167388646149550.258369432307478
620.7038697424843210.5922605150313580.296130257515679
630.6889982558729810.6220034882540370.311001744127019
640.8043739729820330.3912520540359350.195626027017968
650.7729552100248240.4540895799503520.227044789975176
660.7840734121952440.4318531756095120.215926587804756
670.7507709813264480.4984580373471040.249229018673552
680.7152078280469310.5695843439061380.284792171953069
690.680680665691970.638638668616060.31931933430803
700.6801105985676110.6397788028647770.319889401432389
710.6399256450800360.7201487098399280.360074354919964
720.628369621154160.743260757691680.37163037884584
730.6334464982989310.7331070034021370.366553501701069
740.6362945333936680.7274109332126640.363705466606332
750.6402330371501970.7195339256996070.359766962849803
760.628013138553060.743973722893880.37198686144694
770.58682504857560.8263499028488010.413174951424401
780.6041033550143470.7917932899713060.395896644985653
790.5621670386058380.8756659227883250.437832961394162
800.5772708587164020.8454582825671960.422729141283598
810.5702453665946950.859509266810610.429754633405305
820.5278519308572290.9442961382855410.472148069142771
830.4832812724232960.9665625448465910.516718727576704
840.522349141678750.95530171664250.47765085832125
850.5206850643314960.9586298713370070.479314935668504
860.5491061257466620.9017877485066760.450893874253338
870.5327353507779870.9345292984440250.467264649222013
880.5016945895200790.9966108209598430.498305410479921
890.5133794197435060.9732411605129870.486620580256494
900.4757386677889560.9514773355779120.524261332211044
910.4907996052713870.9815992105427750.509200394728613
920.4592940005440180.9185880010880370.540705999455982
930.4412268115292340.8824536230584670.558773188470767
940.4014473164117090.8028946328234180.598552683588291
950.3603573422093090.7207146844186170.639642657790691
960.5260362642571110.9479274714857780.473963735742889
970.5108749300101750.978250139979650.489125069989825
980.4747615323251330.9495230646502660.525238467674867
990.4648497279603110.9296994559206220.535150272039689
1000.4566648275561960.9133296551123930.543335172443804
1010.4133747888556500.8267495777113010.58662521114435
1020.40161804922670.80323609845340.5983819507733
1030.3816116248340170.7632232496680350.618388375165983
1040.3731231887405560.7462463774811130.626876811259444
1050.3302059643873320.6604119287746650.669794035612668
1060.4850377269343320.9700754538686630.514962273065668
1070.4794471311571620.9588942623143240.520552868842838
1080.4365965748630020.8731931497260030.563403425136998
1090.3897319065835420.7794638131670840.610268093416458
1100.5028550927350440.9942898145299130.497144907264956
1110.6097653612608190.7804692774783610.390234638739181
1120.5699914230220480.8600171539559040.430008576977952
1130.6200402740924260.7599194518151480.379959725907574
1140.80373370195080.3925325960984010.196266298049201
1150.7855078540329950.4289842919340090.214492145967005
1160.746205870691460.5075882586170790.253794129308540
1170.708285665753940.5834286684921210.291714334246060
1180.696016397068640.607967205862720.30398360293136
1190.6532912154336930.6934175691326130.346708784566307
1200.6491166179494120.7017667641011760.350883382050588
1210.5989875395248420.8020249209503160.401012460475158
1220.5715852315013710.8568295369972570.428414768498629
1230.6247444847737310.7505110304525370.375255515226269
1240.5908535196993690.8182929606012620.409146480300631
1250.5641278663568870.8717442672862270.435872133643113
1260.602969810524920.7940603789501610.397030189475081
1270.6462406294938620.7075187410122760.353759370506138
1280.6003925867277660.7992148265444690.399607413272234
1290.5540713922782270.8918572154435460.445928607721773
1300.5076129878358730.9847740243282530.492387012164127
1310.5848473047093830.8303053905812330.415152695290617
1320.5482326228339120.9035347543321760.451767377166088
1330.7208544743480630.5582910513038740.279145525651937
1340.669160099569920.6616798008601610.330839900430080
1350.6391892887870350.721621422425930.360810711212965
1360.5972581121055210.8054837757889580.402741887894479
1370.5767910690387880.8464178619224240.423208930961212
1380.5683329647065940.8633340705868110.431667035293406
1390.4998110006339380.9996220012678770.500188999366062
1400.4847441924922540.9694883849845090.515255807507746
1410.7514445107094440.4971109785811130.248555489290556
1420.8404081377738810.3191837244522370.159591862226119
1430.796729983310160.4065400333796810.203270016689840
1440.8020416576200820.3959166847598360.197958342379918
1450.7492242556682910.5015514886634180.250775744331709
1460.832762912172070.3344741756558600.167237087827930
1470.8090558106508940.3818883786982120.190944189349106
1480.7616720826902420.4766558346195170.238327917309758
1490.7986300290161450.4027399419677100.201369970983855
1500.7056230777412660.5887538445174680.294376922258734
1510.694990427693930.6100191446121410.305009572306070
1520.5313709579576780.9372580840846450.468629042042322


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