Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.0342768235376175 + 0.106305539542869FindingFriends[t] + 0.21144283590659KnowingPeople[t] + 0.357652188002145Liked[t] + 0.60600258577461Celebrity[t] + 0.212600241949771Sum_friends[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.03427682353761751.4232830.02410.9808180.490409
FindingFriends0.1063055395428690.0955171.1130.2675090.133755
KnowingPeople0.211442835906590.0636263.32320.0011180.000559
Liked0.3576521880021450.0959313.72820.0002730.000136
Celebrity0.606002585774610.1553963.89970.0001457.2e-05
Sum_friends0.2126002419497710.120031.77120.0785540.039277


Multiple Linear Regression - Regression Statistics
Multiple R0.713764528070818
R-squared0.509459801532158
Adjusted R-squared0.49310846158323
F-TEST (value)31.1570674405529
F-TEST (DF numerator)5
F-TEST (DF denominator)150
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09077045674136
Sum Squared Residuals655.69816541737


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.26913522553841.73086477446156
21210.89357760015551.10642239984453
31512.99309677252742.00690322747264
41211.03676902729230.963230972707724
51010.8137483007782-0.81374830077816
6129.112477404697512.88752259530249
71516.7228950081851-1.72289500818515
8910.2065991460963-1.20659914609633
91212.5516849436718-0.551684943671851
10117.583647111352113.41635288864789
111113.2298367682844-2.2298367682844
121111.9888567475975-0.988856747597471
131512.40131109771032.59868890228966
14711.4135057329903-4.41350573299035
151111.5007484291092-0.500748429109224
161110.62948481790950.370515182090486
171011.9888567475975-1.98885674759747
181414.3715315456393-0.37153154563931
19108.539217886922821.46078211307718
2069.25218577656881-3.25218577656881
21118.757810630246212.24218936975379
221514.40843910750520.591560892494815
231111.8322160738016-0.832216073801603
24129.573428044419752.42657195558025
251412.97968003727621.0203199627238
261514.58181697550270.418183024497282
27914.407281701462-5.407281701462
281312.7324653712750.267534628725015
291313.0195730126929-0.0195730126929217
301611.07042768628254.92957231371746
31138.711903479183934.28809652081606
321213.586829191958-1.58682919195803
331414.7273448889978-0.727344888997826
341110.07495309815910.92504690184085
35910.4191993880461-1.41919938804611
361614.43792243549351.56207756450647
371213.0629707176471-1.06297071764709
38109.569241876281850.430758123718146
391312.87453190377650.125468096223485
401615.61417745122010.385822548779949
411412.98199484936261.01800515063743
42158.013022926253586.98697707374642
4359.64283685923271-4.64283685923271
44810.246502958649-2.24650295864902
451111.2482227003348-0.248222700334833
461613.83934408359652.16065591640355
471714.3258260355592.67417396444097
4898.182744779235790.817255220764212
49911.4204431622892-2.42044316228918
501314.476679679139-1.476679679139
511011.0778519201601-1.07785192016008
52612.3706595265428-6.37065952654285
531212.097001131784-0.0970011317839686
54810.5001752563306-2.50017525633063
551411.84449707728152.15550292271849
561212.9063300438512-0.906330043851218
571110.66937779332620.330622206673767
581614.58296354440991.41703645559007
59810.5326548350058-2.53265483500578
601514.58808380333710.411916196662927
6179.11131999865433-2.11131999865433
621614.18657578703421.81342421296575
631413.14888257427180.85111742572819
641613.3772360378312.62276396216897
65910.4319238475608-1.43192384756085
661412.16339202163821.83660797836182
671113.2598285751234-2.25982857512337
681310.32448257624672.67551742375327
691513.19459509131231.80540490868766
7055.79379231622363-0.793792316223627
711512.90633004385122.09366995614878
721312.58859250553770.411407494462274
731112.4170534821838-1.41705348218382
741114.1988134419703-3.19881344197029
751212.77054117632-0.770541176320009
761213.4048805211757-1.40488052117574
771212.3360884510353-0.33608845103527
781211.95077010541650.0492298945835207
791410.85782744433283.14217255566723
8067.93737979501417-1.93737979501417
8179.71847999047212-2.71847999047212
821412.41170990800271.58829009199725
831414.1612461157759-0.161246115775902
841011.1702430827371-1.17024308273712
85139.114792216783873.88520778321613
861212.3066051230469-0.306605123046929
8799.32091315278132-0.320913152781322
881211.92428302811490.0757169718850505
891614.801841451331.19815854866998
901010.460260606642-0.460260606641973
911413.10171712415660.898282875843409
921013.590993685824-3.59099368582399
931615.50788274881310.492117251186851
941513.40371227799661.5962877220034
951211.48914886422980.510851135770238
96109.359670396426790.640329603573206
97810.1222811445894-2.12228114458937
9888.71607881018586-0.716078810185861
991112.6649170753776-1.66491707537759
1001312.55910917754940.440890822450614
1011615.61302004517690.38697995482313
1021614.93878772490441.06121227509559
1031415.4034377281858-1.40343772818584
104119.047233083750511.95276691624949
10547.15683109806287-3.15683109806287
1061414.7389336167413-0.73893361674132
107910.5284903411398-1.52849034113982
1081415.2258845291864-1.22588452918639
109810.2494992093358-2.24949920933583
110810.6827945285774-2.68279452857739
1111111.8843900526982-0.884390052698231
1121213.1604604648793-1.16046046487934
1131111.0755371080737-0.0755371080737152
1141413.27209874146730.727901258532687
1151514.4495111632370.55048883676298
1161613.44478433372842.55521566627157
1171612.9132891474223.08671085257801
1181112.7851369918863-1.78513699188628
1191414.1877331930774-0.187733193077431
1201410.8819888724123.11801112758803
1211211.55854684190680.441453158093244
1221412.54636304376271.45363695623729
123810.8854610905415-2.88546109054151
1241314.0814384906705-1.08143849067053
1251613.97513295112772.02486704887234
1261210.61574387439471.38425612560534
1271615.47839942082480.521600579175191
1281212.7670797953264-0.767079795326432
1291111.4614935437491-0.461493543749084
13046.00799725042712-2.00799725042712
1311616.1162001466741-0.116200146674122
1321512.66424647391312.33575352608689
1331011.3605315783873-1.36053157838729
1341314.0185198189459-1.01851981894586
1351513.12704679541491.87295320458506
1361210.49901785028741.50098214971256
1371413.6562271696350.343772830364979
138710.381134420137-3.38113442013705
1391913.90758465523035.09241534476974
1401212.9450764503607-0.945076450360722
1411211.87281216209070.127187837909297
1421313.3384896313215-0.338489631321529
1431512.41658835187712.58341164812294
14488.84468525889237-0.844685258892367
1451210.92306092814381.07693907185619
1461010.7601143818466-0.760114381846586
147811.2512297881576-3.25122978815761
1481014.6517017577584-4.65170175775841
1491513.86767000554161.13232999445839
1501614.06006083516021.93993916483983
1511313.2702490596877-0.270249059687717
1521615.08383967095680.916160329043211
15399.82245988079266-0.82245988079266
1541413.06064506842480.939354931575244
1551413.15468044162370.845319558376317
1561210.17384524096041.82615475903955


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.1130433994221440.2260867988442880.886956600577856
100.05013382791177740.1002676558235550.949866172088223
110.07267912027590120.1453582405518020.927320879724099
120.03629398921487690.07258797842975380.963706010785123
130.4557232195718920.9114464391437840.544276780428108
140.7691168956541790.4617662086916410.230883104345821
150.6908433223386930.6183133553226150.309156677661307
160.6024926471737240.7950147056525510.397507352826276
170.5467760851519190.9064478296961620.453223914848081
180.4604837494362250.920967498872450.539516250563775
190.3839618847202830.7679237694405660.616038115279717
200.681648999560030.636702000879940.31835100043997
210.6224804753700670.7550390492598650.377519524629932
220.5913843595604930.8172312808790150.408615640439507
230.5217220838680990.9565558322638020.478277916131901
240.505471724232080.9890565515358410.49452827576792
250.4666003742831140.9332007485662280.533399625716886
260.4057023431920120.8114046863840240.594297656807988
270.6656525385961270.6686949228077460.334347461403873
280.6092406590240320.7815186819519360.390759340975968
290.5482178057068570.9035643885862850.451782194293143
300.6967292435969230.6065415128061550.303270756403077
310.7967796950251990.4064406099496030.203220304974801
320.7590158307003850.4819683385992310.240984169299615
330.7126324869308850.5747350261382310.287367513069115
340.6708621790828510.6582756418342980.329137820917149
350.6604854681737790.6790290636524420.339514531826221
360.6620864751166060.6758270497667880.337913524883394
370.6315670397406520.7368659205186960.368432960259348
380.5814582939711870.8370834120576260.418541706028813
390.5342609186702440.9314781626595120.465739081329756
400.4937529209909910.9875058419819810.506247079009009
410.4610262260658970.9220524521317940.538973773934103
420.7869745799540740.4260508400918510.213025420045926
430.9441507641276810.1116984717446390.0558492358723195
440.9501602579188950.09967948416221050.0498397420811053
450.9360855693976340.1278288612047310.0639144306023655
460.9429261368532310.1141477262935390.0570738631467693
470.9410155042204520.1179689915590970.0589844957795483
480.9286144569959340.1427710860081320.0713855430040661
490.9282167447691530.1435665104616950.0717832552308473
500.9172115817422640.1655768365154730.0827884182577363
510.9110089431719220.1779821136561550.0889910568280775
520.9881368005063830.02372639898723420.0118631994936171
530.9839156407870940.03216871842581140.0160843592129057
540.9891141881810540.02177162363789290.0108858118189465
550.9916049927321370.01679001453572540.00839500726786271
560.9892748176120390.02145036477592180.0107251823879609
570.985510046847790.0289799063044210.0144899531522105
580.9830998248337850.03380035033242940.0169001751662147
590.9897317601582770.0205364796834450.0102682398417225
600.9879167923304770.02416641533904560.0120832076695228
610.9883954728405830.0232090543188330.0116045271594165
620.9881815610111650.0236368779776690.0118184389888345
630.9861950841846160.02760983163076890.0138049158153844
640.9888387174343390.02232256513132230.0111612825656611
650.9879279038055050.02414419238898990.012072096194495
660.9870471864368760.02590562712624870.0129528135631243
670.9876899085261730.02462018294765330.0123100914738266
680.9900355028826320.01992899423473550.00996449711736776
690.9893371327934220.02132573441315530.0106628672065776
700.9862189658359140.0275620683281720.013781034164086
710.9864901484033160.02701970319336880.0135098515966844
720.982042957120470.035914085759060.01795704287953
730.9790989610863860.04180207782722830.0209010389136141
740.986222139464540.02755572107091930.0137778605354597
750.9820889389724880.03582212205502320.0179110610275116
760.9793754198191980.04124916036160390.0206245801808019
770.9730638967713460.05387220645730720.0269361032286536
780.9648125466865290.07037490662694180.0351874533134709
790.9767971775259170.04640564494816590.0232028224740829
800.9758336570371320.04833268592573540.0241663429628677
810.9796966465752120.04060670684957550.0203033534247878
820.9789508435858160.04209831282836880.0210491564141844
830.9721156473077480.0557687053845040.027884352692252
840.9661591855420550.06768162891589060.0338408144579453
850.9887493606561960.02250127868760730.0112506393438036
860.9850009684572570.02999806308548610.014999031542743
870.9800846270988810.03983074580223720.0199153729011186
880.9741862017701840.05162759645963290.0258137982298164
890.9685426880007010.06291462399859740.0314573119992987
900.9597027456007290.0805945087985420.040297254399271
910.9518277578170310.09634448436593770.0481722421829689
920.9728773979058950.05424520418821040.0271226020941052
930.9648325104257260.07033497914854860.0351674895742743
940.9600134843719680.07997303125606340.0399865156280317
950.949843462806240.1003130743875210.0501565371937603
960.9377078963427230.1245842073145540.0622921036572768
970.9326663289990020.1346673420019960.0673336710009978
980.916412566796770.1671748664064590.0835874332032296
990.9111653818034430.1776692363931150.0888346181965573
1000.8911113366458350.217777326708330.108888663354165
1010.8669461625978430.2661076748043140.133053837402157
1020.8438511403902890.3122977192194230.156148859609711
1030.8564073990979190.2871852018041620.143592600902081
1040.8970960783838270.2058078432323460.102903921616173
1050.8991914877777810.2016170244444390.100808512222219
1060.8769145014821860.2461709970356280.123085498517814
1070.8562531297270550.287493740545890.143746870272945
1080.851737827603690.2965243447926190.14826217239631
1090.8492406760226680.3015186479546640.150759323977332
1100.8738840206992920.2522319586014160.126115979300708
1110.8620991218746370.2758017562507260.137900878125363
1120.9024246962304320.1951506075391360.0975753037695678
1130.8765287222660060.2469425554679880.123471277733994
1140.8486910473382820.3026179053234360.151308952661718
1150.8139301874578680.3721396250842630.186069812542132
1160.8128092568573180.3743814862853640.187190743142682
1170.825383224190320.349233551619360.17461677580968
1180.8149325031828430.3701349936343130.185067496817156
1190.7733550818368490.4532898363263010.226644918163151
1200.8345619402205520.3308761195588960.165438059779448
1210.8046057280695740.3907885438608520.195394271930426
1220.7774115026583010.4451769946833980.222588497341699
1230.7757768662253670.4484462675492660.224223133774633
1240.7342428456112490.5315143087775030.265757154388752
1250.7303588052703450.5392823894593090.269641194729655
1260.7137838632860440.5724322734279110.286216136713956
1270.6581854586856690.6836290826286630.341814541314331
1280.6270213796300430.7459572407399150.372978620369957
1290.6441547884153090.7116904231693830.355845211584691
1300.6387987303957710.7224025392084580.361201269604229
1310.5730707520884010.8538584958231980.426929247911599
1320.5600256200099990.8799487599800030.439974379990001
1330.5277134776274870.9445730447450260.472286522372513
1340.4601172862362310.9202345724724630.539882713763769
1350.4337582229925390.8675164459850780.566241777007461
1360.4283149547483780.8566299094967550.571685045251622
1370.3559294526942630.7118589053885250.644070547305737
1380.4400521787412310.8801043574824630.559947821258769
1390.7891160615449870.4217678769100260.210883938455013
1400.8113383097895780.3773233804208430.188661690210422
1410.7683123913540740.4633752172918530.231687608645926
1420.684830836244760.6303383275104810.31516916375524
1430.6422633627484810.7154732745030390.357736637251519
1440.5279450142397380.9441099715205250.472054985760262
1450.5080457681899910.9839084636200170.491954231810009
1460.6727966931690960.6544066136618080.327203306830904
1470.5714480724847210.8571038550305590.428551927515279


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level320.23021582733813NOK
10% type I error level450.323741007194245NOK