Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.956521145565252 + 0.122464404572676FindingFriends[t] -0.00611986826304842sum_friends[t] + 0.129901135405865KnowingPeople[t] + 0.0388655008006026sum_know[t] + 0.422882703355404Liked[t] -0.0255765571618555sum_liked[t] + 0.782432477255014Celebrity[t] -0.0824572683867577sum_celeb[t] + 0.579627939212371Sum[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.9565211455652522.451522-0.39020.6969760.348488
FindingFriends0.1224644045726760.1772490.69090.4907140.245357
sum_friends-0.006119868263048420.066175-0.09250.9264430.463221
KnowingPeople0.1299011354058650.1119011.16090.2475930.123797
sum_know0.03886550080060260.0452310.85930.3916010.1958
Liked0.4228827033554040.1696342.49290.0137870.006893
sum_liked-0.02557655716185550.063828-0.40070.6892190.34461
Celebrity0.7824324772550140.2911712.68720.0080420.004021
sum_celeb-0.08245726838675770.117131-0.7040.482570.241285
Sum0.5796279392123710.8875440.65310.5147380.257369


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
11311.22754381442051.77245618557947
21211.03423026387180.9657697361282
31513.28765464224841.71234535775157
41210.80898974978381.19101025021616
51010.7713737590258-0.771373759025813
6129.068207063735272.93179293626473
71516.5909272245955-1.59092722459553
8910.0459426712359-1.04594267123586
91212.8313779907896-0.831377990789559
10117.493346333524683.50665366647532
111113.3033553546585-2.30335535465845
121111.9752469677655-0.975246967765519
131512.79499331606972.20500668393034
14711.4918805935504-4.49188059355038
151111.7981279091528-0.798127909152844
161110.38347594364880.616524056351211
171011.9752469677655-1.97524696776552
181414.3737925792916-0.373792579291638
19108.459919297713261.54008070228674
2069.12668671727478-3.12668671727478
21118.71570224270322.2842977572968
221514.31620258170890.683797418291133
231112.1890537027534-1.18905370275341
24129.537952949742552.46204705025745
251412.91557192618531.08442807381467
261514.59773347788810.402266522111864
27914.4282575553238-5.4282575553238
281312.89204166841560.107958331584388
291313.0109285527104-0.0109285527103798
301610.98998650649235.0100134935077
31138.704858715706224.29514128429379
321213.5197917181857-1.51979171818566
331414.5097646766215-0.509764676621488
341110.04814559262670.951854407373312
35910.3684814977708-1.36848149777083
361614.52990261860961.47009738139043
371212.899256158167-0.899256158166965
38109.478995531705560.521004468294436
391312.85964829977180.140351700228155
401615.4508141048570.549185895142973
411412.94644300785031.05355699214969
42157.98433403619997.0156659638001
4359.58600730887062-4.58600730887062
44810.1581376449133-2.15813764491331
451111.2421258886977-0.242125888697728
461613.72355191203142.27644808796864
471715.09602839222591.90397160777411
4898.172643271323360.827356728676637
49911.3590384594999-2.35903845949989
501314.5003260089276-1.50032600892764
511011.1011837347548-1.10118373475479
52612.4348178203754-6.43481782037539
531212.1066029548912-0.106602954891223
54810.489044264813-2.48904426481301
551411.73386840405112.2661315959489
561213.1770648027584-1.17706480275844
571110.61716921966990.382830780330143
581614.65450923027661.34549076972341
59810.6549086700045-2.65490867000447
601514.94180470419330.058195295806669
6178.97415066458367-1.97415066458367
621614.30731107542211.69268892457793
631412.84429871588881.15570128411123
641613.42507304605632.57492695394366
65910.0659685416539-1.06596854165392
661412.14472289032991.85527710967015
671113.3807949873978-2.38079498739784
681310.46815748147182.53184251852821
691513.13064518488931.86935481511073
7055.67009245966134-0.67009245966134
711513.17706480275841.82293519724156
721312.67804178118130.321958218818717
731112.3299070471522-1.32990704715223
741114.1104046332066-3.11040463320658
751212.64931218324-0.649312183240025
761213.4394382834657-1.43943828346566
771212.4158317414769-0.415831741476936
781211.99496313662140.00503686337855331
791410.86077385384473.1392261461553
8067.802159072467-1.802159072467
8179.76818227260353-2.76818227260353
821412.46865706483751.53134293516251
831413.99438967749270.00561032250727054
841011.1372796911909-1.13727969119086
85139.023126857234863.97687314276514
861212.2931037728192-0.293103772819169
8799.26363082967135-0.263630829671345
881211.92179445414620.078205545853795
891614.83814335879821.16185664120177
901010.4400732807768-0.440073280776767
911413.14430851883860.855691481161359
921013.5346442718065-3.53464427180645
931615.4010674285460.598932571453979
941513.47772632170631.52227367829373
951211.46812922848690.531870771513146
96109.333700438483280.666299561516721
97810.477416246366-2.47741624636605
9888.65893008827593-0.658930088275935
991112.654915533214-1.654915533214
1001312.4534477322350.546552267765037
1011615.58844563563380.411554364366185
1021614.79512781522981.20487218477024
1031415.4723250021853-1.47232500218527
104119.028180577217141.97181942278286
10547.08784173263349-3.08784173263349
1061414.4196353340098-0.419635334009812
107910.6400561163837-1.64005611638368
1081415.0977608916113-1.09776089161128
109810.1364301921225-2.13643019212252
110810.715911302049-2.71591130204897
1111111.873913882272-0.873913882271967
1121213.1501689898151-1.15016898981508
1131111.6144296642982-0.614429664298249
1141413.37265094615950.627349053840505
1151514.27346513774690.726534862253111
1161613.43498887774432.56501112225571
1171612.94662031549473.05337968450529
1181112.8392689128711-1.83926891287108
1191414.2583045582921-0.258304558292105
1201410.8376185557633.16238144423698
1211211.62982402585320.370175974146844
1221412.70061741752521.29938258247478
123810.8907755528467-2.8907755528467
1241314.1199328683343-1.11993286833428
1251614.02194793681381.9780520631862
1261211.12497875499280.875021245007226
1271615.3015210854570.698478914543025
1281212.6536387475452-0.653638747545172
1291111.452657396154-0.452657396154021
13045.62386162589302-1.62386162589302
1311615.24579149419840.754208505801594
1321512.59584057025912.40415942974089
1331011.5261734935842-1.52617349358419
1341313.3974531743111-0.397453174311143
1351513.1339704198431.86602958015695
1361210.503021691211.49697830878999
1371413.6814865155520.318513484448037
138710.0808068809741-3.08080688097408
1391913.92096428288895.07903571711112
1401213.0880115314566-1.08801153145658
1411211.56804360834570.431956391654338
1421313.3416025568501-0.341602556850117
1431512.22752076769552.77247923230451
14489.35313962372138-1.35313962372138
1451210.90430853882711.09569146117285
1461011.1754834642238-1.17548346422381
147811.4315364100654-3.43153641006535
1481014.6364792060832-4.63647920608323
1491513.92798415335961.07201584664036
1501614.67456570254841.32543429745159
1511313.1309012423538-0.130901242353846
1521615.01295805116990.987041948830092
15399.76401987267187-0.764019872671873
1541413.07761853577450.92238146422549
1551413.25221102053350.74778897946646
1561210.13840971585631.86159028414367


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.185718828596560.371437657193120.81428117140344
140.7760120014895150.447975997020970.223987998510485
150.6607512066527440.6784975866945130.339248793347256
160.6146978123321980.7706043753356040.385302187667802
170.5122675172013890.9754649655972220.487732482798611
180.4162445663921520.8324891327843040.583755433607848
190.3469405663617140.6938811327234280.653059433638286
200.6806131657987040.6387736684025920.319386834201296
210.6108025123210980.7783949753578050.389197487678902
220.5579587582997720.8840824834004560.442041241700228
230.5300091370696590.9399817258606820.469990862930341
240.5241010233676540.9517979532646920.475898976632346
250.5849372562665620.8301254874668770.415062743733438
260.5224489880027320.9551020239945370.477551011997268
270.7371402686081540.5257194627836920.262859731391846
280.683883548694180.632232902611640.31611645130582
290.6283807574194770.7432384851610470.371619242580523
300.8194045550826940.3611908898346120.180595444917306
310.8840705675466120.2318588649067760.115929432453388
320.8552166371249410.2895667257501180.144783362875059
330.81740435246080.3651912950784010.182595647539201
340.7842950994893870.4314098010212270.215704900510613
350.7693022783549450.461395443290110.230697721645055
360.7685743747122610.4628512505754780.231425625287739
370.7341112505739570.5317774988520870.265888749426043
380.6866217059458660.6267565881082690.313378294054134
390.6443349871585070.7113300256829870.355665012841493
400.5954738914237020.8090522171525970.404526108576298
410.5601628132880160.8796743734239680.439837186711984
420.8170260861402380.3659478277195240.182973913859762
430.9611000445245620.07779991095087640.0388999554754382
440.96343124701720.07313750596559860.0365687529827993
450.951966749862720.09606650027456080.0480332501372804
460.9574978528868650.085004294226270.042502147113135
470.9499752555751030.1000494888497930.0500247444248967
480.9445517399054780.1108965201890440.0554482600945219
490.9428904563331120.1142190873337770.0571095436668883
500.933376903455980.133246193088040.0666230965440198
510.9290429230589210.1419141538821570.0709570769410787
520.9919177029708740.01616459405825260.00808229702912631
530.9888733299138770.02225334017224650.0111266700861232
540.9923466949673780.01530661006524420.0076533050326221
550.9947338689136350.0105322621727290.0052661310863645
560.993273511690110.0134529766197790.00672648830988948
570.9907204861819070.0185590276361850.0092795138180925
580.9887276970818750.022544605836250.011272302918125
590.9922382604035220.01552347919295530.00776173959647766
600.9913993778089660.01720124438206740.00860062219103369
610.9913591353364040.01728172932719260.00864086466359628
620.99081393128150.01837213743699930.00918606871849963
630.9892560564113040.02148788717739260.0107439435886963
640.9913372657873160.01732546842536890.00866273421268446
650.9892090224489770.0215819551020460.010790977551023
660.988401552160470.02319689567905980.0115984478395299
670.988858211346510.02228357730698130.0111417886534906
680.9900785657008640.01984286859827220.00992143429913608
690.9896728274045840.02065434519083140.0103271725954157
700.9866114841021720.02677703179565490.0133885158978275
710.9862372399554730.02752552008905330.0137627600445267
720.9816028104803180.03679437903936430.0183971895196822
730.9781144551958210.04377108960835770.0218855448041788
740.9876114960706630.02477700785867390.0123885039293369
750.9839452139048820.03210957219023550.0160547860951177
760.9811482519723440.03770349605531150.0188517480276557
770.9748979562271230.05020408754575420.0251020437728771
780.9669834339911530.06603313201769410.0330165660088471
790.9778840268452320.04423194630953520.0221159731547676
800.9758805335952920.04823893280941660.0241194664047083
810.9812934879876660.03741302402466790.0187065120123339
820.981948902557110.03610219488578110.0180510974428905
830.9762812733953850.04743745320922920.0237187266046146
840.9714319579320850.05713608413582960.0285680420679148
850.9918752214871540.01624955702569190.00812477851284593
860.9888869612938480.02222607741230340.0111130387061517
870.9849343657535680.03013126849286440.0150656342464322
880.9798891612749920.04022167745001570.0201108387250078
890.9745932030637460.05081359387250740.0254067969362537
900.9668617072900540.06627658541989270.0331382927099464
910.9593457546060740.08130849078785140.0406542453939257
920.9808522651709150.03829546965817040.0191477348290852
930.9747493995132170.05050120097356520.0252506004867826
940.9691450396364850.06170992072703030.0308549603635151
950.9600236245646880.07995275087062310.0399763754353115
960.9480110014039370.1039779971921270.0519889985960634
970.9511565755469170.09768684890616530.0488434244530827
980.9376781923724080.1246436152551830.0623218076275916
990.9349795788342140.1300408423315720.065020421165786
1000.9192020670838820.1615958658322350.0807979329161176
1010.9054332731017150.189133453796570.094566726898285
1020.8858673521150190.2282652957699630.114132647884981
1030.9112457164125420.1775085671749150.0887542835874576
1040.9411389070219390.1177221859561230.0588610929780614
1050.9418202883484250.116359423303150.0581797116515749
1060.924314930224090.151370139551820.0756850697759099
1070.9182159677559640.1635680644880720.0817840322440362
1080.9250448879845050.149910224030990.0749551120154951
1090.9165666257495960.1668667485008080.083433374250404
1100.9052093887736410.1895812224527170.0947906112263587
1110.8845545052820020.2308909894359960.115445494717998
1120.8830947170461930.2338105659076140.116905282953807
1130.8528017073331060.2943965853337890.147198292666894
1140.8202025407975020.3595949184049950.179797459202498
1150.7803039923531670.4393920152936660.219696007646833
1160.7739979863640790.4520040272718420.226002013635921
1170.7838540939065390.4322918121869230.216145906093461
1180.7663660445027060.4672679109945880.233633955497294
1190.7170656460593480.5658687078813030.282934353940652
1200.7904971266629220.4190057466741570.209502873337078
1210.7565319982311440.4869360035377110.243468001768856
1220.7152155086409210.5695689827181580.284784491359079
1230.7137470136486390.5725059727027220.286252986351361
1240.658871174476170.682257651047660.34112882552383
1250.6584475076237920.6831049847524160.341552492376208
1260.6380857816234850.723828436753030.361914218376515
1270.573311410424490.853377179151020.42668858957551
1280.6079598199070740.7840803601858520.392040180092926
1290.6017893647925530.7964212704148940.398210635207447
1300.5734541189458760.8530917621082470.426545881054124
1310.4969080032710270.9938160065420540.503091996728973
1320.4759302549179350.951860509835870.524069745082065
1330.4725165606904270.9450331213808530.527483439309573
1340.3974249292629390.7948498585258780.602575070737061
1350.3589823513791240.7179647027582480.641017648620876
1360.360248443401390.720496886802780.63975155659861
1370.2762863127323840.5525726254647680.723713687267616
1380.3388029722779920.6776059445559830.661197027722008
1390.6299649576913660.7400700846172680.370035042308634
1400.7911030588471750.4177938823056510.208896941152825
1410.7237013836275380.5525972327449250.276298616372462
1420.6841626069634010.6316747860731980.315837393036599
1430.7313374463696910.5373251072606180.268662553630309


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