Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.0422788742601457 + 0.107901800776091FindingFriends[t] + 0.211040385215400KnowingPeople[t] + 0.359974774820001Liked[t] + 0.606491671344046Celebrity[t] + 0.212457917682306SumFriends[t] -0.000685171025765t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.04227887426014571.4285840.02960.976430.488215
FindingFriends0.1079018007760910.0962341.12120.2639870.131993
KnowingPeople0.2110403852154000.0638723.30410.0011930.000597
Liked0.3599747748200010.0970993.70730.0002950.000147
Celebrity0.6064916713440460.1559243.88970.0001517.5e-05
SumFriends0.2124579176823060.1204221.76430.0797330.039867
t-0.0006851710257650.003797-0.18040.8570550.428527


Multiple Linear Regression - Regression Statistics
Multiple R0.713839592799361
R-squared0.509566964247958
Adjusted R-squared0.489817982942506
F-TEST (value)25.8021898125601
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09754558153579
Sum Squared Residuals655.55492252643


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.32294542839591.67705457160413
21210.94864157030741.05135842969255
31513.05027241671281.94972758328717
41211.08395817260090.916041827399105
51010.8578295118334-0.857829511833381
6129.16190238348092.8380976165191
71516.7857053211747-1.78570532117466
8910.2512104788150-1.25121047881501
91212.6009445409424-0.600944540942367
10117.614819938707633.38518006129237
111113.2668677888948-2.26686778889479
121112.0338858299024-1.03388582990235
131512.43895017337812.56104982662194
14711.4588340496126-4.45883404961262
151111.5509892346533-0.550989234653334
161110.66780988103970.332190118960308
171012.0304599747735-2.03045997477353
181414.4183915607956-0.418391560795577
19108.57166070625391.42833929374609
2069.28139865219458-3.28139865219458
21118.793860436924412.20613956307559
221514.45112738800120.548872611998838
231111.861083303085-0.861083303085009
24129.608544119223482.39145588077652
251413.01665700456670.983342995433302
261514.62253304533790.37746695466205
27914.4462840004054-5.44628400040543
281312.76281075969250.237189240307485
291313.0516032254223-0.0516032254222731
301611.10785572042664.8921442795734
31138.731518298928654.26848170107135
321213.6164243273274-1.61642432732742
331414.7639502251761-0.763950225176144
341110.10107514071690.89892485928313
35910.4451687788017-1.44516877880166
361614.46958201040951.53041798959049
371213.0980984111851-1.09809841118513
38109.581941063266370.418058936733627
391312.90058034189680.0994196581031959
401615.64576569015280.354234309847196
411413.00852933308830.991470666911728
42158.031475278974296.96852472102571
4359.67129684307127-4.67129684307127
44810.2675769107160-2.26757691071598
451111.2702522296298-0.270252229629817
461613.86366812334742.13633187665260
471714.34682788615822.65317211384182
4898.199924871893380.80007512810662
49911.4402403544997-2.4402403544997
501314.5029503562803-1.50295035628028
511011.1008966234251-1.10089662342512
52612.3794182702674-6.37941827026738
531212.1178341636750-0.117834163675035
54810.5189789233059-2.51897892330593
551411.86297331511272.13702668488731
561212.9198145161617-0.919814516161673
571110.67740477394200.322595226058038
581614.59867942111051.40132057888950
59810.5491561624660-2.54915616246603
601514.60524919253460.394750807465382
6179.12280044459692-2.12280044459692
621614.19969458969571.80030541030429
631413.15110186930100.848898130699046
641613.39094269821042.60905730178963
65910.4370886011521-1.43708860115210
661412.17245046841781.82754953158221
671113.2652787997115-2.26527879971149
681310.33240512257162.66759487742844
691513.20180246204921.79819753795084
7055.78687670633618-0.78687670633618
711512.90953695077522.09046304922480
721312.59325527762780.406744722372182
731112.4225623102152-1.42256231021516
741114.2019052867592-3.20190528675919
751212.770847449127-0.770847449126987
761213.4066291176173-1.40662911761730
771212.3363389159882-0.336338915988176
781211.94507913068660.0549208693134415
791410.86182442248183.13817557751819
8067.93369289619485-1.93369289619485
8179.71700622789257-2.71700622789257
821412.39796757692001.60203242308003
831414.1642325913724-0.164232591372359
841011.1622582431510-1.16225824315104
85139.110608937379283.88939106262072
861212.3021253599872-0.302125359987231
8799.3085421542196-0.308542154219595
881211.91573648117970.0842635188202862
891614.79925468293661.20074531706335
901010.44993449368-0.449934493680007
911413.10071423215540.899285767844572
921013.5856333596382-3.58563335963817
931615.50489550888100.495104491118956
941513.38953282281671.61046717718326
951211.47508108032600.524918919673974
96109.345336355219190.654663644780811
97810.1063714494618-2.10637144946177
9888.69927681792892-0.699276817928916
991112.6492225563186-1.64922255631859
1001312.54602347213730.453976527862662
1011615.60255272511420.397447274885767
1021614.92771380961381.07228619038624
1031415.40097191064-1.40097191064001
104119.029303943475261.97069605652474
10547.13116239143005-3.13116239143005
1061414.7316815286915-0.731681528691532
107910.5059486593727-1.50594865937267
1081415.2097347363448-1.20973473634482
109810.2285968715611-2.22859687156112
110810.6596323591557-2.65963235915573
1111111.8622906426285-0.862290642628484
1121213.1319315935648-1.13193159356483
1131111.0555809548939-0.0555809548938764
1141413.25354556248280.746454437517184
1151514.43320228777030.56679771222969
1161613.42025486541522.57974513458479
1171612.89009774211863.10990225788139
1181112.7680356448051-1.76803564480507
1191414.1620573736940-0.162057373694014
1201410.85004260087093.14995739912905
1211211.52969192312360.470308076876418
1221412.51178338870741.48821661129263
123810.8522396851944-2.85223968519437
1241314.0540754016590-1.05407540165897
1251613.94548842985712.05451157014288
1261210.58911644981951.41088355018051
1271615.45355267723600.546447322764025
1281212.7336264712306-0.733626471230597
1291111.4245311098640-0.42453110986404
13045.94852914306801-1.94852914306801
1311616.0881857461798-0.0881857461798333
1321512.62723658375222.37276341624783
1331011.3323168190482-1.33231681904819
1341313.9879527607243-0.98795276072434
1351513.09164011380411.90835988619594
1361210.46137736672631.53862263327370
1371413.61690665908950.383093340910459
138710.3377021193723-3.33770211937232
1391913.87095497495185.1290450250482
1401212.9018752063590-0.901875206359016
1411211.82733240732920.172667592670824
1421313.2978843018391-0.297884301839101
1431512.37924950240062.62075049759937
14488.78114102917261-0.781141029172615
1451210.87870913039211.12129086960788
1461010.7202088738558-0.72020887385583
147811.2092665463915-3.20926654639153
1481014.6134096734128-4.6134096734128
1491513.81972499199581.18027500800424
1501614.01836444534571.98163555465434
1511313.2207100056067-0.220710005606677
1521615.04097211546320.959027884536796
15399.7693949660099-0.769394966009893
1541413.01175265236690.988247347633058
1551413.09849948113500.901500518865017
1561210.12130226567991.87869773432008


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.07692496860885930.1538499372177190.92307503139114
110.1134261846456910.2268523692913810.886573815354309
120.07023918137234680.1404783627446940.929760818627653
130.5635850634871470.8728298730257060.436414936512853
140.7293682488474530.5412635023050950.270631751152547
150.6594341301515930.6811317396968150.340565869848407
160.5690355740252440.8619288519495110.430964425974756
170.4826367165130750.965273433026150.517363283486925
180.4618848339404020.9237696678808040.538115166059598
190.4041557087083480.8083114174166960.595844291291652
200.5311432578409780.9377134843180440.468856742159022
210.5484347134001610.9031305731996790.451565286599839
220.5887859189617690.8224281620764620.411214081038231
230.5265389333737260.9469221332525490.473461066626274
240.5412073328098780.9175853343802430.458792667190122
250.5161478838346270.9677042323307450.483852116165373
260.4565707644092870.9131415288185730.543429235590713
270.6806815212940780.6386369574118440.319318478705922
280.633865654511010.7322686909779810.366134345488991
290.5782731664335210.8434536671329570.421726833566479
300.7308293553545670.5383412892908660.269170644645433
310.811762300269920.3764753994601590.188237699730080
320.7765869404986920.4468261190026160.223413059501308
330.7302616835211930.5394766329576150.269738316478807
340.6956037175886390.6087925648227220.304396282411361
350.6915790991498640.6168418017002720.308420900850136
360.6882884924933930.6234230150132140.311711507506607
370.6613007652821610.6773984694356790.338699234717839
380.6124188600630750.775162279873850.387581139936925
390.5631665730438470.8736668539123070.436833426956153
400.5200273545887860.9599452908224270.479972645411214
410.4811426982962690.9622853965925380.518857301703731
420.7700093333501570.4599813332996870.229990666649843
430.951019055593290.09796188881342170.0489809444067109
440.955249410734230.08950117853154030.0447505892657701
450.9418382040571460.1163235918857080.0581617959428539
460.9496832637702280.1006334724595450.0503167362297724
470.9492678606355030.1014642787289940.0507321393644971
480.938552443179280.1228951136414420.0614475568207209
490.9362411462954790.1275177074090430.0637588537045214
500.9245190387636730.1509619224726530.0754809612363267
510.9170678987264570.1658642025470860.0829321012735431
520.9868847552198670.02623048956026660.0131152447801333
530.9827642903245570.0344714193508850.0172357096754425
540.9864550173932670.02708996521346590.0135449826067330
550.9911568633768920.01768627324621610.00884313662310807
560.9883553364110870.02328932717782550.0116446635889127
570.9843220831682630.03135583366347370.0156779168317368
580.982507290276160.03498541944767820.0174927097238391
590.987983381668410.02403323666317840.0120166183315892
600.9870721944602960.02585561107940810.0129278055397041
610.986882320313710.02623535937258170.0131176796862908
620.9874568802259940.02508623954801240.0125431197740062
630.9860317967296630.02793640654067390.0139682032703370
640.988951014972470.02209797005506120.0110489850275306
650.9875936759663760.0248126480672470.0124063240336235
660.9870142911239160.02597141775216710.0129857088760836
670.9873879481012940.02522410379741170.0126120518987058
680.9900036574416510.01999268511669720.0099963425583486
690.9894659383065170.02106812338696520.0105340616934826
700.98627270321580.02745459356840060.0137272967842003
710.9868492462485840.02630150750283130.0131507537514156
720.9826174739897870.03476505202042520.0173825260102126
730.9794143018966970.04117139620660700.0205856981033035
740.9856785386577070.02864292268458630.0143214613422931
750.9811286026058130.0377427947883740.018871397394187
760.9777863517477420.04442729650451680.0222136482522584
770.9710438977505170.05791220449896620.0289561022494831
780.9622372636531050.075525472693790.037762736346895
790.9760279396759340.04794412064813210.0239720603240660
800.9739964704912190.05200705901756230.0260035295087812
810.9768064986695160.0463870026609670.0231935013304835
820.9763992402814360.04720151943712820.0236007597185641
830.9688380902935020.06232381941299670.0311619097064984
840.9615533860569010.07689322788619770.0384466139430989
850.9879561466513130.02408770669737310.0120438533486866
860.9837721628820180.03245567423596390.0162278371179820
870.9784931021661360.04301379566772810.0215068978338641
880.9723042145596550.05539157088068980.0276957854403449
890.9674070483237280.06518590335254390.0325929516762719
900.9583653478111570.0832693043776860.041634652188843
910.9519786628746770.09604267425064670.0480213371253233
920.9696098375768240.06078032484635250.0303901624231762
930.961216439845320.07756712030935830.0387835601546791
940.9579141407501170.08417171849976680.0420858592498834
950.9487184900386740.1025630199226510.0512815099613255
960.9386645771574520.1226708456850970.0613354228425485
970.9316859556401470.1366280887197070.0683140443598535
980.9155028261900570.1689943476198870.0844971738099434
990.9062081240379520.1875837519240960.093791875962048
1000.8885525459082630.2228949081834750.111447454091737
1010.8643145281185220.2713709437629550.135685471881478
1020.8463736043813710.3072527912372570.153626395618629
1030.8462474270166880.3075051459666240.153752572983312
1040.8974300541036970.2051398917926050.102569945896302
1050.8940705346918860.2118589306162280.105929465308114
1060.8685758159532680.2628483680934640.131424184046732
1070.8425842086713410.3148315826573170.157415791328659
1080.8309491366127410.3381017267745170.169050863387259
1090.8214704096290040.3570591807419920.178529590370996
1100.8445333362456180.3109333275087650.155466663754382
1110.8316613806925790.3366772386148430.168338619307421
1120.8850294845185340.2299410309629320.114970515481466
1130.8558817441202440.2882365117595120.144118255879756
1140.8295892906192830.3408214187614340.170410709380717
1150.7935467225356820.4129065549286360.206453277464318
1160.78834518010480.42330963979040.2116548198952
1170.7994379373184680.4011241253630640.200562062681532
1180.7925790791376570.4148418417246860.207420920862343
1190.7488486103157450.5023027793685090.251151389684255
1200.8076365640066850.3847268719866290.192363435993315
1210.774588829036060.4508223419278810.225411170963941
1220.7480182638965520.5039634722068950.251981736103448
1230.7404483904731040.5191032190537930.259551609526896
1240.694444692867750.6111106142645010.305555307132251
1250.693204855910710.613590288178580.30679514408929
1260.6853702160576840.6292595678846330.314629783942316
1270.6249614921181920.7500770157636160.375038507881808
1280.581352241282170.8372955174356610.418647758717830
1290.5950878629380560.8098242741238880.404912137061944
1300.6008667505203330.7982664989593340.399133249479667
1310.5376882095870140.9246235808259710.462311790412986
1320.5067543890746480.9864912218507040.493245610925352
1330.4886496641023520.9772993282047040.511350335897648
1340.4145809668421540.8291619336843090.585419033157846
1350.374277376096420.748554752192840.62572262390358
1360.3661850577883080.7323701155766170.633814942211692
1370.2939449410192530.5878898820385070.706055058980747
1380.3695836891537750.739167378307550.630416310846225
1390.7606529119281990.4786941761436020.239347088071801
1400.7422628616664880.5154742766670250.257737138333512
1410.6922436388581410.6155127222837190.307756361141860
1420.6051016132873180.7897967734253630.394898386712682
1430.5325656707997970.9348686584004070.467434329200204
1440.4073763768065610.8147527536131230.592623623193439
1450.4678453431590320.9356906863180630.532154656840968
1460.7212550471361290.5574899057277420.278744952863871


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level310.226277372262774NOK
10% type I error level450.328467153284672NOK