Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.0341957712676846 + 0.106302633229405FindingFriends[t] + 0.211443525990832KnowingPeople[t] + 0.357643540447476Liked[t] + 0.606004881194799Celebrity[t] + 0.212601130536282Sum_friends[t] + 4.111733341944e-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)0.03419577126768461.4333610.02390.9809990.490499
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
Day4.111733341944e-050.0625297e-040.9994760.499738


Multiple Linear Regression - Regression Statistics
Multiple R0.713764529068044
R-squared0.509459802955726
Adjusted R-squared0.489706506430454
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
11311.26896341492921.73103658507082
21210.89340825760811.10659174239191
31512.99291146711362.00708853288645
41211.03662043374890.963379566251072
51010.8136052233086-0.813605223308556
6129.112311428780182.88768857121982
71516.7226937056585-1.72269370565849
8910.2064468734908-1.20644687349083
91212.5515114644146-0.551511464414602
10117.583525232729013.41647476727099
111113.2296887156437-2.22968871564374
121111.9887013068642-0.988701306864189
131512.40117014301922.59882985698077
14711.4133414674605-4.41334146746051
151111.5005748792709-0.500574879270867
161110.62933392547250.370666074527504
171011.9887013068642-1.98870130686419
181414.3713480699243-0.371348069924296
19108.539124172736571.46087582726343
2069.25208777269556-3.25208777269556
21118.757684436214342.24231556378566
221514.40830700201420.591692997985793
231111.8321241939143-0.832124193914343
24129.573315017397212.42668498260279
251412.97955893807211.02044106192787
261514.58167510870310.418324891296904
27914.4071493974688-5.40714939746876
281312.73234693002520.267653069974801
291313.0194521833768-0.0194521833768389
301611.07029029526684.92970970473325
31138.711823786123084.28817621387692
321213.5867172878898-1.58671728788985
331414.7272107657799-0.727210765779895
341110.07487620869880.925123791301211
35910.419130238694-1.41913023869395
361614.43783142067081.56216857932923
371213.0628717674189-1.06287176741891
38109.569206555946840.430793444053156
391312.87445502672160.125544973278406
401615.61408097284930.38591902715067
411412.98191526449651.01808473550355
42158.012955171329666.98704482867033
4359.64274508912607-4.64274508912607
44810.2464264893849-2.24642648938491
451111.2481503303291-0.248150330329128
461613.83926105290932.16073894709068
471714.32574512571912.67425487428092
4898.182687626013020.81731237398698
49911.4203608324726-2.42036083247257
501314.4765753332751-1.47657533327509
511011.0777659260335-1.07776592603351
52612.3706484532284-6.37064845322836
531212.0969492540191-0.0969492540191494
54810.5001278589498-2.50012785894983
551411.84445074225562.15554925774437
561212.9062946544691-0.906294654469061
571110.66935052277750.330649477222535
581614.58291081199291.41708918800714
59810.5325907267437-2.53259072674372
601514.58803425225780.41196574774217
6179.11127717623499-2.11127717623499
621614.18653163078611.81346836921388
631413.14886383656660.851136163433398
641613.37718209441372.62281790558632
65910.4318965090998-1.43189650909984
661412.16335037009881.83664962990121
671113.2598010239003-2.25980102390034
681310.324444543172.67555545682996
691513.19459862969961.80540137030043
7055.79384205280933-0.793842052809328
711512.90633577180252.09366422819752
721312.58859374850480.411406251495228
731112.4170476037412-1.41704760374118
741114.1988005181039-3.19880051810387
751212.7705498372499-0.770549837249928
761213.404884551145-1.40488455114495
771212.3360952367413-0.336095236741251
781211.95078208505090.0492179149491326
791410.85781251673073.14218748326928
8067.93738395048075-1.93738395048075
8179.71848077930866-2.71848077930866
821412.41174042041191.58825957958806
831414.1612266178126-0.161226617812593
841011.1702556285443-1.17025562854426
85139.114791107204763.88520889279524
861212.3066119354181-0.306611935418104
8799.32097683904484-0.320976839044836
881211.92431946753190.0756805324681125
891614.80187522200641.1981247779936
901010.4603085764669-0.460308576466901
911413.1017348961010.898265103899047
921013.5910230641623-3.59102306416225
931615.50790582754270.492094172457289
941513.40376392801041.59623607198961
951211.48920050964340.510799490356636
96109.359720751649150.640279248350848
97810.1223314553596-2.12233145535963
9888.71613369831802-0.716133698318016
991112.6649526787338-1.66495267873379
1001312.5591515645150.440848435484955
1011615.61304672030410.386953279695863
1021614.93881876110441.0611812388956
1031415.4034334280837-1.40343342808366
104119.047269367990561.95273063200944
10547.15689033946251-3.15689033946251
1061414.7389510554856-0.738951055485645
107910.5285727718053-1.52857277180526
1081415.2259609958669-1.22596099586694
109810.2495705251893-2.24957052518933
110810.6828675211526-2.68286752115256
1111111.8844673395606-0.884467339560597
1121213.1605588730164-1.1605588730164
1131111.0756151862763-0.0756151862762911
1141413.27216455365250.727835446347485
1151514.44957171037650.550428289623478
1161613.4448641670392.55513583296097
1171612.91336340865963.08663659134041
1181112.7851915946821-1.78519159468211
1191414.1878125873318-0.187812587331831
1201410.88207914123653.11792085876347
1211211.55862644544970.441373554550303
1221412.54645925693091.45354074306906
123810.8855519548729-2.88555195487288
1241314.081514090025-1.08151409002495
1251613.97521145679552.02478854320445
1261210.61581031953811.38418968046186
1271615.4784636435530.521536356447016
1281212.7671633942029-0.767163394202944
1291111.4615761516564-0.461576151656405
13046.00815950095096-2.00815950095096
1311616.1162670351618-0.116267035161831
1321512.66433357460992.33566642539011
1331011.3605807017562-1.36058070175623
1341314.0185857875817-1.01858578758167
1351513.12712214374131.87287785625868
1361210.49909360640461.50090639359536
1371413.65630769302990.343692306970139
138710.3812604060591-3.38126040605911
1391913.90769385350395.09230614649612
1401212.9451989004845-0.945198900484526
1411211.87293677244450.127063227555527
1421313.3386067870656-0.338606787065572
1431512.41668184449842.58331815550164
14488.84487272228288-0.844872722282876
1451210.92317938026521.07682061973483
1461010.7602294894029-0.760229489402903
147811.2513396193895-3.2513396193895
1481014.6518040142647-4.65180401426466
1491513.86779233635411.13220766364589
1501614.06021189418181.93978810581816
1511313.2704618078049-0.270461807804948
1521615.08402564034930.915974359650725
15399.82283412352541-0.82283412352541
1541413.06100471307310.93899528692691
1551413.15506716855060.844932831449422
1561210.1742007550851.82579924491501


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.1280798671545630.2561597343091260.871920132845437
110.1487047738945520.2974095477891030.851295226105448
120.07793726609842320.1558745321968460.922062733901577
130.5662377992522580.8675244014954830.433762200747742
140.8330554465519840.3338891068960320.166944553448016
150.7631989829703910.4736020340592180.236801017029609
160.6802623825284910.6394752349430190.319737617471509
170.623779273990840.752441452018320.37622072600916
180.5362767334060840.9274465331878320.463723266593916
190.4510202822834630.9020405645669260.548979717716537
200.6318547919229070.7362904161541870.368145208077093
210.600749433801970.7985011323960610.39925056619803
220.6396190348772660.7207619302454680.360380965122734
230.57505359056190.8498928188761990.4249464094381
240.5610791063354970.8778417873290060.438920893664503
250.5140137161932050.9719725676135890.485986283806795
260.4460214350287510.8920428700575020.553978564971249
270.7056200850075340.5887598299849310.294379914992466
280.6518615721920650.696276855615870.348138427807935
290.5920369941375740.8159260117248510.407963005862426
300.7268883311028320.5462233377943350.273111668897168
310.8103417605010730.3793164789978540.189658239498927
320.7741440881444990.4517118237110020.225855911855501
330.7272920899944340.5454158200111310.272707910005566
340.6969049858429060.6061900283141880.303095014157094
350.6930274743143270.6139450513713450.306972525685673
360.6897414245139670.6205171509720670.310258575486033
370.6631920139336890.6736159721326220.336807986066311
380.6144888502933780.7710222994132430.385511149706622
390.5657583755528350.8684832488943310.434241624447165
400.5224581239542370.9550837520915270.477541876045763
410.4838662013850590.9677324027701180.516133798614941
420.784511647238390.4309767055232190.21548835276161
430.9521114048303690.09577719033926180.0478885951696309
440.9563325976328020.08733480473439610.0436674023671981
450.9432977029135360.1134045941729290.0567022970864644
460.9508262798500530.09834744029989480.0491737201499474
470.950688128494580.09862374301084090.0493118715054204
480.9402432804988540.1195134390022930.0597567195011463
490.9378088497472030.1243823005055940.0621911502527969
500.926077997148780.1478440057024410.0739220028512203
510.9193336921810010.1613326156379990.0806663078189994
520.986584972607550.02683005478490020.0134150273924501
530.9825938764978370.03481224700432550.0174061235021628
540.9856328792678560.02873424146428870.0143671207321444
550.9911247448812080.01775051023758350.00887525511879177
560.9882047632762930.0235904734474130.0117952367237065
570.9842023489237620.03159530215247650.0157976510762383
580.9825917311777980.03481653764440480.0174082688222024
590.9880609455281150.02387810894376950.0119390544718847
600.9870767006148690.02584659877026220.0129232993851311
610.9866736934625260.02665261307494790.0133263065374739
620.9873673993573830.02526520128523420.0126326006426171
630.9858505365024480.02829892699510420.0141494634975521
640.9891045553931540.02179088921369150.0108954446068458
650.987761731146360.02447653770728070.0122382688536403
660.9873814589380280.02523708212394310.0126185410619716
670.9874463989286570.02510720214268620.0125536010713431
680.9903601998657870.01927960026842630.00963980013421316
690.989955781392620.02008843721476090.0100442186073805
700.9868606269274090.02627874614518210.013139373072591
710.9874638817877590.02507223642448170.0125361182122409
720.9833716089348050.03325678213038940.0166283910651947
730.9802986265962520.03940274680749630.0197013734037482
740.9861815553875990.02763688922480170.0138184446124008
750.9817395419448510.03652091611029740.0182604580551487
760.9783032247770730.04339355044585410.0216967752229271
770.9715658214287820.05686835714243510.0284341785712175
780.9629429493523550.074114101295290.037057050647645
790.9769704621913560.0460590756172880.023029537808644
800.9749562880944580.0500874238110840.025043711905542
810.9774160420298470.04516791594030550.0225839579701528
820.9773586423516640.04528271529667280.0226413576483364
830.9700572495383050.05988550092338960.0299427504616948
840.9627367719924790.0745264560150420.037263228007521
850.9888269325828240.02234613483435310.0111730674171765
860.9848921819944220.03021563601115650.0151078180055783
870.9798321424549120.04033571509017560.0201678575450878
880.9740041117370150.05199177652596940.0259958882629847
890.9693173001471670.06136539970566560.0306826998528328
900.96049215711530.07901568576940030.0395078428847002
910.9537813617131280.09243727657374380.0462186382868719
920.9715917772830560.05681644543388770.0284082227169439
930.9636637912626210.07267241747475730.0363362087373787
940.9604094187496070.07918116250078510.0395905812503926
950.9511576551340610.09768468973187790.0488423448659389
960.9404298920709240.1191402158581530.0595701079290764
970.9337281319670630.1325437360658740.0662718680329371
980.9171463183739780.1657073632520450.0828536816260223
990.9080640043752260.1838719912495470.0919359956247736
1000.8889248528611520.2221502942776960.111075147138848
1010.8646362951944980.2707274096110040.135363704805502
1020.8439869226677520.3120261546644960.156013077332248
1030.8496934075064060.3006131849871880.150306592493594
1040.8989552802539770.2020894394920460.101044719746023
1050.8966865681955490.2066268636089020.103313431804451
1060.8724634428635650.2550731142728690.127536557136435
1070.8476840389679640.3046319220640720.152315961032036
1080.8401218532342380.3197562935315240.159878146765762
1090.8305268399472470.3389463201055060.169473160052753
1100.8485349710403570.3029300579192850.151465028959643
1110.8325736363273330.3348527273453340.167426363672667
1120.8759241065532210.2481517868935580.124075893446779
1130.8457392568794540.3085214862410920.154260743120546
1140.8157565892037970.3684868215924060.184243410796203
1150.7774879484253710.4450241031492570.222512051574629
1160.7811674284195430.4376651431609140.218832571580457
1170.7997765856130420.4004468287739150.200223414386958
1180.7854121413124590.4291757173750810.214587858687541
1190.7395291390649950.520941721870010.260470860935005
1200.8114100862240540.3771798275518930.188589913775946
1210.7805727933466120.4388544133067770.219427206653388
1220.7547577345747970.4904845308504060.245242265425203
1230.7460395637952740.5079208724094510.253960436204726
1240.6993311527012780.6013376945974430.300668847298722
1250.7001036675022640.5997926649954720.299896332497736
1260.687135614960150.6257287700797010.31286438503985
1270.6278678393902230.7442643212195530.372132160609777
1280.5902877709216020.8194244581567950.409712229078398
1290.5941428410310010.8117143179379990.405857158968999
1300.5855860850351240.8288278299297530.414413914964876
1310.5170993973444640.9658012053110710.482900602655536
1320.5012118516118160.9975762967763690.498788148388184
1330.4686788045386420.9373576090772840.531321195461358
1340.3985345514955780.7970691029911550.601465448504422
1350.3704257349245640.7408514698491270.629574265075436
1360.3671276785842870.7342553571685750.632872321415713
1370.2948201469901370.5896402939802740.705179853009863
1380.3662729509388210.7325459018776420.633727049061179
1390.7328671654956460.5342656690087080.267132834504354
1400.7453243834512390.5093512330975230.254675616548761
1410.6943162301609940.6113675396780130.305683769839006
1420.5980682823594280.8038634352811440.401931717640572
1430.5327591583961280.9344816832077450.467240841603872
1440.4102607879723090.8205215759446180.589739212027691
1450.3877643495158410.7755286990316830.612235650484159
1460.5667234466098070.8665531067803850.433276553390193


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