Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.340957140032500 + 0.117850045256176FindingFriends[t] + 0.240882362067202KnowingPeople[t] + 0.372073239661235Liked[t] + 0.610915345027388Celebrity[t] -0.0436536294476873B[t] + 0.171832293382581`2B`[t] + 0.50219147193765`3B`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.3409571400325001.464149-0.23290.8161840.408092
FindingFriends0.1178500452561760.0963741.22280.2233350.111668
KnowingPeople0.2408823620672020.0616043.91020.000147e-05
Liked0.3720732396612350.0968583.84140.0001819e-05
Celebrity0.6109153450273880.1563353.90770.0001417.1e-05
B-0.04365362944768730.223131-0.19560.8451590.42258
`2B`0.1718322933825810.2685430.63990.5232480.261624
`3B`0.502191471937650.31641.58720.11460.0573


Multiple Linear Regression - Regression Statistics
Multiple R0.71619317008086
R-squared0.512932656870471
Adjusted R-squared0.489895687938669
F-TEST (value)22.265631315862
F-TEST (DF numerator)7
F-TEST (DF denominator)148
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09738583856901
Sum Squared Residuals651.056048662812


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.25948830318441.74051169681562
21211.66880235565280.331197644347162
3911.0616188314191-2.06161883141909
41011.8533203318800-1.85332033187998
51312.96656376163550.0334362383644692
61614.99543677118451.00456322881554
71412.70715829567561.29284170432438
81613.70047549904302.29952450095704
91010.780099399138-0.780099399138003
10810.6958000083271-2.69580000832711
111212.1756216380116-0.175621638011571
121515.0370501439311-0.0370501439310947
131410.82482132832863.17517867167135
141412.76054639228751.23945360771248
151213.0142551684585-1.01425516845848
161211.12455494159640.875445058403584
17109.536769315962360.463230684037638
1846.74363584746519-2.74363584746519
191415.2088824373137-1.20888243731368
201514.19341099761950.806589002380489
211613.32011389740412.67988610259594
221210.69363045073461.30636954926538
231212.0901246465663-0.0901246465662739
241211.26487199135690.735128008643113
251211.35036898280220.649631017197816
261212.0982832073493-0.0982832073492803
27118.318653011328182.68134698867182
281112.9332746752975-1.93327467529754
291111.9814989958149-0.981498995814874
301111.6257428777197-0.625742877719652
311111.2842440032755-0.284244003275542
32118.464652607394332.53534739260567
331514.18525243683650.814747563163496
341514.66905741767200.330942582328042
35914.4261347989037-5.42613479890371
361610.65298903494615.34701096505393
37139.030705565169123.96929443483088
38910.2157627727163-1.21576277271628
391614.05610181594351.94389818405648
401212.7286576887965-0.728657688796484
41158.854039692840146.14596030715986
4259.65147734636474-4.65147734636474
431111.2691805282920-0.269180528291986
441713.08858819705753.91141180294252
4598.966358773933010.0336412260669887
461314.5460251008609-1.54602510086093
471614.19247496509241.80752503490760
481613.80187862153852.19812137846154
491414.343904777629-0.343904777628995
501613.53068346236142.46931653763857
511112.8168497801488-1.81684978014879
521111.8687014209189-0.868701420918887
531113.7292333448507-2.72923334485071
541212.2305758430961-0.230575843096066
551213.8192931556826-1.81929315568257
561212.0829021183104-0.0829021183103742
571413.70552796940310.294472030596851
581010.9193976374449-0.919397637444866
5999.39051061781011-0.390510617810114
601212.2715659514931-0.271565951493069
611010.0318748724346-0.031874872434624
621412.98288088320151.01711911679846
6389.94996681078992-1.94996681078992
641614.50033121471221.49966878528781
651415.7231004033153-1.72310040331527
661410.75452195863623.24547804136377
671211.24444524355360.755554756446359
681413.39949258476740.600507415232604
69711.1327091568048-4.13270915680476
701913.93306949913255.0669305008675
711512.84242968667172.15757031332825
72811.2639043799735-3.26390437997346
731014.2866196349010-4.28661963490102
741312.95934123337960.0406587666203699
751311.23314466791681.76685533208317
761010.3937492946118-0.393749294611803
77129.0570448485292.94295515147099
781517.3038760808146-2.30387608081458
79711.0644184649571-4.06441846495707
801414.1872926935376-0.187292693537553
81108.433890429316511.56610957068349
8269.70389833189643-3.70389833189643
831111.2566306516474-0.25663065164738
84129.295886953895162.70411304610484
851414.1933059636853-0.193305963685324
861213.3232559122579-1.32325591225786
871414.3031024820927-0.30310248209268
881110.06587294212990.934127057870083
89109.272825797876370.727174202123635
901313.3323820844243-0.332382084424296
91810.2727572345018-2.27275723450183
92911.7375105433249-2.73751054332485
93612.0912264047190-6.09122640471903
941213.1881631426699-1.18816314266988
951412.21409299590441.78590700409559
961110.51882186812390.481178131876121
97810.6256841059207-2.62568410592072
9879.29792721059621-2.29792721059621
99910.5302990994509-1.53029909945087
1001412.18076798513541.81923201486456
1011310.27887553858382.72112446141622
1021512.70715829567562.29284170432438
10355.35466983018372-0.354669830183719
1041512.26014667249882.73985332750122
1051312.26807524403080.731924755969187
1061211.62484276962350.375157230376472
10767.7895202723255-1.78952027232549
10879.6679601935564-2.66796019355640
109138.57528012439464.4247198756054
1101614.92434644579881.07565355420121
1111013.3334547297419-3.33345472974191
1121615.15694044588830.84305955411168
1131513.19410529136491.80589470863513
11488.43074841446271-0.430748414462713
1151112.6098716110132-1.6098716110132
1161313.2430819236266-0.243081923626609
1171615.23631913325170.763680866748342
118118.711653273543492.28834672645651
1191414.4404116637687-0.440411663768671
120910.2414724804339-1.24147248043391
121810.2881383235407-2.28813832354073
122811.1352322528836-3.13523225288359
1231111.9044264788345-0.904426478834538
1241213.3284381838127-1.32843818381271
1251111.0872496054817-0.0872496054816573
1261414.6275200122560-0.627520012255971
1271112.7034912388105-1.70349123881052
1281412.32896675193241.67103324806757
1291314.7677542830899-1.76775428308994
1301210.78213965583911.21786034416095
13145.97909173317461-1.97909173317461
1321512.93514239477712.06485760522290
1331011.3971355142685-1.39713551426854
1341313.8895925253750-0.889592525374987
1351514.21179314314700.788206856852951
1361213.2757008911194-1.27570089111944
1371313.3201138974041-0.320113897404057
13887.922467751278240.0775322487217605
1391010.5697598234316-0.569759823431602
1401513.68402857628231.31597142371771
1411614.43225310298571.56774689701434
1421614.91605808382111.08394191617888
1431412.97472232241851.02527767758146
1441413.08848750869800.911512491302045
1451210.66632552170931.33367447829073
1461513.13310874952911.86689125047093
1471312.86816850722450.131831492775490
1481613.20226385214792.79773614785212
1491413.56099625947130.439003740528741
150810.0318748724346-2.03187487243462
1511613.73282855285382.26717144714616
1521615.91646120265380.0835387973461524
1531213.1889230198100-1.18892301981002
1541112.2919572751686-1.29195727516855
1551615.91646120265380.0835387973461524
156910.0318748724346-1.03187487243462


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.2840513070910870.5681026141821740.715948692908913
120.2457274305432190.4914548610864380.754272569456781
130.2935317304570600.5870634609141190.70646826954294
140.2003018737947210.4006037475894410.79969812620528
150.1224710368793900.2449420737587800.87752896312061
160.1002419369371130.2004838738742250.899758063062887
170.07879206151117580.1575841230223520.921207938488824
180.1224048011950320.2448096023900640.877595198804968
190.2177266601156100.4354533202312190.78227333988439
200.1577057406009700.3154114812019410.84229425939903
210.1807291439095940.3614582878191870.819270856090406
220.1321832181332520.2643664362665030.867816781866748
230.1003987626602400.2007975253204810.89960123733976
240.06930459153980210.1386091830796040.930695408460198
250.05245507478610040.1049101495722010.9475449252139
260.03998448514109970.07996897028219940.9600155148589
270.05982728967855180.1196545793571040.940172710321448
280.1178735329871690.2357470659743380.882126467012831
290.09246157806238270.1849231561247650.907538421937617
300.07104352959192710.1420870591838540.928956470408073
310.0511602099616230.1023204199232460.948839790038377
320.04454484884942410.08908969769884820.955455151150576
330.03142902060326360.06285804120652720.968570979396736
340.02216364476243670.04432728952487340.977836355237563
350.1826738919482340.3653477838964680.817326108051766
360.3705203648080770.7410407296161530.629479635191923
370.5173778243320250.965244351335950.482622175667975
380.4631289927425790.9262579854851580.536871007257421
390.4482166639040030.8964333278080060.551783336095997
400.4108217466281990.8216434932563980.589178253371801
410.675437076118110.649125847763780.32456292388189
420.830483698875890.339032602248220.16951630112411
430.7946273857631240.4107452284737510.205372614236876
440.838687943829510.3226241123409800.161312056170490
450.814755412473980.370489175052040.18524458752602
460.8077664083620640.3844671832758720.192233591637936
470.7825481254913090.4349037490173830.217451874508691
480.800990880896770.3980182382064620.199009119103231
490.7630958502563520.4738082994872960.236904149743648
500.7809732054572250.4380535890855490.219026794542775
510.7570828513428720.4858342973142550.242917148657128
520.7321281805703040.5357436388593910.267871819429696
530.8403124058603430.3193751882793150.159687594139657
540.8076390699931140.3847218600137710.192360930006886
550.8043798498775380.3912403002449240.195620150122462
560.77127525408340.4574494918332010.228724745916601
570.7322689508882160.5354620982235690.267731049111784
580.6921927010732370.6156145978535260.307807298926763
590.6611949642196630.6776100715606740.338805035780337
600.6433113428930940.7133773142138130.356688657106906
610.5964181571424360.8071636857151290.403581842857564
620.5560133331433990.8879733337132030.443986666856601
630.5429678890448060.9140642219103890.457032110955194
640.5292851376708530.9414297246582930.470714862329147
650.5320173967770.9359652064460.467982603223
660.5968133150499070.8063733699001860.403186684950093
670.5532894513104870.8934210973790270.446710548689513
680.5116457742740710.9767084514518580.488354225725929
690.6839114001164170.6321771997671660.316088599883583
700.848082731355090.3038345372898190.151917268644909
710.844598726118960.3108025477620790.155401273881040
720.8808292609344460.2383414781311090.119170739065554
730.9454596824360790.1090806351278420.0545403175639212
740.9312099104029040.1375801791941920.0687900895970959
750.9235405327072720.1529189345854550.0764594672927276
760.9050119512939370.1899760974121270.0949880487060633
770.9241349385126810.1517301229746380.0758650614873191
780.9317678125115980.1364643749768040.068232187488402
790.97124565850680.05750868298639910.0287543414931995
800.9625274671320670.07494506573586620.0374725328679331
810.9593974388991410.08120512220171730.0406025611008586
820.9797051446163380.04058971076732320.0202948553836616
830.973666123004190.05266775399161970.0263338769958098
840.9791181395630390.04176372087392270.0208818604369614
850.972288022389230.05542395522153760.0277119776107688
860.9670708537587190.06585829248256160.0329291462412808
870.957814810369910.08437037926017770.0421851896300888
880.9511040661060440.09779186778791180.0488959338939559
890.9516855595562560.09662888088748740.0483144404437437
900.938127153953440.1237456920931220.0618728460465608
910.9410026323095040.1179947353809910.0589973676904957
920.9527353182989620.09452936340207680.0472646817010384
930.9968950063498530.006209987300294960.00310499365014748
940.9958810072582830.008237985483433270.00411899274171663
950.9949413905061840.01011721898763290.00505860949381644
960.9930795418705080.01384091625898370.00692045812949183
970.9939875353361270.01202492932774680.00601246466387342
980.9948442675966450.01031146480671030.00515573240335515
990.9931271326299450.01374573474010990.00687286737005497
1000.9916944149210740.01661117015785230.00830558507892614
1010.9944739814812460.01105203703750880.00552601851875441
1020.9944065583936220.01118688321275620.00559344160637809
1030.9922180145469870.01556397090602700.00778198545301349
1040.9940193490865440.01196130182691190.00598065091345593
1050.9914414151599860.01711716968002760.00855858484001379
1060.9884976720190680.02300465596186440.0115023279809322
1070.9874000620072170.02519987598556680.0125999379927834
1080.9916348936101550.01673021277969010.00836510638984506
1090.9990742125568930.001851574886214410.000925787443107207
1100.9986736658839450.002652668232110510.00132633411605526
1110.999674868586870.0006502628262589550.000325131413129477
1120.99945648642950.001087027141001300.000543513570500648
1130.9993436298931770.001312740213645110.000656370106822554
1140.9989754615559670.00204907688806510.00102453844403255
1150.9986270489713470.002745902057305670.00137295102865283
1160.9977570611484650.004485877703069730.00224293885153487
1170.9964279138710570.007144172257886330.00357208612894317
1180.9992333991097250.001533201780549840.000766600890274918
1190.9987893168959240.00242136620815170.00121068310407585
1200.9980921584709710.003815683058057470.00190784152902874
1210.997992595896960.004014808206080180.00200740410304009
1220.997978160995370.004043678009258350.00202183900462917
1230.9970821621271550.005835675745690920.00291783787284546
1240.9977114061699920.00457718766001690.00228859383000845
1250.9961340919411210.007731816117757050.00386590805887853
1260.9944263725793750.01114725484124980.0055736274206249
1270.9921941278439470.01561174431210680.00780587215605341
1280.9884918597472520.02301628050549670.0115081402527483
1290.9946880083040490.01062398339190300.00531199169595151
1300.9965526335259740.006894732948052520.00344736647402626
1310.9946172017642430.01076559647151410.00538279823575704
1320.9939579230037450.01208415399251080.00604207699625539
1330.9908062643273140.01838747134537290.00919373567268646
1340.984022989872550.03195402025489920.0159770101274496
1350.97216222181080.05567555637839880.0278377781891994
1360.9685428303495940.06291433930081140.0314571696504057
1370.957352787623810.08529442475238120.0426472123761906
1380.9348351312284410.1303297375431190.0651648687715593
1390.9214788773628450.1570422452743110.0785211226371553
1400.8719298623118080.2561402753763840.128070137688192
1410.8771148550214550.2457702899570890.122885144978545
1420.8028541270320570.3942917459358850.197145872967943
1430.7355167901754820.5289664196490360.264483209824518
1440.7136128486298260.5727743027403480.286387151370174
1450.5809099273333180.8381801453333650.419090072666682


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level200.148148148148148NOK
5% type I error level450.333333333333333NOK
10% type I error level610.451851851851852NOK