Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 1.04499634277405 + 0.119499232591395FindingFriends[t] + 0.241564101757528KnowingPeople[t] + 0.378018708974303Liked[t] + 0.607491789609728Celebrity[t] -0.0489828130821502B[t] + 0.174147430517712`2B`[t] + 0.508543630098061`3B`[t] -0.136999283939151Month[t] -0.00188085357862906t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.044996342774053.9280530.2660.7905880.395294
FindingFriends0.1194992325913950.0968751.23350.2193570.109678
KnowingPeople0.2415641017575280.0619263.90080.0001467.3e-05
Liked0.3780187089743030.0980763.85430.0001738.7e-05
Celebrity0.6074917896097280.1571963.86450.0001678.3e-05
B-0.04898281308215020.224347-0.21830.8274730.413736
`2B`0.1741474305177120.2708020.64310.5211810.26059
`3B`0.5085436300980610.3186461.5960.1126610.056331
Month-0.1369992839391510.40264-0.34030.7341560.367078
t-0.001880853578629060.00416-0.45220.6518250.325912


Multiple Linear Regression - Regression Statistics
Multiple R0.717470503794907
R-squared0.514763923815717
Adjusted R-squared0.484852110900247
F-TEST (value)17.2093856454116
F-TEST (DF numerator)9
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.10772912266704
Sum Squared Residuals648.608219962662


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.49916793583021.50083206416975
21211.89811000877140.101889991228633
3911.2935847722229-2.29358477222292
41012.0768505287867-2.07685052878672
51313.1972017006551-0.197201700655095
61615.23199391025050.768006089749507
71412.93235488054021.06764511945981
81613.92164991038982.07835008961024
91010.9960803593227-0.99608035932271
10810.7774869517918-2.77748695179182
111212.2534224487608-0.253422448760777
121515.1206012967996-0.120601296799615
131410.91343252661423.08656747338582
141412.82942739465961.17057260534035
151213.0880808678829-1.08808086788291
161211.19028997970290.809710020297104
17109.597705554859050.402294445140952
1846.79756754087376-2.79756754087376
191415.2815827522669-1.28158275226692
201514.27088831485400.72911168514603
211613.38860645723212.61139354276794
221210.76005023718971.23994976281025
231212.1554714328047-0.155471432804706
241211.33224883137040.667751168629633
251211.54274803474340.457251965256588
261212.3012178940586-0.301217894058612
27118.469625337886922.53037466211308
281113.1100905284140-2.11009052841395
291112.1549938067566-1.15499380675655
301111.8038737203049-0.803873720304907
311111.4519360188544-0.451936018854354
32118.64748407431622.3525159256838
331514.36904676422030.6309532357797
341514.86238513527880.137614864721171
35914.6068491588206-5.60684915882057
361610.83302474772725.16697525227284
37139.18087166625343.81912833374659
38910.3709164058374-1.37091640583742
391614.23339805665391.76660194334615
401212.9016318251215-0.901631825121454
41159.015969820450735.98403017954927
4259.81670811647123-4.81670811647123
431111.4096349362273-0.409634936227332
441713.24724842329033.75275157670973
4599.10604536654858-0.106045366548579
461314.7177500231691-1.71775002316915
471614.22037218787721.77962781212282
481613.82095161412412.17904838587587
491414.3483495841271-0.34834958412712
501613.54359836675262.45640163324742
511112.8177075336821-1.81770753368211
521111.8786166688209-0.878616668820855
531113.7454798740905-2.74547987409047
541212.2263929114652-0.226392911465156
551213.8219110758755-1.82191107587552
561212.0787466070131-0.0787466070131064
571413.71586981200110.284130187998901
581010.8938292706448-0.89382927064478
5999.36948662402635-0.369486624026354
601212.2721352488986-0.272135248898609
611010.0150315755398-0.0150315755398049
621412.98177323883541.01822676116463
6389.91845471742309-1.91845471742309
641614.48582154061041.51417845938958
651415.7326316930428-1.73263169304282
661410.73031961291923.26968038708076
671211.22595670090630.774043299093689
681413.37328839512050.626711604879521
69711.1119568444562-4.11195684445617
701913.91602744261115.08397255738893
711512.83561761702982.16438238297024
72811.2358065245671-3.23580652456709
731014.2688825796494-4.26888257964936
741312.91576686209370.0842331379063024
751311.34304480271321.65695519728685
761010.4753560056011-0.475356005601079
77129.15081644168752.8491835583125
781517.4307739990282-2.43077399902825
79711.1523826850282-4.15238268502825
801414.2927376671468-0.292737667146837
81108.497229457468411.50277054253159
8269.778959586541-3.778959586541
831111.3135254367911-0.313525436791105
84129.367123547272522.63287645272748
851414.2858637651183-0.285863765118301
861213.3938248740130-1.39382487401296
871414.3869799035657-0.386979903565727
881110.12953395716970.870466042830313
89109.312802406856970.687197593143033
901313.4068525327782-0.406852532778172
91810.3371693538776-2.33716935387761
92911.8039272023981-2.80392720239807
93612.0021952766312-6.0021952766312
941213.1287885999813-1.12878859998133
951412.14184792466331.85815207533665
961110.43489554037760.565104459622418
97810.5675183131860-2.56751831318605
9879.21588333435467-2.21588333435467
99910.4441986498397-1.44419864983974
1001412.08912622853221.91087377146778
1011310.18366025108072.81633974891929
1021512.61667450663132.38332549336872
10355.22559837218436-0.225598372184355
1041512.15468487030172.84531512969831
1051312.17768758680340.822312413196625
1061211.52366237234150.476337627658545
10767.68133413696577-1.68133413696577
10879.56300248642058-2.56300248642058
109138.470501639717174.52949836028283
1101614.8198781617721.18012183822800
1111013.2362850097808-3.23628500978083
1121615.06410619265020.935893807349793
1131513.08167895735621.91832104264385
11488.30768738998187-0.307687389981865
1151112.5043362098399-1.50433620983993
1161313.1382002746666-0.138200274666613
1171615.12778398084100.872216019158957
118118.592594201301022.40740579869898
1191414.3285466292558-0.32854662925576
120910.1143989090423-1.11439890904234
121810.1727908583271-2.17279085832707
122811.0159195208167-3.01591952081667
1231111.7691753077400-0.769175307740025
1241213.1879187906606-1.18791879066064
1251110.92809901144900.0719009885509566
1261414.5188061294066-0.518806129406621
1271112.5720705896542-1.57207058965423
1281412.18745488768411.81254511231592
1291314.6398066696386-1.63980666963858
1301210.64358881349151.35641118650845
13145.77603215019458-1.77603215019458
1321512.78391099937502.21608900062504
1331011.2696200846096-1.26962008460959
1341313.7567513171914-0.756751317191428
1351514.07487692514250.925123074857494
1361213.1336737189485-1.13367371894854
1371313.1704274421111-0.170427442111091
13887.724158465305680.275841534694315
1391010.3945396148313-0.394539614831348
1401513.52841385229891.47158614770114
1411614.27277811247531.72722188752472
1421614.76611648353381.23388351646619
1431412.81503436091581.18496563908422
1441412.91543306405431.08456693594569
1451210.51493016471281.48506983528721
1461513.10381478894741.89618521105256
1471312.83683771782230.163162282177732
1481613.03023882015482.96976117984522
1491413.38942130092510.61057869907493
15089.84763560704182-1.84763560704182
1511613.55980702428552.44019297571448
1521615.74694388313330.25305611686666
1531213.0038791776363-1.00387917763625
1541112.1176937259202-1.11769372592018
1551615.74130132239750.258698677602547
15699.83635048557004-0.836350485570044


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.5652350178937870.8695299642124260.434764982106213
140.3958443088041260.7916886176082530.604155691195874
150.2695099681347230.5390199362694460.730490031865277
160.1866369674411240.3732739348822480.813363032558876
170.1202391393883440.2404782787766890.879760860611656
180.2170170241590840.4340340483181670.782982975840916
190.3642432927011710.7284865854023410.63575670729883
200.2750050187130940.5500100374261870.724994981286906
210.2830881042085210.5661762084170410.71691189579148
220.2108870105713000.4217740211426010.7891129894287
230.1766944787215400.3533889574430810.82330552127846
240.1256549829147810.2513099658295610.87434501708522
250.08664178288384090.1732835657676820.913358217116159
260.07658123655360450.1531624731072090.923418763446396
270.06710153887004690.1342030777400940.932898461129953
280.1724156868602420.3448313737204830.827584313139758
290.1444939221843170.2889878443686330.855506077815683
300.11483698477960.22967396955920.8851630152204
310.0847809535732150.169561907146430.915219046426785
320.07287112601724740.1457422520344950.927128873982753
330.05180763821153380.1036152764230680.948192361788466
340.03792182297567940.07584364595135880.96207817702432
350.2251574135599470.4503148271198940.774842586440053
360.4461309163083080.8922618326166170.553869083691692
370.5778616877575120.8442766244849770.422138312242488
380.5247598800173550.950480239965290.475240119982645
390.4958802109014190.9917604218028380.504119789098581
400.4678112632224680.9356225264449360.532188736777532
410.6990230712026140.6019538575947710.300976928797386
420.858815487243760.282369025512480.14118451275624
430.8271550144032860.3456899711934280.172844985596714
440.8635799939660950.2728400120678090.136420006033905
450.8371863358444020.3256273283111950.162813664155598
460.8362284039390240.3275431921219530.163771596060976
470.8143004148058830.3713991703882330.185699585194117
480.8244099017550580.3511801964898830.175590098244942
490.7893521484790730.4212957030418540.210647851520927
500.7958030661184760.4083938677630490.204196933881524
510.7722482333135210.4555035333729580.227751766686479
520.7592890564282590.4814218871434820.240710943571741
530.8659444633488770.2681110733022460.134055536651123
540.8361709755231480.3276580489537050.163829024476852
550.8271987617765060.3456024764469890.172801238223494
560.7961078180274850.4077843639450300.203892181972515
570.7594858279383050.481028344123390.240514172061695
580.7191174288080910.5617651423838180.280882571191909
590.6853803880948970.6292392238102070.314619611905104
600.6643864537570870.6712270924858260.335613546242913
610.6185215286830740.7629569426338530.381478471316927
620.5853349576214230.8293300847571550.414665042378577
630.5585494112235180.8829011775529650.441450588776482
640.5595711236060910.8808577527878190.440428876393909
650.5475531397292460.9048937205415090.452446860270754
660.6329817735288190.7340364529423630.367018226471181
670.5959829545743390.8080340908513220.404017045425661
680.5614067588642470.8771864822715060.438593241135753
690.6971394199481960.6057211601036090.302860580051804
700.8813087962970540.2373824074058920.118691203702946
710.892818244579680.2143635108406420.107181755420321
720.9076733653531690.1846532692936620.092326634646831
730.948426166920060.1031476661598780.0515738330799391
740.9361565955069570.1276868089860860.0638434044930429
750.9290241534020110.1419516931959770.0709758465979886
760.9114996921399890.1770006157200220.0885003078600112
770.9328447570867610.1343104858264770.0671552429132387
780.9349125949264110.1301748101471780.0650874050735888
790.971123681288190.05775263742361880.0288763187118094
800.962142946066610.0757141078667810.0378570539333905
810.9594313573635030.08113728527299430.0405686426364971
820.9774806159062630.04503876818747320.0225193840937366
830.971217521018390.05756495796322040.0287824789816102
840.9771422693229260.04571546135414840.0228577306770742
850.9697949881195060.06041002376098890.0302050118804944
860.9631847755667670.07363044886646640.0368152244332332
870.9530744498872890.0938511002254220.046925550112711
880.9459700041059750.1080599917880500.0540299958940252
890.9504682599157450.09906348016851050.0495317400842552
900.9373629049542420.1252741900915160.0626370950457579
910.9348604912144440.1302790175711110.0651395087855555
920.9540560486926240.09188790261475120.0459439513073756
930.9960636147665980.007872770466803920.00393638523340196
940.9944025292079580.01119494158408410.00559747079204203
950.9935805665140580.01283886697188480.00641943348594242
960.9914058202051390.01718835958972270.00859417979486136
970.9914305636886120.01713887262277680.00856943631138841
980.9924870527849440.01502589443011140.00751294721505569
990.9894697292720890.02106054145582200.0105302707279110
1000.9883058069830680.02338838603386370.0116941930169318
1010.9923255202242630.01534895955147400.00767447977573699
1020.9927270052297160.01454598954056820.00727299477028412
1030.9898969715692950.02020605686140960.0101030284307048
1040.9928251648717350.01434967025653070.00717483512826536
1050.9899494082745730.02010118345085460.0100505917254273
1060.9872666177464580.0254667645070840.012733382253542
1070.9852816661464690.02943666770706260.0147183338535313
1080.9897177397141850.02056452057162970.0102822602858148
1090.9989839938287670.002032012342466770.00101600617123339
1100.9986715678116050.002656864376789380.00132843218839469
1110.9995775553514220.0008448892971559850.000422444648577992
1120.9993048291287390.001390341742522940.000695170871261468
1130.9992934582974520.001413083405095460.000706541702547731
1140.9988433619189880.0023132761620240.001156638081012
1150.9982662994649720.003467401070055550.00173370053502778
1160.997134693425850.005730613148298850.00286530657414942
1170.995571155669910.0088576886601810.0044288443300905
1180.999285753840140.001428492319720000.000714246159860001
1190.998756898382330.002486203235338800.00124310161766940
1200.9979066340330360.004186731933927480.00209336596696374
1210.997375158216690.005249683566618130.00262484178330906
1220.9966283230390090.00674335392198280.0033716769609914
1230.9947249008402540.01055019831949230.00527509915974613
1240.9946227046848370.01075459063032610.00537729531516303
1250.9911118586567290.01777628268654290.00888814134327143
1260.987067373375360.02586525324928020.0129326266246401
1270.9836509421863660.03269811562726810.0163490578136341
1280.975891995263840.04821600947232180.0241080047361609
1290.987690671533920.02461865693216170.0123093284660809
1300.9897892192266070.02042156154678520.0102107807733926
1310.9848997658581250.03020046828375030.0151002341418751
1320.981996106931670.03600778613666130.0180038930683307
1330.974884054550830.05023189089834120.0251159454491706
1340.962213970710840.07557205857831980.0377860292891599
1350.9378786285014610.1242427429970770.0621213714985387
1360.9538394773033850.09232104539323050.0461605226966152
1370.9721441799188520.05571164016229610.0278558200811481
1380.9475841741985940.1048316516028110.0524158258014057
1390.904257992527850.1914840149443010.0957420074721503
1400.8538580446191890.2922839107616230.146141955380811
1410.7731204477397170.4537591045205650.226879552260283
1420.7099513496636820.5800973006726370.290048650336318
1430.5544296499310780.8911407001378440.445570350068922


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level150.114503816793893NOK
5% type I error level420.320610687022901NOK
10% type I error level560.427480916030534NOK