Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.956521145565202 + 0.122464404572674FindingFriends[t] -0.00611986826304754sum_friends[t] + 0.129901135405866KnowingPeople[t] + 0.0388655008006025sum_know[t] + 0.422882703355402Liked[t] -0.0255765571618549sum_liked[t] + 0.782432477255013Celebrity[t] -0.0824572683867579sum_celeb[t] + 0.579627939212355Sum[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.9565211455652022.451522-0.39020.6969760.348488
FindingFriends0.1224644045726740.1772490.69090.4907140.245357
sum_friends-0.006119868263047540.066175-0.09250.9264430.463221
KnowingPeople0.1299011354058660.1119011.16090.2475930.123797
sum_know0.03886550080060250.0452310.85930.3916010.1958
Liked0.4228827033554020.1696342.49290.0137870.006893
sum_liked-0.02557655716185490.063828-0.40070.6892190.34461
Celebrity0.7824324772550130.2911712.68720.0080420.004021
sum_celeb-0.08245726838675790.117131-0.7040.482570.241285
Sum0.5796279392123550.8875440.65310.5147380.257369


Multiple Linear Regression - Regression Statistics
Multiple R0.716779838383906
R-squared0.513773336713658
Adjusted R-squared0.483800460209705
F-TEST (value)17.1412756011558
F-TEST (DF numerator)9
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.10987944174862
Sum Squared Residuals649.932323772166


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.22754381442041.77245618557957
21211.03423026387180.965769736128203
31513.28765464224841.71234535775158
41210.80898974978381.19101025021617
51010.7713737590258-0.771373759025812
6129.068207063735282.93179293626472
71516.5909272245955-1.59092722459553
8910.0459426712359-1.04594267123586
91212.8313779907896-0.831377990789564
10117.49334633352473.5066536664753
111113.3033553546585-2.30335535465845
121111.9752469677655-0.97524696776552
131512.79499331606972.20500668393034
14711.4918805935504-4.49188059355038
151111.7981279091528-0.798127909152836
161110.38347594364880.616524056351206
171011.9752469677655-1.97524696776552
181414.3737925792916-0.373792579291638
19108.459919297713261.54008070228674
2069.12668671727479-3.12668671727479
21118.71570224270322.28429775729680
221514.31620258170890.683797418291134
231112.1890537027534-1.18905370275341
24129.537952949742552.46204705025745
251412.91557192618531.08442807381466
261514.59773347788810.402266522111863
27914.4282575553238-5.4282575553238
281312.89204166841560.107958331584390
291313.0109285527104-0.0109285527103813
301610.98998650649235.0100134935077
31138.704858715706214.29514128429379
321213.5197917181857-1.51979171818566
331414.5097646766215-0.509764676621488
341110.04814559262670.95185440737331
35910.3684814977708-1.36848149777083
361614.52990261860961.47009738139042
371212.8992561581670-0.899256158166964
38109.478995531705560.521004468294444
391312.85964829977180.140351700228154
401615.45081410485700.549185895142972
411412.94644300785031.05355699214969
42157.984334036199917.01566596380009
4359.58600730887062-4.58600730887062
44810.1581376449133-2.15813764491331
451111.2421258886977-0.242125888697726
461613.72355191203142.27644808796865
471715.09602839222591.90397160777410
4898.172643271323360.827356728676637
49911.3590384594999-2.35903845949989
501314.5003260089276-1.50032600892764
511011.1011837347548-1.10118373475478
52612.4348178203754-6.43481782037539
531212.1066029548912-0.106602954891221
54810.489044264813-2.48904426481301
551411.73386840405112.26613159594890
561213.1770648027584-1.17706480275844
571110.61716921966990.382830780330139
581614.65450923027661.34549076972341
59810.6549086700045-2.65490867000448
601514.94180470419330.0581952958066707
6178.97415066458367-1.97415066458367
621614.30731107542211.69268892457792
631412.84429871588881.15570128411122
641613.42507304605632.57492695394367
65910.0659685416539-1.06596854165392
661412.14472289032991.85527710967014
671113.3807949873978-2.38079498739784
681310.46815748147182.53184251852822
691513.13064518488931.86935481511073
7055.67009245966134-0.670092459661344
711513.17706480275841.82293519724156
721312.67804178118130.321958218818715
731112.3299070471522-1.32990704715223
741114.1104046332066-3.11040463320657
751212.6493121832400-0.649312183240023
761213.4394382834657-1.43943828346566
771212.4158317414769-0.415831741476938
781211.99496313662140.00503686337855314
791410.86077385384473.13922614615530
8067.802159072467-1.80215907246700
8179.76818227260353-2.76818227260353
821412.46865706483751.53134293516252
831413.99438967749270.00561032250726964
841011.1372796911909-1.13727969119086
85139.023126857234873.97687314276513
861212.2931037728192-0.293103772819169
8799.26363082967135-0.263630829671349
881211.92179445414620.078205545853794
891614.83814335879821.16185664120178
901010.4400732807768-0.440073280776769
911413.14430851883860.855691481161362
921013.5346442718065-3.53464427180645
931615.40106742854600.598932571453977
941513.47772632170631.52227367829373
951211.46812922848690.531870771513145
96109.333700438483280.666299561516719
97810.4774162463660-2.47741624636605
9888.65893008827594-0.658930088275938
991112.654915533214-1.654915533214
1001312.45344773223500.546552267765038
1011615.58844563563380.411554364366184
1021614.79512781522981.20487218477023
1031415.4723250021853-1.47232500218526
104119.028180577217141.97181942278286
10547.0878417326335-3.08784173263349
1061414.4196353340098-0.419635334009809
107910.6400561163837-1.64005611638368
1081415.0977608916113-1.09776089161128
109810.1364301921225-2.13643019212252
110810.7159113020490-2.71591130204898
1111111.8739138822720-0.873913882271969
1121213.1501689898151-1.15016898981508
1131111.6144296642982-0.614429664298243
1141413.37265094615950.627349053840509
1151514.27346513774690.726534862253112
1161613.43498887774432.56501112225571
1171612.94662031549473.05337968450529
1181112.8392689128711-1.83926891287107
1191414.2583045582921-0.258304558292107
1201410.83761855576303.16238144423698
1211211.62982402585320.370175974146841
1221412.70061741752521.29938258247478
123810.8907755528467-2.8907755528467
1241314.1199328683343-1.11993286833428
1251614.02194793681381.9780520631862
1261211.12497875499280.875021245007234
1271615.30152108545700.698478914543027
1281212.6536387475452-0.653638747545174
1291111.4526573961540-0.452657396154021
13045.62386162589304-1.62386162589304
1311615.24579149419840.754208505801591
1321512.59584057025912.40415942974090
1331011.5261734935842-1.52617349358419
1341313.3974531743112-0.397453174311151
1351513.13397041984301.86602958015695
1361210.50302169121001.49697830878999
1371413.68148651555200.318513484448036
138710.0808068809741-3.08080688097409
1391913.92096428288895.07903571711112
1401213.0880115314566-1.08801153145658
1411211.56804360834570.431956391654331
1421313.3416025568501-0.341602556850117
1431512.22752076769552.77247923230451
14489.35313962372137-1.35313962372137
1451210.90430853882711.09569146117285
1461011.1754834642238-1.17548346422380
147811.4315364100653-3.43153641006535
1481014.6364792060832-4.63647920608323
1491513.92798415335961.07201584664036
1501614.67456570254841.32543429745160
1511313.1309012423538-0.130901242353844
1521615.01295805116990.987041948830091
15399.76401987267188-0.764019872671875
1541413.07761853577450.92238146422549
1551413.25221102053350.747788979466463
1561210.13840971585631.86159028414366


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.1857188285965610.3714376571931220.814281171403439
140.7760120014895160.4479759970209690.223987998510484
150.6607512066527450.678497586694510.339248793347255
160.6146978123321990.7706043753356030.385302187667801
170.5122675172013890.9754649655972230.487732482798611
180.4162445663921510.8324891327843020.583755433607849
190.3469405663617110.6938811327234220.653059433638289
200.6806131657987030.6387736684025940.319386834201297
210.6108025123210980.7783949753578040.389197487678902
220.5579587582997720.8840824834004560.442041241700228
230.5300091370696620.9399817258606750.469990862930338
240.5241010233676530.9517979532646930.475898976632347
250.5849372562665620.8301254874668770.415062743733438
260.5224489880027310.9551020239945380.477551011997269
270.7371402686081540.5257194627836910.262859731391846
280.6838835486941810.6322329026116380.316116451305819
290.628380757419480.7432384851610410.371619242580520
300.8194045550826960.3611908898346070.180595444917304
310.8840705675466120.2318588649067760.115929432453388
320.8552166371249420.2895667257501170.144783362875058
330.81740435246080.3651912950784010.182595647539201
340.7842950994893870.4314098010212260.215704900510613
350.7693022783549460.4613954432901070.230697721645054
360.768574374712260.4628512505754790.231425625287740
370.7341112505739550.531777498852090.265888749426045
380.6866217059458650.6267565881082690.313378294054135
390.6443349871585070.7113300256829860.355665012841493
400.5954738914237010.8090522171525970.404526108576299
410.5601628132880130.8796743734239730.439837186711987
420.817026086140240.3659478277195190.182973913859760
430.9611000445245630.07779991095087490.0388999554754375
440.963431247017200.07313750596559780.0365687529827989
450.951966749862720.09606650027456070.0480332501372804
460.9574978528868640.08500429422627140.0425021471131357
470.9499752555751030.1000494888497940.050024744424897
480.944551739905480.1108965201890410.0554482600945207
490.9428904563331120.1142190873337760.057109543666888
500.933376903455980.1332461930880390.0666230965440194
510.9290429230589190.1419141538821620.070957076941081
520.9919177029708740.01616459405825240.0080822970291262
530.9888733299138770.02225334017224690.0111266700861234
540.9923466949673780.01530661006524410.00765330503262204
550.9947338689136360.0105322621727290.0052661310863645
560.993273511690110.01345297661977900.00672648830988949
570.9907204861819070.01855902763618500.00927951381809248
580.9887276970818750.022544605836250.011272302918125
590.9922382604035220.01552347919295570.00776173959647783
600.9913993778089660.01720124438206730.00860062219103365
610.9913591353364040.01728172932719220.0086408646635961
620.99081393128150.01837213743699920.00918606871849959
630.9892560564113040.02148788717739230.0107439435886962
640.9913372657873150.01732546842536910.00866273421268455
650.9892090224489770.02158195510204580.0107909775510229
660.988401552160470.02319689567905970.0115984478395299
670.9888582113465090.02228357730698210.0111417886534910
680.9900785657008640.01984286859827220.0099214342991361
690.9896728274045840.02065434519083130.0103271725954156
700.9866114841021730.02677703179565450.0133885158978273
710.9862372399554730.02752552008905350.0137627600445268
720.9816028104803180.03679437903936410.0183971895196820
730.9781144551958210.04377108960835720.0218855448041786
740.9876114960706630.02477700785867410.0123885039293370
750.9839452139048820.03210957219023570.0160547860951178
760.9811482519723440.03770349605531190.0188517480276559
770.9748979562271220.0502040875457550.0251020437728775
780.9669834339911520.06603313201769570.0330165660088478
790.9778840268452330.04423194630953450.0221159731547673
800.9758805335952920.04823893280941670.0241194664047083
810.9812934879876660.03741302402466820.0187065120123341
820.981948902557110.03610219488578080.0180510974428904
830.9762812733953850.047437453209230.023718726604615
840.9714319579320840.05713608413583120.0285680420679156
850.9918752214871540.01624955702569200.00812477851284599
860.9888869612938480.02222607741230350.0111130387061517
870.9849343657535680.03013126849286440.0150656342464322
880.9798891612749920.04022167745001520.0201108387250076
890.9745932030637460.05081359387250740.0254067969362537
900.9668617072900540.06627658541989180.0331382927099459
910.9593457546060740.08130849078785140.0406542453939257
920.9808522651709150.03829546965817070.0191477348290854
930.9747493995132170.05050120097356510.0252506004867826
940.9691450396364850.06170992072702980.0308549603635149
950.9600236245646880.07995275087062350.0399763754353118
960.9480110014039370.1039779971921260.0519889985960632
970.9511565755469180.09768684890616450.0488434244530823
980.937678192372410.1246436152551830.0623218076275913
990.9349795788342140.1300408423315730.0650204211657863
1000.9192020670838820.1615958658322360.080797932916118
1010.9054332731017150.1891334537965710.0945667268982853
1020.8858673521150160.2282652957699670.114132647884984
1030.9112457164125420.1775085671749150.0887542835874575
1040.941138907021940.1177221859561220.058861092978061
1050.9418202883484240.1163594233031520.0581797116515760
1060.924314930224090.1513701395518180.0756850697759092
1070.9182159677559640.1635680644880720.0817840322440358
1080.9250448879845050.1499102240309900.0749551120154952
1090.9165666257495960.1668667485008080.0834333742504041
1100.9052093887736410.1895812224527170.0947906112263585
1110.8845545052820010.2308909894359970.115445494717999
1120.8830947170461940.2338105659076130.116905282953806
1130.8528017073331060.2943965853337880.147198292666894
1140.8202025407975020.3595949184049970.179797459202498
1150.7803039923531680.4393920152936640.219696007646832
1160.7739979863640780.4520040272718430.226002013635922
1170.7838540939065390.4322918121869220.216145906093461
1180.7663660445027060.4672679109945880.233633955497294
1190.717065646059350.5658687078813010.282934353940651
1200.7904971266629210.4190057466741570.209502873337079
1210.7565319982311440.4869360035377120.243468001768856
1220.7152155086409220.5695689827181570.284784491359078
1230.7137470136486390.5725059727027230.286252986351361
1240.6588711744761720.6822576510476560.341128825523828
1250.6584475076237910.6831049847524170.341552492376209
1260.6380857816234840.7238284367530330.361914218376517
1270.573311410424490.853377179151020.42668858957551
1280.6079598199070750.784080360185850.392040180092925
1290.6017893647925520.7964212704148960.398210635207448
1300.5734541189458770.8530917621082460.426545881054123
1310.4969080032710290.9938160065420580.503091996728971
1320.4759302549179330.9518605098358650.524069745082067
1330.4725165606904250.945033121380850.527483439309575
1340.397424929262940.794849858525880.60257507073706
1350.3589823513791260.7179647027582520.641017648620874
1360.3602484434013890.7204968868027780.639751556598611
1370.2762863127323830.5525726254647660.723713687267617
1380.3388029722779890.6776059445559770.661197027722011
1390.6299649576913650.740070084617270.370035042308635
1400.7911030588471740.4177938823056520.208896941152826
1410.723701383627540.552597232744920.27629861637246
1420.6841626069634020.6316747860731970.315837393036598
1430.731337446369690.5373251072606210.268662553630311


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level350.267175572519084NOK
10% type I error level490.374045801526718NOK