Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 1.65207643482502 + 0.118875597665322FindingFriends[t] + 0.240875196872858KnowingPeople[t] + 0.379030919193094Liked[t] + 0.607799529613716Celebrity[t] -0.0468917198450873B[t] + 0.165306614305527`2B`[t] + 0.499352685427422`3B`[t] -0.214487341055989Month[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.652076434825023.681470.44880.654270.327135
FindingFriends0.1188755976653220.0966031.23060.2204530.110226
KnowingPeople0.2408751968728580.061743.90150.0001457.3e-05
Liked0.3790309191930940.0977853.87620.0001598e-05
Celebrity0.6077995296137160.1567693.8770.0001597.9e-05
B-0.04689171984508730.223691-0.20960.8342490.417125
`2B`0.1653066143055270.2693630.61370.5403660.270183
`3B`0.4993526854274220.3171351.57460.1175040.058752
Month-0.2144873410559890.363362-0.59030.5559060.277953


Multiple Linear Regression - Regression Statistics
Multiple R0.716996814212143
R-squared0.514084431590363
Adjusted R-squared0.487640046915008
F-TEST (value)19.4402115194413
F-TEST (DF numerator)8
F-TEST (DF denominator)147
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.10201796085084
Sum Squared Residuals649.51648763771


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.41845714953031.58154285046974
21211.78998559573370.210014404266271
3911.1814371266787-2.1814371266787
41011.9929929109058-1.99299291090584
51313.1170535469146-0.117053546914642
61615.15552478414580.844475215854184
71412.85377422384471.14622577615535
81613.84014396944662.15985603055342
91010.9267726488618-0.926772648861791
10810.6248810849342-2.62488108493419
111212.1065952325374-0.106595232537396
121514.97582257648270.0241774235173207
131410.76364937269563.23635062730444
141412.66412264291891.33587735708108
151212.9213305585814-0.921330558581422
161211.05183044257080.948169557429184
17109.461250000810750.538749999189246
1846.66536803956815-2.66536803956815
191415.1411291907882-1.14112919078821
201514.14330397310880.856696026891195
211613.25919299885462.74080700114538
221210.62549365037531.37450634962467
231212.0274378165145-0.0274378165144826
241211.20041491837010.799585081629921
251211.49405967544900.505940324551018
261212.2580812806832-0.258081280683172
27118.411962278246122.58803772175388
281113.0764098301540-2.07640983015398
291112.1114078053663-1.11140780536628
301111.7646891323986-0.76468913239859
311111.4040974664287-0.404097466428718
32118.620698131156682.37930186884333
331514.34163519105210.658364808947906
341514.83549217125000.164507828749955
35914.5825103879250-5.58251038792495
361610.81283009944605.18716990055398
37139.130859302995293.86914069700471
38910.3514712126402-1.35147121264023
391614.21558605518411.78441394481591
401212.8892104716123-0.889210471612268
41158.987390799493336.01260920050667
4259.8035955244421-4.80359552444209
431111.3883215115428-0.388321511542827
441713.22471019842533.77528980157470
4599.07818028327066-0.078180283270659
461314.7134925720425-1.71349257204251
471614.14237843799061.85762156200945
481613.74094339260032.25905660739967
491414.2538022830014-0.25380228300142
501613.47245660053732.5275433994627
511112.7420063573413-1.74200635734129
521111.809892280957-0.809892280957004
531113.6830321704420-2.68303217044197
541212.1606604905852-0.160660490585163
551213.7388048564222-1.73880485642224
561212.0122072285200-0.0122072285200334
571413.65750404270260.342495957297375
581010.8391714052153-0.83917140521532
5999.2939567125634-0.293956712563391
601212.2127734949162-0.212773494916232
61109.962280519211380.0377194807886161
621412.93487845208411.06512154791595
6389.87703212260633-1.87703212260633
641614.44000692468921.55999307531080
651415.6888017417311-1.68880174173112
661410.68490610983003.31509389017004
671211.18281262668840.817187373311627
681413.33430087821710.665699121782935
69711.0546249546423-4.05462495464228
701913.87909911492065.12090088507943
711512.80165577801342.19834422198663
72811.2061422880038-3.20614228800375
731014.2357259079165-4.23572590791653
741312.88733561786420.112664382135799
751311.39012642954171.60987357045832
761010.5275360698955-0.527536069895532
77129.206093534573262.79390646542674
781517.4706883670544-2.4706883670544
79711.2091285240368-4.20912852403683
801414.3537417775043-0.353741777504329
81108.557924708942371.44207529105762
8269.81815439332957-3.81815439332957
831111.3779732930419-0.377973293041874
84129.434862144993882.56513785500612
851414.3342299884452-0.334229988445212
861213.4646977550006-1.46469775500058
871414.4605107887174-0.460510788717415
881110.19512657851250.804873421487478
89109.383558010350.616441989650003
901313.4751265084796-0.475126508479611
91810.4176430571402-2.41764305714023
92911.8862238996928-2.88622389969276
93612.0063486451522-6.00634864515223
941213.1214567265049-1.12145672650494
951412.15036295084031.84963704915973
961110.44715491449930.552845085500686
97810.5771103800184-2.57711038001842
9879.23248139039013-2.23248139039013
99910.4396691769144-1.43966917691436
1001412.10301052779031.8969894722097
1011310.20720525274472.79279474725529
1021512.63928688278872.36071311721134
10355.24571583426397-0.24571583426397
1041512.17811840715272.82188159284725
1051312.19679396748050.803206032519526
1061211.55598496251370.44401503748634
10767.71700882799252-1.71700882799252
10879.59940572313099-2.59940572313099
109138.509855799771564.49014420022844
1101614.85336227407031.14663772592974
1111013.2784731235095-3.27847312350953
1121615.10680476060020.893195239399764
1131513.12416127807661.87583872192341
11488.35241995279641-0.352419952796407
1151112.5549219977727-1.55492199777271
1161313.1528090173870-0.15280901738695
1171615.18191263996270.818087360037315
118118.651135523634012.34886447636599
1191414.3882287066421-0.388228706642128
120910.1679098794865-1.16790987948651
121810.2345424271914-2.23454242719139
122811.0763318517117-3.07633185171171
1231111.8381084404744-0.838108440474365
1241213.2533344154868-1.25333441548681
1251111.0064688221712-0.00646882217116818
1261414.5613607063352-0.561360706335221
1271112.643526830619-1.64352683061901
1281412.25620642693511.74379357306490
1291314.689172338863-1.68917233886299
1301210.72439189425801.27560810574196
13145.85078078205209-1.85078078205209
1321512.85041194829332.14958805170674
1331011.3564045967762-1.35640459677622
1341313.8175481192878-0.817548119287846
1351514.13543806729700.86456193270296
1361213.1967164681036-1.19671646810364
1371313.2591929988546-0.259192998854616
13887.810094603260360.189905396739644
1391010.4965022689081-0.496502268908092
1401513.6220677949351.37793220506499
1411614.37207258352941.62792741647057
1421614.86592956372741.13407043627262
1431412.91872232897141.08127767102865
1441413.00002314269100.999976857309033
1451210.60426127200371.39573872799628
1461513.25567483395841.74432516604163
1471313.0081459995235-0.00814599952346191
1481613.14031740118932.85968259881071
1491413.50006819572750.499931804272526
15089.96228051921138-1.96228051921138
1511613.6653748100332.334625189967
1521615.85062147635610.149378523643902
1531213.1210372765344-1.12103727653438
1541112.2076628194322-1.20766281943218
1551615.85062147635610.149378523643902
15699.96228051921138-0.962280519211384


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.328960213640120.657920427280240.67103978635988
130.4303470638208740.8606941276417470.569652936179126
140.3023216104071880.6046432208143760.697678389592812
150.1959678674323620.3919357348647230.804032132567639
160.1494334252789510.2988668505579020.85056657472105
170.1092645007945820.2185290015891630.890735499205418
180.1691359722501330.3382719445002660.830864027749867
190.2810948842953630.5621897685907250.718905115704637
200.2070689798688930.4141379597377860.792931020131107
210.2332176549398270.4664353098796550.766782345060173
220.1743689900102630.3487379800205260.825631009989737
230.1354481919428850.2708963838857690.864551808057116
240.09517415771980610.1903483154396120.904825842280194
250.0706328759326010.1412657518652020.929367124067399
260.05663832303833210.1132766460766640.943361676961668
270.08060006833128810.1612001366625760.919399931668712
280.1484113501543350.2968227003086690.851588649845665
290.1170353441387380.2340706882774760.882964655861262
300.09033848784490660.1806769756898130.909661512155093
310.0660563174374780.1321126348749560.933943682562522
320.05830227710880720.1166045542176140.941697722891193
330.04158941579542000.08317883159083990.95841058420458
340.02952780879995960.05905561759991930.97047219120004
350.2057118119572730.4114236239145460.794288188042727
360.4078032238019480.8156064476038960.592196776198052
370.5480086021114760.9039827957770480.451991397888524
380.4940788253522440.9881576507044870.505921174647756
390.472520394253180.945040788506360.52747960574682
400.4375723395969230.8751446791938450.562427660403077
410.6820819594136210.6358360811727580.317918040586379
420.8432289267285270.3135421465429460.156771073271473
430.808749986429890.382500027140220.19125001357011
440.8490509932128150.3018980135743700.150949006787185
450.8234110469662970.3531779060674070.176588953033703
460.8185392030259990.3629215939480030.181460796974001
470.7946051243877060.4107897512245890.205394875612294
480.814534969384870.3709300612302590.185465030615130
490.7778925525447470.4442148949105060.222107447455253
500.794352088970370.4112958220592620.205647911029631
510.7710994001303830.4578011997392340.228900599869617
520.7465866794731860.5068266410536290.253413320526814
530.8473743062810030.3052513874379940.152625693718997
540.8154388373148180.3691223253703630.184561162685182
550.8094239533934340.3811520932131320.190576046606566
560.7775457994684470.4449084010631070.222454200531553
570.7384643297304090.5230713405391830.261535670269591
580.698565819991840.602868360016320.30143418000816
590.6640602282647410.6718795434705170.335939771735259
600.6421139481288080.7157721037423840.357886051871192
610.5946043577092740.8107912845814520.405395642290726
620.5550845922505380.8898308154989240.444915407749462
630.5362868053157930.9274263893684140.463713194684207
640.5280908563007880.9438182873984240.471909143699212
650.5249815592454030.9500368815091930.475018440754597
660.5941084937900740.8117830124198520.405891506209926
670.5507884291532480.8984231416935050.449211570846752
680.5103850019154920.9792299961690150.489614998084508
690.6742015971347990.6515968057304020.325798402865201
700.8443840558701270.3112318882597470.155615944129873
710.8410373825999930.3179252348000130.158962617400007
720.8744500717612730.2510998564774540.125549928238727
730.9401926281461650.1196147437076710.0598073718538355
740.9251859073884530.1496281852230950.0748140926115474
750.9159796572937130.1680406854125740.0840203427062869
760.8965468309022560.2069063381954880.103453169097744
770.9188327822852140.1623344354295730.0811672177147863
780.9261189609462530.1477620781074940.0738810390537472
790.9686596212472930.06268075750541390.0313403787527070
800.9595705379758710.08085892404825750.0404294620241288
810.9552328355881760.08953432882364870.0447671644118243
820.9784496617803660.0431006764392680.021550338219634
830.97253840904550.05492318190899850.0274615909544992
840.9767180211431860.04656395771362890.0232819788568144
850.9693244863205330.06135102735893340.0306755136794667
860.9642217587916570.07155648241668590.0357782412083429
870.95503713941090.08992572117820060.0449628605891003
880.9464823308333960.1070353383332080.0535176691666038
890.9477420148104730.1045159703790540.0522579851895269
900.9335103713273460.1329792573453080.066489628672654
910.9362690899109770.1274618201780460.0637309100890231
920.9623011910802930.0753976178394130.0376988089197065
930.9974338576672130.005132284665573590.00256614233278679
940.9964679051802770.007064189639446010.00353209481972301
950.9956807678981370.00863846420372590.00431923210186295
960.9941455242723070.01170895145538510.00585447572769257
970.9945771718863530.01084565622729310.00542282811364655
980.9953054926155210.00938901476895750.00469450738447875
990.9935705544078930.01285889118421430.00642944559210713
1000.9922940118117680.01541197637646380.0077059881882319
1010.994872149467810.01025570106437880.00512785053218939
1020.9948555875539620.01028882489207690.00514441244603844
1030.99280636735310.01438726529379920.00719363264689962
1040.9945565194358150.01088696112836950.00544348056418477
1050.9921514523383040.01569709532339180.00784854766169588
1060.9896373405060160.0207253189879670.0103626594939835
1070.9886329687732230.02273406245355340.0113670312267767
1080.9927152253826540.01456954923469210.00728477461734604
1090.9991969107022760.001606178595447760.000803089297723881
1100.9988260788343820.002347842331235710.00117392116561786
1110.9997245414362350.0005509171275290050.000275458563764503
1120.9995339434412650.000932113117470120.00046605655873506
1130.999464130907320.001071738185361210.000535869092680606
1140.9991656673617230.001668665276553850.000834332638276923
1150.9988093878997370.002381224200524840.00119061210026242
1160.9980288046841330.003942390631733280.00197119531586664
1170.9968350424507360.00632991509852870.00316495754926435
1180.9993507148214280.001298570357144620.00064928517857231
1190.999017880693410.001964238613178570.000982119306589283
1200.9984030718152960.003193856369408620.00159692818470431
1210.998253954898380.003492090203240890.00174604510162044
1220.9978213098055260.004357380388948450.00217869019447422
1230.9966616580804760.006676683839048170.00333834191952409
1240.9968062889180210.006387422163957010.00319371108197851
1250.9946282967695860.01074340646082780.00537170323041389
1260.9918601951166450.01627960976670960.00813980488335478
1270.9891738028203030.02165239435939410.0108261971796970
1280.9843743609638830.03125127807223430.0156256390361172
1290.9914192077192560.01716158456148780.00858079228074389
1300.994100427792560.01179914441487910.00589957220743954
1310.9908593935831420.01828121283371570.00914060641685786
1320.9896223776353670.02075524472926690.0103776223646334
1330.9844495459632090.03110090807358260.0155504540367913
1340.9739636847511020.05207263049779590.0260363152488980
1350.955848147072390.08830370585521930.0441518529276097
1360.9485444675799750.1029110648400490.0514555324200246
1370.9309984346026840.1380031307946320.0690015653973161
1380.9012262680931570.1975474638136860.0987737319068429
1390.8745395189082230.2509209621835530.125460481091777
1400.8052381702466710.3895236595066570.194761829753329
1410.8317367411584260.3365265176831470.168263258841574
1420.7333282092840370.5333435814319260.266671790715963
1430.61468671601090.7706265679782010.385313283989100
1440.6853728434464490.6292543131071010.314627156553551


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level200.150375939849624NOK
5% type I error level430.323308270676692NOK
10% type I error level550.413533834586466NOK