Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -1.40033179694972 -0.076094555483637Depression[t] + 0.0719081107769395Belonging[t] + 0.0941357682157757Weighted_popularity[t] + 0.083878464867039Parental_criticism[t] -0.0399931531986932Belonging_final[t] -0.0601894895057676Happiness[t] + 0.118163788663957FindingFriends[t] + 0.230029151161890KnowingPeople[t] + 0.344271299678481Liked[t] + 0.522587758027874Celebrity[t] -0.00639854118490133t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.400331796949722.56448-0.5460.5858770.292939
Depression-0.0760945554836370.063844-1.19190.235270.117635
Belonging0.07190811077693950.0514821.39680.1646320.082316
Weighted_popularity0.09413576821577570.05841.61190.1091690.054585
Parental_criticism0.0838784648670390.0659321.27220.2053530.102677
Belonging_final-0.03999315319869320.073107-0.54710.5851910.292595
Happiness-0.06018948950576760.085851-0.70110.4843740.242187
FindingFriends0.1181637886639570.0938941.25850.2102560.105128
KnowingPeople0.2300291511618900.0645893.56145e-040.00025
Liked0.3442712996784810.0941933.6550.000360.00018
Celebrity0.5225877580278740.1588553.28970.0012610.00063
t-0.006398541184901330.003744-1.70910.0895910.044795


Multiple Linear Regression - Regression Statistics
Multiple R0.747479529845818
R-squared0.558725647538525
Adjusted R-squared0.525017190058829
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 Residuals589.845203835411


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.10411888090751.89588111909250
2129.379572235489662.62042776451034
31513.66928290473511.33071709526493
41212.1780196356576-0.17801963565763
51413.63406638481250.365933615187533
689.12171124973133-1.12171124973133
71112.1232135702656-1.12321357026557
8158.352695352270796.64730464772921
946.33029989402401-2.33029989402401
101310.6090666812382.39093331876199
111914.38040437585064.61959562414936
121011.4488108912758-1.44881089127583
131517.291412674971-2.29141267497098
14613.1906313519517-7.19063135195172
15712.1323718286991-5.1323718286991
161413.52674881435100.47325118564904
171614.32039401972771.67960598027230
181615.77987494835390.220125051646122
191415.1842230800641-1.18422308006412
201515.2061068182984-0.206106818298382
211414.6590612639979-0.659061263997852
221211.3650278495430.634972150456999
2399.07843878284137-0.0784387828413666
241211.56458655886740.435413441132648
251413.90436367430320.0956363256968038
261212.0395860686947-0.0395860686946777
271413.74491739633450.255082603665467
281011.3237347453513-1.32373474535133
291412.95870637259151.04129362740849
301616.0209419101327-0.0209419101327301
31108.830744427978021.16925557202198
32810.7103914354383-2.71039143543826
331211.74485458927990.255145410720076
341110.89123982907210.108760170927926
35810.3166168319753-2.31661683197533
361312.12378872463810.876211275361948
371110.01556689669140.98443310330859
38129.785784885710042.21421511428996
391615.26963036585610.730369634143928
401612.97847210707633.02152789292375
411313.8822688592405-0.882268859240485
421415.2715261726568-1.27152617265677
4355.55350869007313-0.553508690073128
441413.31750772459150.682492275408454
45139.032165895770663.96783410422934
461615.48302062039740.516979379602634
471414.6731379723986-0.673137972398646
481514.20822598301870.791774016981327
491513.30122948746531.69877051253468
501112.1583384993798-1.15833849937977
511513.60270189935871.3972981006413
521612.61452878680683.38547121319315
531313.3125508280339-0.312550828033874
541113.6932708599582-2.69327085995817
551213.8771452843589-1.87714528435892
561211.53689280320680.463107196793213
571013.3738483993187-3.37384839931873
5889.03838872227876-1.03838872227876
5999.60405812870067-0.604058128700668
601212.0926494029421-0.0926494029421035
611413.94814721482740.0518527851726437
621213.0528342079952-1.05283420799521
631111.0075014050402-0.00750140504018929
641413.90940055219770.0905994478022505
65711.5459981683963-4.54599816839630
661614.04475397274011.95524602725989
671615.53715287144920.462847128550839
681112.2647601803260-1.26476018032602
691615.35461214450550.645387855494538
701314.4183599616621-1.41835996166212
711110.82073288780610.17926711219393
721312.80317605040.19682394960001
731414.3362199694722-0.336219969472208
741513.48616893958641.51383106041364
75109.359659407222940.640340592777062
761514.72447441985310.275525580146891
771112.9958102339005-1.99581023390055
781111.4024329141157-0.402432914115743
7968.49918198128773-2.49918198128773
80119.632337418401931.36766258159807
811211.55664370196360.443356298036368
821313.2091406540391-0.209140654039053
831212.3210617317896-0.321061731789568
84810.6490833407533-2.64908334075331
85910.7349212539284-1.73492125392839
861011.6467410654182-1.64674106541819
871613.11587907013892.88412092986111
881512.76522991599382.23477008400617
891413.56960718756760.430392812432445
901213.6433703651392-1.64337036513920
911210.26827476188071.73172523811934
92108.820332062713181.17966793728682
931211.42637461338360.573625386616377
9489.3413456607946-1.34134566079460
951614.05207650692261.94792349307736
96117.750873764631233.24912623536877
971211.49227448057700.507725519422968
98910.2998349775947-1.29983497759473
991411.31071992558732.68928007441269
1001514.44179146272960.558208537270431
101810.7050914338505-2.70509143385053
1021212.2985131903579-0.298513190357948
1031010.4127573387016-0.412757338701639
1041614.78389020264291.21610979735713
1051714.27199666982762.72800333017243
106810.0794170593795-2.07941705937948
107910.5838716669164-1.58387166691636
108811.3755467072374-3.37554670723741
1091112.3744237176035-1.37442371760347
1101615.27596002906290.724039970937076
1111313.4306727557511-0.430672755751130
11257.71119025790909-2.71119025790909
1131512.78467871000662.21532128999339
1141513.9408392167791.05916078322099
1151211.39729190715030.60270809284972
1161211.39560277990660.60439722009336
1171615.72343887247390.276561127526108
1181212.4369449584-0.436944958399993
1191011.6255542363726-1.62555423637263
1201210.56609915655751.43390084344252
12146.22293211352812-2.22293211352812
1221112.9176944639492-1.91769446394925
1231614.67881011607401.32118988392603
12478.79712611731686-1.79712611731686
125910.7125218131455-1.71252181314545
1261410.82810290137843.17189709862156
127119.645373124880191.35462687511981
1281010.7811590578546-0.781159057854605
12968.4773317134976-2.47733171349761
1301412.80235244916451.19764755083547
1311110.82017442731760.179825572682416
132119.118604324233731.88139567576627
133913.8648278690724-4.86482786907245
1341611.3723579274544.62764207254599
13578.44596341492404-1.44596341492404
13688.78090798916263-0.780907989162627
137109.907247113123780.0927528868762226
1381411.91072591833422.08927408166581
13999.55187003377597-0.551870033775968
1401312.24403850580420.755961494195762
141139.58402687019163.41597312980839
1421211.65213641403920.347863585960838
1431112.5351681163983-1.53516811639827
1441014.9020014400070-4.90200144000698
1451211.91720443517050.0827955648294793
1461413.24193186753880.758068132461205
1471113.3186321462926-2.3186321462926
1481310.99187776127512.00812223872485
1491413.54288723676160.457112763238448
1501312.56418949320980.435810506790199
1511616.0433459968011-0.0433459968011405
1521312.12901360157780.87098639842222
1531211.16926560519660.83073439480335
15499.09291427494277-0.0929142749427714
1551411.25776782703252.74223217296746
1561514.52799791894940.472002081050603


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
150.9336492573955630.1327014852088740.066350742604437
160.9999306218741460.0001387562517079236.93781258539613e-05
170.999825330422720.0003493391545604130.000174669577280207
180.9995788242493360.0008423515013271790.000421175750663589
190.999442462963340.001115074073318620.000557537036659311
200.9989417082623730.002116583475253860.00105829173762693
210.9990347553211670.001930489357665010.000965244678832506
220.9995672504713650.0008654990572709780.000432749528635489
230.9991578278316070.001684344336786150.000842172168393073
240.9984453260016660.003109347996668610.00155467399833431
250.9972355174606210.005528965078757280.00276448253937864
260.9952678823144680.009464235371065050.00473211768553253
270.9959426887683370.008114622463326840.00405731123166342
280.9935169324214010.01296613515719700.00648306757859852
290.9965824577184790.006835084563042070.00341754228152104
300.9952171762680080.00956564746398340.0047828237319917
310.9929213369923820.01415732601523650.00707866300761823
320.9962843345489040.007431330902191590.00371566545109579
330.9943308617574320.01133827648513560.00566913824256779
340.9922774370725640.01544512585487140.00772256292743568
350.9912793561000530.01744128779989320.00872064389994661
360.9877578153960070.02448436920798570.0122421846039929
370.9848936426377310.03021271472453720.0151063573622686
380.9860230592496970.02795388150060670.0139769407503034
390.9852617601434230.02947647971315370.0147382398565768
400.9898363558670450.02032728826591010.0101636441329550
410.986022983535750.02795403292850060.0139770164642503
420.980778542402160.03844291519568090.0192214575978405
430.9734890365830660.05302192683386820.0265109634169341
440.967690414269650.0646191714607010.0323095857303505
450.9912925549644440.01741489007111160.00870744503555578
460.9880136781771970.02397264364560560.0119863218228028
470.9839868942327420.03202621153451670.0160131057672583
480.9790217195390530.04195656092189360.0209782804609468
490.9765208322078370.04695833558432520.0234791677921626
500.9720102590318660.05597948193626890.0279897409681344
510.9694319506334640.06113609873307160.0305680493665358
520.9821389886582160.03572202268356780.0178610113417839
530.9760673762037820.04786524759243530.0239326237962177
540.9767379353712320.0465241292575350.0232620646287675
550.9733760106219360.0532479787561280.026623989378064
560.9663856462991970.06722870740160550.0336143537008028
570.9750728129680490.04985437406390270.0249271870319513
580.9686046853847950.06279062923040990.0313953146152050
590.9587840317144120.08243193657117520.0412159682855876
600.9467447109821430.1065105780357140.0532552890178569
610.932843091196050.1343138176078990.0671569088039494
620.9198991157672450.1602017684655100.0801008842327551
630.9002519497902520.1994961004194970.0997480502097483
640.8846227746413660.2307544507172680.115377225358634
650.9361582272630730.1276835454738540.0638417727369268
660.9413024341610880.1173951316778230.0586975658389117
670.9281614025785540.1436771948428920.0718385974214462
680.9155660044640060.1688679910719890.0844339955359943
690.8984462267925830.2031075464148350.101553773207417
700.8854602364057880.2290795271884240.114539763594212
710.8627780799441780.2744438401116440.137221920055822
720.836868337466270.3262633250674590.163131662533729
730.8207122115727170.3585755768545670.179287788427283
740.8151383342403230.3697233315193530.184861665759677
750.790247551034460.419504897931080.20975244896554
760.7561521080818760.4876957838362480.243847891918124
770.746658574939360.5066828501212820.253341425060641
780.7057336850527970.5885326298944050.294266314947203
790.7113377505204570.5773244989590870.288662249479543
800.6972040707100980.6055918585798050.302795929289902
810.6618986882728770.6762026234542460.338101311727123
820.6199648520953040.7600702958093920.380035147904696
830.572654456594140.854691086811720.42734554340586
840.5814236588777490.8371526822445020.418576341122251
850.5630902037335140.8738195925329720.436909796266486
860.5395088497290240.9209823005419520.460491150270976
870.591790927840140.816418144319720.40820907215986
880.620743725162610.7585125496747810.379256274837390
890.585861475621070.828277048757860.41413852437893
900.5699168260686210.8601663478627580.430083173931379
910.5582096358566160.8835807282867680.441790364143384
920.5264658416113350.947068316777330.473534158388665
930.4829474754425660.9658949508851320.517052524557434
940.4654655263681090.9309310527362170.534534473631892
950.4793073149375690.9586146298751370.520692685062431
960.6190566541635230.7618866916729540.380943345836477
970.5739056003687620.8521887992624750.426094399631238
980.5379113310184870.9241773379630260.462088668981513
990.6049847962496090.7900304075007820.395015203750391
1000.570591213403750.85881757319250.42940878659625
1010.5908218220078040.8183563559843920.409178177992196
1020.5444237587305190.9111524825389610.455576241269481
1030.4942123088512290.9884246177024570.505787691148771
1040.5002203976503560.9995592046992870.499779602349644
1050.5519343664408120.8961312671183770.448065633559188
1060.5548921509762650.8902156980474710.445107849023735
1070.5119420381920780.9761159236158440.488057961807922
1080.609724562712760.780550874574480.39027543728724
1090.5930667409027040.8138665181945920.406933259097296
1100.5505772612457470.8988454775085050.449422738754253
1110.4948265996685130.9896531993370270.505173400331487
1120.6168093432778450.766381313444310.383190656722155
1130.6261543908035780.7476912183928430.373845609196422
1140.6152354880973120.7695290238053770.384764511902688
1150.5599876296091190.8800247407817620.440012370390881
1160.5211388776550420.9577222446899160.478861122344958
1170.4770161818485170.9540323636970340.522983818151483
1180.4638834165828050.927766833165610.536116583417195
1190.494739372148820.989478744297640.50526062785118
1200.441530858356720.883061716713440.558469141643279
1210.4134829522043010.8269659044086030.586517047795699
1220.3685878329170530.7371756658341070.631412167082947
1230.4260640319806920.8521280639613840.573935968019308
1240.3873901037021720.7747802074043440.612609896297828
1250.4151331684270880.8302663368541770.584866831572912
1260.4448625504681380.8897251009362750.555137449531862
1270.4320321230372650.864064246074530.567967876962735
1280.3616135946336770.7232271892673530.638386405366323
1290.5980661188481580.8038677623036840.401933881151842
1300.7384688316503330.5230623366993340.261531168349667
1310.7418200110498450.5163599779003090.258179988950155
1320.7892672181567970.4214655636864070.210732781843203
1330.7626227260879270.4747545478241460.237377273912073
1340.8089580224469450.3820839551061100.191041977553055
1350.7326375291746140.5347249416507720.267362470825386
1360.6681748812628130.6636502374743740.331825118737187
1370.7582451793360020.4835096413279950.241754820663998
1380.7042372239546890.5915255520906230.295762776045311
1390.6469509147001210.7060981705997570.353049085299879
1400.5030939508278420.9938120983443160.496906049172158
1410.402127666541330.804255333082660.59787233345867


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