Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 1.04499634277411 + 0.119499232591394FindingFriends[t] + 0.241564101757528KnowingPeople[t] + 0.378018708974302Liked[t] + 0.607491789609728Celebrity[t] -0.0489828130821504B[t] + 0.174147430517712`2B`[t] + 0.508543630098061`3B`[t] -0.136999283939156Month[t] -0.00188085357862904t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.044996342774113.9280530.2660.7905880.395294
FindingFriends0.1194992325913940.0968751.23350.2193570.109678
KnowingPeople0.2415641017575280.0619263.90080.0001467.3e-05
Liked0.3780187089743020.0980763.85430.0001738.7e-05
Celebrity0.6074917896097280.1571963.86450.0001678.3e-05
B-0.04898281308215040.224347-0.21830.8274730.413736
`2B`0.1741474305177120.2708020.64310.5211810.26059
`3B`0.5085436300980610.3186461.5960.1126610.056331
Month-0.1369992839391560.40264-0.34030.7341560.367078
t-0.001880853578629040.00416-0.45220.6518250.325912


Multiple Linear Regression - Regression Statistics
Multiple R0.717470503794906
R-squared0.514763923815717
Adjusted R-squared0.484852110900247
F-TEST (value)17.2093856454115
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
21211.89811000877140.10188999122863
3911.2935847722229-2.29358477222292
41012.0768505287867-2.07685052878672
51313.1972017006551-0.197201700655100
61615.23199391025050.768006089749506
71412.93235488054021.06764511945981
81613.92164991038982.07835008961024
91010.9960803593227-0.996080359322713
10810.7774869517918-2.77748695179182
111212.2534224487608-0.253422448760775
121515.1206012967996-0.120601296799614
131410.91343252661423.08656747338582
141412.82942739465961.17057260534035
151213.0880808678829-1.08808086788290
161211.19028997970290.809710020297105
17109.597705554859050.402294445140954
1846.79756754087376-2.79756754087376
191415.2815827522669-1.28158275226692
201514.27088831485400.729111685146033
211613.38860645723212.61139354276794
221210.76005023718971.23994976281026
231212.1554714328047-0.155471432804704
241211.33224883137040.667751168629636
251211.54274803474340.457251965256587
261212.3012178940586-0.301217894058613
27118.469625337886922.53037466211308
281113.1100905284140-2.11009052841396
291112.1549938067566-1.15499380675656
301111.8038737203049-0.803873720304908
311111.4519360188544-0.451936018854355
32118.64748407431622.35251592568380
331514.36904676422030.630953235779697
341514.86238513527880.137614864721169
35914.6068491588206-5.60684915882057
361610.83302474772725.16697525227284
37139.180871666253413.81912833374659
38910.3709164058374-1.37091640583742
391614.23339805665391.76660194334614
401212.9016318251215-0.901631825121455
41159.015969820450745.98403017954927
4259.81670811647123-4.81670811647123
431111.4096349362273-0.409634936227334
441713.24724842329033.75275157670972
4599.10604536654858-0.106045366548582
461314.7177500231691-1.71775002316915
471614.22037218787721.77962781212282
481613.82095161412412.17904838587587
491414.3483495841271-0.348349584127119
501613.54359836675262.45640163324742
511112.8177075336821-1.81770753368211
521111.8786166688209-0.878616668820854
531113.7454798740905-2.74547987409047
541212.2263929114652-0.226392911465155
551213.8219110758755-1.82191107587552
561212.0787466070131-0.078746607013105
571413.71586981200110.284130187998903
581010.8938292706448-0.89382927064478
5999.36948662402635-0.369486624026353
601212.2721352488986-0.272135248898607
611010.0150315755398-0.015031575539804
621412.98177323883541.01822676116463
6389.91845471742309-1.91845471742309
641614.48582154061041.51417845938958
651415.7326316930428-1.73263169304281
661410.73031961291923.26968038708076
671211.22595670090630.774043299093691
681413.37328839512050.626711604879522
69711.1119568444562-4.11195684445617
701913.91602744261115.08397255738893
711512.83561761702982.16438238297025
72811.2358065245671-3.23580652456708
731014.2688825796494-4.26888257964936
741312.91576686209370.0842331379063027
751311.34304480271321.65695519728685
761010.4753560056011-0.475356005601083
77129.150816441687512.84918355831249
781517.4307739990282-2.43077399902825
79711.1523826850283-4.15238268502825
801414.2927376671468-0.292737667146839
81108.497229457468421.50277054253158
8269.778959586541-3.77895958654100
831111.3135254367911-0.31352543679111
84129.367123547272532.63287645272747
851414.2858637651183-0.285863765118304
861213.3938248740130-1.39382487401296
871414.3869799035657-0.386979903565729
881110.12953395716970.870466042830311
89109.312802406856970.687197593143026
901313.4068525327782-0.406852532778176
91810.3371693538776-2.33716935387761
92911.8039272023981-2.80392720239807
93612.0021952766312-6.00219527663121
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
10355.22559837218436-0.225598372184357
1041512.15468487030172.84531512969832
1051312.17768758680340.822312413196627
1061211.52366237234150.476337627658545
10767.68133413696577-1.68133413696577
10879.56300248642058-2.56300248642058
109138.470501639717164.52949836028284
1101614.8198781617721.180121838228
1111013.2362850097808-3.23628500978083
1121615.06410619265020.935893807349795
1131513.08167895735621.91832104264385
11488.30768738998187-0.307687389981865
1151112.5043362098399-1.50433620983993
1161313.1382002746666-0.138200274666611
1171615.12778398084100.872216019158957
118118.592594201301022.40740579869898
1191414.3285466292558-0.328546629255758
120910.1143989090423-1.11439890904234
121810.1727908583271-2.17279085832707
122811.0159195208167-3.01591952081667
1231111.7691753077400-0.769175307740024
1241213.1879187906606-1.18791879066065
1251110.92809901144900.0719009885509587
1261414.5188061294066-0.518806129406618
1271112.5720705896542-1.57207058965423
1281412.18745488768411.81254511231592
1291314.6398066696386-1.63980666963858
1301210.64358881349151.35641118650846
13145.77603215019459-1.77603215019459
1321512.78391099937502.21608900062505
1331011.2696200846096-1.26962008460959
1341313.7567513171914-0.756751317191425
1351514.07487692514250.925123074857496
1361213.1336737189485-1.13367371894854
1371313.1704274421111-0.170427442111091
13887.724158465305690.275841534694312
1391010.3945396148313-0.394539614831347
1401513.52841385229891.47158614770114
1411614.27277811247531.72722188752472
1421614.76611648353381.23388351646619
1431412.81503436091581.18496563908423
1441412.91543306405431.08456693594569
1451210.51493016471281.48506983528721
1461513.10381478894741.89618521105255
1471312.83683771782230.163162282177728
1481613.03023882015482.96976117984522
1491413.38942130092510.61057869907493
15089.84763560704182-1.84763560704182
1511613.55980702428552.44019297571448
1521615.74694388313330.253056116866661
1531213.0038791776363-1.00387917763625
1541112.1176937259202-1.11769372592018
1551615.74130132239750.258698677602548
15699.83635048557004-0.836350485570045


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.5652350178937870.8695299642124250.434764982106213
140.3958443088041280.7916886176082560.604155691195872
150.2695099681347230.5390199362694450.730490031865277
160.1866369674411240.3732739348822480.813363032558876
170.1202391393883440.2404782787766890.879760860611656
180.2170170241590830.4340340483181650.782982975840917
190.3642432927011710.7284865854023420.635756707298829
200.2750050187130930.5500100374261850.724994981286907
210.2830881042085190.5661762084170380.716911895791481
220.2108870105713010.4217740211426010.7891129894287
230.1766944787215410.3533889574430830.823305521278459
240.1256549829147800.2513099658295600.87434501708522
250.08664178288384180.1732835657676840.913358217116158
260.07658123655360470.1531624731072090.923418763446395
270.0671015388700470.1342030777400940.932898461129953
280.1724156868602410.3448313737204820.827584313139759
290.1444939221843160.2889878443686330.855506077815684
300.11483698477960.22967396955920.8851630152204
310.08478095357321460.1695619071464290.915219046426785
320.07287112601724750.1457422520344950.927128873982753
330.05180763821153380.1036152764230680.948192361788466
340.03792182297567920.07584364595135830.962078177024321
350.2251574135599480.4503148271198960.774842586440052
360.446130916308310.892261832616620.55386908369169
370.5778616877575120.8442766244849750.422138312242488
380.5247598800173550.950480239965290.475240119982645
390.4958802109014190.9917604218028380.504119789098581
400.467811263222470.935622526444940.53218873677753
410.6990230712026160.6019538575947680.300976928797384
420.858815487243760.282369025512480.14118451275624
430.8271550144032850.345689971193430.172844985596715
440.8635799939660960.2728400120678080.136420006033904
450.8371863358444030.3256273283111940.162813664155597
460.8362284039390230.3275431921219540.163771596060977
470.814300414805880.3713991703882380.185699585194119
480.8244099017550580.3511801964898840.175590098244942
490.7893521484790740.4212957030418510.210647851520926
500.7958030661184760.4083938677630470.204196933881524
510.772248233313520.4555035333729590.227751766686479
520.759289056428260.481421887143480.24071094357174
530.8659444633488770.2681110733022470.134055536651123
540.8361709755231480.3276580489537050.163829024476852
550.8271987617765060.3456024764469890.172801238223494
560.7961078180274850.4077843639450290.203892181972515
570.7594858279383050.4810283441233910.240514172061695
580.719117428808090.5617651423838190.280882571191910
590.6853803880948980.6292392238102030.314619611905102
600.6643864537570870.6712270924858270.335613546242913
610.6185215286830770.7629569426338450.381478471316923
620.5853349576214230.8293300847571550.414665042378577
630.5585494112235170.8829011775529660.441450588776483
640.5595711236060920.8808577527878170.440428876393908
650.5475531397292450.904893720541510.452446860270755
660.6329817735288180.7340364529423650.367018226471182
670.5959829545743420.8080340908513160.404017045425658
680.5614067588642460.8771864822715090.438593241135754
690.6971394199481960.6057211601036080.302860580051804
700.8813087962970560.2373824074058890.118691203702944
710.8928182445796780.2143635108406450.107181755420322
720.907673365353170.1846532692936590.0923266346468293
730.948426166920060.1031476661598780.0515738330799391
740.9361565955069570.1276868089860850.0638434044930427
750.9290241534020110.1419516931959790.0709758465979893
760.9114996921399890.1770006157200230.0885003078600114
770.9328447570867610.1343104858264780.0671552429132392
780.9349125949264110.1301748101471780.0650874050735889
790.971123681288190.05775263742361940.0288763187118097
800.962142946066610.07571410786678120.0378570539333906
810.9594313573635020.08113728527299510.0405686426364976
820.9774806159062630.04503876818747370.0225193840937368
830.971217521018390.0575649579632190.0287824789816095
840.9771422693229260.04571546135414840.0228577306770742
850.9697949881195060.06041002376098890.0302050118804944
860.9631847755667660.07363044886646760.0368152244332338
870.9530744498872890.09385110022542190.0469255501127109
880.9459700041059750.1080599917880500.0540299958940251
890.9504682599157450.09906348016851030.0495317400842551
900.9373629049542420.1252741900915170.0626370950457583
910.9348604912144440.1302790175711120.065139508785556
920.9540560486926250.09188790261475080.0459439513073754
930.9960636147665980.007872770466803920.00393638523340196
940.9944025292079580.01119494158408380.00559747079204192
950.9935805665140580.01283886697188480.00641943348594238
960.9914058202051380.01718835958972320.0085941797948616
970.9914305636886120.01713887262277680.00856943631138839
980.9924870527849440.01502589443011130.00751294721505564
990.9894697292720890.02106054145582210.0105302707279111
1000.9883058069830680.02338838603386480.0116941930169324
1010.9923255202242630.01534895955147390.00767447977573696
1020.9927270052297160.01454598954056830.00727299477028416
1030.9898969715692950.02020605686141030.0101030284307051
1040.9928251648717350.01434967025653070.00717483512826537
1050.9899494082745730.02010118345085460.0100505917254273
1060.9872666177464580.02546676450708420.0127333822535421
1070.985281666146470.02943666770706140.0147183338535307
1080.9897177397141850.02056452057162990.0102822602858150
1090.9989839938287670.002032012342466830.00101600617123342
1100.9986715678116050.002656864376789470.00132843218839473
1110.9995775553514220.0008448892971559760.000422444648577988
1120.9993048291287390.001390341742523010.000695170871261506
1130.9992934582974520.001413083405095460.000706541702547729
1140.9988433619189880.002313276162024000.00115663808101200
1150.9982662994649720.003467401070055580.00173370053502779
1160.997134693425850.005730613148298910.00286530657414946
1170.995571155669910.008857688660180590.00442884433009030
1180.999285753840140.001428492319720000.000714246159859999
1190.998756898382330.002486203235338790.00124310161766940
1200.9979066340330360.004186731933927490.00209336596696375
1210.997375158216690.005249683566618170.00262484178330908
1220.9966283230390090.00674335392198270.00337167696099135
1230.9947249008402540.01055019831949250.00527509915974623
1240.9946227046848370.01075459063032610.00537729531516306
1250.9911118586567290.01777628268654280.00888814134327138
1260.987067373375360.02586525324928000.0129326266246400
1270.9836509421863660.0326981156272680.016349057813634
1280.975891995263840.0482160094723220.024108004736161
1290.9876906715339190.02461865693216190.0123093284660809
1300.9897892192266070.02042156154678520.0102107807733926
1310.9848997658581250.03020046828375060.0151002341418753
1320.9819961069316690.03600778613666150.0180038930683308
1330.974884054550830.05023189089834130.0251159454491706
1340.962213970710840.07557205857831990.0377860292891600
1350.9378786285014610.1242427429970780.0621213714985389
1360.9538394773033850.09232104539322980.0461605226966149
1370.9721441799188520.05571164016229580.0278558200811479
1380.9475841741985940.1048316516028120.0524158258014058
1390.904257992527850.1914840149443010.0957420074721503
1400.8538580446191890.2922839107616220.146141955380811
1410.7731204477397170.4537591045205660.226879552260283
1420.7099513496636820.5800973006726360.290048650336318
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