Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -1.40033179694982 -0.0760945554836357Depression[t] + 0.0719081107769416Belonging[t] + 0.0941357682157754Weighted_popularity[t] + 0.0838784648670406Parental_criticism[t] -0.0399931531986961Belonging_final[t] -0.0601894895057667Happiness[t] + 0.118163788663958FindingFriends[t] + 0.23002915116189KnowingPeople[t] + 0.344271299678482Liked[t] + 0.522587758027872Celebrity[t] -0.0063985411849013t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.400331796949822.56448-0.5460.5858770.292939
Depression-0.07609455548363570.063844-1.19190.235270.117635
Belonging0.07190811077694160.0514821.39680.1646320.082316
Weighted_popularity0.09413576821577540.05841.61190.1091690.054585
Parental_criticism0.08387846486704060.0659321.27220.2053530.102677
Belonging_final-0.03999315319869610.073107-0.54710.5851910.292595
Happiness-0.06018948950576670.085851-0.70110.4843740.242187
FindingFriends0.1181637886639580.0938941.25850.2102560.105128
KnowingPeople0.230029151161890.0645893.56145e-040.00025
Liked0.3442712996784820.0941933.6550.000360.00018
Celebrity0.5225877580278720.1588553.28970.0012610.00063
t-0.00639854118490130.003744-1.70910.0895910.044795


Multiple Linear Regression - Regression Statistics
Multiple R0.747479529845818
R-squared0.558725647538526
Adjusted R-squared0.52501719005883
F-TEST (value)16.5752362852874
F-TEST (DF numerator)11
F-TEST (DF denominator)144
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.02389408044419
Sum Squared Residuals589.84520383541


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.10411888090761.89588111909235
2129.379572235489652.62042776451035
31513.66928290473511.33071709526493
41212.1780196356576-0.178019635657623
51413.63406638481250.365933615187536
689.12171124973132-1.12171124973132
71112.1232135702656-1.12321357026557
8158.352695352270776.64730464772923
946.33029989402401-2.33029989402401
101310.6090666812382.39093331876201
111914.38040437585064.61959562414936
121011.4488108912758-1.44881089127583
131517.291412674971-2.29141267497099
14613.1906313519517-7.1906313519517
15712.1323718286991-5.13237182869911
161413.5267488143510.473251185649045
171614.32039401972771.6796059802723
181615.77987494835390.220125051646118
191415.1842230800641-1.18422308006412
201515.2061068182984-0.206106818298377
211414.6590612639979-0.659061263997861
221211.3650278495430.634972150456989
2399.07843878284137-0.078438782841365
241211.56458655886730.435413441132651
251413.90436367430320.0956363256968043
261212.0395860686947-0.0395860686946695
271413.74491739633450.255082603665456
281011.3237347453513-1.32373474535134
291412.95870637259151.0412936274085
301616.0209419101327-0.0209419101327277
31108.8307444279781.16925557202199
32810.7103914354383-2.71039143543825
331211.74485458927990.255145410720073
341110.89123982907210.10876017092795
35810.3166168319753-2.31661683197532
361312.1237887246380.876211275361967
371110.01556689669140.984433103308587
38129.785784885710042.21421511428996
391615.26963036585610.730369634143929
401612.97847210707623.02152789292375
411313.8822688592405-0.882268859240484
421415.2715261726568-1.27152617265676
4355.55350869007311-0.553508690073111
441413.31750772459150.682492275408455
45139.032165895770663.96783410422934
461615.48302062039740.516979379602637
471414.6731379723986-0.673137972398647
481514.20822598301870.791774016981328
491513.30122948746531.69877051253468
501112.1583384993798-1.15833849937976
511513.60270189935871.39729810064131
521612.61452878680683.38547121319317
531313.3125508280339-0.312550828033872
541113.6932708599582-2.69327085995817
551213.8771452843589-1.87714528435891
561211.53689280320680.463107196793219
571013.3738483993187-3.37384839931873
5889.03838872227876-1.03838872227876
5999.60405812870065-0.604058128700651
601212.0926494029421-0.0926494029421057
611413.94814721482740.0518527851726416
621213.0528342079952-1.05283420799521
631111.0075014050402-0.00750140504019379
641413.90940055219780.0905994478022215
65711.5459981683963-4.54599816839629
661614.04475397274011.95524602725989
671615.53715287144920.462847128550832
681112.264760180326-1.26476018032602
691615.35461214450550.645387855494543
701314.4183599616621-1.41835996166212
711110.82073288780610.17926711219394
721312.80317605040.19682394960001
731414.3362199694722-0.336219969472217
741513.48616893958641.51383106041363
75109.359659407222930.640340592777073
761514.72447441985310.275525580146889
771112.9958102339005-1.99581023390055
781111.4024329141157-0.402432914115737
7968.49918198128773-2.49918198128773
80119.632337418401941.36766258159806
811211.55664370196360.443356298036378
821313.2091406540391-0.209140654039052
831212.3210617317895-0.321061731789543
84810.6490833407533-2.64908334075329
85910.7349212539284-1.73492125392839
861011.6467410654182-1.6467410654182
871613.11587907013892.88412092986112
881512.76522991599382.23477008400617
891413.56960718756760.430392812432437
901213.6433703651392-1.64337036513921
911210.26827476188071.73172523811934
92108.820332062713181.17966793728682
931211.42637461338360.573625386616375
9489.3413456607946-1.3413456607946
951614.05207650692261.94792349307736
96117.750873764631233.24912623536877
971211.4922744805770.507725519422964
98910.2998349775947-1.29983497759473
991411.31071992558732.6892800744127
1001514.44179146272960.558208537270422
101810.7050914338505-2.70509143385053
1021212.2985131903579-0.298513190357941
1031010.4127573387016-0.41275733870163
1041614.78389020264291.21610979735713
1051714.27199666982762.72800333017243
106810.0794170593795-2.07941705937949
107910.5838716669163-1.58387166691634
108811.3755467072374-3.37554670723741
1091112.3744237176035-1.37442371760347
1101615.27596002906290.724039970937074
1111313.4306727557511-0.430672755751127
11257.71119025790908-2.71119025790908
1131512.78467871000662.21532128999338
1141513.9408392167791.05916078322098
1151211.39729190715030.602708092849717
1161211.39560277990660.604397220093366
1171615.72343887247390.276561127526107
1181212.4369449584-0.436944958399992
1191011.6255542363726-1.62555423637262
1201210.56609915655751.43390084344252
12146.22293211352812-2.22293211352812
1221112.9176944639492-1.91769446394925
1231614.6788101160741.32118988392603
12478.79712611731686-1.79712611731686
125910.7125218131455-1.71252181314546
1261410.82810290137853.17189709862155
127119.645373124880181.35462687511982
1281010.7811590578546-0.781159057854594
12968.4773317134976-2.4773317134976
1301412.80235244916451.19764755083546
1311110.82017442731760.179825572682426
132119.118604324233731.88139567576627
133913.8648278690724-4.86482786907244
1341611.3723579274544.62764207254599
13578.44596341492408-1.44596341492408
13688.78090798916262-0.780907989162622
137109.907247113123780.0927528868762196
1381411.91072591833422.0892740816658
13999.55187003377597-0.551870033775968
1401312.24403850580420.75596149419577
141139.584026870191613.41597312980839
1421211.65213641403920.347863585960846
1431112.5351681163983-1.53516811639826
1441014.902001440007-4.90200144000699
1451211.91720443517050.0827955648294775
1461413.24193186753880.758068132461206
1471113.3186321462926-2.3186321462926
1481310.99187776127522.00812223872484
1491413.54288723676160.457112763238449
1501312.56418949320980.435810506790193
1511616.0433459968012-0.0433459968011492
1521312.12901360157780.870986398422214
1531211.16926560519660.830734394803352
15499.09291427494277-0.0929142749427662
1551411.25776782703252.74223217296745
1561514.52799791894940.472002081050606


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
150.9336492573955650.1327014852088710.0663507426044354
160.9999306218741460.0001387562517079226.93781258539608e-05
170.999825330422720.0003493391545604180.000174669577280209
180.9995788242493360.0008423515013271790.000421175750663589
190.999442462963340.001115074073318620.000557537036659308
200.9989417082623730.00211658347525390.00105829173762695
210.9990347553211670.001930489357665040.000965244678832521
220.9995672504713650.000865499057270980.00043274952863549
230.9991578278316070.001684344336786130.000842172168393065
240.9984453260016660.003109347996668590.00155467399833429
250.9972355174606210.00552896507875730.00276448253937865
260.9952678823144680.009464235371065080.00473211768553254
270.9959426887683370.008114622463326860.00405731123166343
280.9935169324214010.01296613515719710.00648306757859857
290.9965824577184790.00683508456304210.00341754228152105
300.9952171762680080.009565647463983370.00478282373199169
310.9929213369923820.01415732601523650.00707866300761827
320.9962843345489040.007431330902191570.00371566545109579
330.9943308617574320.01133827648513560.00566913824256782
340.9922774370725640.01544512585487130.00772256292743563
350.9912793561000530.01744128779989330.00872064389994667
360.9877578153960070.02448436920798570.0122421846039929
370.9848936426377310.03021271472453720.0151063573622686
380.9860230592496970.02795388150060690.0139769407503034
390.9852617601434230.02947647971315330.0147382398565766
400.9898363558670450.02032728826591010.010163644132955
410.986022983535750.02795403292850070.0139770164642503
420.980778542402160.03844291519568050.0192214575978403
430.9734890365830660.05302192683386860.0265109634169343
440.967690414269650.06461917146070140.0323095857303507
450.9912925549644440.01741489007111140.00870744503555572
460.9880136781771970.02397264364560570.0119863218228028
470.9839868942327420.03202621153451680.0160131057672584
480.9790217195390530.04195656092189410.0209782804609471
490.9765208322078370.04695833558432590.023479167792163
500.9720102590318650.0559794819362690.0279897409681345
510.9694319506334640.06113609873307220.0305680493665361
520.9821389886582160.03572202268356770.0178610113417838
530.9760673762037820.0478652475924350.0239326237962175
540.9767379353712320.04652412925753510.0232620646287676
550.9733760106219360.05324797875612820.0266239893780641
560.9663856462991970.0672287074016060.033614353700803
570.9750728129680490.04985437406390260.0249271870319513
580.9686046853847950.06279062923041050.0313953146152052
590.9587840317144120.08243193657117530.0412159682855877
600.9467447109821430.1065105780357140.0532552890178571
610.932843091196050.13431381760790.06715690880395
620.9198991157672450.160201768465510.0801008842327552
630.9002519497902520.1994961004194960.099748050209748
640.8846227746413640.2307544507172730.115377225358636
650.9361582272630740.1276835454738520.0638417727369262
660.9413024341610880.1173951316778230.0586975658389116
670.9281614025785530.1436771948428930.0718385974214467
680.9155660044640050.168867991071990.0844339955359949
690.8984462267925830.2031075464148350.101553773207417
700.8854602364057880.2290795271884240.114539763594212
710.8627780799441780.2744438401116440.137221920055822
720.8368683374662710.3262633250674580.163131662533729
730.8207122115727180.3585755768545640.179287788427282
740.8151383342403230.3697233315193530.184861665759677
750.7902475510344580.4195048979310830.209752448965542
760.7561521080818770.4876957838362470.243847891918123
770.7466585749393580.5066828501212840.253341425060642
780.7057336850527970.5885326298944070.294266314947203
790.7113377505204560.5773244989590880.288662249479544
800.6972040707100980.6055918585798040.302795929289902
810.6618986882728770.6762026234542470.338101311727123
820.6199648520953050.760070295809390.380035147904695
830.5726544565941390.8546910868117220.427345543405861
840.5814236588777470.8371526822445050.418576341122253
850.5630902037335110.8738195925329770.436909796266489
860.5395088497290230.9209823005419540.460491150270977
870.591790927840140.8164181443197210.408209072159861
880.6207437251626070.7585125496747860.379256274837393
890.5858614756210710.8282770487578570.414138524378929
900.569916826068620.860166347862760.43008317393138
910.5582096358566140.8835807282867720.441790364143386
920.5264658416113370.9470683167773250.473534158388663
930.4829474754425660.9658949508851310.517052524557434
940.4654655263681090.9309310527362180.534534473631891
950.4793073149375680.9586146298751370.520692685062432
960.6190566541635230.7618866916729540.380943345836477
970.5739056003687620.8521887992624770.426094399631238
980.5379113310184910.9241773379630180.462088668981509
990.6049847962496110.7900304075007770.395015203750389
1000.5705912134037510.8588175731924980.429408786596249
1010.5908218220078050.8183563559843910.409178177992195
1020.5444237587305190.9111524825389630.455576241269481
1030.494212308851230.988424617702460.50578769114877
1040.5002203976503560.9995592046992880.499779602349644
1050.5519343664408130.8961312671183740.448065633559187
1060.5548921509762650.890215698047470.445107849023735
1070.5119420381920780.9761159236158440.488057961807922
1080.6097245627127630.7805508745744750.390275437287237
1090.5930667409027040.8138665181945910.406933259097296
1100.5505772612457470.8988454775085060.449422738754253
1110.4948265996685140.9896531993370270.505173400331486
1120.6168093432778450.766381313444310.383190656722155
1130.6261543908035790.7476912183928420.373845609196421
1140.6152354880973110.7695290238053780.384764511902689
1150.5599876296091180.8800247407817650.440012370390882
1160.5211388776550420.9577222446899160.478861122344958
1170.4770161818485170.9540323636970330.522983818151483
1180.4638834165828040.9277668331656080.536116583417196
1190.494739372148820.989478744297640.50526062785118
1200.441530858356720.883061716713440.55846914164328
1210.4134829522043020.8269659044086040.586517047795698
1220.3685878329170540.7371756658341070.631412167082946
1230.4260640319806940.8521280639613880.573935968019306
1240.3873901037021710.7747802074043420.612609896297829
1250.4151331684270880.8302663368541760.584866831572912
1260.4448625504681390.8897251009362780.555137449531861
1270.4320321230372650.864064246074530.567967876962735
1280.3616135946336760.7232271892673510.638386405366324
1290.5980661188481590.8038677623036820.401933881151841
1300.7384688316503320.5230623366993360.261531168349668
1310.7418200110498450.516359977900310.258179988950155
1320.7892672181567960.4214655636864070.210732781843204
1330.7626227260879260.4747545478241490.237377273912074
1340.8089580224469450.3820839551061090.191041977553055
1350.7326375291746150.534724941650770.267362470825385
1360.6681748812628150.6636502374743690.331825118737185
1370.7582451793360050.4835096413279910.241754820663995
1380.704237223954690.5915255520906210.295762776045311
1390.6469509147001220.7060981705997560.353049085299878
1400.5030939508278410.9938120983443180.496906049172159
1410.402127666541330.8042553330826610.59787233345867


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level150.118110236220472NOK
5% type I error level360.283464566929134NOK
10% type I error level440.346456692913386NOK