Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.230262856605776 + 0.124421759330556FindingFriends[t] + 0.242447469145869KnowingPeople[t] + 0.352480645391409Liked[t] + 0.633321617244387Celebrity[t] + 0.320786045997284B[t] -0.112460065107071`2B`[t] -0.0264621349487461`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)-0.2302628566057761.496946-0.15380.877960.43898
FindingFriends0.1244217593305560.0982381.26650.2073130.103657
KnowingPeople0.2424474691458690.0616133.9350.0001286.4e-05
Liked0.3524806453914090.0973613.62030.0004030.000202
Celebrity0.6333216172443870.1575594.01969.3e-054.6e-05
B0.3207860459972840.2277081.40880.1610030.080501
`2B`-0.1124600651070710.211909-0.53070.5964220.298211
`3B`-0.02646213494874610.197252-0.13420.8934630.446732


Multiple Linear Regression - Regression Statistics
Multiple R0.712454731757267
R-squared0.507591744803319
Adjusted R-squared0.484302165165638
F-TEST (value)21.7948006232827
F-TEST (DF numerator)7
F-TEST (DF denominator)148
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.10885387487063
Sum Squared Residuals658.19517050242


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11513.49188397222301.50811602777696
21210.93714875555081.06285124444918
3910.5816936253995-1.58169362539954
41011.9428237148048-1.94282371480476
51313.1473958604014-0.147395860401417
61615.29880363022770.701196369772291
71412.89265936359501.10734063640503
81614.27328390816291.72671609183711
91011.0390775405863-1.03907754058634
10810.3179128675937-2.31791286759371
111212.8106095672703-0.810609567270255
121515.3967329281444-0.396732928144397
131410.99117955898243.00882044101760
141412.01856829243441.98143170756563
151212.6206110036536-0.620611003653647
161210.95029222239091.04970777760915
17109.249109246540930.750890753459065
1846.55027417147198-2.55027417147198
191414.8774888868817-0.877488886881719
201514.24510953208460.754890467915424
211613.71250760834642.28749239165361
221211.20193242873410.798067571265851
231212.1330708614301-0.133070861430109
241210.69034774077841.30965225922162
251210.72631435462401.27368564537604
261212.4458643738576-0.445864373857619
27117.884890772643213.11510922735679
281113.9680223233188-2.96802232331881
291111.7675713941754-0.767571394175375
301111.4255678165932-0.425567816593165
311111.1459749685375-0.145974968537523
32119.050666843013221.94933315698678
331514.57388811165160.426111888348367
341514.99392741228750.00607258771248316
35914.2177051346886-5.21770513468858
361610.41901124782225.58098875217777
37138.280203987026814.71979601297319
38910.7569459460289-1.75694594602893
391614.20054130248481.79945869751516
401213.0951983771543-1.09519837715433
41158.408134301024736.59186569897527
4259.36799568762837-4.36799568762837
431111.2035196131437-0.203519613143663
441713.51799774691463.4820022530854
4598.19249771517370.807502284826293
461315.2231498834182-2.22314988341823
471614.06939031337621.93060968662382
481613.76415643553382.23584356446622
491413.73405832019420.265941679805817
501613.48085824835412.51914175164585
511113.2499937867094-2.24999378670944
521111.741251443332-0.741251443331996
531113.7720367233744-2.7720367233744
541212.6262885060021-0.626288506002134
551213.4635522320450-1.46355223204504
561212.3861863945427-0.386186394542674
571413.91167747059700.0883225294030302
581011.3451145043230-1.34511450432298
5999.02358910698186-0.0235891069818569
601211.64896932129870.351030678701326
611010.4042439780149-0.404243978014899
621413.41912317899830.580876821001678
63810.3134434748435-2.31344347484351
641614.36858902896791.63141097103211
651415.5859836000602-1.58598360006016
661410.78433820450653.21566179549352
671211.17524267907010.824757320929883
681413.39728720705740.602712792942648
69710.4318878855802-3.43188788558019
701914.51576170377394.48423829622612
711512.77711534874572.22288465125434
72811.3037151302295-3.30371513022951
731014.6807010008753-4.68070100087534
741313.27157181747-0.271571817470007
751311.50509746570611.49490253429386
761010.7766485247344-0.776648524734444
77129.410449181809332.58955081819067
781516.6511419410771-1.65114194107707
79711.1576034824981-4.15760348249814
801414.1882464279985-0.188246427998494
81108.722984903493121.27701509650688
8269.87486234129855-3.87486234129855
831111.6748290542446-0.674829054244613
84129.787156069445452.21284393055455
851414.1315864589884-0.131586458988351
861213.5195849313241-1.51958493132412
871414.2121394899803-0.212139489980343
881110.32287572221020.67712427778976
89109.239989152616970.760010847383033
901312.74943482262260.250565177377419
91810.2994432662147-2.29944326621474
92912.3323261542906-3.3323261542906
93612.4117877982193-6.4117877982193
941212.5942910528103-0.594291052810268
951412.2878935898981.712106410102
961110.97860878257450.0213912174254614
97810.0902419679002-2.09024196790019
9879.6528966509552-2.6528966509552
9999.51567349294914-0.515673492949142
1001413.01336990345220.986630096547774
1011310.35630637030082.64369362969918
1021512.63140911280732.36859088719273
10355.66587982304402-0.66587982304402
1041512.00365314027112.99634685972888
1051312.05101176546040.948988234539627
1061211.63932265829650.360677341703525
10768.18219945002766-2.18219945002766
108710.0437707990537-3.04377079905372
109139.567126335512163.43287366448784
1101615.52799577489330.472004225106696
1111013.2648729141570-3.26487291415702
1121615.53568545466530.464314545334663
1131513.59607838258561.40392161741439
11488.80344751540832-0.803447515408321
1151112.9339795991712-1.93397959917119
1161312.46730022051280.532699779487186
1171615.08154285332050.918457146679522
118118.51655885429732.48344114570271
1191414.3790357703120-0.379035770311963
120910.1101658692283-1.11016586922833
121810.1606632502643-2.16066325026429
122811.2847849228642-3.28478492286419
1231112.0080673388279-1.00806733882794
1241213.1924028358116-1.19240283581159
1251111.8712206598241-0.871220659824114
1261413.82254078459190.177459215408067
1271112.962784084254-1.96278408425400
1281412.62223781417331.3777621858267
1291313.7321286558768-0.732128655876788
1301211.02714617282800.972853827172018
13146.48379112945435-2.48379112945435
1321512.42992421933542.57007578066460
1331011.3488926688192-1.34889266881919
1341313.1412815596335-0.141281559633466
1351513.09634982330571.90365017669425
1361212.5095564264436-0.509556426443611
1371313.7125076083464-0.712507608346393
13888.08659976948447-0.0865997694844746
1391010.7127258498808-0.712725849880818
1401514.07298078730760.927019212692424
1411614.41349043883051.58650956116952
1421615.29323798551950.706762014480532
1431413.01046375078770.989536249212332
1441412.88312455823301.11687544176698
1451210.00667092660341.99332907339660
1461512.06143118789172.93856881210832
1471312.23425077283380.765749227166247
1481613.58808584901582.41191415098416
1491413.60770689654620.392293103453768
150810.0834579320176-2.08345793201762
1511613.63416903149502.36583096850502
1521615.65764999866920.342350001330761
1531213.1692283209965-1.16922832099650
1541111.2909230311990-0.290923031199022
1551615.36332608762070.636673912379299
156910.0834579320176-1.08345793201761


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.2784212606525470.5568425213050950.721578739347453
120.2431650259914990.4863300519829980.756834974008501
130.3404026993107370.6808053986214740.659597300689263
140.2423190302165400.4846380604330810.75768096978346
150.1720234125948690.3440468251897380.82797658740513
160.2253994652983080.4507989305966160.774600534701692
170.2002020276965110.4004040553930220.799797972303489
180.2383530427099080.4767060854198160.761646957290092
190.1887465601370540.3774931202741080.811253439862946
200.1324232615460350.2648465230920710.867576738453965
210.1281968614095890.2563937228191780.87180313859041
220.08759865542035620.1751973108407120.912401344579644
230.0588579555908380.1177159111816760.941142044409162
240.04898931356299820.09797862712599640.951010686437002
250.04065573349359890.08131146698719790.959344266506401
260.03128717094482280.06257434188964550.968712829055177
270.03772713579661710.07545427159323420.962272864203383
280.1504142737418970.3008285474837940.849585726258103
290.1158975491005400.2317950982010810.88410245089946
300.08799280180674420.1759856036134880.912007198193256
310.06328088872631910.1265617774526380.93671911127368
320.05667237902011460.1133447580402290.943327620979885
330.04003389424032780.08006778848065550.959966105759672
340.0276826605678980.0553653211357960.972317339432102
350.1223711215158570.2447422430317140.877628878484143
360.37375689484930.74751378969860.6262431051507
370.5604871719148220.8790256561703560.439512828085178
380.5204286890167830.9591426219664350.479571310983217
390.5349044089738120.9301911820523760.465095591026188
400.5170300172314080.9659399655371840.482969982768592
410.8136442981279530.3727114037440940.186355701872047
420.898223173542940.2035536529141220.101776826457061
430.8732553150196780.2534893699606440.126744684980322
440.9129185386093920.1741629227812160.087081461390608
450.8962791568263320.2074416863473370.103720843173668
460.8942868345340330.2114263309319340.105713165465967
470.887707339082060.224585321835880.11229266091794
480.8926267701410810.2147464597178380.107373229858919
490.8672004596846440.2655990806307120.132799540315356
500.8721202636851810.2557594726296380.127879736314819
510.8746702329691070.2506595340617860.125329767030893
520.8548965032578630.2902069934842730.145103496742137
530.884613012427170.2307739751456590.115386987572830
540.8677450999593830.2645098000812350.132254900040617
550.8497566650077160.3004866699845680.150243334992284
560.8198377925622620.3603244148754750.180162207437738
570.7854946649723310.4290106700553380.214505335027669
580.7710727022251050.4578545955497890.228927297774895
590.7400600886526150.5198798226947710.259939911347385
600.7096349056095250.580730188780950.290365094390475
610.6805765146817720.6388469706364550.319423485318228
620.6406138455323570.7187723089352870.359386154467643
630.6949655234408610.6100689531182770.305034476559139
640.685583464719220.628833070561560.31441653528078
650.6713675254812040.6572649490375920.328632474518796
660.7086271156202090.5827457687595820.291372884379791
670.6701973107172990.6596053785654030.329802689282701
680.6275726475758780.7448547048482440.372427352424122
690.7211105744015780.5577788511968440.278889425598422
700.8443281610086970.3113436779826060.155671838991303
710.8416657878714150.3166684242571690.158334212128585
720.8861435567971430.2277128864057140.113856443202857
730.9560401147761270.08791977044774510.0439598852238725
740.9438246049856140.1123507900287720.0561753950143859
750.9344517869264580.1310964261470840.0655482130735418
760.920943128418860.1581137431622810.0790568715811406
770.9297456465611790.1405087068776420.0702543534388212
780.9262660080158450.1474679839683100.0737339919841548
790.9707001532564840.0585996934870320.029299846743516
800.9618533748189190.07629325036216220.0381466251810811
810.955950086110460.088099827779080.04404991388954
820.9745206942316250.05095861153675050.0254793057683752
830.9676515598436730.06469688031265440.0323484401563272
840.9702206025598860.05955879488022720.0297793974401136
850.9610507522144480.07789849557110330.0389492477855516
860.955493003544780.08901399291044070.0445069964552204
870.9447245431401430.1105509137197150.0552754568598574
880.9401138661504860.1197722676990290.0598861338495143
890.938682202274280.1226355954514390.0613177977257194
900.9227770247084270.1544459505831470.0772229752915733
910.9268583159551520.1462833680896950.0731416840448477
920.9632786301777810.07344273964443730.0367213698222187
930.9986461069010680.002707786197863660.00135389309893183
940.998059354227260.003881291545480860.00194064577274043
950.9977055430372960.004588913925409010.00229445696270450
960.9966432529452970.006713494109405790.00335674705470289
970.9967623367558270.006475326488345340.00323766324417267
980.9973774157979930.005245168404013510.00262258420200675
990.9965872670305720.006825465938855860.00341273296942793
1000.9951235713910320.009752857217936270.00487642860896813
1010.9978061973653370.004387605269326280.00219380263466314
1020.9974482619475520.005103476104896970.00255173805244849
1030.996875478318580.006249043362839570.00312452168141978
1040.997179350908690.005641298182620450.00282064909131023
1050.996140439226770.007719121546458120.00385956077322906
1060.9943649641570940.01127007168581110.00563503584290557
1070.9941392513493080.01172149730138420.00586074865069211
1080.9964743942776240.00705121144475280.0035256057223764
1090.9992777911874660.001444417625067210.000722208812533603
1100.9988554232661960.002289153467607240.00114457673380362
1110.9996556713634720.0006886572730553320.000344328636527666
1120.9994238925406230.001152214918753760.000576107459376878
1130.999214382405740.001571235188518710.000785617594259357
1140.9988095157486490.002380968502702970.00119048425135148
1150.998558035606560.002883928786881650.00144196439344082
1160.9976461299313260.004707740137347990.00235387006867399
1170.996301338350730.007397323298541450.00369866164927073
1180.9992891782000810.001421643599837520.000710821799918762
1190.9987842867109060.002431426578188890.00121571328909444
1200.9980213649374060.003957270125187970.00197863506259398
1210.9978186578411930.004362684317613580.00218134215880679
1220.9981432979200360.003713404159927970.00185670207996399
1230.9968920668850610.006215866229877650.00310793311493883
1240.9970951537089440.005809692582112830.00290484629105642
1250.9950992346472720.00980153070545610.00490076535272805
1260.9918693056507950.01626138869841010.00813069434920504
1270.9911039462707880.01779210745842470.00889605372921235
1280.9857893192378640.02842136152427130.0142106807621356
1290.9854705225349240.02905895493015150.0145294774650757
1300.9913271977303660.01734560453926880.00867280226963438
1310.9869360339494250.0261279321011510.0130639660505755
1320.9895110613102520.02097787737949630.0104889386897482
1330.9844754860821360.03104902783572800.0155245139178640
1340.974487381101430.05102523779714180.0255126188985709
1350.9651644848769150.06967103024616980.0348355151230849
1360.961002921755840.0779941564883190.0389970782441595
1370.9576897137242430.08462057255151350.0423102862757567
1380.9286450750554570.1427098498890870.0713549249445434
1390.9259395862852730.1481208274294530.0740604137147266
1400.9026955881794660.1946088236410670.0973044118205335
1410.9947642789552340.01047144208953210.00523572104476607
1420.999627542867430.000744914265138160.00037245713256908
1430.99860230831360.002795383372799130.00139769168639956
1440.9970756843979210.005848631204156920.00292431560207846
1450.9855141984429170.02897160311416530.0144858015570826


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level340.251851851851852NOK
5% type I error level460.340740740740741NOK
10% type I error level660.488888888888889NOK