Multiple Linear Regression - Estimated Regression Equation
Software[t] = + 4.53674156126451 -0.0475663060388085Connected[t] + 0.0332648042754252Separate[t] + 0.529086781948238Learning[t] -0.0402612851467604Happiness[t] -0.0230685092860339Depression[t] -0.000217011775257963Belonging[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)4.536741561264512.5528281.77710.0775060.038753
Connected-0.04756630603880850.046846-1.01540.3115060.155753
Separate0.03326480427542520.0438920.75790.4496760.224838
Learning0.5290867819482380.0667247.929500
Happiness-0.04026128514676040.075143-0.53580.5928660.296433
Depression-0.02306850928603390.055311-0.41710.6772030.338601
Belonging-0.0002170117752579630.014179-0.01530.9878090.493904


Multiple Linear Regression - Regression Statistics
Multiple R0.551793903306914
R-squared0.30447651172668
Adjusted R-squared0.277553021858036
F-TEST (value)11.3089541219274
F-TEST (DF numerator)6
F-TEST (DF denominator)155
p-value1.8438783833119e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.82039360524009
Sum Squared Residuals513.644096089846


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1129.87673201389092.1232679861091
21111.2143981262762-0.214398126276164
31513.54651334297081.45348665702919
4611.3217290222382-5.32172902223825
51310.41238770913662.58761229086338
6109.696276176676440.303723823323563
71212.6828465948696-0.682846594869635
81411.21854930286232.78145069713774
91210.54517439935181.4548256006482
10611.0568497366789-5.05684973667889
111011.2935485048991-1.29354850489915
121211.4595152724630.540484727536964
131211.59569831290110.404301687098903
141111.4322483711724-0.43224837117239
151512.21805826334522.78194173665484
161211.14945623331120.850543766688827
171010.9222370047011-0.922237004701128
181213.6177276473567-1.61772764735672
191112.6610484247539-1.66104842475394
201211.58804116175180.411958838248243
211111.6772413454725-0.677241345472543
221211.77819345043510.22180654956493
231313.1461683058827-0.146168305882693
241111.721256904562-0.721256904561957
25911.7837461933712-2.78374619337116
261312.05814295169120.941857048308756
271011.539584145265-1.53958414526497
281411.20949350556022.79050649443981
291211.58637518856870.413624811431317
301010.6671360980343-0.667136098034311
311211.06074423505380.939255764946171
3289.78482343634683-1.78482343634683
331010.2846773412435-0.284677341243543
341211.73977155683810.26022844316187
351210.44503874734091.55496125265905
3676.97182931006960.028170689930404
3768.64200194427687-2.64200194427687
381210.43315880755471.56684119244535
391011.7222962945742-1.7222962945742
401011.665992289906-1.66599228990604
411011.4790557536692-1.47905575366923
421210.44102506881241.55897493118759
431513.53498403506781.4650159649322
441010.5594951741916-0.559495174191578
451010.3159885623767-0.315988562376742
46129.003489430848762.99651056915124
471310.60812261963922.39187738036076
481111.1604097740797-0.160409774079746
491111.5072772593509-0.507277259350861
501210.40748442368011.59251557631987
511411.85358033863352.14641966136646
521010.5186219325593-0.518621932559337
53129.589620646886312.41037935311369
541311.82938894775141.17061105224859
5558.09031377662165-3.09031377662165
56610.3512426383641-4.35124263836413
571211.31791742785160.682082572148437
581211.92763489295740.0723651070426507
591111.1809605467522-0.180960546752193
601011.6239588211228-1.6239588211228
6179.5952461922076-2.5952461922076
621211.50868506329090.491314936709087
631411.81273766201512.18726233798491
641110.73576743660410.264232563395859
651211.50055606587120.499443934128751
661312.42346650558240.576533494417607
671412.66282319693161.33717680306838
681112.7556647778177-1.75566477781767
69129.443807540385762.55619245961424
701211.62625489957010.373745100429911
7188.33953430347212-0.339534303472119
721110.73153674630030.268463253699653
731412.81898874603921.18101125396084
741412.7670627995961.23293720040402
751211.48764608437740.512353915622602
76911.7352770069174-2.73527700691739
771311.47345121470971.52654878529027
781111.4855494223918-0.485549422391765
791210.19370228542851.80629771457155
801211.39759453809080.602405461909221
811211.75515811747780.244841882522197
821213.7412104307933-1.74121043079329
831211.74116342244970.258836577550258
841210.87398397476681.12601602523319
851111.1855586061583-0.185558606158294
861011.5833923862259-1.58339238622588
87910.5136784647425-1.51367846474252
881211.70799140254030.292008597459742
891211.80603795206220.19396204793783
901211.19656670770830.803433292291679
9199.60858608354843-0.608586083548425
921512.00216059173872.99783940826125
931211.78064653175580.21935346824424
941210.95485542004181.04514457995818
951210.26194823794011.73805176205993
961011.4292819843229-1.42928198432293
971311.53923951580981.46076048419016
98911.5341797809451-2.53417978094508
991211.41740669092770.582593309072318
1001010.7682704042319-0.768270404231942
1011411.4605235616022.53947643839795
1021111.5383714687088-0.538371468708803
1031513.69743926634541.30256073365459
1041111.1713855010304-0.171385501030366
1051111.7396099838739-0.739609983873909
106129.761281178379862.23871882162014
1071211.97353831513560.026461684864413
1081211.36081562976550.639184370234495
1091111.6936520780571-0.693652078057068
11079.27131394854819-2.27131394854819
1111211.76147086385950.238529136140498
1121411.82035247904832.17964752095166
1131112.5767046911582-1.57670469115817
1141110.07255439563380.927445604366178
115109.238814827578220.761185172421776
1161312.47129538182980.528704618170188
1171310.80652482235312.19347517764686
118810.7785548371962-2.77855483719623
1191110.22320138882910.77679861117093
1201211.46292670575850.537073294241452
1211110.23509768858610.764902311413893
1221311.5226142836911.47738571630898
1231210.02769053651271.97230946348726
1241411.70127906505732.29872093494271
1251311.0610493848041.93895061519601
1261511.83101888702273.16898111297734
1271010.7939101102318-0.793910110231756
1281111.8044409436942-0.804440943694227
129911.064592171392-2.06459217139201
130119.399266028635691.60073397136431
1311011.7851886751859-1.78518867518592
132118.722182019265332.27781798073468
133811.4789613123181-3.47896131231812
134119.635384127974621.36461587202538
1351210.55126548756721.4487345124328
1361210.93066616330981.06933383669024
13799.82967036550726-0.82967036550726
1381111.1197681709081-0.119768170908117
139109.270286210115930.729713789884068
14089.48040394568525-1.48040394568525
14197.643955848454151.35604415154585
142811.7646886186332-3.76468861863324
143911.191688773214-2.19168877321399
1441512.4093527067012.59064729329904
1451111.3952137882394-0.395213788239373
14688.03891785924025-0.0389178592402469
1471312.49883598982720.50116401017276
1481210.14423019926151.85576980073846
1491211.75805230468080.241947695319202
15099.99802764969761-0.998027649697608
15178.37796844333626-1.37796844333626
1521310.7733509000332.22664909996697
153911.7817332476172-2.78173324761722
154611.8590543468075-5.85905434680751
155810.5945120872977-2.59451208729773
15688.33357342147779-0.333573421477789
1571512.00216059173872.99783940826125
158610.2219547569886-4.22195475698856
159911.064592171392-2.06459217139201
1601111.7001071243266-0.700107124326592
16189.61133172300999-1.61133172300999
162810.0876816072102-2.08768160721021


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.9998627020595950.0002745958808092590.00013729794040463
110.9996438447248740.000712310550251860.00035615527512593
120.9995218532913690.0009562934172616910.000478146708630846
130.999090141665670.001819716668659510.000909858334329755
140.9983309227593510.003338154481297470.00166907724064873
150.997996087072910.004007825854179160.00200391292708958
160.9966198460262020.006760307947595950.00338015397379797
170.993935415952820.01212916809435920.00606458404717959
180.9925730536739730.01485389265205330.00742694632602664
190.9888888539557830.02222229208843470.0111111460442173
200.9819773505801720.03604529883965570.0180226494198279
210.9735045005691710.05299099886165720.0264954994308286
220.9624049832039590.07519003359208130.0375950167960407
230.9467435096932020.1065129806135970.0532564903067985
240.9282288221965110.1435423556069780.0717711778034888
250.9255653744769490.1488692510461030.0744346255230514
260.9436760357431590.1126479285136820.0563239642568411
270.9331964110628470.1336071778743070.0668035889371534
280.9396414845288660.1207170309422670.0603585154711336
290.9188609706741530.1622780586516930.0811390293258467
300.8983990982099410.2032018035801190.101600901790059
310.879636743056550.24072651388690.12036325694345
320.8969823339233030.2060353321533950.103017666076697
330.8678453545014580.2643092909970840.132154645498542
340.8335367878317290.3329264243365410.166463212168271
350.8225018608884580.3549962782230840.177498139111542
360.7856479854148570.4287040291702850.214352014585142
370.8257014333702320.3485971332595360.174298566629768
380.8169937831879870.3660124336240260.183006216812013
390.8065339790477160.3869320419045690.193466020952284
400.7878029142357660.4243941715284690.212197085764234
410.763100740351020.4737985192979590.23689925964898
420.7472466601328380.5055066797343240.252753339867162
430.7481947280729850.503610543854030.251805271927015
440.705620587760730.5887588244785390.29437941223927
450.6613930638488710.6772138723022580.338606936151129
460.7286934305453960.5426131389092090.271306569454604
470.73483145414570.53033709170860.2651685458543
480.6908411244973870.6183177510052260.309158875502613
490.6530259423876520.6939481152246960.346974057612348
500.6390331881560660.7219336236878680.360966811843934
510.6445092360558970.7109815278882070.355490763944103
520.597901623160190.804196753679620.40209837683981
530.6259187495157610.7481625009684770.374081250484239
540.5909433524705470.8181132950589050.409056647529453
550.6852891776269340.6294216447461330.314710822373066
560.8443068005020540.3113863989958920.155693199497946
570.8171487053284040.3657025893431920.182851294671596
580.783222446999480.433555106001040.21677755300052
590.7468227770564790.5063544458870410.253177222943521
600.7353607161193710.5292785677612570.264639283880629
610.7532104093762260.4935791812475490.246789590623774
620.7170672638804430.5658654722391140.282932736119557
630.7316965384361170.5366069231277660.268303461563883
640.6914399988629890.6171200022740230.308560001137011
650.6568997754274680.6862004491450630.343100224572532
660.6152677450214850.7694645099570310.384732254978515
670.5948057700970650.8103884598058690.405194229902935
680.5774897304856040.8450205390287910.422510269514396
690.5961077951420960.8077844097158070.403892204857904
700.5523224976628040.8953550046743920.447677502337196
710.5121729959085710.9756540081828570.487827004091429
720.4690660467560890.9381320935121780.530933953243911
730.4406887931890450.8813775863780910.559311206810955
740.4166662560949770.8333325121899540.583333743905023
750.3906429053750010.7812858107500020.609357094624999
760.4405788250941830.8811576501883650.559421174905817
770.4267835712215570.8535671424431140.573216428778443
780.3860338307705580.7720676615411160.613966169229442
790.3908912222749040.7817824445498080.609108777725096
800.3683144929691940.7366289859383890.631685507030806
810.3276255523003670.6552511046007340.672374447699633
820.3242418161231760.6484836322463520.675758183876824
830.2859020423288170.5718040846576330.714097957671183
840.2608375558340340.5216751116680690.739162444165966
850.224950440821810.449900881643620.77504955917819
860.2170867754599190.4341735509198390.782913224540081
870.2167938932213070.4335877864426140.783206106778693
880.1847964457651340.3695928915302680.815203554234866
890.1566769563911960.3133539127823930.843323043608804
900.1357111634879640.2714223269759270.864288836512036
910.1159480484618550.231896096923710.884051951538145
920.1620771352795190.3241542705590390.837922864720481
930.1413088540909680.2826177081819370.858691145909032
940.1259972475414910.2519944950829810.874002752458509
950.1216591707152010.2433183414304010.878340829284799
960.1132108465877670.2264216931755340.886789153412233
970.1044940318490410.2089880636980810.895505968150959
980.1289368274969280.2578736549938570.871063172503072
990.107609915635870.215219831271740.89239008436413
1000.09085601966152320.1817120393230460.909143980338477
1010.1115753416305250.223150683261050.888424658369475
1020.09231257100570930.1846251420114190.907687428994291
1030.08806149301995720.1761229860399140.911938506980043
1040.074218633470430.148437266940860.92578136652957
1050.06253472172978510.125069443459570.937465278270215
1060.06364992225210490.127299844504210.936350077747895
1070.05012750583500440.1002550116700090.949872494164996
1080.04432144056049950.0886428811209990.955678559439501
1090.03533076305352450.07066152610704910.964669236946475
1100.03665618474473160.07331236948946320.963343815255268
1110.02880204752711750.0576040950542350.971197952472883
1120.03221318778872110.06442637557744220.967786812211279
1130.02881519849788090.05763039699576180.971184801502119
1140.02313137788629030.04626275577258050.97686862211371
1150.01822135651527010.03644271303054020.98177864348473
1160.0137660621489450.02753212429789010.986233937851055
1170.02205201497401480.04410402994802960.977947985025985
1180.02522013807025350.05044027614050710.974779861929746
1190.0193749987732640.03874999754652790.980625001226736
1200.01502528154842320.03005056309684640.984974718451577
1210.01254553427026710.02509106854053420.987454465729733
1220.01047970038092480.02095940076184970.989520299619075
1230.01235574071768590.02471148143537180.987644259282314
1240.01945482664204790.03890965328409580.980545173357952
1250.02053953187025840.04107906374051670.979460468129742
1260.04897786137035270.09795572274070540.951022138629647
1270.0374363621339260.0748727242678520.962563637866074
1280.02873529873248830.05747059746497650.971264701267512
1290.02403465674791410.04806931349582810.975965343252086
1300.02257273033574210.04514546067148410.977427269664258
1310.01831186285733380.03662372571466760.981688137142666
1320.02083404651176790.04166809302353580.979165953488232
1330.03294417106975860.06588834213951710.967055828930241
1340.03574486737403950.07148973474807890.964255132625961
1350.03969923919800750.0793984783960150.960300760801993
1360.03388490198177510.06776980396355020.966115098018225
1370.02918491664687170.05836983329374340.970815083353128
1380.02109371752269570.04218743504539130.978906282477304
1390.02106917730090270.04213835460180540.978930822699097
1400.01497113714894590.02994227429789170.985028862851054
1410.04530952408013540.09061904816027080.954690475919865
1420.05053176383586690.1010635276717340.949468236164133
1430.03721930835477920.07443861670955840.962780691645221
1440.364361668391490.728723336782980.63563833160851
1450.3720360779464030.7440721558928070.627963922053597
1460.6356954088575860.7286091822848270.364304591142414
1470.6190564554986690.7618870890026610.380943544501331
1480.8283936428844450.3432127142311110.171606357115556
1490.8161740731143870.3676518537712260.183825926885613
1500.7259188699551190.5481622600897620.274081130044881
1510.6197858314618650.760428337076270.380214168538135
1520.6008637056480580.7982725887038840.399136294351942


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.048951048951049NOK
5% type I error level290.202797202797203NOK
10% type I error level480.335664335664336NOK