Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.0341957712676926 + 0.106302633229405FindingFriends[t] + 0.211443525990832KnowingPeople[t] + 0.357643540447476Liked[t] + 0.606004881194799Celebrity[t] + 0.212601130536282Sum_friends[t] + 4.11173334192181e-05Day[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.03419577126769261.4333610.02390.9809990.490499
FindingFriends0.1063026332294050.0959391.1080.2696350.134818
KnowingPeople0.2114435259908320.0638483.31170.0011640.000582
Liked0.3576435404474760.0971473.68150.0003240.000162
Celebrity0.6060048811947990.1559563.88570.0001537.7e-05
Sum_friends0.2126011305362820.120441.76520.0795770.039789
Day4.11173334192181e-050.0625297e-040.9994760.499738


Multiple Linear Regression - Regression Statistics
Multiple R0.713764529068043
R-squared0.509459802955726
Adjusted R-squared0.489706506430453
F-TEST (value)25.7911281949275
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09777472945348
Sum Squared Residuals655.698163514507


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.26896341492911.73103658507088
21210.89340825760811.10659174239192
31512.99291146711352.00708853288647
41211.03662043374890.963379566251083
51010.8136052233086-0.813605223308552
6129.112311428780192.88768857121981
71516.7226937056585-1.72269370565849
8910.2064468734908-1.20644687349084
91212.5515114644146-0.551511464414603
10117.583525232729013.41647476727099
111113.2296887156437-2.22968871564375
121111.9887013068642-0.98870130686419
131512.40117014301922.59882985698077
14711.4133414674605-4.41334146746052
151111.5005748792709-0.500574879270867
161110.62933392547250.3706660745275
171011.9887013068642-1.98870130686419
181414.3713480699243-0.371348069924296
19108.539124172736571.46087582726343
2069.25208777269557-3.25208777269557
21118.757684436214352.24231556378565
221514.40830700201420.591692997985793
231111.8321241939143-0.832124193914347
24129.573315017397212.42668498260279
251412.97955893807211.02044106192787
261514.58167510870310.418324891296903
27914.4071493974688-5.40714939746876
281312.73234693002520.267653069974799
291313.0194521833768-0.0194521833768406
301611.07029029526674.92970970473325
31138.711823786123094.28817621387691
321213.5867172878899-1.58671728788985
331414.7272107657799-0.727210765779894
341110.07487620869880.925123791301208
35910.4191302386940-1.41913023869396
361614.43783142067081.56216857932923
371213.0628717674189-1.06287176741890
38109.569206555946850.430793444053152
391312.87445502672160.125544973278405
401615.61408097284930.385919027150671
411412.98191526449651.01808473550355
42158.012955171329676.98704482867033
4359.64274508912607-4.64274508912607
44810.2464264893849-2.24642648938491
451111.2481503303291-0.248150330329128
461613.83926105290932.16073894709068
471714.32574512571912.67425487428092
4898.182687626013020.817312373986978
49911.4203608324726-2.42036083247257
501314.4765753332751-1.47657533327509
511011.0777659260335-1.07776592603351
52612.3706484532284-6.37064845322837
531212.0969492540191-0.0969492540191498
54810.5001278589498-2.50012785894983
551411.84445074225562.15554925774437
561212.9062946544691-0.906294654469062
571110.66935052277750.330649477222532
581614.58291081199291.41708918800714
59810.5325907267437-2.53259072674373
601514.58803425225780.41196574774217
6179.111277176235-2.11127717623499
621614.18653163078611.81346836921388
631413.14886383656660.851136163433394
641613.37718209441372.62281790558632
65910.4318965090998-1.43189650909984
661412.16335037009881.83664962990121
671113.2598010239003-2.25980102390034
681310.32444454317002.67555545682996
691513.19459862969961.80540137030043
7055.79384205280933-0.793842052809333
711512.90633577180252.09366422819752
721312.58859374850480.411406251495228
731112.4170476037412-1.41704760374118
741114.1988005181039-3.19880051810387
751212.7705498372499-0.770549837249929
761213.4048845511450-1.40488455114495
771212.3360952367413-0.336095236741251
781211.95078208505090.0492179149491302
791410.85781251673073.14218748326928
8067.93738395048076-1.93738395048076
8179.71848077930866-2.71848077930866
821412.41174042041191.58825957958805
831414.1612266178126-0.161226617812591
841011.1702556285443-1.17025562854426
85139.114791107204763.88520889279524
861212.3066119354181-0.306611935418104
8799.32097683904484-0.320976839044838
881211.92431946753190.0756805324681113
891614.80187522200641.1981247779936
901010.4603085764669-0.460308576466903
911413.10173489610100.89826510389905
921013.5910230641623-3.59102306416225
931615.50790582754270.492094172457290
941513.40376392801041.59623607198961
951211.48920050964340.510799490356635
96109.359720751649150.640279248350845
97810.1223314553596-2.12233145535963
9888.71613369831802-0.716133698318018
991112.6649526787338-1.66495267873379
1001312.55915156451500.440848435484956
1011615.61304672030410.386953279695863
1021614.93881876110441.06118123889560
1031415.4034334280837-1.40343342808366
104119.047269367990561.95273063200944
10547.15689033946251-3.15689033946251
1061414.7389510554856-0.73895105548564
107910.5285727718053-1.52857277180526
1081415.2259609958669-1.22596099586693
109810.2495705251893-2.24957052518934
110810.6828675211526-2.68286752115256
1111111.8844673395606-0.884467339560597
1121213.1605588730164-1.16055887301641
1131111.0756151862763-0.0756151862762893
1141413.27216455365250.727835446347487
1151514.44957171037650.550428289623481
1161613.44486416703902.55513583296097
1171612.91336340865963.08663659134041
1181112.7851915946821-1.78519159468211
1191414.1878125873318-0.18781258733183
1201410.88207914123653.11792085876346
1211211.55862644544970.441373554550302
1221412.54645925693091.45354074306906
123810.8855519548729-2.88555195487289
1241314.0815140900250-1.08151409002495
1251613.97521145679552.02478854320445
1261210.61581031953811.38418968046187
1271615.47846364355300.521536356447018
1281212.7671633942029-0.767163394202944
1291111.4615761516564-0.461576151656406
13046.00815950095096-2.00815950095096
1311616.1162670351618-0.116267035161828
1321512.66433357460992.33566642539011
1331011.3605807017562-1.36058070175623
1341314.0185857875817-1.01858578758166
1351513.12712214374131.87287785625868
1361210.49909360640461.50090639359536
1371413.65630769302990.343692306970139
138710.3812604060591-3.38126040605911
1391913.90769385350395.09230614649612
1401212.9451989004845-0.945198900484526
1411211.87293677244450.127063227555525
1421313.3386067870656-0.338606787065571
1431512.41668184449842.58331815550164
14488.84487272228288-0.84487272228288
1451210.92317938026521.07682061973483
1461010.7602294894029-0.7602294894029
147811.2513396193895-3.2513396193895
1481014.6518040142647-4.65180401426466
1491513.86779233635411.13220766364589
1501614.06021189418181.93978810581817
1511313.2704618078049-0.270461807804946
1521615.08402564034930.915974359650727
15399.82283412352541-0.82283412352541
1541413.06100471307310.938995286926912
1551413.15506716855060.844932831449423
1561210.1742007550851.82579924491501


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.1280798671545620.2561597343091240.871920132845438
110.1487047738945520.2974095477891040.851295226105448
120.07793726609842260.1558745321968450.922062733901577
130.5662377992522580.8675244014954850.433762200747742
140.8330554465519840.3338891068960310.166944553448016
150.7631989829703910.4736020340592170.236801017029609
160.680262382528490.639475234943020.31973761747151
170.623779273990840.752441452018320.37622072600916
180.5362767334060860.9274465331878280.463723266593914
190.4510202822834590.9020405645669180.548979717716541
200.6318547919229070.7362904161541870.368145208077093
210.600749433801970.798501132396060.39925056619803
220.6396190348772650.720761930245470.360380965122735
230.5750535905619010.8498928188761980.424946409438099
240.5610791063354970.8778417873290060.438920893664503
250.5140137161932050.971972567613590.485986283806795
260.446021435028750.89204287005750.55397856497125
270.7056200850075350.588759829984930.294379914992465
280.6518615721920640.6962768556158720.348138427807936
290.5920369941375750.815926011724850.407963005862425
300.7268883311028340.5462233377943310.273111668897166
310.8103417605010730.3793164789978550.189658239498928
320.7741440881444990.4517118237110020.225855911855501
330.7272920899944340.5454158200111310.272707910005566
340.6969049858429060.6061900283141870.303095014157094
350.6930274743143280.6139450513713440.306972525685672
360.6897414245139680.6205171509720630.310258575486032
370.663192013933690.673615972132620.33680798606631
380.6144888502933770.7710222994132460.385511149706623
390.5657583755528330.8684832488943330.434241624447167
400.5224581239542390.9550837520915230.477541876045761
410.4838662013850570.9677324027701150.516133798614943
420.7845116472383910.4309767055232180.215488352761609
430.952111404830370.09577719033926120.0478885951696306
440.9563325976328020.08733480473439580.0436674023671979
450.9432977029135360.1134045941729290.0567022970864644
460.9508262798500520.09834744029989620.0491737201499481
470.950688128494580.09862374301084070.0493118715054203
480.9402432804988540.1195134390022910.0597567195011456
490.9378088497472030.1243823005055940.0621911502527971
500.926077997148780.1478440057024390.0739220028512195
510.9193336921810.1613326156380000.0806663078189998
520.986584972607550.02683005478490020.0134150273924501
530.9825938764978370.03481224700432560.0174061235021628
540.9856328792678550.02873424146428900.0143671207321445
550.9911247448812080.01775051023758370.00887525511879184
560.9882047632762930.02359047344741310.0117952367237066
570.9842023489237620.03159530215247650.0157976510762383
580.9825917311777980.03481653764440480.0174082688222024
590.9880609455281150.02387810894376930.0119390544718847
600.9870767006148690.02584659877026220.0129232993851311
610.9866736934625260.02665261307494790.0133263065374740
620.9873673993573830.02526520128523410.0126326006426171
630.9858505365024480.02829892699510390.0141494634975520
640.9891045553931540.02179088921369160.0108954446068458
650.987761731146360.02447653770728060.0122382688536403
660.9873814589380280.02523708212394310.0126185410619716
670.9874463989286570.02510720214268650.0125536010713433
680.9903601998657870.01927960026842640.0096398001342132
690.989955781392620.02008843721476100.0100442186073805
700.986860626927410.0262787461451820.013139373072591
710.987463881787760.02507223642448170.0125361182122409
720.9833716089348050.03325678213038910.0166283910651946
730.9802986265962520.03940274680749630.0197013734037482
740.98618155538760.02763688922480140.0138184446124007
750.9817395419448510.03652091611029750.0182604580551487
760.9783032247770730.04339355044585420.0216967752229271
770.9715658214287820.05686835714243530.0284341785712176
780.9629429493523550.07411410129529050.0370570506476452
790.9769704621913560.0460590756172880.023029537808644
800.9749562880944580.05008742381108440.0250437119055422
810.9774160420298470.04516791594030560.0225839579701528
820.9773586423516640.04528271529667290.0226413576483364
830.9700572495383050.05988550092338980.0299427504616949
840.9627367719924790.07452645601504210.0372632280075211
850.9888269325828230.02234613483435310.0111730674171766
860.9848921819944220.03021563601115670.0151078180055783
870.9798321424549120.04033571509017540.0201678575450877
880.9740041117370150.05199177652596920.0259958882629846
890.9693173001471670.06136539970566540.0306826998528327
900.96049215711530.07901568576940.0395078428847
910.9537813617131280.09243727657374380.0462186382868719
920.9715917772830560.05681644543388780.0284082227169439
930.9636637912626210.07267241747475760.0363362087373788
940.9604094187496070.07918116250078530.0395905812503926
950.951157655134060.09768468973187830.0488423448659391
960.9404298920709240.1191402158581520.0595701079290762
970.9337281319670630.1325437360658740.0662718680329369
980.9171463183739770.1657073632520460.082853681626023
990.9080640043752260.1838719912495470.0919359956247737
1000.8889248528611520.2221502942776960.111075147138848
1010.8646362951944980.2707274096110040.135363704805502
1020.8439869226677510.3120261546644980.156013077332249
1030.8496934075064050.3006131849871890.150306592493595
1040.8989552802539770.2020894394920470.101044719746023
1050.896686568195550.2066268636089020.103313431804451
1060.8724634428635650.2550731142728700.127536557136435
1070.8476840389679630.3046319220640740.152315961032037
1080.8401218532342370.3197562935315260.159878146765763
1090.8305268399472470.3389463201055060.169473160052753
1100.8485349710403570.3029300579192860.151465028959643
1110.8325736363273330.3348527273453340.167426363672667
1120.8759241065532210.2481517868935580.124075893446779
1130.8457392568794540.3085214862410910.154260743120546
1140.8157565892037970.3684868215924060.184243410796203
1150.7774879484253720.4450241031492570.222512051574628
1160.7811674284195420.4376651431609160.218832571580458
1170.7997765856130420.4004468287739160.200223414386958
1180.7854121413124590.4291757173750820.214587858687541
1190.7395291390649960.5209417218700070.260470860935004
1200.8114100862240540.3771798275518930.188589913775946
1210.7805727933466120.4388544133067770.219427206653388
1220.7547577345747980.4904845308504050.245242265425202
1230.7460395637952740.5079208724094520.253960436204726
1240.6993311527012790.6013376945974430.300668847298721
1250.7001036675022630.5997926649954730.299896332497737
1260.687135614960150.6257287700797010.312864385039851
1270.6278678393902220.7442643212195550.372132160609778
1280.5902877709216040.8194244581567920.409712229078396
1290.5941428410310020.8117143179379970.405857158968998
1300.5855860850351240.8288278299297520.414413914964876
1310.5170993973444650.965801205311070.482900602655535
1320.5012118516118160.9975762967763680.498788148388184
1330.4686788045386420.9373576090772840.531321195461358
1340.3985345514955790.7970691029911580.601465448504421
1350.3704257349245660.7408514698491310.629574265075434
1360.3671276785842870.7342553571685740.632872321415713
1370.2948201469901360.5896402939802720.705179853009864
1380.3662729509388230.7325459018776460.633727049061177
1390.7328671654956460.5342656690087070.267132834504354
1400.7453243834512380.5093512330975230.254675616548762
1410.6943162301609920.6113675396780160.305683769839008
1420.598068282359430.803863435281140.40193171764057
1430.5327591583961270.9344816832077450.467240841603873
1440.4102607879723070.8205215759446140.589739212027693
1450.3877643495158410.7755286990316830.612235650484159
1460.5667234466098080.8665531067803840.433276553390192


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 level480.35036496350365NOK