Multiple Linear Regression - Estimated Regression Equation
Celebrity[t] = + 0.423591992490579 -0.0194376966141400FindingFriends[t] + 0.154094039023444Popularity[t] + 0.103356510337141KnowingPeople[t] + 0.147677870542413Liked[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.4235919924905790.7057130.60020.5492510.274625
FindingFriends-0.01943769661414000.047694-0.40760.684180.34209
Popularity0.1540940390234440.0383424.01899.2e-054.6e-05
KnowingPeople0.1033565103371410.0308483.35050.0010190.00051
Liked0.1476778705424130.0483843.05220.0026850.001342


Multiple Linear Regression - Regression Statistics
Multiple R0.677446083231663
R-squared0.458933195685922
Adjusted R-squared0.444600300207403
F-TEST (value)32.0195731821073
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
254.786132501150720.213867498849284
366.14374966442514-0.143749664425136
464.593411210113581.40658878988642
554.428177095921570.571822904078433
634.53509812027116-1.53509812027116
786.79421835701611.2057816429839
844.33856417400698-0.338564174006982
945.55394943371597-1.55394943371597
1043.951240138968180.0487598610318215
1165.742632291665790.257367708334207
1264.794430122596281.20556987740372
1355.79934865644749-0.79934865644749
1444.24253508361137-0.242535083611369
1564.489806558561851.51019344143815
1644.85346527272815-0.853465272728152
1764.640336083572841.35966391642716
1866.28028745979897-0.280287459798969
1943.803314127211180.196685872788824
2043.766757519333070.233242480666932
2124.58699504163255-2.58699504163255
2276.183347117942860.816652882057141
2354.931938119474160.0680618805258387
2444.38742024972875-0.387420249728749
2565.817816151557590.182183848442409
2666.6410945194967-0.641094519496695
2775.362139394139341.63786060586066
2855.78579425919598-0.785794259195978
2965.766356562581840.233643437418162
3045.5501865277869-1.55018652778690
3144.24071258069038-0.240712580690376
3275.445146956401841.55485304359816
3376.009815382305280.990184617694725
3444.70978924858383-0.709789248583832
3544.33856417400698-0.338564174006982
3666.54415417764058-0.544154177640585
3765.288201262909820.711798737090177
3853.984421424004881.01557857599512
3965.579803298811150.420196701188854
4076.6918320481830.308167951817002
4165.611103130883310.388896869116691
4234.70130243596722-1.70130243596722
4333.50148326760178-0.501483267601777
4444.24822919180295-0.24822919180295
4564.5037982881991.496201711801
4676.086406776086750.913593223913251
4756.44721383578447-1.44721383578447
4843.320434920851620.679565079148381
4954.756714122043090.243285877956911
5066.21011223449853-0.210112234498526
5164.167874892092401.83212510790760
5264.348021188127641.65197881187237
5355.34723641304169-0.347236413041693
5444.16975634505694-0.169756345056941
5555.59166543426917-0.591665434269169
5655.4257092597877-0.425709259787702
5744.95609972277584-0.956099722775843
5866.73070744141128-0.730707441411277
5924.69126280343019-2.69126280343019
6086.286703628281.71329637172
6133.86798443549108-0.867984435491084
6266.37703861048403-0.377038610484032
6366.14187741220616-0.141877412206162
6466.3374411569663-0.337441156966303
6554.027772582706110.97222741729389
6655.61110313088331-0.611103130883309
6765.207856163944850.792143836055153
6854.689192159294610.310807840705394
6965.765197169906750.234802830093248
7022.07374982907046-0.0737498290704635
7155.88799137685803-0.887991376858033
7255.45700909185986-0.457009091859865
7355.10922356029525-0.109223560295248
7465.959515186004610.0404848139953913
7565.238433935727560.76156606427244
7665.50962807351070.490371926489297
7755.23915599601701-0.239155996017010
7855.38066583929298-0.380665839292981
7945.24199844974002-1.24199844974002
8023.35949950525095-1.35949950525095
8143.764627925153940.235372074846057
8265.580051440025740.419948559974264
8366.07357443912469-0.0735744391246866
8454.679211476801120.320788523198882
8534.48247913862032-1.48247913862032
8665.032442975342730.967557024657273
8743.900254469067290.0997455309327137
8855.48874625631766-0.488746256317664
8986.33744115696631.66255884303370
9044.4530607595127-0.453060759512697
9165.763504908113260.236495091886737
9265.30952041248850.690479587511501
9376.672394351568860.327605648431142
9466.11414209414646-0.114142094146455
9554.967961858233870.0320381417661339
9644.182588682019-0.182588682019002
9763.853518786779082.14648121322092
9833.60392852647842-0.603928526478421
9955.6252840516915-0.625284051691504
10065.250296071185580.749703928814417
10176.795188558520140.204811441479861
10276.42135997068930.578640029310696
10366.72404313171566-0.724043131715656
10434.36084432434413-1.36084432434413
10522.73579592921564-0.735795929215643
10685.724629514884982.27537048511502
10734.67279530832009-1.67279530832009
10886.132609589256561.86739041074344
10934.56302262950192-1.56302262950192
11044.66565707954961-0.665657079549607
11155.23201776724653-0.232017767246529
11275.587378859967261.41262114003274
11364.528681951790131.47131804820987
11465.906458871968130.093541128031866
11576.104874271196850.89512572880315
11666.18976328642389-0.189763286423890
11766.17032558980975-0.17032558980975
11865.075072073754510.92492792624549
11965.96549402210.0345059778999965
12045.3795064466179-1.37950644661789
12145.19955854249928-1.19955854249928
12255.79293248796646-0.792932487966459
12344.14487268146581-0.144872681465809
12465.791962286462420.208037713537580
12566.27368210014689-0.273682100146891
12654.727097351018850.272902648981154
12786.465681330894581.53431866910542
12865.50962807351070.490371926489297
12955.06418013980053-0.0641801398005265
13042.095317119863731.90468288013627
13186.465681330894581.53431866910542
13265.681278356183750.318721643816249
13344.92097803473107-0.920978034731066
13465.526214115656270.473785884343732
13565.912875040449160.087124959550835
13644.88948901148786-0.889489011487857
13765.984931718714140.0150682812858566
13834.38476698717679-1.38476698717679
13966.88364208775964-0.883642087759635
14055.59282482694425-0.592824826944255
14145.63242228046198-1.63242228046198
14265.708043472739420.291956527260581
14346.31158729187113-2.31158729187113
14443.381599665162610.618400334837386
14544.992845521825-0.992845521824998
14664.045080685141121.95491931485888
14754.317434215599350.682565784400647
14865.438482646706220.561517353293779
14966.24238226807473-0.242382268074728
15086.111290439677881.88870956032212
15175.373090278136861.62690972186314
15276.569037841231720.430962158768284
15344.29896672048925-0.298966720489253
15465.841977754859270.158022245140727
15565.586219467292180.413780532707823
15625.26331759931869-3.26331759931869


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.4569425415262570.9138850830525140.543057458473743
90.581608144669770.836783710660460.41839185533023
100.4356314601843820.8712629203687650.564368539815618
110.5707932408418740.8584135183162520.429206759158126
120.769143892972110.4617122140557800.230856107027890
130.850263843176450.2994723136471010.149736156823551
140.7870574733148910.4258850533702180.212942526685109
150.8099990831076890.3800018337846220.190000916892311
160.7484016101014180.5031967797971650.251598389898582
170.7862863479790220.4274273040419560.213713652020978
180.7258965763396370.5482068473207270.274103423660363
190.6598457406054590.6803085187890820.340154259394541
200.6176058744728050.764788251054390.382394125527195
210.9324951936242310.1350096127515380.067504806375769
220.9277161053178190.1445677893643630.0722838946821814
230.9073711623420880.1852576753158240.0926288376579119
240.8780129298005980.2439741403988030.121987070199402
250.8474142922593570.3051714154812850.152585707740643
260.8150414142021850.3699171715956310.184958585797815
270.8356400833139210.3287198333721580.164359916686079
280.811676977462940.376646045074120.18832302253706
290.7705752250551050.458849549889790.229424774944895
300.779527458627270.4409450827454590.220472541372730
310.7446011236254450.510797752749110.255398876374555
320.7952865095481770.4094269809036470.204713490451823
330.792953561618860.4140928767622810.207046438381140
340.7705341080734380.4589317838531240.229465891926562
350.7332804789099270.5334390421801460.266719521090073
360.6900869781233170.6198260437533660.309913021876683
370.6561258956241630.6877482087516740.343874104375837
380.6603923930544050.679215213891190.339607606945595
390.6192231820812450.761553635837510.380776817918755
400.5746023469772310.8507953060455370.425397653022769
410.5345291235434230.9309417529131540.465470876456577
420.5715137879932150.856972424013570.428486212006785
430.5577464606888320.8845070786223360.442253539311168
440.5135295314933480.9729409370133040.486470468506652
450.5761286446431410.8477427107137180.423871355356859
460.5762541304800470.8474917390399060.423745869519953
470.60354944147390.79290111705220.3964505585261
480.5839149096481030.8321701807037950.416085090351897
490.5361285059317990.9277429881364020.463871494068201
500.4899279419712740.9798558839425480.510072058028726
510.5729243301683710.8541513396632580.427075669831629
520.6213087216797240.7573825566405510.378691278320276
530.5803458030421440.8393083939157130.419654196957856
540.5434046011169880.9131907977660240.456595398883012
550.5050766587352070.9898466825295860.494923341264793
560.4643073160879520.9286146321759050.535692683912048
570.4617893652553450.923578730510690.538210634744655
580.4325376901342310.8650753802684630.567462309865769
590.7246774426695720.5506451146608560.275322557330428
600.7933903702370080.4132192595259830.206609629762992
610.7833851823285590.4332296353428820.216614817671441
620.7505992577007450.4988014845985090.249400742299255
630.7121615106453750.575676978709250.287838489354625
640.6744290555151290.6511418889697430.325570944484871
650.6653338715133260.6693322569733490.334666128486674
660.6347315475496650.730536904900670.365268452450335
670.6167390012163880.7665219975672240.383260998783612
680.5772804705411030.8454390589177950.422719529458897
690.5345231435683310.9309537128633380.465476856431669
700.4889531970259020.9779063940518050.511046802974098
710.4751262062375420.9502524124750830.524873793762458
720.4363712467742930.8727424935485860.563628753225707
730.390847361434080.781694722868160.60915263856592
740.347629904742390.695259809484780.65237009525761
750.3271872499029910.6543744998059830.672812750097008
760.2962822661031940.5925645322063880.703717733896806
770.2584583662931450.5169167325862910.741541633706855
780.2267687116495510.4535374232991030.773231288350449
790.2463016887388550.492603377477710.753698311261145
800.2732238152403990.5464476304807980.726776184759601
810.2379084078413890.4758168156827790.76209159215861
820.2072125441119310.4144250882238630.792787455888069
830.1754490533732340.3508981067464690.824550946626766
840.1494671392772250.298934278554450.850532860722775
850.2032271935677750.4064543871355510.796772806432225
860.1981177521003600.3962355042007190.80188224789964
870.1670584008590330.3341168017180660.832941599140967
880.1449154741822610.2898309483645220.855084525817739
890.1882847430758600.3765694861517190.81171525692414
900.1643946535766990.3287893071533990.8356053464233
910.1395424319352280.2790848638704560.860457568064772
920.1331345608095710.2662691216191420.86686543919043
930.1120760191079430.2241520382158870.887923980892056
940.09118448115813830.1823689623162770.908815518841862
950.07328805722521970.1465761144504390.92671194277478
960.05959723263858150.1191944652771630.940402767361418
970.1140648631956020.2281297263912040.885935136804398
980.1046496585648990.2092993171297980.895350341435101
990.09036414368495330.1807282873699070.909635856315047
1000.07878486359201720.1575697271840340.921215136407983
1010.06422268151710450.1284453630342090.935777318482895
1020.05398301611882850.1079660322376570.946016983881172
1030.04487922341693410.08975844683386820.955120776583066
1040.06243903969415380.1248780793883080.937560960305846
1050.05706803648282960.1141360729656590.94293196351717
1060.1134633654613950.2269267309227890.886536634538605
1070.1415979998467680.2831959996935360.858402000153232
1080.2344029793143450.4688059586286890.765597020685655
1090.2620995856002190.5241991712004390.73790041439978
1100.2301401809829350.460280361965870.769859819017065
1110.1934063953198380.3868127906396770.806593604680162
1120.2772159982986290.5544319965972580.722784001701371
1130.2796754459816580.5593508919633150.720324554018342
1140.2375449083144490.4750898166288970.762455091685551
1150.2249067365638640.4498134731277270.775093263436136
1160.1872728955439490.3745457910878980.812727104456051
1170.1546699165509350.309339833101870.845330083449065
1180.1457173751519590.2914347503039170.854282624848041
1190.1176438571801240.2352877143602470.882356142819877
1200.1562356259307210.3124712518614430.843764374069279
1210.1712141703957160.3424283407914310.828785829604284
1220.1538781877537640.3077563755075280.846121812246236
1230.1223338654066320.2446677308132640.877666134593368
1240.0966451694932690.1932903389865380.903354830506731
1250.07712922581684150.1542584516336830.922870774183159
1260.06063891218792510.1212778243758500.939361087812075
1270.08456153404927010.1691230680985400.91543846595073
1280.07208643603214910.1441728720642980.927913563967851
1290.06089306605561730.1217861321112350.939106933944383
1300.0838556492399210.1677112984798420.91614435076008
1310.1184285906448080.2368571812896160.881571409355192
1320.0893306792549320.1786613585098640.910669320745068
1330.07169915036970980.1433983007394200.92830084963029
1340.05202553599359790.1040510719871960.947974464006402
1350.03593903601936230.07187807203872460.964060963980638
1360.0417629859750610.0835259719501220.95823701402494
1370.03137876819164260.06275753638328520.968621231808357
1380.02640894674742530.05281789349485060.973591053252575
1390.03063694858893530.06127389717787060.969363051411065
1400.02537973168652560.05075946337305120.974620268313474
1410.01932017786915440.03864035573830880.980679822130846
1420.01186890310771220.02373780621542450.988131096892288
1430.04267307013607790.08534614027215580.957326929863922
1440.02796650822450430.05593301644900850.972033491775496
1450.04814843274662460.09629686549324910.951851567253375
1460.03343124461142620.06686248922285240.966568755388574
1470.03346119857295490.06692239714590980.966538801427045
1480.02891844151925060.05783688303850120.97108155848075


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