Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.0342768235376193 + 0.106305539542869FindingFriends[t] + 0.21144283590659KnowingPeople[t] + 0.357652188002145Liked[t] + 0.60600258577461Celebrity[t] + 0.212600241949771`Sum `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.03427682353761931.4232830.02410.9808180.490409
FindingFriends0.1063055395428690.0955171.1130.2675090.133755
KnowingPeople0.211442835906590.0636263.32320.0011180.000559
Liked0.3576521880021450.0959313.72820.0002730.000136
Celebrity0.606002585774610.1553963.89970.0001457.2e-05
`Sum `0.2126002419497710.120031.77120.0785540.039277


Multiple Linear Regression - Regression Statistics
Multiple R0.713764528070818
R-squared0.509459801532158
Adjusted R-squared0.49310846158323
F-TEST (value)31.1570674405528
F-TEST (DF numerator)5
F-TEST (DF denominator)150
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09077045674136
Sum Squared Residuals655.69816541737


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.26913522553841.73086477446163
21210.89357760015551.10642239984454
31512.99309677252732.00690322747266
41211.03676902729230.963230972707738
51010.8137483007782-0.813748300778157
6129.112477404697512.88752259530249
71516.7228950081851-1.72289500818514
8910.2065991460963-1.20659914609634
91212.5516849436719-0.551684943671851
10117.583647111352123.41635288864788
111113.2298367682844-2.2298367682844
121111.9888567475975-0.98885674759747
131512.40131109771032.59868890228966
14711.4135057329903-4.41350573299035
151111.5007484291092-0.500748429109222
161110.62948481790950.370515182090483
171011.9888567475975-1.98885674759747
181414.3715315456393-0.371531545639309
19108.539217886922821.46078211307718
2069.25218577656882-3.25218577656881
21118.757810630246212.24218936975379
221514.40843910750520.591560892494816
231111.8322160738016-0.832216073801606
24129.573428044419752.42657195558025
251412.97968003727621.02031996272380
261514.58181697550270.418183024497282
27914.407281701462-5.407281701462
281312.73246537127500.267534628725014
291313.0195730126929-0.0195730126929230
301611.07042768628254.92957231371746
31138.711903479183944.28809652081606
321213.5868291919580-1.58682919195803
331414.7273448889978-0.727344888997824
341110.07495309815920.925046901840848
35910.4191993880461-1.41919938804611
361614.43792243549351.56207756450647
371213.0629707176471-1.06297071764708
38109.569241876281860.430758123718142
391312.87453190377650.125468096223484
401615.61417745122000.385822548779951
411412.98199484936261.01800515063743
42158.013022926253586.98697707374642
4359.64283685923271-4.64283685923271
44810.2465029586490-2.24650295864902
451111.2482227003348-0.248222700334833
461613.83934408359652.16065591640355
471714.32582603555902.67417396444096
4898.182744779235790.81725522076421
49911.4204431622892-2.42044316228919
501314.476679679139-1.47667967913900
511011.0778519201601-1.07785192016008
52612.3706595265429-6.37065952654285
531212.0970011317840-0.0970011317839686
54810.5001752563306-2.50017525633063
551411.84449707728152.15550292271849
561212.9063300438512-0.906330043851219
571110.66937779332620.330622206673764
581614.58296354440991.41703645559007
59810.5326548350058-2.53265483500578
601514.58808380333710.411916196662928
6179.11131999865433-2.11131999865433
621614.18657578703431.81342421296575
631413.14888257427180.851117425728186
641613.37723603783102.62276396216897
65910.4319238475608-1.43192384756085
661412.16339202163821.83660797836181
671113.2598285751234-2.25982857512337
681310.32448257624672.67551742375327
691513.19459509131231.80540490868766
7055.79379231622363-0.793792316223632
711512.90633004385122.09366995614878
721312.58859250553770.411407494462273
731112.4170534821838-1.41705348218382
741114.1988134419703-3.19881344197029
751212.77054117632-0.770541176320009
761213.4048805211757-1.40488052117575
771212.3360884510353-0.33608845103527
781211.95077010541650.0492298945835183
791410.85782744433283.14217255566723
8067.93737979501417-1.93737979501417
8179.71847999047212-2.71847999047212
821412.41170990800281.58829009199725
831414.1612461157759-0.161246115775900
841011.1702430827371-1.17024308273712
85139.114792216783873.88520778321613
861212.3066051230469-0.306605123046929
8799.32091315278133-0.320913152781326
881211.92428302811500.0757169718850493
891614.80184145133001.19815854866998
901010.4602606066420-0.460260606641974
911413.10171712415660.898282875843412
921013.5909936858240-3.59099368582398
931615.50788274881310.492117251186852
941513.40371227799661.5962877220034
951211.48914886422980.510851135770237
96109.35967039642680.640329603573203
97810.1222811445894-2.12228114458937
9888.71607881018586-0.716078810185863
991112.6649170753776-1.66491707537759
1001312.55910917754940.440890822450614
1011615.61302004517690.386979954823131
1021614.93878772490441.06121227509559
1031415.4034377281858-1.40343772818584
104119.047233083750511.95276691624949
10547.15683109806288-3.15683109806288
1061414.7389336167413-0.738933616741316
107910.5284903411398-1.52849034113982
1081415.2258845291864-1.22588452918638
109810.2494992093358-2.24949920933583
110810.6827945285774-2.68279452857739
1111111.8843900526982-0.884390052698232
1121213.1604604648793-1.16046046487934
1131111.0755371080737-0.0755371080737139
1141413.27209874146730.727901258532688
1151514.44951116323700.550488836762983
1161613.44478433372842.55521566627157
1171612.9132891474223.08671085257801
1181112.7851369918863-1.78513699188628
1191414.1877331930774-0.187733193077431
1201410.88198887241203.11801112758803
1211211.55854684190680.441453158093244
1221412.54636304376271.45363695623729
123810.8854610905415-2.88546109054152
1241314.0814384906705-1.08143849067053
1251613.97513295112772.02486704887234
1261210.61574387439471.38425612560534
1271615.47839942082480.521600579175193
1281212.7670797953264-0.767079795326434
1291111.4614935437491-0.461493543749085
13046.00799725042713-2.00799725042713
1311616.1162001466741-0.116200146674119
1321512.66424647391312.33575352608689
1331011.3605315783873-1.36053157838729
1341314.0185198189459-1.01851981894585
1351513.12704679541491.87295320458506
1361210.49901785028741.50098214971256
1371413.65622716963500.343772830364979
138710.3811344201371-3.38113442013705
1391913.90758465523035.09241534476974
1401212.9450764503607-0.945076450360723
1411211.87281216209070.127187837909294
1421313.3384896313215-0.338489631321529
1431512.41658835187712.58341164812294
14488.84468525889237-0.844685258892373
1451210.92306092814381.07693907185619
1461010.7601143818466-0.760114381846583
147811.2512297881576-3.25122978815761
1481014.6517017577584-4.65170175775841
1491513.86767000554161.13232999445839
1501614.06006083516021.93993916483983
1511313.2702490596877-0.270249059687716
1521615.08383967095680.916160329043213
15399.82245988079266-0.822459880792662
1541413.06064506842480.939354931575244
1551413.15468044162370.845319558376316
1561210.17384524096051.82615475903955


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.1130433994221450.2260867988442890.886956600577856
100.05013382791177690.1002676558235540.949866172088223
110.07267912027590160.1453582405518030.927320879724098
120.03629398921487670.07258797842975350.963706010785123
130.4557232195718910.9114464391437830.544276780428109
140.769116895654180.4617662086916400.230883104345820
150.6908433223386940.6183133553226120.309156677661306
160.6024926471737240.7950147056525520.397507352826276
170.5467760851519180.9064478296961640.453223914848082
180.4604837494362260.9209674988724520.539516250563774
190.3839618847202820.7679237694405640.616038115279718
200.6816489995600280.6367020008799430.318351000439972
210.6224804753700670.7550390492598670.377519524629933
220.5913843595604920.8172312808790170.408615640439508
230.52172208386810.9565558322638010.478277916131900
240.5054717242320790.9890565515358410.494528275767921
250.4666003742831140.9332007485662290.533399625716886
260.4057023431920110.8114046863840220.594297656807989
270.6656525385961270.6686949228077450.334347461403873
280.6092406590240310.7815186819519370.390759340975969
290.548217805706860.903564388586280.45178219429314
300.6967292435969250.606541512806150.303270756403075
310.7967796950251990.4064406099496030.203220304974801
320.7590158307003850.4819683385992300.240984169299615
330.7126324869308850.574735026138230.287367513069115
340.6708621790828510.6582756418342980.329137820917149
350.6604854681737820.6790290636524370.339514531826218
360.6620864751166070.6758270497667860.337913524883393
370.6315670397406530.7368659205186950.368432960259347
380.5814582939711880.8370834120576240.418541706028812
390.5342609186702430.9314781626595130.465739081329757
400.4937529209909910.9875058419819830.506247079009009
410.4610262260658950.922052452131790.538973773934105
420.7869745799540760.4260508400918480.213025420045924
430.9441507641276810.1116984717446380.0558492358723188
440.9501602579188950.09967948416221070.0498397420811053
450.9360855693976350.1278288612047300.0639144306023652
460.942926136853230.1141477262935400.0570738631467698
470.9410155042204510.1179689915590970.0589844957795486
480.9286144569959340.1427710860081320.0713855430040658
490.9282167447691530.1435665104616950.0717832552308476
500.9172115817422640.1655768365154710.0827884182577357
510.9110089431719230.1779821136561550.0889910568280774
520.9881368005063830.02372639898723420.0118631994936171
530.9839156407870940.03216871842581130.0160843592129057
540.9891141881810530.02177162363789300.0108858118189465
550.9916049927321370.01679001453572570.00839500726786285
560.989274817612040.02145036477592180.0107251823879609
570.985510046847790.02897990630442120.0144899531522106
580.9830998248337850.03380035033242950.0169001751662147
590.9897317601582780.02053647968344500.0102682398417225
600.9879167923304770.02416641533904560.0120832076695228
610.9883954728405830.02320905431883310.0116045271594166
620.9881815610111650.0236368779776690.0118184389888345
630.9861950841846160.02760983163076880.0138049158153844
640.9888387174343390.02232256513132230.0111612825656612
650.9879279038055050.02414419238898960.0120720961944948
660.9870471864368760.02590562712624850.0129528135631242
670.9876899085261730.02462018294765380.0123100914738269
680.9900355028826320.01992899423473560.00996449711736778
690.9893371327934220.02132573441315510.0106628672065776
700.9862189658359140.02756206832817190.0137810341640860
710.9864901484033160.02701970319336890.0135098515966845
720.982042957120470.03591408575905970.0179570428795298
730.9790989610863860.04180207782722850.0209010389136143
740.986222139464540.02755572107091920.0137778605354596
750.9820889389724890.03582212205502310.0179110610275116
760.9793754198191980.04124916036160450.0206245801808022
770.9730638967713460.05387220645730770.0269361032286539
780.964812546686530.07037490662694180.0351874533134709
790.9767971775259170.04640564494816590.0232028224740829
800.9758336570371320.04833268592573540.0241663429628677
810.9796966465752120.04060670684957580.0203033534247879
820.9789508435858160.0420983128283690.0210491564141845
830.9721156473077480.05576870538450460.0278843526922523
840.9661591855420550.06768162891589010.0338408144579451
850.9887493606561960.02250127868760740.0112506393438037
860.9850009684572570.02999806308548620.0149990315427431
870.9800846270988810.03983074580223710.0199153729011185
880.9741862017701840.05162759645963250.0258137982298163
890.9685426880007010.06291462399859730.0314573119992987
900.9597027456007290.08059450879854170.0402972543992709
910.9518277578170310.0963444843659380.048172242182969
920.9728773979058950.05424520418821060.0271226020941053
930.9648325104257250.0703349791485490.0351674895742745
940.9600134843719680.07997303125606360.0399865156280318
950.949843462806240.1003130743875210.0501565371937606
960.9377078963427230.1245842073145530.0622921036572765
970.9326663289990020.1346673420019950.0673336710009975
980.916412566796770.1671748664064610.0835874332032303
990.9111653818034430.1776692363931140.0888346181965571
1000.8911113366458350.2177773267083310.108888663354165
1010.8669461625978430.2661076748043150.133053837402158
1020.8438511403902870.3122977192194250.156148859609713
1030.8564073990979180.2871852018041640.143592600902082
1040.8970960783838270.2058078432323460.102903921616173
1050.899191487777780.2016170244444390.100808512222220
1060.8769145014821860.2461709970356290.123085498517814
1070.8562531297270540.2874937405458920.143746870272946
1080.851737827603690.2965243447926210.148262172396310
1090.8492406760226680.3015186479546640.150759323977332
1100.8738840206992920.2522319586014170.126115979300708
1110.8620991218746370.2758017562507260.137900878125363
1120.9024246962304320.1951506075391360.097575303769568
1130.8765287222660060.2469425554679880.123471277733994
1140.8486910473382820.3026179053234360.151308952661718
1150.8139301874578690.3721396250842630.186069812542131
1160.8128092568573170.3743814862853660.187190743142683
1170.8253832241903190.3492335516193620.174616775809681
1180.8149325031828430.3701349936343140.185067496817157
1190.773355081836850.4532898363262990.226644918163149
1200.8345619402205520.3308761195588960.165438059779448
1210.8046057280695740.3907885438608520.195394271930426
1220.7774115026583020.4451769946833960.222588497341698
1230.7757768662253660.4484462675492670.224223133774634
1240.7342428456112490.5315143087775030.265757154388751
1250.7303588052703450.5392823894593110.269641194729655
1260.7137838632860440.5724322734279120.286216136713956
1270.6581854586856680.6836290826286650.341814541314332
1280.6270213796300450.7459572407399110.372978620369955
1290.644154788415310.711690423169380.35584521158469
1300.6387987303957710.7224025392084570.361201269604229
1310.5730707520884020.8538584958231960.426929247911598
1320.5600256200099990.8799487599800030.439974379990001
1330.5277134776274870.9445730447450260.472286522372513
1340.4601172862362330.9202345724724660.539882713763767
1350.433758222992540.867516445985080.56624177700746
1360.4283149547483770.8566299094967530.571685045251623
1370.3559294526942620.7118589053885230.644070547305738
1380.4400521787412330.8801043574824670.559947821258767
1390.7891160615449870.4217678769100260.210883938455013
1400.8113383097895780.3773233804208430.188661690210422
1410.7683123913540730.4633752172918540.231687608645927
1420.684830836244760.6303383275104790.315169163755239
1430.6422633627484810.7154732745030380.357736637251519
1440.5279450142397360.9441099715205270.472054985760264
1450.5080457681899910.9839084636200180.491954231810009
1460.6727966931690960.6544066136618080.327203306830904
1470.5714480724847210.8571038550305590.428551927515279


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level320.230215827338130NOK
10% type I error level450.323741007194245NOK