Multiple Linear Regression - Estimated Regression Equation
depression[t] = + 25.7053808259285 -0.032400412503554connected[t] -0.0572463805845197separate[t] -0.240771499295298learning[t] -0.0219056272594492software[t] -0.205751622268116belonging[t] + 0.201504996803279`belonging_final\r\r`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)25.70538082592853.3650357.63900
connected-0.0324004125035540.076932-0.42120.6742230.337111
separate-0.05724638058451970.071532-0.80030.4247680.212384
learning-0.2407714992952980.12814-1.8790.0621250.031062
software-0.02190562725944920.131424-0.16670.867840.43392
belonging-0.2057516222681160.069607-2.95590.0036050.001803
`belonging_final\r\r`0.2015049968032790.1018911.97760.0497420.024871


Multiple Linear Regression - Regression Statistics
Multiple R0.382456737564587
R-squared0.146273156108547
Adjusted R-squared0.113225665377265
F-TEST (value)4.42615015154806
F-TEST (DF numerator)6
F-TEST (DF denominator)155
p-value0.000368187229362937
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.98153266129728
Sum Squared Residuals1377.87823660928


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11214.3520283506136-2.35202835061359
21111.0986899929158-0.0986899929157827
31412.71010503090331.28989496909667
41213.5451774030137-1.54517740301365
52112.46218313524748.53781686475259
61212.9842439007607-0.984243900760713
72214.38044982795697.61955017204312
81112.0382608906146-1.03826089061456
91012.7437789464018-2.74377894640175
101312.42180840547640.578191594523639
111012.2474937755336-2.24749377553356
12814.0164548121186-6.01645481211865
131513.0331814882711.96681851172898
141413.71217367952940.287826320470643
151010.8757249280199-0.875724928019855
161414.2255828433501-0.225582843350055
171412.51280622111081.48719377888921
18119.995632243345181.00436775665482
191012.7851544326838-2.78515443268383
201314.2478093469074-1.24780934690739
21713.3682289771857-6.36822897718567
221413.68622826947240.313771730527578
231212.9460479271246-0.946047927124565
241414.1142448666288-0.114244866628829
251111.1032347449427-0.103234744942663
26911.1777961604901-2.17779616049006
271111.4915339641873-0.491533964187264
281513.26915778346651.73084221653352
291411.65092345741842.34907654258161
301314.2056401461703-1.20564014617033
31912.6372444273203-3.63724442732028
321515.4732597920387-0.47325979203866
331013.198420183953-3.19842018395296
341111.9685727601976-0.968572760197574
351312.49029668392160.50970331607838
36815.1985518589504-7.1985518589504
372014.94531498752565.05468501247436
381213.0725165807686-1.07251658076858
391012.5518373644601-2.55183736446006
401012.8771834969334-2.87718349693339
41912.4453859315801-3.44538593158006
421412.51581591350651.4841840864935
43813.037343869321-5.03734386932104
441414.6399491092459-0.639949109245891
451113.5477571609359-2.54775716093592
461313.6606777813764-0.66067778137639
47913.8768415786036-4.8768415786036
481112.6751140669962-1.67511406699625
491511.50788744290723.49211255709279
501112.6449656408801-1.64496564088009
511012.3862854492859-2.38628544928587
521413.63616012571790.363839874282119
531814.12064422669863.87935577330136
541414.8039164678259-0.803916467825926
551114.8520394991819-3.85203949918192
561213.0060581882788-1.00605818827878
571312.2222810908850.777718909114987
58913.3820315813875-4.38203158138753
591012.2380079099394-2.23800790993939
601512.8156904908842.18430950911597
612015.63119632959044.36880367040964
621211.63742663658420.362573363415781
631211.6659706514950.334029348504983
641414.6331523708316-0.633152370831617
651314.2529947788793-1.25299477887932
661111.4889767261953-0.488976726195343
671712.77837968243684.22162031756325
681211.85470373123250.145296268767508
691313.6946216718854-0.694621671885408
701412.60438672007641.39561327992359
711314.9111966061026-1.91119660610264
721514.45291997814840.547080021851616
731310.73695063190372.26304936809628
741011.3498357135116-1.34983571351162
751111.7350165788297-0.735016578829656
761911.84772224931067.15227775068944
771312.5134336423450.486566357654981
781713.40518103695313.59481896304691
791313.2584943948658-0.258494394865768
80914.3847790637067-5.38477906370673
811111.4749376902-0.474937690199997
821011.0803569200224-1.08035692002241
83912.79739846595-3.79739846595002
841212.3878414244335-0.387841424433496
851212.9217593526976-0.921759352697591
861312.4179890889810.582010911018996
871312.30995785856680.690042141433205
881212.8409266868371-0.84092668683708
891514.35775046081260.642249539187434
902213.13469794125218.86530205874794
911313.8030511277753-0.803051127775338
921513.8244591922141.17554080778596
931311.53540820680651.46459179319348
941511.99183577347723.00816422652278
951012.6660854961424-2.66608549614239
961111.3200998442327-0.320099844232734
971612.83367802578223.16632197421783
981111.967837272162-0.967837272161952
991111.4513355504251-0.451335550425146
1001012.6499472226174-2.64994722261739
1011011.6848742431644-1.6848742431644
1021612.45749278483523.54250721516483
1031210.26620744035631.73379255964375
1041114.0967373762068-3.09673737620685
1051611.52660917250924.47339082749084
1061913.4551776838325.54482231616803
1071111.9481703725791-0.948170372579076
1081612.08549323615313.9145067638469
1091513.98111405879361.01888594120642
1102415.44579300113118.55420699886886
1111411.67389181248522.32610818751481
1121512.29341452017582.70658547982421
1131110.96402069856160.0359793014384302
1141513.80643899448041.19356100551955
1151213.2854859166625-1.28548591666254
1161011.04114655842-1.04114655841996
1171414.2298151374533-0.229815137453338
1181313.2314718697932-0.231471869793242
119913.5279004313979-4.5279004313979
1201510.86321275396254.13678724603754
1211514.68613703302110.313862966978907
1221412.65030518001271.34969481998732
1231111.4180347355596-0.418034735559631
124812.0057918881055-4.00579188810547
1251113.0130402019639-2.01304020196386
1261111.8472657719856-0.847265771985595
127811.3443806176112-3.34438061761118
1281011.3536762566055-1.35367625660552
1291112.7804578043604-1.78045780436036
1301313.6041189936573-0.60411899365734
1311112.5628814899078-1.56288148990782
1322014.79820100675295.20179899324709
1331011.6900141756646-1.69001417566463
1341514.6693028041030.330697195896972
1351212.7411443889479-0.741144388947915
1361412.94211437690911.05788562309091
1372315.75064605882567.24935394117444
1381414.2484667539124-0.248466753912449
1391615.80428965115740.195710348842603
1401114.452582485783-3.45258248578298
1411214.6388650105971-2.63886501059712
1421014.2336789711707-4.23367897117066
1431411.97188694262922.02811305737084
1441211.29317054896770.706829451032327
1451212.7173503346015-0.717350334601543
1461112.8226469589556-1.82264695895565
1471212.3378667657218-0.337866765721811
1481314.3972917992432-1.3972917992432
1491112.6165764946986-1.61657649469861
1501913.66166350080395.3383364991961
1511212.871378862012-0.871378862011954
1521711.54645846592265.45354153407738
153912.0322493924343-3.03224939243428
1541212.4070828492663-0.407082849266279
1551913.54679636626165.45320363373836
1561814.50669770421673.49330229578331
1571513.8244591922141.17554080778596
1581413.75684121583290.243158784167058
1591112.7804578043604-1.78045780436036
160911.6721952999698-2.67219529996978
1611812.39255486537965.60744513462041
1621614.30999050730131.69000949269871


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.9833152453106040.03336950937879180.0166847546893959
110.9801163586231060.03976728275378870.0198836413768943
120.9772044622584990.04559107548300240.0227955377415012
130.9584908696269990.08301826074600120.0415091303730006
140.9442978792363460.1114042415273080.0557021207636539
150.9313269057057230.1373461885885540.0686730942942772
160.8955066635497370.2089866729005260.104493336450263
170.8978589803673170.2042820392653660.102141019632683
180.8542100305062370.2915799389875260.145789969493763
190.8883015598552820.2233968802894350.111698440144718
200.8512849905423750.297430018915250.148715009457625
210.9275105460242480.1449789079515040.072489453975752
220.9051734843295970.1896530313408070.0948265156704033
230.8774919231546190.2450161536907630.122508076845381
240.8510093838225740.2979812323548520.148990616177426
250.8065328666828350.386934266634330.193467133317165
260.7627028150864580.4745943698270840.237297184913542
270.7653698597631590.4692602804736820.234630140236841
280.7153579419487360.5692841161025280.284642058051264
290.7536358943340960.4927282113318080.246364105665904
300.7197412347930620.5605175304138760.280258765206938
310.7241732745927660.5516534508144680.275826725407234
320.6885725505952870.6228548988094250.311427449404713
330.6639172981330120.6721654037339760.336082701866988
340.6367076017546660.7265847964906680.363292398245334
350.6053813703497270.7892372593005460.394618629650273
360.6988694283211560.6022611433576880.301130571678844
370.8656493605019590.2687012789960820.134350639498041
380.8343074378335460.3313851243329080.165692562166454
390.8227382508832640.3545234982334720.177261749116736
400.8110709519562360.3778580960875280.188929048043764
410.8076463458636190.3847073082727630.192353654136381
420.7866805351336610.4266389297326790.213319464866339
430.8381211721285540.3237576557428920.161878827871446
440.8062708726997030.3874582546005940.193729127300297
450.7832697869520810.4334604260958370.216730213047919
460.7451781322261940.5096437355476120.254821867773806
470.7941830735381420.4116338529237170.205816926461858
480.7642515781969610.4714968436060780.235748421803039
490.7689870825811550.462025834837690.231012917418845
500.737006494029650.5259870119407010.26299350597035
510.7248309185613370.5503381628773260.275169081438663
520.6870508763004370.6258982473991260.312949123699563
530.7309151638668850.538169672266230.269084836133115
540.6950748937835520.6098502124328960.304925106216448
550.7058718727480990.5882562545038020.294128127251901
560.6696742985870830.6606514028258340.330325701412917
570.6336471463750690.7327057072498620.366352853624931
580.6811647124532870.6376705750934260.318835287546713
590.6601278241858080.6797443516283850.339872175814192
600.6456411634039020.7087176731921950.354358836596098
610.7125272321646220.5749455356707560.287472767835378
620.6724395791309780.6551208417380450.327560420869022
630.6286882905914850.742623418817030.371311709408515
640.58554616377220.82890767245560.4144538362278
650.549433088903650.9011338221927010.45056691109635
660.5028906345207710.9942187309584580.497109365479229
670.5528695920825390.8942608158349220.447130407917461
680.5059601130438870.9880797739122270.494039886956113
690.4630693188253810.9261386376507620.536930681174619
700.4266915361233930.8533830722467860.573308463876607
710.4022974764063320.8045949528126640.597702523593668
720.3582416678353720.7164833356707440.641758332164628
730.3381505252890750.6763010505781510.661849474710925
740.3092084155858910.6184168311717820.690791584414109
750.2716652110117510.5433304220235030.728334788988249
760.4861604312522060.9723208625044130.513839568747794
770.4419373328189360.8838746656378720.558062667181064
780.4643529507990860.9287059015981720.535647049200914
790.4193659280561430.8387318561122870.580634071943857
800.5374586735594860.9250826528810280.462541326440514
810.4925072968321660.9850145936643320.507492703167834
820.4552158393331680.9104316786663360.544784160666832
830.4882175219044890.9764350438089780.511782478095511
840.4458542569120430.8917085138240860.554145743087957
850.405072782360740.8101455647214790.59492721763926
860.3616428701753360.7232857403506730.638357129824664
870.3213541665903390.6427083331806770.678645833409661
880.2851961956661280.5703923913322550.714803804333872
890.2490844988192030.4981689976384060.750915501180797
900.5862938261941650.8274123476116690.413706173805834
910.5436126041466130.9127747917067750.456387395853387
920.5047248533382320.9905502933235350.495275146661768
930.4701956148876830.9403912297753650.529804385112317
940.4692068101678490.9384136203356970.530793189832151
950.4582052722455040.9164105444910080.541794727754496
960.4121542995612830.8243085991225660.587845700438717
970.4113161680680710.8226323361361430.588683831931929
980.3713242305857570.7426484611715150.628675769414243
990.3284726008283080.6569452016566150.671527399171692
1000.318567674261560.637135348523120.68143232573844
1010.2932973599016370.5865947198032730.706702640098363
1020.3038754753476110.6077509506952220.696124524652389
1030.2818374627845480.5636749255690970.718162537215452
1040.2961038002227990.5922076004455980.703896199777201
1050.368150753272450.73630150654490.63184924672755
1060.4556381551471830.9112763102943650.544361844852817
1070.4117623847484520.8235247694969040.588237615251548
1080.4479325846363240.8958651692726470.552067415363676
1090.4027395309831620.8054790619663240.597260469016838
1100.7560805345952630.4878389308094750.243919465404737
1110.7370666333724720.5258667332550550.262933366627528
1120.7312079247622320.5375841504755370.268792075237768
1130.6974065270082870.6051869459834260.302593472991713
1140.6567902929063080.6864194141873830.343209707093692
1150.6213996212565560.7572007574868890.378600378743444
1160.5727056337317550.854588732536490.427294366268245
1170.5239052617469040.9521894765061930.476094738253096
1180.4740608987610660.9481217975221310.525939101238934
1190.5455175181092080.9089649637815830.454482481890792
1200.6359188759517410.7281622480965180.364081124048259
1210.5832947535993780.8334104928012450.416705246400622
1220.5351289059737730.9297421880524550.464871094026227
1230.4811027303836150.9622054607672290.518897269616385
1240.4829316020605470.9658632041210930.517068397939453
1250.4604060860674470.9208121721348950.539593913932553
1260.4080028084495250.816005616899050.591997191550475
1270.4256805203868930.8513610407737870.574319479613107
1280.372992659894530.7459853197890610.62700734010547
1290.3320121299201330.6640242598402660.667987870079867
1300.2914238933680040.5828477867360070.708576106631996
1310.2518939741817050.503787948363410.748106025818295
1320.2976941783660930.5953883567321860.702305821633907
1330.2556785150560070.5113570301120140.744321484943993
1340.2077992728618440.4155985457236880.792200727138156
1350.164897148861340.3297942977226790.83510285113866
1360.1286618416457790.2573236832915580.871338158354221
1370.3019806942627110.6039613885254210.698019305737289
1380.2453552623801730.4907105247603460.754644737619827
1390.1968270182265790.3936540364531580.803172981773421
1400.2031606693701470.4063213387402940.796839330629853
1410.222684828870950.4453696577419010.77731517112905
1420.2618144222774670.5236288445549350.738185577722533
1430.220100935746890.4402018714937810.77989906425311
1440.1759080961916930.3518161923833850.824091903808307
1450.136704957227240.2734099144544790.86329504277276
1460.4733828507887880.9467657015775770.526617149211212
1470.3896317223850590.7792634447701170.610368277614942
1480.3417819238454030.6835638476908060.658218076154597
1490.2641365035465170.5282730070930350.735863496453482
1500.1938261703633140.3876523407266280.806173829636686
1510.4708681410208840.9417362820417680.529131858979116
1520.35130262927810.7026052585561990.6486973707219


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level30.020979020979021OK
10% type I error level40.027972027972028OK