Multiple Linear Regression - Estimated Regression Equation
Depression[t] = + 14.1672885277797 -0.0177914965161202ParentalCriticism[t] -0.00187772044554277ParentalExpectations[t] -0.0511333152340301ConcernOverMistakes[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)14.16728852777971.194111.864400
ParentalCriticism-0.01779149651612020.116713-0.15240.879040.43952
ParentalExpectations-0.001877720445542770.092288-0.02030.9837930.491897
ConcernOverMistakes-0.05113331523403010.047063-1.08650.2789490.139474


Multiple Linear Regression - Regression Statistics
Multiple R0.099713460840092
R-squared0.00994277427270855
Adjusted R-squared-0.00921962364459383
F-TEST (value)0.51886900144845
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value0.669905215274848
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.15986935243082
Sum Squared Residuals1547.64002028689


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11212.7059360790685-0.705936079068524
21112.7334796316811-1.73347963168115
31413.12376894909800.87623105090204
41213.0857796769827-1.08577967698273
52113.06423273957557.93576726042448
61213.2020823630758-1.20208236307582
72213.05280131213368.9471986878664
81113.1327940974569-2.13279409745689
91013.0998157326078-3.09981573260776
101313.1490713273963-0.149071327396251
111012.7514362329659-2.75143623296593
12812.4253305784689-4.42533057846887
131512.79265238733482.20734761266520
141413.08577967698270.914220323017271
151013.2373019022393-3.23730190223928
161413.45435695222370.545643047776324
171412.91646595521011.08353404478994
181113.2373019022393-2.23730190223928
191012.988160499912-2.98816049991199
201312.35452804627320.645471953726822
21712.6059106229148-5.6059106229148
221412.19925038012551.80074961987446
231212.8359113669179-0.835911366917866
241412.42104657894031.57895342105966
251113.0327686413032-2.03276864130316
26913.1608662087070-4.16086620870696
271113.0097074373192-2.00970743731920
281512.90895507342792.09104492657211
291412.85218859685721.14781140314277
301313.1668628239124-0.166862823912371
31912.8164404990563-3.81644049905633
321512.57049273465122.42950726534879
331012.7150658810945-2.71506588109451
341112.7418825259696-1.74188252596955
351313.1059774525818-0.105977452581839
36812.4073739771841-4.40737397718409
372012.35624066195017.64375933804994
381213.3910653018102-1.39106530181015
391012.2837255140775-2.28372551407748
401012.7418825259696-2.74188252596955
41912.4727084528118-3.47270845281182
421412.85594403774831.14405596225168
43813.0763910747550-5.07639107475501
441413.17902115909190.820978840908137
451112.9835130465147-1.98351304651467
461313.2373019022393-0.237301902239276
47912.9404191717003-3.94041917170026
481112.3562406619501-1.35624066195006
491512.51955776851732.48044223148269
501112.8347605542099-1.8347605542099
511012.7572677434027-2.75726774340268
521413.08202423609160.917975763908357
531812.97975760562365.02024239437642
541413.52238975146760.477610248532409
551112.3346604802114-1.33466048021139
561212.6729577142194-0.672957714219403
571312.87749097515550.122509024844477
58913.1649851034668-4.16498510346683
591013.4693787157880-3.46937871578802
601513.28467977658221.71532022341778
612013.11536605480966.88463394519045
621212.9623295629763-0.96232956297625
631213.0449269764826-1.04492697648265
641413.07174362135770.928256378642306
651313.5463429679578-0.546342967957787
661112.5785654194023-1.5785654194023
671712.41916885849484.58083114150520
681213.0290132004121-1.02901320041207
691313.5815625071212-0.58156250712124
701412.98163532606911.01836467393087
711312.58848258026750.411517419732537
721513.05431557871041.94568442128964
731312.44499979543050.555000204569466
741012.4549169562957-2.45491695629570
751112.7029075459150-1.70290754591501
761912.82635765992156.17364234007851
771313.3713960848485-0.371396084848491
781712.90707735298234.09292264701765
791313.0346463617487-0.0346463617486987
80912.6043963563380-3.60439635633804
811112.7888969464437-1.78889694644371
821013.0839019565372-3.08390195653719
83912.926746569944-3.92674656994401
841212.9366637308092-0.936663730809171
851212.8872430312520-0.887243031252025
861312.93890490512350.0610950948764978
871312.98387650038350.0161234996165435
881213.2410573431304-1.24105734313036
891512.45643122287242.54356877712755
902213.04868241737378.95131758262627
911312.66920227332830.330797726671683
921513.53418463277831.46581536722170
931313.2432985174447-0.243298517444692
941512.90744080685112.09255919314886
951012.9971856482709-2.99718564827092
961112.3292256679749-1.32922566797489
971612.39574420064203.60425579935795
981112.4371254597796-1.43712545977957
991113.0486824173737-2.04868241737373
1001012.8756132547100-2.87561325470998
1011012.7851415055526-2.78514150555262
1021613.27100717482602.72899282517403
1031212.9310305694725-0.931030569472543
1041113.0408080817228-2.04080808172277
1051612.79265238733483.20734761266520
1061912.77934323944736.22065676055266
1071112.9501712277968-1.95017122779676
1081612.73776363120973.26223636879032
1091512.66508337856842.33491662143156
1102413.168740544357910.8312594556421
1111413.35548230877790.644517691222086
1121512.49201421590472.50798578409531
1131112.8808829621778-1.88088296217782
1141512.65945021723182.34054978276818
1151213.4963604654317-1.49636046543172
1161013.2357876356625-3.23578763566252
1171413.02150231862990.9784976813701
1181313.1743737056945-0.174373705694542
119912.7006663716007-3.70066637160068
1201513.05843447347021.94156552652976
1211512.60011235680952.39988764319049
1221413.30434899354390.695651006456116
1231112.8203610447161-1.82036104471608
124813.2822734974992-5.28227349749923
1251113.0561932991559-2.05619329915590
1261112.9703690033959-1.97036900339587
127813.3103456087493-5.3103456087493
1281012.9816353260691-2.98163532606913
1291113.0604772986844-2.06047729868444
1301312.31690222802670.683097771973265
1311112.8222387651616-1.82223876516162
1322013.18429086655976.8157091334403
1331013.1884097613196-3.18840976131958
1341513.26109001396081.73890998603919
1351212.9286242903896-0.928624290389553
1361412.62235295762281.37764704237718
1372313.11760722912399.88239277087612
1381413.06235501913000.93764498087002
1391613.11536605480962.88463394519045
1401112.7885334925749-1.78853349257492
1411212.4562661181038-0.456266118103791
1421012.4272082989144-2.42720829891441
1431412.53919374114751.46080625885249
1441212.9913873821656-0.991387382165628
1451212.8658611986135-0.865861198613479
1461112.5570184819951-1.55701848199510
1471212.3901110393054-0.390111039305418
1481312.99942682258520.00057317741475386
1491113.1664993700436-2.16649937004358
1501912.83815254123226.1618474587678
1511212.963843829553-0.963843829553006
1521712.56318020196924.43681979803083
153912.0602499439173-3.06024994391728
1541212.9093185272967-0.909318527296678
1551912.87577835947866.12422164052136
1561813.16686282391244.83313717608763
1571512.57256880419692.42743119580311
1581412.83627482078671.16372517921335
1591112.2618151228015-1.26181512280149


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.9790797939724740.0418404120550520.020920206027526
80.9549296608970360.09014067820592770.0450703391029639
90.972507902335460.0549841953290820.027492097664541
100.9556058344094790.08878833118104230.0443941655905212
110.934182469734330.1316350605313410.0658175302656706
120.931922624844730.136154750310540.06807737515527
130.9246203739528650.1507592520942710.0753796260471354
140.8875531795985430.2248936408029130.112446820401457
150.9008401838960080.1983196322079840.0991598161039921
160.873587738777130.2528245224457410.126412261222870
170.8299210114723960.3401579770552080.170078988527604
180.8037325641118930.3925348717762140.196267435888107
190.783708851659980.4325822966800390.216291148340019
200.7547940742549410.4904118514901170.245205925745058
210.8462878510822580.3074242978354830.153712148917742
220.838372071676330.3232558566473390.161627928323669
230.8022705351523860.3954589296952290.197729464847614
240.7563348431388850.487330313722230.243665156861115
250.721822570302520.5563548593949610.278177429697481
260.7216366933711440.5567266132577110.278363306628856
270.6945003467135880.6109993065728240.305499653286412
280.674751223442890.6504975531142210.325248776557111
290.63418247001630.73163505996740.3658175299837
300.5758272271101970.8483455457796070.424172772889803
310.6287598546424920.7424802907150170.371240145357508
320.6401756987088580.7196486025822840.359824301291142
330.6222366012883080.7555267974233840.377763398711692
340.5764842080728090.8470315838543820.423515791927191
350.5198237343494050.960352531301190.480176265650595
360.5351877378172660.9296245243654690.464812262182734
370.7894362841168340.4211274317663320.210563715883166
380.7522439317670.4955121364660010.247756068233000
390.7249609539604480.5500780920791040.275039046039552
400.7077777801713980.5844444396572030.292222219828602
410.7008396631112830.5983206737774340.299160336888717
420.6650747378302980.6698505243394040.334925262169702
430.7123417749604610.5753164500790780.287658225039539
440.6760398754512440.6479202490975130.323960124548756
450.642675969990560.714648060018880.35732403000944
460.5942967602065860.8114064795868290.405703239793414
470.6028536835838930.7942926328322150.397146316416107
480.5621875626752060.8756248746495890.437812437324794
490.5489186253918130.9021627492163740.451081374608187
500.5099683985565340.9800632028869320.490031601443466
510.4992305665734590.9984611331469180.500769433426541
520.4591564811255820.9183129622511650.540843518874418
530.5494345953503380.9011308092993240.450565404649662
540.501729577390160.996540845219680.49827042260984
550.4593015944379840.9186031888759690.540698405562016
560.412556120347540.825112240695080.58744387965246
570.366991312581750.73398262516350.63300868741825
580.3908100842733740.7816201685467490.609189915726626
590.3949281035774490.7898562071548980.605071896422551
600.3702893592102430.7405787184204870.629710640789757
610.5583037428573910.8833925142852180.441696257142609
620.5148324199877530.9703351600244940.485167580012247
630.4721826375694480.9443652751388970.527817362430552
640.4294117416035450.8588234832070890.570588258396455
650.3855941323795950.771188264759190.614405867620405
660.3500395449415860.7000790898831720.649960455058414
670.4068068703144810.8136137406289620.593193129685519
680.3664353382511570.7328706765023130.633564661748843
690.3258036231041290.6516072462082580.674196376895871
700.2898561924866880.5797123849733760.710143807513312
710.2526415241185030.5052830482370060.747358475881497
720.2303854441146010.4607708882292020.769614555885399
730.1987410461666700.3974820923333390.80125895383333
740.1836282757261930.3672565514523860.816371724273807
750.1626145433461800.3252290866923610.83738545665382
760.259945255557660.519890511115320.74005474444234
770.2263828566146270.4527657132292530.773617143385373
780.2524752556211520.5049505112423040.747524744378848
790.2169577450874080.4339154901748160.783042254912592
800.2258766206325670.4517532412651340.774123379367433
810.2023535453493370.4047070906986730.797646454650663
820.2012606750362490.4025213500724980.798739324963751
830.2200476014490870.4400952028981740.779952398550913
840.1915629408643520.3831258817287050.808437059135648
850.1640089966674900.3280179933349810.83599100333251
860.1398238338524340.2796476677048690.860176166147566
870.1165062452473960.2330124904947920.883493754752604
880.09874643046931050.1974928609386210.90125356953069
890.09345066045574930.1869013209114990.90654933954425
900.2968544443845000.5937088887690010.7031455556155
910.2588106466191200.5176212932382410.74118935338088
920.2283629056910820.4567258113821630.771637094308918
930.1952901294224650.390580258844930.804709870577535
940.1767511059000710.3535022118001410.82324889409993
950.1725664811270020.3451329622540040.827433518872998
960.1513958896989200.3027917793978410.84860411030108
970.1587895486682790.3175790973365570.841210451331721
980.1378848984433160.2757697968866320.862115101556684
990.1250845556404390.2501691112808780.87491544435956
1000.1227963059637440.2455926119274880.877203694036256
1010.1196132786681930.2392265573363860.880386721331807
1020.1101423528731640.2202847057463280.889857647126836
1030.09548332737075280.1909666547415060.904516672629247
1040.08736904737170620.1747380947434120.912630952628294
1050.08818528160754340.1763705632150870.911814718392457
1060.1490544541847150.2981089083694310.850945545815285
1070.1318561074559390.2637122149118780.868143892544061
1080.1322707587567710.2645415175135420.867729241243229
1090.1192703616852830.2385407233705650.880729638314717
1100.5139407762225050.972118447554990.486059223777495
1110.4642786983545440.9285573967090880.535721301645456
1120.4437947814399840.8875895628799680.556205218560016
1130.404540900429550.80908180085910.59545909957045
1140.3748715956841480.7497431913682950.625128404315852
1150.3360237908026830.6720475816053670.663976209197316
1160.3536207385763630.7072414771527260.646379261423637
1170.3085949776269250.617189955253850.691405022373075
1180.2637486616376910.5274973232753820.736251338362309
1190.2843763682722460.5687527365444920.715623631727754
1200.2573712485125240.5147424970250480.742628751487476
1210.2667716032030280.5335432064060570.733228396796972
1220.2245137493859860.4490274987719720.775486250614014
1230.199418323551730.398836647103460.80058167644827
1240.2594399338084290.5188798676168580.740560066191571
1250.2320073062197260.4640146124394510.767992693780274
1260.229780000969640.459560001939280.77021999903036
1270.3947530002144750.789506000428950.605246999785525
1280.4143038100622880.8286076201245760.585696189937712
1290.441287400471380.882574800942760.55871259952862
1300.423680264142780.847360528285560.57631973585722
1310.3960604950995640.7921209901991270.603939504900436
1320.4926840231745750.985368046349150.507315976825425
1330.6162533809583440.7674932380833130.383746619041656
1340.5598302711387230.8803394577225550.440169728861278
1350.5259807650835430.9480384698329140.474019234916457
1360.4618634411700040.9237268823400070.538136558829996
1370.8204965283597260.3590069432805490.179503471640274
1380.7708882878198280.4582234243603430.229111712180172
1390.7233210321181890.5533579357636230.276678967881811
1400.6845019727673110.6309960544653770.315498027232689
1410.6256435471942460.7487129056115090.374356452805754
1420.5737263883997930.8525472232004130.426273611600207
1430.5035022592240980.9929954815518050.496497740775902
1440.4211052317985790.8422104635971580.578894768201421
1450.4179647157980790.8359294315961570.582035284201921
1460.3296221311192620.6592442622385250.670377868880738
1470.2466021719886480.4932043439772960.753397828011352
1480.1819487456442610.3638974912885210.81805125435574
1490.3248130038252400.6496260076504790.67518699617476
1500.3716275951098020.7432551902196050.628372404890198
1510.3991396920203340.7982793840406680.600860307979666
1520.4743046300711680.9486092601423360.525695369928832


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level10.00684931506849315OK
10% type I error level40.0273972602739726OK