Multiple Linear Regression - Estimated Regression Equation
Depressionss[t] = + 25.5783010178719 + 1.10353609957969gender[t] + 0.0947908388073275age[t] -0.0219282718441132Connected[t] -0.0154350617985379Separate[t] -0.169063754185506Learning[t] -0.0767025300210166Software[t] -0.736472470929676Happiness[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)25.57830101787192.8689558.915500
gender1.103536099579690.449492.45510.0151980.007599
age0.09479083880732750.1817940.52140.6028230.301412
Connected-0.02192827184411320.068027-0.32230.7476260.373813
Separate-0.01543506179853790.06466-0.23870.8116470.405823
Learning-0.1690637541855060.113548-1.48890.1385540.069277
Software-0.07670253002101660.117138-0.65480.5135710.256786
Happiness-0.7364724709296760.092057-8.000200


Multiple Linear Regression - Regression Statistics
Multiple R0.586341963309279
R-squared0.34379689793738
Adjusted R-squared0.313969484207261
F-TEST (value)11.526205424583
F-TEST (DF numerator)7
F-TEST (DF denominator)154
p-value9.96369653449847e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.62243498956728
Sum Squared Residuals1059.08345227404


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11213.5344438370503-1.53444383705029
21110.10495045766080.895049542339187
31414.5973056327294-0.597305632729366
41214.1328167009041-2.13281670090414
52112.0794564144998.92054358550099
61210.91765336181771.08234663818226
72212.48238161060059.51761838939948
81113.1324884563357-2.13248845633571
91012.5952724789366-2.59527247893656
101312.72339960883010.276600391169896
11109.94674353148180.0532564685182
1289.32669014864539-1.32669014864538
131514.7921146819460.207885318053979
141411.58007586753632.41992413246373
15109.873052583077890.126947416922114
161412.27251914588191.72748085411809
171412.44843701915341.55156298084665
181110.11257412168770.887425878312338
191011.8009388790596-1.80093887905958
201311.84427245002261.1557275499774
2179.13947719919138-2.13947719919138
221415.374416460699-1.37441646069897
231212.4872153256044-0.487215325604394
241414.649178071952-0.649178071951987
25119.722228134867331.27777186513267
26916.2720864993048-7.27208649930481
271111.0444956541349-0.0444956541348613
281513.13898166638131.86101833361871
291412.3537999096951.64620009030503
301314.6657579904029-1.66575799040292
31911.9074230456317-2.90742304563171
321513.85327858166391.14672141833606
331011.4103354112766-1.41033541127661
341112.2701313906567-1.2701313906567
351312.34924070296750.650759297032529
36812.4408060488044-4.44080604880436
372017.2622795519062.73772044809399
381211.5226065029540.477393497046045
391011.1528432388512-1.15284323885118
401012.8327572683284-2.83275726832844
41911.3313908445794-2.3313908445794
421412.12310835290681.87689164709315
4389.5132224349585-1.5132224349585
441414.0021480864365-0.00214808643645746
451115.2118655182838-4.21186551828382
461316.2160070309823-3.21600703098233
47912.4129731580332-3.41297315803317
481112.584131132103-1.58413113210295
491510.71980653452434.28019346547573
501112.9671299629236-1.96712996292362
511011.3138845027674-1.31388450276735
521412.54650230669771.45349769330227
531814.89433698242013.10566301757987
541414.5769928892408-0.576992889240831
551115.2174085459926-4.21740854599262
561213.0798645726142-1.07986457261417
571311.56511358470941.4348864152906
58912.3312870964656-3.33128709646555
591013.6662200731461-3.66622007314609
601514.75212161584660.247878384153408
612017.60829889799522.39170110200485
621212.7877140085702-0.787714008570185
631215.1882771767378-3.18827717673778
641413.80246135552980.197538644470194
651312.55232343906260.447676560937415
661114.5812630896748-3.58126308967476
671714.80629312467852.19370687532146
681213.4514422696852-1.45144226968521
691312.79043986278250.209560137217452
701411.14466701923292.8553329807671
711313.1519823816259-0.151982381625883
721511.99883871185293.00116128814714
731311.65293785983931.34706214016075
741010.6204002269007-0.620400226900694
751112.8886816897291-1.88868168972908
761914.63378755149984.3662124485002
771310.74948994205132.25051005794868
781714.1019709109432.89802908905704
791311.89796655548941.10203344451056
80912.9176877130041-3.91768771300406
811111.298749463527-0.298749463526995
82109.672647926074440.327352073925562
83912.2482031188126-3.24820311881259
841210.50035116718731.49964883281267
851212.890431920369-0.890431920369048
861313.5589200806857-0.558920080685735
871311.61624717853761.38375282146245
881213.0748373188261-1.07483731882611
891514.02468383953660.975316160463362
902218.31985259251063.68014740748945
911311.78476893293331.2152310670667
921513.3772237535721.62277624642804
931312.18646287161840.813537128381562
941513.3584397156471.64156028435305
951014.5627452256902-4.56274522569023
961111.6876485211544-0.687648521154359
971614.36793158148951.63206841851055
981113.4021843894039-2.40218438940387
99119.674170719080941.32582928091906
1001011.9070011425915-1.90700114259148
1011010.5715033631774-0.571503363177402
1021613.51259138075912.48740861924088
1031210.67823060804111.32176939195895
1041114.6358143976846-3.63581439768464
1051612.24310123011743.75689876988257
1061916.03822705713962.9617729428604
1071111.3077522017621-0.307752201762144
1081611.17180894218584.8281910578142
1091515.0074645944626-0.00746459446259088
1102417.11689501179186.88310498820821
1111412.49894050223611.5010594977639
1121515.2849321158672-0.284932115867192
1131113.6328314048456-2.63283140484564
1141512.68734918427392.31265081572607
1151210.8708944245151.12910557548499
1161010.3110557916376-0.311055791637644
1171413.43323360399950.566766396000471
1181313.6052363046458-0.605236304645844
119913.8328777272198-4.83287772721976
1201513.02911667481581.97088332518421
1211515.1801617066747-0.180161706674707
1221413.52920012031240.470799879687609
1231112.8483211198543-1.84832111985435
124812.1302972920911-4.13029729209112
1251112.4770312574565-1.47703125745653
1261113.6404938051795-2.6404938051795
127810.0784439520247-2.07844395202466
1281010.549463221402-0.54946322140198
129119.950357862443861.04964213755614
1301313.0629009127698-0.0629009127697832
1311112.8985420838608-1.89854208386078
1322016.88526011184653.1147398881535
1331012.5401627184834-2.54016271848342
1341512.08630533453132.91369466546871
1351211.42350292211720.576497077882848
1361412.05964138960371.94035861039628
1372315.2128795854587.78712041454196
1381412.36928584742491.63071415257505
1391616.5229099939332-0.522909993933156
1401113.3723642798416-2.37236427984162
1411214.3188127956129-2.31881279561289
1421012.9514757562466-2.95147575624659
1431410.9633124371683.03668756283204
1441212.7260157283114-0.726015728311351
1451211.52517350180990.474826498190097
1461112.910683143458-1.91068314345801
1471211.22224520420130.777754795798725
1481314.5912549554626-1.59125495546255
1491113.5124796183455-2.5124796183455
1501916.56755768403792.43244231596213
1511212.9077617227789-0.907761722778946
1521713.84959305954233.15040694045771
153911.1187495424485-2.11874954244849
1541214.981756426938-2.98175642693797
1551917.64265327466331.35734672533668
1561815.08401678154122.91598321845883
1571513.3772237535721.62277624642804
1581414.1126576867646-0.112657686764552
159119.950357862443861.04964213755614
160914.0865358491444-5.08653584914442
1611815.63213144636452.36786855363555
1621614.66730361576251.33269638423749


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.7855713930983250.4288572138033490.214428606901675
120.6878577895920330.6242844208159350.312142210407967
130.9225829461907870.1548341076184270.0774170538092135
140.885859030461440.2282819390771190.11414096953856
150.8565218566938260.2869562866123470.143478143306174
160.9113350215645790.1773299568708410.0886649784354206
170.9010915046580780.1978169906838440.0989084953419219
180.9200060313182920.1599879373634170.0799939686817084
190.9562714391562660.08745712168746730.0437285608437337
200.95604338488510.08791323022980040.0439566151149002
210.9400199882089840.1199600235820310.0599800117910155
220.9430353519951820.1139292960096360.0569646480048181
230.9434476054152190.1131047891695620.0565523945847809
240.9256871661539570.1486256676920860.0743128338460432
250.9008158700699370.1983682598601260.0991841299300631
260.9799510157242260.04009796855154850.0200489842757743
270.9826683408302910.03466331833941770.0173316591697088
280.9799533186529230.04009336269415390.020046681347077
290.9729548302837820.05409033943243530.0270451697162176
300.9635779072283780.07284418554324410.0364220927716221
310.9710092935411320.05798141291773570.0289907064588679
320.9658752313364540.06824953732709110.0341247686635455
330.9599941207180370.08001175856392560.0400058792819628
340.9484402961951950.1031194076096110.0515597038048053
350.9365555361345010.1268889277309980.0634444638654988
360.9406087287488970.1187825425022050.0593912712511026
370.9539667923136710.09206641537265730.0460332076863287
380.9441824107218260.1116351785563490.0558175892781743
390.9354429280522720.1291141438954570.0645570719477283
400.9319328816055430.1361342367889130.0680671183944565
410.9224296205300060.1551407589399890.0775703794699943
420.9072633474610190.1854733050779620.0927366525389811
430.8864562628012150.2270874743975690.113543737198785
440.8593264485478950.2813471029042110.140673551452105
450.9036277397405390.1927445205189210.0963722602594606
460.901330282913080.197339434173840.0986697170869199
470.9019955172669080.1960089654661850.0980044827330925
480.8853519180954670.2292961638090670.114648081904533
490.9224360572627110.1551278854745790.0775639427372894
500.9103932223265160.1792135553469680.089606777673484
510.8930277709040530.2139444581918940.106972229095947
520.8802468826612950.2395062346774110.119753117338705
530.9077434032037890.1845131935924210.0922565967962106
540.8871063585798220.2257872828403550.112893641420178
550.91089635584870.1782072883025990.0891036441512997
560.8940508090253310.2118983819493380.105949190974669
570.8787703323767590.2424593352464820.121229667623241
580.8937142225091120.2125715549817770.106285777490888
590.9087444252442640.1825111495114710.0912555747557357
600.8880412507590770.2239174984818450.111958749240923
610.8934260326515750.2131479346968490.106573967348425
620.8716412278422580.2567175443154830.128358772157742
630.8789775011034530.2420449977930950.121022498896547
640.8554643939063970.2890712121872060.144535606093603
650.8276675927286380.3446648145427240.172332407271362
660.8509277142812760.2981445714374470.149072285718724
670.8454173925406890.3091652149186220.154582607459311
680.8326680579039770.3346638841920460.167331942096023
690.8088036967410980.3823926065178030.191196303258902
700.8165608440361650.366878311927670.183439155963835
710.7920325607919890.4159348784160220.207967439208011
720.8017921274952460.3964157450095080.198207872504754
730.7768585748882090.4462828502235810.223141425111791
740.7431018523470770.5137962953058460.256898147652923
750.7273874418880710.5452251162238570.272612558111928
760.7879412168449060.4241175663101870.212058783155094
770.782208082024030.4355838359519410.21779191797597
780.788723287096290.422553425807420.21127671290371
790.7612189126743960.4775621746512080.238781087325604
800.8123417339447440.3753165321105120.187658266055256
810.7798458619877030.4403082760245930.220154138012297
820.7436098509502370.5127802980995260.256390149049763
830.7644135499357790.4711729001284420.235586450064221
840.7444521405990850.5110957188018290.255547859400915
850.7150034566205020.5699930867589970.284996543379498
860.6785602980610890.6428794038778230.321439701938912
870.6438220178750830.7123559642498340.356177982124917
880.6061765834388110.7876468331223790.393823416561189
890.5692503135681280.8614993728637450.430749686431872
900.6168745580127930.7662508839744130.383125441987207
910.5843389081611090.8313221836777810.415661091838891
920.5573830434925030.8852339130149930.442616956507497
930.5178312628819670.9643374742360660.482168737118033
940.4897027456325030.9794054912650060.510297254367497
950.5773534497986470.8452931004027050.422646550201353
960.5337494275547270.9325011448905460.466250572445273
970.5035418080108590.9929163839782820.496458191989141
980.4997232606168270.9994465212336550.500276739383173
990.4618632364281170.9237264728562330.538136763571883
1000.4396203069140130.8792406138280260.560379693085987
1010.3934152793136040.7868305586272080.606584720686396
1020.3799048937881720.7598097875763430.620095106211828
1030.3620292534124910.7240585068249830.637970746587509
1040.444756591052270.8895131821045410.55524340894773
1050.5428625967043940.9142748065912120.457137403295606
1060.5415570372891880.9168859254216240.458442962710812
1070.4942848475230710.9885696950461430.505715152476929
1080.627998451800750.7440030963985010.372001548199251
1090.5809665863549540.8380668272900920.419033413645046
1100.8500256300025050.299948739994990.149974369997495
1110.8359520198598410.3280959602803180.164047980140159
1120.8011923966561980.3976152066876030.198807603343802
1130.7853809284623270.4292381430753460.214619071537673
1140.7709309208478110.4581381583043780.229069079152189
1150.7400506027295770.5198987945408460.259949397270423
1160.6953838803920420.6092322392159170.304616119607958
1170.6789675257438230.6420649485123540.321032474256177
1180.6341388742847560.7317222514304880.365861125715244
1190.7392835046871330.5214329906257340.260716495312867
1200.7553092594594590.4893814810810820.244690740540541
1210.7094376594124440.5811246811751120.290562340587556
1220.6600607423651240.6798785152697520.339939257634876
1230.6160075115495580.7679849769008840.383992488450442
1240.6317638722044860.7364722555910270.368236127795514
1250.6001644224304170.7996711551391660.399835577569583
1260.6201276717729310.7597446564541370.379872328227069
1270.5953677727774210.8092644544451590.404632227222579
1280.5616988368819260.8766023262361480.438301163118074
1290.5382418808288410.9235162383423180.461758119171159
1300.4781732473536890.9563464947073790.521826752646311
1310.4586588748443160.9173177496886320.541341125155684
1320.4228148970651720.8456297941303440.577185102934828
1330.3816058589647520.7632117179295040.618394141035248
1340.3465894550316550.693178910063310.653410544968345
1350.2987139551725870.5974279103451740.701286044827413
1360.2588191612101130.5176383224202250.741180838789887
1370.5274441383172050.9451117233655890.472555861682795
1380.5000800388891650.999839922221670.499919961110835
1390.4241936812739220.8483873625478440.575806318726078
1400.4021210659420040.8042421318840090.597878934057996
1410.441139242499890.8822784849997810.55886075750011
1420.4079412582513330.8158825165026660.592058741748667
1430.5044700675193460.9910598649613070.495529932480654
1440.4536628663645260.9073257327290520.546337133635474
1450.4110406294414950.8220812588829910.588959370558505
1460.4402989509943290.8805979019886590.559701049005671
1470.3637628272671190.7275256545342380.636237172732881
1480.3557842761155720.7115685522311430.644215723884428
1490.3270992180330340.6541984360660690.672900781966965
1500.2484951098672740.4969902197345480.751504890132726
1510.4451097867008490.8902195734016990.554890213299151


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level30.0212765957446809OK
10% type I error level110.0780141843971631OK