Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 2.39535698605526 + 0.108109507398842FindingFriends[t] + 0.211437082159555KnowingPeople[t] + 0.366476681384955Liked[t] + 0.601540871476521Celebrity[t] + 0.213410758679599Sum_friends[t] -0.255965716461004Month[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.395356986055263.6242850.66090.5096850.254843
FindingFriends0.1081095073988420.095711.12960.2604780.130239
KnowingPeople0.2114370821595550.0637323.31760.0011410.000571
Liked0.3664766813849550.0968943.78220.0002240.000112
Celebrity0.6015408714765210.1557823.86140.0001688.4e-05
Sum_friends0.2134107586795990.1202351.77490.0779490.038974
Month-0.2559657164610040.361236-0.70860.479690.239845


Multiple Linear Regression - Regression Statistics
Multiple R0.71491764765422
R-squared0.511107242927444
Adjusted R-squared0.491420286266804
F-TEST (value)25.9617193118173
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09424916265587
Sum Squared Residuals653.49605373744


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.45284927411811.54715072588193
21211.06578825803540.934211741964616
31513.18287772882771.81712227117231
41211.19190836113010.808091638869943
51010.9663115621461-0.966311562146098
6129.284792751537842.71520724846216
71516.9292219614242-1.92922196142420
8910.3656052702676-1.36560527026762
91212.7395788369399-0.739578836939947
10117.713398693627293.28660130637271
111113.3953574337406-2.39535743374061
121112.1485744532852-1.14857445328522
131512.55645432118192.44354567881813
14711.5865595659690-4.58655956596901
151111.6721110621500-0.67211106215004
161110.78847943458670.211520565413267
171012.1485744532852-2.14857445328522
181414.565530758744-0.565530758744012
19108.678794071460651.32120592853935
2069.4021835689543-3.40218356895430
21118.938810797929342.06118920207066
221514.58915786667600.410842133323976
231111.9785405576374-0.978540557637362
24129.7332677003092.26673229969100
251413.14738870462880.852611295371206
261514.77499416438350.225005835616476
27914.5871841901560-5.58718419015598
281312.90868167882110.0913183211789004
291313.1915105403373-0.191510540337265
301611.25754558530304.74245441469698
31138.84246648219564.15753351780439
321213.7480949965073-1.74809499650727
331414.9106781327545-0.910678132754465
341110.24522011564310.754779884356902
35910.5790160289472-1.57901602894722
361614.62390191819821.37609808180179
371213.2499781739601-1.24997817396013
38109.699566271540150.300433728459845
391313.04125287375-0.0412528737499953
401615.80533022973930.194669770260715
411413.15133605766890.848663942331119
42158.171113383637246.82888661636275
4359.82055835589392-4.82055835589392
44810.4125353620942-2.41253536209418
451111.4061536994077-0.406153699407712
461614.01124410313151.98875589686849
471714.51150107657522.48849892342483
4898.319907578831910.680092421168087
49911.5900163205952-2.59001632059517
501314.6716665896228-1.67166658962281
511011.2464286417128-1.24642864171284
52612.2609626205605-6.26096262056055
531212.0220475515976-0.0220475515975586
54810.4216924287775-2.42169242877746
551411.76170670109142.2382932989086
561212.8239785618513-0.823978561851266
571110.57663555383420.423364446165799
581614.51819386832451.48180613167552
59810.4797394641942-2.47973946419419
601514.50593782781230.4940621721877
6179.02685335855679-2.02685335855679
621614.10956902775111.89043097224890
631413.04636611322450.953633886775472
641613.30482976137932.6951702386207
65910.3363754497126-1.33637544971259
661412.08041871105181.91958128894824
671113.1651785828216-2.16517858282163
681310.23190877802992.76809122197012
691513.10878109988751.89121890011252
7055.65726792090425-0.657267920904248
711512.82397856185132.17602143814873
721312.50724022841100.492759771589045
731112.3427332380780-1.34273323807796
741114.1374678631938-3.13746786319380
751212.6811250029302-0.681125002930237
761213.318244505527-1.31824450552699
771212.2468993779048-0.246899377904798
781211.86139144013600.138608559864013
791410.78816911016243.21183088983758
8067.8493724000558-1.84937240005580
8179.63036790655335-2.63036790655335
821412.30705813278911.69294186721093
831414.1001016366435-0.100101636643497
841011.07484885055-1.07484885055001
85139.032774388116923.96722561188308
861212.2121553263826-0.212155326382611
8799.21415287722376-0.214152877223756
881211.84995037250830.150049627491654
891614.72132226301191.27867773698806
901010.3719540808328-0.371954080832819
911413.03896887280560.961031127194365
921013.5202141965789-3.52021419657894
931615.44406326199750.555936738002475
941513.31346257288891.68653742711114
951211.39636911662840.60363088337155
96109.261917548648360.738082451351644
97810.0250675474185-2.02506754741848
9888.61739393838537-0.617393938385365
991112.5923711263859-1.59237112638585
1001312.47249617688880.527503823111233
1011615.54739083675820.452609163241762
1021614.86614949845301.13385050154698
1031415.3628995742094-1.36289957420936
104118.96962129602462.03037870397541
10547.05721329823365-3.05721329823365
1061414.6716803892360-0.67168038923596
107910.4516545476615-1.45165454766152
1081415.1461701038511-1.14617010385110
109810.1798726295277-2.17987262952772
110810.6121245780331-2.61212457803312
1111111.8058285367999-0.805828536799874
1121213.0605258300489-1.06052583004894
1131110.98651557221180.0134844277882477
1141413.20150218661860.798497813381411
1151514.38490417467970.615095825320293
1161613.36517459735352.63482540264646
1171612.83305182871363.16694817128641
1181112.7242042158854-1.72420421588537
1191414.1115427042711-0.111542704271138
1201410.79285456863193.20714543136811
1211211.48085151609530.51914848390472
1221412.45355452742621.54644547257378
123810.7987755981920-2.79877559819202
1241314.0062414529904-1.00624145299038
1251613.89813194559152.10186805440846
1261210.54001429996061.45998570003937
1271615.40931921047530.590680789524662
1281212.6780122294882-0.678012229488191
1291111.3801461163627-0.380146116362679
13045.8412685850392-1.84126858503920
1311616.0495514865141-0.0495514865141337
1321512.57582375164952.42417624835052
1331011.3077117142527-1.30771171425273
1341313.9537913230963-0.953791323096314
1351513.04843626391321.95156373608677
1361210.41971875225741.58028124774258
1371413.57661167951310.423388320486901
138710.2974495280342-3.29744952803416
1391913.83778710961735.1622128903827
1401212.8689349771578-0.86893497715778
1411211.79166881997550.20833118002454
1421313.2598733460728-0.259873346072788
1431512.36292344853052.63707655146954
14488.703243084643-0.703243084643001
1451210.84456659309661.15543340690343
1461010.6737245918115-0.673724591811528
147811.1762992229593-3.17629922295934
1481014.5889371491730-4.58893714917302
1491513.78804876167271.21195123832735
1501613.97973608873252.02026391126752
1511313.177364623126-0.177364623126001
1521615.01921542115840.980784578841628
15399.73172180479402-0.731721804794023
1541412.98725684834091.01274315165905
1551413.05904275194280.940957248057168
1561210.11128910628921.88871089371080


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.1278914352084840.2557828704169680.872108564791516
110.1487861606256160.2975723212512330.851213839374384
120.07809752211031430.1561950442206290.921902477889686
130.5657695760871150.868460847825770.434230423912885
140.8345514723696170.3308970552607660.165448527630383
150.7653979771927530.4692040456144930.234602022807247
160.6826405775169710.6347188449660570.317359422483029
170.6278627665083550.7442744669832910.372137233491645
180.5411470439206110.9177059121587790.458852956079389
190.4593125507532350.918625101506470.540687449246765
200.742803998934360.5143920021312810.257196001065641
210.6842969964043430.6314060071913140.315703003595657
220.6524968797002310.6950062405995380.347503120299769
230.5846365696804950.830726860639010.415363430319505
240.5642013957166130.8715972085667750.435798604283387
250.5230006492044380.9539987015911240.476999350795562
260.4597019430122360.9194038860244720.540298056987764
270.717192424535840.5656151509283190.282807575464160
280.6630694013288210.6738611973423570.336930598671179
290.6040444396878150.791911120624370.395955560312185
300.7354506159061140.5290987681877710.264549384093886
310.8233720157905880.3532559684188240.176627984209412
320.7888852378841240.4222295242317520.211114762115876
330.7459288306001790.5081423387996420.254071169399821
340.7042306843874940.5915386312250120.295769315612506
350.6947582348701790.6104835302596420.305241765129821
360.6936765706629870.6126468586740260.306323429337013
370.664900322016470.6701993559670610.335099677983531
380.6143754060285530.7712491879428940.385624593971447
390.5674553471119860.8650893057760280.432544652888014
400.526587272190480.946825455619040.47341272780952
410.4918658617235460.9837317234470920.508134138276454
420.8132251779991720.3735496440016570.186774822000828
430.9502306452693950.09953870946120930.0497693547306046
440.9552553146568350.08948937068633040.0447446853431652
450.9421467217381180.1157065565237640.057853278261882
460.9486581963739850.1026836072520300.0513418036260152
470.952684836851150.09463032629769870.0473151631488494
480.9467346666251330.1065306667497340.0532653333748668
490.939075602812030.121848794375940.06092439718797
500.9238357115464060.1523285769071880.076164288453594
510.9170455763737460.1659088472525070.0829544236262537
520.9609440943852910.0781118112294180.039055905614709
530.975076926149460.04984614770107930.0249230738505397
540.9718371594252160.05632568114956770.0281628405747839
550.9889823815551780.02203523688964480.0110176184448224
560.9852109609431650.029578078113670.014789039056835
570.9810106844219460.03797863115610710.0189893155780536
580.9806333917426660.03873321651466810.0193666082573340
590.9852532081636030.02949358367279500.0147467918363975
600.9855554384724690.02888912305506160.0144445615275308
610.9845384820964260.03092303580714720.0154615179035736
620.9864424205334830.02711515893303420.0135575794665171
630.985098940130970.02980211973806230.0149010598690312
640.9886871930317250.02262561393654930.0113128069682746
650.9867947781676440.02641044366471280.0132052218323564
660.9864999679889420.02700006402211670.0135000320110583
670.9866340751044350.02673184979112920.0133659248955646
680.9897047455329940.02059050893401270.0102952544670063
690.9892021943903460.02159561121930810.0107978056096541
700.9858675309357570.02826493812848530.0141324690642427
710.986282202829730.02743559434054080.0137177971702704
720.9817692661036380.03646146779272420.0182307338963621
730.97851605965160.04296788069679930.0214839403483997
740.9851619440247660.02967611195046780.0148380559752339
750.980529196077030.03894160784594080.0194708039229704
760.9773110331044890.04537793379102270.0226889668955113
770.9704579322019940.0590841355960120.029542067798006
780.9615021579506960.0769956840986080.038497842049304
790.9751228418542850.04975431629142950.0248771581457147
800.9733729745939850.05325405081203080.0266270254060154
810.9765602916522050.04687941669559050.0234397083477953
820.976047241438450.04790551712310110.0239527585615505
830.9683880460654080.06322390786918430.0316119539345921
840.9611920973839560.07761580523208890.0388079026160445
850.98712121226980.02575757546040110.0128787877302006
860.9829159987821780.03416800243564420.0170840012178221
870.9772529927120760.04549401457584820.0227470072879241
880.9705500903059630.05889981938807420.0294499096940371
890.9648255717676840.0703488564646320.035174428232316
900.9548333852326670.09033322953466580.0451666147673329
910.9463822853504170.1072354292991660.053617714649583
920.9684594161694270.06308116766114660.0315405838305733
930.9595988229735570.08080235405288610.0404011770264430
940.9547199845947650.09056003081046940.0452800154052347
950.9435358785804190.1129282428391630.0564641214195815
960.9303705515340340.1392588969319320.0696294484659659
970.9234598037512260.1530803924975480.0765401962487741
980.9048819033103750.1902361933792500.0951180966896251
990.8981005795833680.2037988408332640.101899420416632
1000.876195105326840.247609789346320.12380489467316
1010.8501794250984820.2996411498030370.149820574901518
1020.825906868612140.3481862627757190.174093131387860
1030.8385541708630190.3228916582739630.161445829136981
1040.8828167306378040.2343665387243910.117183269362196
1050.8829925940970980.2340148118058040.117007405902902
1060.8576555866366670.2846888267266660.142344413363333
1070.8336779754009390.3326440491981220.166322024599061
1080.827560986979270.3448780260414610.172439013020730
1090.8230489187687990.3539021624624020.176951081231201
1100.848709810020750.3025803799584980.151290189979249
1110.8347267926308150.330546414738370.165273207369185
1120.8797075486575490.2405849026849020.120292451342451
1130.8497315507482740.3005368985034510.150268449251726
1140.8188034970572660.3623930058854680.181196502942734
1150.7801872656628480.4396254686743040.219812734337152
1160.780552901422370.4388941971552580.219447098577629
1170.7961343451799270.4077313096401460.203865654820073
1180.7832857293160270.4334285413679460.216714270683973
1190.7372809144726180.5254381710547640.262719085527382
1200.804883376779090.390233246441820.19511662322091
1210.7714221960679940.4571556078640130.228577803932006
1220.7418153757850390.5163692484299210.258184624214961
1230.7375831535085970.5248336929828050.262416846491403
1240.6914008873725850.617198225254830.308599112627415
1250.6870116480504970.6259767038990070.312988351949503
1260.6687336148610580.6625327702778850.331266385138942
1270.6093459523972730.7813080952054540.390654047602727
1280.5752836861544360.8494326276911280.424716313845564
1290.5909362793226170.8181274413547670.409063720677383
1300.5816198573322990.8367602853354020.418380142667701
1310.5125338933303910.9749322133392180.487466106669609
1320.4984658361913230.9969316723826460.501534163808677
1330.4636117422821130.9272234845642260.536388257717887
1340.3949575926294500.7899151852588990.605042407370550
1350.3680375450366760.7360750900733530.631962454963324
1360.3605434839510510.7210869679021030.639456516048948
1370.2907907980571170.5815815961142350.709209201942883
1380.3637061405090170.7274122810180340.636293859490983
1390.7189874456702850.562025108659430.281012554329715
1400.7396645315016080.5206709369967840.260335468498392
1410.6840940921373040.6318118157253930.315905907862697
1420.5844214761240330.8311570477519330.415578523875967
1430.5303791054277880.9392417891444230.469620894572212
1440.4053528230364980.8107056460729970.594647176963502
1450.3718906746069710.7437813492139420.628109325393029
1460.5073890476363150.9852219047273710.492610952363685


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level290.211678832116788NOK
10% type I error level450.328467153284672NOK