Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.291123164546368 -0.0511359771771675month[t] + 0.100278815914936FindingFriends[t] + 0.211899695274710KnowingPeople[t] + 0.384406986575042Liked[t] + 0.591650456104061Celebrity[t] + 0.312334530791981bestfriend[t] -0.0295870251376916secondbestfriend[t] + 0.409233788979355thirdbestfriend[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.2911231645463683.5635910.08170.9350010.467501
month-0.05113597717716750.35484-0.14410.8856110.442805
FindingFriends0.1002788159149360.0970161.03360.3030070.151504
KnowingPeople0.2118996952747100.0638393.31930.0011380.000569
Liked0.3844069865750420.0986793.89550.0001487.4e-05
Celebrity0.5916504561040610.1561153.78980.0002190.00011
bestfriend0.3123345307919810.2105761.48320.1401520.070076
secondbestfriend-0.02958702513769160.201438-0.14690.8834290.441714
thirdbestfriend0.4092337889793550.2137521.91450.0574960.028748


Multiple Linear Regression - Regression Statistics
Multiple R0.718941993490984
R-squared0.51687759000479
Adjusted R-squared0.490585213950629
F-TEST (value)19.6588390847615
F-TEST (DF numerator)8
F-TEST (DF denominator)147
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09596780395353
Sum Squared Residuals645.782912175841


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.15610941013391.84389058986607
21210.99732035991661.00267964008338
31513.07689839422281.92310160577722
41211.41339600619740.586603993802554
51010.9282941675151-0.928294167515113
6129.314612024046112.68538797595389
71516.8694298030583-1.86942980305829
8910.2725550164866-1.27255501648660
91212.9984786544118-0.998478654411798
10117.530235140681363.46976485931864
111113.0043488613008-2.00434886130083
121112.1525974460617-1.15259744606174
131512.27038412994062.72961587005938
14711.4490660940079-4.44906609400788
151111.2357071966462-0.235707196646161
161110.79325366522340.206746334776610
171011.8106758901321-1.81067589013207
181414.8467791465252-0.84677914652517
19108.555863446322731.44413655367727
2069.34736154636249-3.34736154636249
21118.776945081634592.22305491836541
221514.06138055073280.93861944926724
231111.5771781899035-0.577178189903492
24129.737290766179742.26270923382026
251413.07226868294360.927731317056356
261514.51942319216560.480576807834437
27914.3028672711452-5.30286727114516
281312.50517073499680.494829265003233
291313.4500725736659-0.450072573665895
301611.16972365422934.83027634577075
31138.75962336113654.2403766388635
321213.6311085757848-1.63110857578479
331414.5708931556271-0.570893155627051
34119.633046059085441.36695394091456
35910.2429679913489-1.24296799134890
361614.20586401597011.7941359840299
371213.1612309435618-1.16123094356184
38109.747178886862780.252821113137221
391313.1693239607334-0.169323960733352
401615.24923369169890.750766308301114
411413.12501531442330.87498468557674
42158.108669940989466.89133005901054
4359.73044890887825-4.73044890887825
44810.3447834918720-2.34478349187199
451111.1715972465804-0.171597246580375
461614.24581623892971.75418376107027
471714.28333345286632.71666654713366
4898.048337497340740.951662502659255
49911.4323057943085-2.43230579430853
501314.8466231269228-1.84662312692284
511010.9236847050589-0.92368470505885
52612.0403434699607-6.04034346996074
531211.88740457166080.112595428339179
54810.4729821368622-2.47298213686223
551411.84476312141312.15523687858688
561212.9277332433333-0.927733243333263
571111.0230223205811-0.0230223205810992
581614.09355509579581.90644490420420
59810.2043935119364-2.20439351193644
601514.56063424441780.439365755582235
6179.0661419531643-2.06614195316430
621613.87059986813282.12940013186717
631412.84156649661581.15843350338421
641613.57466742591432.42533257408571
65910.1872012965741-1.18720129657414
661412.31801738990501.68198261009502
671113.2318077556377-2.23180775563770
681310.34987770088972.65012229911031
691512.94739305392102.05260694607897
7055.76127050334993-0.761270503349934
711512.87659726615612.12340273384390
721311.91692178369991.08307821630008
731112.9968137479744-1.99681374797437
741114.0952478000063-3.09524780000629
751212.1930141708868-0.193014170886771
761213.4007794696081-1.40077946960814
771212.7519219616863-0.751921961686308
781212.0811136174823-0.0811136174822852
791411.05127544400242.94872455599760
8067.97861965072775-1.97861965072775
8179.41630568885595-2.41630568885595
821412.61556925857801.38443074142198
831414.0003351977312-0.00033519773121668
841010.9673318250210-0.967331825020967
85139.367446459716113.63255354028389
861212.4136399800742-0.41363998007422
8799.07144712585763-0.0714471258576263
881212.3554364093057-0.355436409305704
891615.07030286891440.929697131085609
901010.8033161391914-0.803316139191449
911412.98498934806541.01501065193458
921013.6455152362939-3.64551523629387
931614.98604199964471.01395800035533
941513.31522227486561.68477772513440
951211.47684442991530.523155570084742
96109.273385422693310.726614577306685
97810.2857412363574-2.28574123635735
9888.46845460630873-0.468454606308727
991112.5556942387404-1.55569423874035
1001312.99200150262630.0079984973736558
1011615.87840524905120.121594750948834
1021615.17047768784160.82952231215836
1031415.6644239192084-1.66442391920835
104118.9939389859272.00606101407300
10547.37908943075277-3.37908943075277
1061414.6811824228954-0.681182422895399
107910.5776716883672-1.57767168836724
1081415.2526155390514-1.25261553905141
109810.0286106598962-2.02861065989624
110810.4919319595558-2.49193195955582
1111111.9776325185835-0.977632518583453
1121213.2116678982108-1.21166789821079
1131111.0136006127768-0.0136006127768117
1141413.02422573243750.975774267562534
1151514.41305254142580.586947458574178
1161613.37610868680622.62389131319384
1171612.88130546627483.11869453372517
1181112.6614687734309-1.66146877343094
1191413.38409084997810.615909150021876
1201411.02978143603622.97021856396378
1211211.58177947157590.418220528424115
1221413.07206297859320.92793702140677
123810.8410413471034-2.84104134710344
1241314.2946990610775-1.29469906107747
1251614.53634180109221.46365819890779
1261210.59445744797311.40554255202692
1271615.86732320219640.132676797803649
1281212.7087981749745-0.708798174974494
1291111.3236884710665-0.323688471066468
13045.75762186245885-1.75762186245885
1311616.1204836827130-0.120483682712950
1321513.10362238198611.89637761801388
1331011.1658333304308-1.16583333043083
1341314.3080532885827-1.30805328858271
1351512.61023172072472.38976827927527
1361210.22451206598041.77548793401958
1371412.90416527022151.09583472977847
138710.4379749603298-3.43797496032983
1391913.76035965377895.23964034622113
1401213.0934132037665-1.09341320376652
1411211.94945267291810.0505473270818735
1421313.2609522301165-0.260952230116489
1431512.46681852721682.53318147278321
14488.98814186294263-0.988141862942634
1451211.18756710616420.812432893835844
1461010.4485933177299-0.448593317729926
147811.3305913693145-3.33059136931448
1481014.3439436071780-4.34394360717797
1491514.23872889147260.761271108527372
1501614.02521397450861.97478602549143
1511313.2564520239731-0.256452023973133
1521615.04875162725000.951248372750046
15399.76941328862813-0.769413288628131
1541413.36292375024190.637076249758089
1551413.42576229161480.574237708385213
1561210.06147324577381.93852675422620


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.2678513345002960.5357026690005920.732148665499704
130.7315296066593030.5369407866813930.268470393340697
140.9142176081100610.1715647837798780.085782391889939
150.866476907794970.2670461844100600.133523092205030
160.809325610501750.3813487789965000.190674389498250
170.7396762307510420.5206475384979170.260323769248958
180.653738513018350.6925229739633010.346261486981651
190.5735676834704780.8528646330590440.426432316529522
200.7980922531473420.4038154937053160.201907746852658
210.7415994501696420.5168010996607170.258400549830358
220.7398475105646740.5203049788706520.260152489435326
230.6738257356869080.6523485286261850.326174264313092
240.6681044889121870.6637910221756260.331895511087813
250.6320021330011760.7359957339976490.367997866998824
260.5711288379068880.8577423241862240.428871162093112
270.782043545414310.4359129091713810.217956454585690
280.741339637825130.5173207243497410.258660362174870
290.6832311636062760.6335376727874480.316768836393724
300.7894184284235510.4211631431528970.210581571576449
310.8471088776428070.3057822447143850.152891122357193
320.8128608530515020.3742782938969970.187139146948498
330.7686127680653280.4627744638693440.231387231934672
340.7318356037058850.536328792588230.268164396294115
350.706367759331850.5872644813362990.293632240668150
360.7354872440465790.5290255119068420.264512755953421
370.7124346299322570.5751307401354870.287565370067743
380.6666289978551480.6667420042897050.333371002144852
390.6176513638903460.7646972722193070.382348636109653
400.5752149597017590.8495700805964830.424785040298241
410.5279938500366200.944012299926760.47200614996338
420.8612217805111670.2775564389776660.138778219488833
430.9665833104382970.06683337912340580.0334166895617029
440.968195765983340.06360846803331810.0318042340166591
450.959256047933050.08148790413390190.0407439520669509
460.9647205182928310.07055896341433750.0352794817071687
470.9717868031831920.05642639363361630.0282131968168081
480.968360992512940.06327801497412170.0316390074870608
490.9646124249083240.0707751501833520.035387575091676
500.9555286995619040.08894260087619240.0444713004380962
510.9493328443042320.1013343113915360.0506671556957681
520.9900909833618450.01981803327631050.00990901663815524
530.9864360035328250.02712799293434910.0135639964671746
540.9910223060725720.01795538785485600.00897769392742801
550.9930041335620150.01399173287596970.00699586643798484
560.9908837337966130.01823253240677310.00911626620338653
570.9874740424208530.02505191515829300.0125259575791465
580.9871492056746050.02570158865079020.0128507943253951
590.990200165216620.01959966956675940.0097998347833797
600.9890189551237470.02196208975250500.0109810448762525
610.988863729907920.02227254018415810.0111362700920791
620.990426082140180.01914783571963880.00957391785981939
630.9888803808176050.02223923836478990.0111196191823949
640.9892955367363910.02140892652721720.0107044632636086
650.9887657389000370.02246852219992600.0112342610999630
660.986713682394570.02657263521086170.0132863176054308
670.9884284032135680.02314319357286320.0115715967864316
680.9898264183192030.02034716336159370.0101735816807968
690.9892063818901250.02158723621975060.0107936181098753
700.9863757381272550.02724852374549050.0136242618727453
710.9864624439497350.02707511210052910.0135375560502646
720.9829212683772070.03415746324558660.0170787316227933
730.9841504936372280.03169901272554330.0158495063627716
740.9894996134871930.02100077302561450.0105003865128073
750.9859931529239940.02801369415201260.0140068470760063
760.9837312215888440.03253755682231220.0162687784111561
770.9790275260196430.04194494796071370.0209724739803568
780.9727438300408540.0545123399182930.0272561699591465
790.9789046939270370.04219061214592530.0210953060729627
800.9786668339147240.04266633217055130.0213331660852757
810.9802987951330930.03940240973381480.0197012048669074
820.9780726521365580.04385469572688340.0219273478634417
830.9708758887860570.05824822242788530.0291241112139427
840.9636129145806250.07277417083875080.0363870854193754
850.9844686979080290.03106260418394280.0155313020919714
860.9795301760248670.04093964795026590.0204698239751329
870.972941769530300.05411646093939820.0270582304696991
880.9653188183054410.06936236338911840.0346811816945592
890.9565035496042840.08699290079143180.0434964503957159
900.9456790051839530.1086419896320940.0543209948160468
910.9360495390388550.1279009219222900.0639504609611449
920.9631666497959860.07366670040802800.0368333502040140
930.9539761038777330.09204779224453340.0460238961222667
940.948960354309090.1020792913818190.0510396456909093
950.9363909376317440.1272181247365130.0636090623682564
960.9214250050037870.1571499899924260.0785749949962131
970.917424809309990.1651503813800180.0825751906900092
980.897594806931740.2048103861365220.102405193068261
990.888133783090760.2237324338184810.111866216909240
1000.861792857181190.2764142856376210.138207142818810
1010.832625671896550.3347486562068990.167374328103450
1020.8018491369719110.3963017260561770.198150863028089
1030.830250346198640.3394993076027190.169749653801360
1040.8725282875519130.2549434248961740.127471712448087
1050.8794083399137970.2411833201724050.120591660086203
1060.8524915602195250.2950168795609490.147508439780475
1070.8286865565190890.3426268869618230.171313443480911
1080.8225860546060120.3548278907879760.177413945393988
1090.8125769717782440.3748460564435120.187423028221756
1100.8347472123309760.3305055753380480.165252787669024
1110.8205409284868470.3589181430263060.179459071513153
1120.8675319755252580.2649360489494830.132468024474742
1130.8344548966231930.3310902067536140.165545103376807
1140.8010761977835750.3978476044328490.198923802216425
1150.7600172246084920.4799655507830150.239982775391508
1160.7723196136389310.4553607727221380.227680386361069
1170.782083959981740.4358320800365180.217916040018259
1180.7622000186412860.4755999627174280.237799981358714
1190.7165573747786850.5668852504426290.283442625221315
1200.8021962436530250.3956075126939500.197803756346975
1210.7680665521219130.4638668957561740.231933447878087
1220.7181076494505730.5637847010988530.281892350549427
1230.7167784968328570.5664430063342870.283221503167144
1240.681936715058390.6361265698832210.318063284941610
1250.6551771566105570.6896456867788850.344822843389443
1260.6366249755225130.7267500489549740.363375024477487
1270.5703123004906650.859375399018670.429687699509335
1280.5529379248307320.8941241503385360.447062075169268
1290.5415609757494840.9168780485010310.458439024250516
1300.5273171683015330.9453656633969330.472682831698467
1310.4582107475922270.9164214951844530.541789252407773
1320.4275904170900050.855180834180010.572409582909995
1330.3913229988154910.7826459976309820.608677001184509
1340.3463124146818660.6926248293637330.653687585318134
1350.2987739248101240.5975478496202480.701226075189876
1360.2741180170187510.5482360340375020.725881982981249
1370.2413305637247180.4826611274494360.758669436275282
1380.2642179808010550.528435961602110.735782019198945
1390.6435463020351730.7129073959296530.356453697964826
1400.6332558716228390.7334882567543220.366744128377161
1410.5260238330694660.9479523338610670.473976166930534
1420.512125676302660.975748647394680.48787432369734
1430.3780826783545200.7561653567090390.62191732164548
1440.2578906186196720.5157812372393440.742109381380328


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level320.240601503759398NOK
10% type I error level480.360902255639098NOK