Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.291123164546304 -0.051135977177163month[t] + 0.100278815914937FindingFriends[t] + 0.21189969527471KnowingPeople[t] + 0.384406986575043Liked[t] + 0.591650456104063Celebrity[t] + 0.312334530791982bestfriend[t] -0.0295870251376915secondbestfriend[t] + 0.409233788979356thirdbestfriend[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.2911231645463043.5635910.08170.9350010.467501
month-0.0511359771771630.35484-0.14410.8856110.442805
FindingFriends0.1002788159149370.0970161.03360.3030070.151504
KnowingPeople0.211899695274710.0638393.31930.0011380.000569
Liked0.3844069865750430.0986793.89550.0001487.4e-05
Celebrity0.5916504561040630.1561153.78980.0002190.00011
bestfriend0.3123345307919820.2105761.48320.1401520.070076
secondbestfriend-0.02958702513769150.201438-0.14690.8834290.441714
thirdbestfriend0.4092337889793560.2137521.91450.0574960.028748


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 Residuals645.78291217584


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.1561094101341.843890589866
21210.99732035991661.00267964008339
31513.07689839422281.92310160577722
41211.41339600619740.586603993802553
51010.9282941675151-0.92829416751511
6129.31461202404612.6853879759539
71516.8694298030583-1.86942980305829
8910.2725550164866-1.27255501648659
91212.9984786544118-0.998478654411791
10117.530235140681353.46976485931865
111113.0043488613008-2.00434886130083
121112.1525974460617-1.15259744606174
131512.27038412994062.72961587005939
14711.4490660940079-4.44906609400788
151111.2357071966462-0.235707196646161
161110.79325366522340.206746334776617
171011.8106758901321-1.81067589013207
181414.8467791465252-0.846779146525167
19108.555863446322731.44413655367727
2069.34736154636249-3.34736154636249
21118.776945081634582.22305491836542
221514.06138055073280.938619449267243
231111.5771781899035-0.577178189903485
24129.737290766179732.26270923382027
251413.07226868294360.927731317056361
261514.51942319216560.480576807834443
27914.3028672711452-5.30286727114516
281312.50517073499680.494829265003239
291313.4500725736659-0.450072573665891
301611.16972365422934.83027634577075
31138.75962336113654.2403766388635
321213.6311085757848-1.63110857578478
331414.5708931556271-0.57089315562705
34119.633046059085431.36695394091457
35910.2429679913489-1.2429679913489
361614.20586401597011.7941359840299
371213.1612309435618-1.16123094356184
38109.747178886862770.252821113137227
391313.1693239607333-0.169323960733348
401615.24923369169890.750766308301116
411413.12501531442330.874984685576742
42158.108669940989456.89133005901054
4359.73044890887825-4.73044890887825
44810.344783491872-2.34478349187199
451111.1715972465804-0.171597246580374
461614.24581623892971.75418376107027
471714.28333345286632.71666654713366
4898.048337497340740.95166250265926
49911.4323057943085-2.43230579430853
501314.8466231269228-1.84662312692283
511010.9236847050589-0.92368470505885
52612.0403434699607-6.04034346996074
531211.88740457166080.112595428339184
54810.4729821368622-2.47298213686223
551411.84476312141312.15523687858689
561212.9277332433333-0.927733243333258
571111.0230223205811-0.023022320581098
581614.09355509579581.9064449042042
59810.2043935119364-2.20439351193644
601514.56063424441780.439365755582233
6179.0661419531643-2.0661419531643
621613.87059986813282.12940013186717
631412.84156649661581.15843350338421
641613.57466742591432.42533257408571
65910.1872012965741-1.18720129657414
661412.3180173899051.68198261009502
671113.2318077556377-2.23180775563771
681310.34987770088972.65012229911031
691512.9473930539212.05260694607897
7055.76127050334993-0.761270503349932
711512.87659726615612.1234027338439
721311.91692178369991.08307821630008
731112.9968137479744-1.99681374797437
741114.0952478000063-3.09524780000629
751212.1930141708868-0.193014170886773
761213.4007794696081-1.40077946960814
771212.7519219616863-0.75192196168631
781212.0811136174823-0.0811136174822851
791411.05127544400242.94872455599759
8067.97861965072775-1.97861965072775
8179.41630568885596-2.41630568885596
821412.6155692585781.38443074142198
831414.0003351977312-0.000335197731220629
841010.967331825021-0.967331825020966
85139.367446459716113.63255354028389
861212.4136399800742-0.413639980074222
8799.07144712585763-0.0714471258576255
881212.3554364093057-0.355436409305706
891615.07030286891440.929697131085605
901010.8033161391915-0.80331613919145
911412.98498934806541.01501065193457
921013.6455152362939-3.64551523629387
931614.98604199964471.01395800035532
941513.31522227486561.6847777251344
951211.47684442991530.523155570084741
96109.273385422693320.726614577306685
97810.2857412363574-2.28574123635736
9888.46845460630873-0.468454606308727
991112.5556942387404-1.55569423874035
1001312.99200150262630.00799849737365126
1011615.87840524905120.121594750948831
1021615.17047768784160.829522312158356
1031415.6644239192084-1.66442391920836
104118.9939389859272.006061014073
10547.37908943075277-3.37908943075277
1061414.6811824228954-0.681182422895407
107910.5776716883672-1.57767168836724
1081415.2526155390514-1.25261553905141
109810.0286106598962-2.02861065989624
110810.4919319595558-2.49193195955582
1111111.9776325185835-0.977632518583453
1121213.2116678982108-1.21166789821079
1131111.0136006127768-0.0136006127768161
1141413.02422573243750.975774267562531
1151514.41305254142580.586947458574173
1161613.37610868680622.62389131319384
1171612.88130546627483.11869453372517
1181112.6614687734309-1.66146877343094
1191413.38409084997810.615909150021873
1201411.02978143603622.97021856396378
1211211.58177947157590.418220528424114
1221413.07206297859320.92793702140677
123810.8410413471034-2.84104134710344
1241314.2946990610775-1.29469906107748
1251614.53634180109221.46365819890779
1261210.59445744797311.40554255202691
1271615.86732320219640.132676797803643
1281212.7087981749745-0.708798174974494
1291111.3236884710665-0.323688471066468
13045.75762186245885-1.75762186245885
1311616.120483682713-0.120483682712955
1321513.10362238198611.89637761801388
1331011.1658333304308-1.16583333043084
1341314.3080532885827-1.30805328858272
1351512.61023172072472.38976827927527
1361210.22451206598041.77548793401958
1371412.90416527022151.09583472977847
138710.4379749603298-3.43797496032983
1391913.76035965377895.23964034622113
1401213.0934132037665-1.09341320376652
1411211.94945267291810.0505473270818767
1421313.2609522301165-0.260952230116492
1431512.46681852721682.53318147278321
14488.98814186294263-0.988141862942632
1451211.18756710616420.812432893835842
1461010.4485933177299-0.448593317729932
147811.3305913693145-3.33059136931449
1481014.343943607178-4.34394360717797
1491514.23872889147260.761271108527371
1501614.02521397450861.97478602549143
1511313.2564520239731-0.256452023973137
1521615.048751627250.951248372750044
15399.76941328862813-0.76941328862813
1541413.36292375024190.637076249758086
1551413.42576229161480.574237708385211
1561210.06147324577381.9385267542262


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.2678513345002980.5357026690005960.732148665499702
130.7315296066593030.5369407866813930.268470393340697
140.9142176081100610.1715647837798780.085782391889939
150.866476907794970.2670461844100620.133523092205031
160.809325610501750.38134877899650.19067438949825
170.7396762307510420.5206475384979160.260323769248958
180.653738513018350.6925229739633010.346261486981651
190.573567683470480.8528646330590410.426432316529521
200.7980922531473420.4038154937053150.201907746852658
210.7415994501696420.5168010996607160.258400549830358
220.7398475105646750.5203049788706490.260152489435325
230.6738257356869070.6523485286261860.326174264313093
240.6681044889121870.6637910221756250.331895511087813
250.6320021330011760.7359957339976480.367997866998824
260.5711288379068880.8577423241862240.428871162093112
270.782043545414310.4359129091713820.217956454585691
280.7413396378251310.5173207243497380.258660362174869
290.6832311636062740.6335376727874520.316768836393726
300.789418428423550.4211631431529020.210581571576451
310.8471088776428080.3057822447143840.152891122357192
320.8128608530515020.3742782938969960.187139146948498
330.7686127680653280.4627744638693440.231387231934672
340.7318356037058840.5363287925882320.268164396294116
350.7063677593318490.5872644813363020.293632240668151
360.7354872440465770.5290255119068460.264512755953423
370.7124346299322560.5751307401354870.287565370067744
380.6666289978551470.6667420042897060.333371002144853
390.6176513638903460.7646972722193090.382348636109654
400.5752149597017560.8495700805964870.424785040298244
410.5279938500366240.9440122999267520.472006149963376
420.8612217805111660.2775564389776690.138778219488834
430.9665833104382970.06683337912340670.0334166895617033
440.968195765983340.06360846803331910.0318042340166595
450.9592560479330490.08148790413390260.0407439520669513
460.9647205182928330.07055896341433380.0352794817071669
470.9717868031831930.05642639363361430.0282131968168071
480.9683609925129390.06327801497412310.0316390074870615
490.9646124249083230.0707751501833530.0353875750916765
500.9555286995619040.0889426008761920.044471300438096
510.9493328443042320.1013343113915360.050667155695768
520.9900909833618450.01981803327631050.00990901663815526
530.9864360035328250.02712799293434940.0135639964671747
540.9910223060725720.01795538785485610.00897769392742805
550.9930041335620150.01399173287596960.0069958664379848
560.9908837337966130.01823253240677330.00911626620338664
570.9874740424208530.0250519151582930.0125259575791465
580.9871492056746050.025701588650790.012850794325395
590.990200165216620.01959966956675950.00979983478337977
600.9890189551237470.02196208975250510.0109810448762525
610.9888637299079210.0222725401841580.011136270092079
620.990426082140180.01914783571963880.00957391785981941
630.9888803808176050.02223923836479010.0111196191823951
640.9892955367363910.02140892652721710.0107044632636085
650.9887657389000370.02246852219992590.0112342610999629
660.986713682394570.02657263521086190.0132863176054309
670.9884284032135690.02314319357286280.0115715967864314
680.9898264183192030.02034716336159330.0101735816807967
690.9892063818901250.0215872362197510.0107936181098755
700.9863757381272550.02724852374549080.0136242618727454
710.9864624439497350.02707511210052940.0135375560502647
720.9829212683772070.03415746324558640.0170787316227932
730.9841504936372290.03169901272554310.0158495063627715
740.9894996134871930.02100077302561480.0105003865128074
750.9859931529239940.02801369415201240.0140068470760062
760.9837312215888440.03253755682231210.016268778411156
770.9790275260196430.04194494796071390.020972473980357
780.9727438300408540.05451233991829290.0272561699591464
790.9789046939270370.04219061214592570.0210953060729628
800.9786668339147240.04266633217055130.0213331660852756
810.9802987951330930.03940240973381480.0197012048669074
820.9780726521365580.04385469572688330.0219273478634417
830.9708758887860570.05824822242788550.0291241112139427
840.9636129145806250.07277417083875030.0363870854193751
850.9844686979080290.03106260418394270.0155313020919714
860.9795301760248670.04093964795026580.0204698239751329
870.97294176953030.05411646093939830.0270582304696992
880.965318818305440.0693623633891190.0346811816945595
890.9565035496042840.08699290079143150.0434964503957157
900.9456790051839530.1086419896320940.0543209948160472
910.9360495390388550.127900921922290.063950460961145
920.9631666497959860.07366670040802810.036833350204014
930.9539761038777340.09204779224453270.0460238961222664
940.948960354309090.1020792913818180.0510396456909092
950.9363909376317440.1272181247365130.0636090623682565
960.9214250050037870.1571499899924260.078574994996213
970.917424809309990.1651503813800190.0825751906900093
980.897594806931740.204810386136520.10240519306826
990.888133783090760.223732433818480.11186621690924
1000.861792857181190.2764142856376210.13820714281881
1010.8326256718965510.3347486562068980.167374328103449
1020.8018491369719120.3963017260561750.198150863028088
1030.8302503461986410.3394993076027180.169749653801359
1040.8725282875519130.2549434248961730.127471712448087
1050.8794083399137980.2411833201724040.120591660086202
1060.8524915602195260.2950168795609490.147508439780474
1070.828686556519090.3426268869618210.17131344348091
1080.8225860546060130.3548278907879750.177413945393988
1090.8125769717782450.3748460564435110.187423028221755
1100.8347472123309770.3305055753380460.165252787669023
1110.8205409284868470.3589181430263070.179459071513153
1120.8675319755252580.2649360489494850.132468024474742
1130.8344548966231930.3310902067536140.165545103376807
1140.8010761977835760.3978476044328490.198923802216425
1150.7600172246084930.4799655507830150.239982775391507
1160.7723196136389310.4553607727221380.227680386361069
1170.7820839599817420.4358320800365170.217916040018258
1180.7622000186412860.4755999627174280.237799981358714
1190.7165573747786840.5668852504426320.283442625221316
1200.8021962436530250.3956075126939490.197803756346975
1210.7680665521219130.4638668957561740.231933447878087
1220.7181076494505740.5637847010988530.281892350549426
1230.7167784968328570.5664430063342860.283221503167143
1240.6819367150583890.6361265698832210.318063284941611
1250.6551771566105580.6896456867788850.344822843389442
1260.6366249755225140.7267500489549720.363375024477486
1270.5703123004906670.8593753990186670.429687699509333
1280.552937924830730.8941241503385390.447062075169269
1290.5415609757494840.9168780485010330.458439024250516
1300.5273171683015340.9453656633969330.472682831698466
1310.4582107475922250.916421495184450.541789252407775
1320.4275904170900050.855180834180010.572409582909995
1330.3913229988154910.7826459976309810.608677001184509
1340.3463124146818660.6926248293637310.653687585318134
1350.2987739248101230.5975478496202450.701226075189877
1360.2741180170187510.5482360340375030.725881982981249
1370.2413305637247190.4826611274494380.758669436275281
1380.2642179808010540.5284359616021080.735782019198946
1390.6435463020351740.7129073959296520.356453697964826
1400.6332558716228390.7334882567543220.366744128377161
1410.5260238330694670.9479523338610660.473976166930533
1420.512125676302660.975748647394680.48787432369734
1430.3780826783545190.7561653567090380.621917321645481
1440.2578906186196720.5157812372393430.742109381380328


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