Multiple Linear Regression - Estimated Regression Equation
Celebrity [t] = + 0.423591992490597 + 0.154094039023444Popularity[t] -0.0194376966141408FindingFriends[t] + 0.103356510337141KnowingPeople[t] + 0.147677870542411Liked[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.4235919924905970.7057130.60020.5492510.274625
Popularity0.1540940390234440.0383424.01899.2e-054.6e-05
FindingFriends-0.01943769661414080.047694-0.40760.684180.34209
KnowingPeople0.1033565103371410.0308483.35050.0010190.00051
Liked0.1476778705424110.0483843.05220.0026850.001342


Multiple Linear Regression - Regression Statistics
Multiple R0.677446083231663
R-squared0.458933195685921
Adjusted R-squared0.444600300207403
F-TEST (value)32.0195731821072
F-TEST (DF numerator)4
F-TEST (DF denominator)151
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.04372839595306
Sum Squared Residuals164.494713642332


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
135.54092790558286-2.54092790558286
254.786132501150710.213867498849285
366.14374966442513-0.143749664425127
464.593411210113581.40658878988641
554.428177095921570.571822904078432
634.53509812027116-1.53509812027116
786.79421835701611.20578164298391
844.33856417400698-0.338564174006983
945.55394943371597-1.55394943371597
1043.951240138968190.048759861031813
1165.74263229166580.257367708334203
1264.794430122596281.20556987740372
1355.79934865644749-0.799348656447494
1444.24253508361137-0.242535083611366
1564.489806558561851.51019344143815
1644.85346527272815-0.853465272728154
1764.640336083572841.35966391642716
1866.28028745979897-0.280287459798966
1943.803314127211180.19668587278882
2043.766757519333070.233242480666927
2124.58699504163255-2.58699504163255
2276.183347117942860.816652882057142
2354.931938119474170.0680618805258348
2444.38742024972875-0.38742024972875
2565.817816151557590.182183848442409
2666.6410945194967-0.641094519496693
2775.362139394139341.63786060586067
2855.78579425919598-0.78579425919598
2965.766356562581840.23364343741816
3045.5501865277869-1.5501865277869
3144.24071258069038-0.240712580690383
3275.445146956401841.55485304359816
3376.009815382305270.990184617694727
3444.70978924858383-0.709789248583834
3544.33856417400698-0.338564174006983
3666.54415417764058-0.544154177640584
3765.288201262909820.71179873709018
3853.984421424004881.01557857599512
3965.579803298811150.420196701188853
4076.6918320481830.308167951817004
4165.611103130883310.388896869116691
4234.70130243596722-1.70130243596722
4333.50148326760177-0.501483267601773
4444.24822919180295-0.24822919180295
4564.5037982881991.496201711801
4676.086406776086750.91359322391325
4756.44721383578448-1.44721383578448
4843.320434920851620.67956507914838
4954.756714122043090.243285877956912
5066.21011223449852-0.210112234498523
5164.16787489209241.8321251079076
5264.348021188127641.65197881187236
5355.34723641304169-0.347236413041691
5444.16975634505694-0.169756345056939
5555.59166543426917-0.591665434269168
5655.4257092597877-0.425709259787703
5744.95609972277585-0.956099722775846
5866.73070744141128-0.730707441411277
5924.69126280343018-2.69126280343019
6086.286703628281.71329637172
6133.86798443549108-0.867984435491083
6266.37703861048403-0.377038610484032
6366.14187741220617-0.141877412206167
6466.3374411569663-0.337441156966302
6554.027772582706110.972227417293889
6655.61110313088331-0.611103130883309
6765.207856163944850.792143836055152
6854.689192159294610.310807840705394
6965.765197169906750.234802830093247
7022.07374982907047-0.0737498290704678
7155.88799137685803-0.887991376858035
7255.45700909185986-0.457009091859865
7355.10922356029525-0.109223560295247
7465.959515186004610.0404848139953915
7565.238433935727560.761566064272439
7665.50962807351070.490371926489297
7755.23915599601701-0.23915599601701
7855.38066583929298-0.380665839292984
7945.24199844974001-1.24199844974001
8023.35949950525094-1.35949950525094
8143.764627925153940.235372074846058
8265.580051440025740.419948559974258
8366.07357443912468-0.0735744391246839
8454.679211476801120.32078852319888
8534.48247913862032-1.48247913862032
8665.032442975342730.967557024657273
8743.900254469067290.099745530932711
8855.48874625631767-0.488746256317665
8986.33744115696631.6625588430337
9044.4530607595127-0.453060759512697
9165.763504908113260.23649509188674
9265.30952041248850.690479587511504
9376.672394351568850.327605648431145
9466.11414209414646-0.114142094146458
9554.967961858233870.0320381417661324
9644.182588682019-0.182588682019004
9763.853518786779082.14648121322092
9833.60392852647842-0.603928526478422
9955.6252840516915-0.625284051691504
10065.250296071185580.749703928814418
10176.795188558520140.204811441479863
10276.42135997068930.578640029310698
10366.72404313171565-0.72404313171565
10434.36084432434413-1.36084432434413
10522.73579592921564-0.735795929215645
10685.724629514884982.27537048511502
10734.67279530832009-1.67279530832009
10886.132609589256561.86739041074345
10934.56302262950191-1.56302262950191
11044.66565707954961-0.665657079549607
11155.23201776724653-0.232017767246529
11275.587378859967271.41262114003273
11364.528681951790131.47131804820987
11465.906458871968130.0935411280318684
11576.104874271196850.895125728803154
11666.18976328642389-0.18976328642389
11766.17032558980975-0.170325589809749
11865.07507207375450.924927926245495
11965.96549402210.0345059778999974
12045.3795064466179-1.3795064466179
12145.19955854249928-1.19955854249928
12255.79293248796646-0.792932487966462
12344.14487268146581-0.144872681465809
12465.791962286462420.208037713537582
12566.27368210014689-0.273682100146891
12654.727097351018840.272902648981156
12786.465681330894571.53431866910543
12865.50962807351070.490371926489297
12955.06418013980053-0.0641801398005278
13042.095317119863741.90468288013626
13186.465681330894571.53431866910543
13265.681278356183750.318721643816248
13344.92097803473106-0.920978034731061
13465.526214115656260.473785884343736
13565.912875040449160.0871249595508358
13644.88948901148786-0.889489011487856
13765.984931718714140.0150682812858566
13834.38476698717679-1.38476698717679
13966.88364208775963-0.883642087759634
14055.59282482694425-0.592824826944255
14145.63242228046199-1.63242228046199
14265.708043472739420.291956527260583
14346.31158729187113-2.31158729187113
14443.381599665162620.618400334837378
14544.992845521825-0.992845521824997
14664.045080685141121.95491931485888
14754.317434215599350.68256578440065
14865.438482646706220.561517353293784
14966.24238226807473-0.242382268074729
15086.111290439677881.88870956032212
15175.373090278136861.62690972186314
15276.569037841231710.430962158768286
15344.29896672048925-0.298966720489253
15465.841977754859270.158022245140728
15565.586219467292180.413780532707821
15625.26331759931869-3.26331759931869


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.4569425415262590.9138850830525180.543057458473741
90.581608144669770.836783710660460.41839185533023
100.4356314601843830.8712629203687670.564368539815617
110.5707932408418730.8584135183162530.429206759158127
120.769143892972110.4617122140557790.23085610702789
130.8502638431764490.2994723136471020.149736156823551
140.787057473314890.4258850533702190.21294252668511
150.8099990831076890.3800018337846220.190000916892311
160.7484016101014160.5031967797971670.251598389898584
170.7862863479790210.4274273040419580.213713652020979
180.7258965763396360.5482068473207280.274103423660364
190.6598457406054570.6803085187890860.340154259394543
200.6176058744728070.7647882510543860.382394125527193
210.9324951936242320.1350096127515370.0675048063757683
220.9277161053178180.1445677893643630.0722838946821815
230.9073711623420880.1852576753158240.0926288376579122
240.8780129298005990.2439741403988030.121987070199401
250.8474142922593580.3051714154812850.152585707740642
260.8150414142021830.3699171715956330.184958585797817
270.8356400833139220.3287198333721560.164359916686078
280.8116769774629410.3766460450741180.188323022537059
290.7705752250551020.4588495498897960.229424774944898
300.7795274586272720.4409450827454570.220472541372728
310.7446011236254450.510797752749110.255398876374555
320.7952865095481750.4094269809036490.204713490451825
330.792953561618860.4140928767622810.207046438381141
340.770534108073440.4589317838531210.229465891926561
350.7332804789099240.5334390421801520.266719521090076
360.6900869781233180.6198260437533640.309913021876682
370.6561258956241620.6877482087516760.343874104375838
380.6603923930544060.6792152138911880.339607606945594
390.6192231820812480.7615536358375050.380776817918752
400.5746023469772330.8507953060455350.425397653022767
410.5345291235434260.9309417529131470.465470876456574
420.5715137879932170.8569724240135670.428486212006783
430.5577464606888350.884507078622330.442253539311165
440.5135295314933480.9729409370133030.486470468506652
450.5761286446431430.8477427107137140.423871355356857
460.5762541304800480.8474917390399050.423745869519952
470.6035494414739030.7929011170521940.396450558526097
480.5839149096481020.8321701807037970.416085090351898
490.5361285059318020.9277429881363970.463871494068198
500.4899279419712710.9798558839425420.510072058028729
510.5729243301683760.8541513396632470.427075669831624
520.6213087216797270.7573825566405460.378691278320273
530.5803458030421450.839308393915710.419654196957855
540.5434046011169880.9131907977660230.456595398883012
550.5050766587352050.989846682529590.494923341264795
560.4643073160879530.9286146321759070.535692683912047
570.4617893652553410.9235787305106830.538210634744659
580.4325376901342260.8650753802684530.567462309865774
590.7246774426695750.5506451146608490.275322557330425
600.7933903702370090.4132192595259820.206609629762991
610.7833851823285570.4332296353428850.216614817671443
620.7505992577007460.4988014845985090.249400742299254
630.7121615106453780.5756769787092430.287838489354622
640.6744290555151280.6511418889697440.325570944484872
650.6653338715133280.6693322569733440.334666128486672
660.6347315475496650.730536904900670.365268452450335
670.6167390012163840.7665219975672310.383260998783616
680.5772804705411020.8454390589177950.422719529458898
690.5345231435683290.9309537128633430.465476856431671
700.4889531970258970.9779063940517940.511046802974103
710.4751262062375420.9502524124750850.524873793762458
720.4363712467742930.8727424935485860.563628753225707
730.3908473614340770.7816947228681540.609152638565923
740.3476299047423890.6952598094847770.652370095257611
750.3271872499029870.6543744998059730.672812750097013
760.2962822661031920.5925645322063840.703717733896808
770.2584583662931510.5169167325863020.741541633706849
780.2267687116495480.4535374232990960.773231288350452
790.2463016887388490.4926033774776980.753698311261151
800.2732238152404070.5464476304808130.726776184759593
810.2379084078413910.4758168156827810.76209159215861
820.207212544111930.414425088223860.79278745588807
830.1754490533732280.3508981067464560.824550946626772
840.1494671392772270.2989342785544530.850532860722773
850.2032271935677740.4064543871355480.796772806432226
860.198117752100360.396235504200720.80188224789964
870.1670584008590310.3341168017180630.832941599140969
880.144915474182260.2898309483645190.85508452581774
890.1882847430758590.3765694861517180.81171525692414
900.1643946535766990.3287893071533970.835605346423301
910.139542431935230.2790848638704590.86045756806477
920.133134560809570.266269121619140.86686543919043
930.1120760191079420.2241520382158830.887923980892058
940.09118448115813880.1823689623162780.908815518841861
950.07328805722522120.1465761144504420.926711942774779
960.05959723263858060.1191944652771610.94040276736142
970.1140648631956030.2281297263912060.885935136804397
980.10464965856490.20929931712980.8953503414351
990.09036414368495480.180728287369910.909635856315045
1000.07878486359201810.1575697271840360.921215136407982
1010.06422268151710380.1284453630342080.935777318482896
1020.05398301611882930.1079660322376590.94601698388117
1030.04487922341693430.08975844683386860.955120776583066
1040.06243903969415220.1248780793883040.937560960305848
1050.05706803648283060.1141360729656610.94293196351717
1060.1134633654613950.226926730922790.886536634538605
1070.1415979998467670.2831959996935340.858402000153233
1080.2344029793143410.4688059586286820.765597020685659
1090.2620995856002180.5241991712004370.737900414399782
1100.2301401809829320.4602803619658630.769859819017068
1110.193406395319840.386812790639680.80659360468016
1120.2772159982986280.5544319965972560.722784001701372
1130.2796754459816550.5593508919633090.720324554018345
1140.2375449083144470.4750898166288930.762455091685553
1150.2249067365638620.4498134731277240.775093263436138
1160.1872728955439510.3745457910879020.812727104456049
1170.1546699165509360.3093398331018720.845330083449064
1180.1457173751519580.2914347503039170.854282624848042
1190.1176438571801250.235287714360250.882356142819875
1200.156235625930720.3124712518614410.84376437406928
1210.1712141703957150.342428340791430.828785829604285
1220.1538781877537630.3077563755075250.846121812246237
1230.1223338654066330.2446677308132670.877666134593367
1240.09664516949326810.1932903389865360.903354830506732
1250.07712922581684140.1542584516336830.922870774183159
1260.0606389121879260.1212778243758520.939361087812074
1270.08456153404926950.1691230680985390.91543846595073
1280.07208643603214780.1441728720642960.927913563967852
1290.06089306605561760.1217861321112350.939106933944382
1300.08385564923991910.1677112984798380.91614435076008
1310.1184285906448090.2368571812896180.881571409355191
1320.08933067925493150.1786613585098630.910669320745069
1330.07169915036971180.1433983007394240.928300849630288
1340.05202553599359790.1040510719871960.947974464006402
1350.0359390360193620.07187807203872410.964060963980638
1360.04176298597506090.08352597195012170.95823701402494
1370.03137876819164330.06275753638328670.968621231808357
1380.02640894674742540.05281789349485090.973591053252575
1390.03063694858893580.06127389717787160.969363051411064
1400.02537973168652510.05075946337305020.974620268313475
1410.01932017786915430.03864035573830860.980679822130846
1420.01186890310771210.02373780621542410.988131096892288
1430.04267307013607820.08534614027215630.957326929863922
1440.02796650822450410.05593301644900830.972033491775496
1450.04814843274662460.09629686549324910.951851567253375
1460.03343124461142630.06686248922285250.966568755388574
1470.03346119857295510.06692239714591020.966538801427045
1480.02891844151925070.05783688303850140.97108155848075


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0141843971631206OK
10% type I error level150.106382978723404NOK