Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 7.13071247390462 -0.501068230469552FindingFriends[t] + 0.0144399681786133KnowingPeople[t] + 0.0195920449423166friends_knowning[t] + 0.453370355865983Liked[t] -0.0119296940515774friends_liked[t] -1.04257015127669Celebrity[t] + 0.146732923963820friends_celeb[t] + 1.14069077304853Sum[t] -0.0845908632946571friends_sum[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.130712473904625.6180271.26930.206370.103185
FindingFriends-0.5010682304695520.493294-1.01580.3114250.155712
KnowingPeople0.01443996817861330.399690.03610.971230.485615
friends_knowning0.01959204494231660.0357770.54760.5847940.292397
Liked0.4533703558659830.5020720.9030.3680140.184007
friends_liked-0.01192969405157740.047077-0.25340.8003080.400154
Celebrity-1.042570151276691.209949-0.86170.3902850.195143
friends_celeb0.1467329239638200.1071871.36890.1731210.086561
Sum1.140690773048530.8414241.35570.1772980.088649
friends_sum-0.08459086329465710.075323-1.1230.2632630.131631


Multiple Linear Regression - Regression Statistics
Multiple R0.722001202058945
R-squared0.521285735774562
Adjusted R-squared0.491775952363404
F-TEST (value)17.6648445199185
F-TEST (DF numerator)9
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.09351674679716
Sum Squared Residuals639.890605891545


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11310.93932622453882.06067377546120
21210.86375721733151.13624278266855
31512.53808435620292.46191564379708
41210.91479031769241.08520968230763
51010.9065837761927-0.906583776192664
6128.867548810019663.13245118998034
71517.3348198468565-2.3348198468565
8910.2737377490074-1.27373774900742
91212.3298145937458-0.329814593745755
10117.7036958121163.296304187884
111112.2356569872936-1.23565698729358
121112.1460020623454-1.14600206234544
131512.54000744258592.45999255741406
14710.9327752831474-3.93277528314743
151111.8860311300230-0.886031130023043
161110.77282676398020.227173236019755
171012.1460020623454-2.14600206234543
181414.2820743220530-0.282074322053041
19108.624081994344561.37591800565544
2069.54277687401174-3.54277687401174
21119.769315766106751.23068423389325
221514.30147015053560.69852984946435
231111.9879112587432-0.98791125874321
24129.401160132574412.59883986742559
251413.32879370602550.671206293974503
261514.53178797033390.468212029666069
27914.3212313362724-5.32123133627244
281313.0420161354698-0.0420161354698297
291312.56280214171560.437197858284434
301610.70694713531465.29305286468537
31139.058883606576963.94111639342304
321213.2656904540232-1.26569045402324
331414.7947034298603-0.794703429860287
341110.59780439189720.402195608102836
35910.3993381625201-1.39933816252006
361614.40007434010581.59992565989419
371212.9527000501128-0.952700050112832
381010.2816921026549-0.281692102654871
391312.87549941880570.124500581194254
401615.50390135053710.496098649462922
411413.08090551807800.91909448192204
42158.594425962985336.40557403701467
4358.72145244464665-3.72145244464665
44810.2803705458728-2.28037054587275
451111.1736409222425-0.173640922242536
461613.74937396669292.25062603330708
471714.32744252797422.67255747202575
4898.293707264202580.706292735797424
49911.4237199277776-2.42371992777761
501314.6345807087657-1.63458070876572
511010.9589490446740-0.958949044674013
52612.0949341895663-6.09493418956629
531212.1721492745242-0.172149274524155
54810.2711326945549-2.27113269455493
551412.31808629218001.68191370781997
561212.9345812369023-0.934581236902313
571110.93320684879770.0667931512023279
581614.39509111263131.60490888736870
59810.5242002387326-2.52420023873258
601514.47234079498320.527659205016821
6178.99149290399343-1.99149290399343
621614.26535348129691.7346465187031
631412.44526478281271.55473521718731
641613.30959558459572.69040441540429
65910.8253687840318-1.82536878403182
661412.23708016827621.76291983172384
671113.3953809193164-2.39538091931638
681310.30399868259802.69600131740202
691513.20650593159061.79349406840939
7054.638663774814840.361336225185164
711512.93458123690232.06541876309769
721312.48828099530140.511719004698553
731112.3566762937614-1.35667629376135
741114.0222084053631-3.02220840536308
751212.7149926705601-0.71499267056012
761213.5799945330508-1.57999453305079
771212.4119671620672-0.411967162067243
781212.0489431376080-0.0489431376080456
791410.58134672180203.41865327819801
8067.58956533899704-1.58956533899704
8179.58577374630882-2.58577374630882
821412.61440080302861.38559919697144
831414.0323606737721-0.0323606737721499
841011.1562354690427-1.15623546904270
85138.619660622072134.38033937792787
861212.6976423672448-0.697642367244776
8799.3863694549946-0.386369454994595
881211.85851047603720.14148952396285
891614.66277088605371.33722911394631
901010.4708006369433-0.470800636943257
911412.92212073252531.07787926747474
921013.5000256756662-3.50002567566622
931615.60400647208020.395993527919833
941513.26165220086531.73834779913472
951211.50219757435680.497802425643212
96109.399503813035540.600496186964465
9789.49370108808758-1.49370108808758
9888.16051735795124-0.160517357951236
991112.4720212055406-1.47202120554065
1001312.58181650310510.418183496894865
1011615.52366253627390.476337463726128
1021615.04424793734670.9557520626533
1031416.205090299453-2.20509029945300
104119.37862820205921.62137179794081
10547.74128845004527-3.74128845004527
1061415.1234318658932-1.12343186589317
107910.9355728477718-1.93557284777183
1081415.1029146254051-1.10291462540508
109810.4697215653163-2.46972156531634
110811.0222268640315-3.02222686403150
1111111.7399605772429-0.739960577242937
1121211.72595454052750.274045459472454
1131111.2068372326215-0.206837232621550
1141413.45013274554680.549867254453218
1151514.48022802862190.51977197137813
1161613.40783441691172.59216558308832
1171613.26386281227352.73613718772651
1181112.6382246488744-1.63822464887442
1191414.1414093873231-0.14140938732313
1201410.95046674776823.04953325223176
1211211.39491113801320.60508886198677
1221412.65195988707731.34804011292273
123810.8911831905579-2.89118319055786
1241314.1836397913579-1.18363979135789
1251614.01580897381051.98419102618952
1261210.54928181609301.45071818390697
1271615.69754197988390.302458020116145
1281213.2031932925129-1.20319329251285
1291111.4293830912187-0.429383091218697
13046.10612877200004-2.10612877200004
1311616.0743432204218-0.0743432204217874
1321512.62578577052492.37421422947515
1331011.0761743627835-1.07617436278346
1341313.4873970152744-0.487397015274428
1351513.26551913181241.73448086818763
1361210.39507678852871.60492321147130
1371413.63778687945580.362213120544224
138710.3648158549381-3.36481585493814
1391914.07482217403234.92517782596775
1401213.0450278327524-1.04502783275237
1411211.98222904243600.0177709575640404
1421313.5150636392988-0.515063639298784
1431512.44784099418932.55215900581071
14489.40102189128402-1.40102189128402
1451210.77022170952781.22977829047224
1461010.8018247307924-0.80182473079243
147811.1739712445785-3.17397124457850
1481014.7937263715450-4.79372637154504
1491513.86773934199991.13226065800013
1501614.51143769712601.48856230287396
1511313.1972777828502-0.197277782850192
1521615.22886155108110.77113844891889
15399.84022680652135-0.840226806521353
1541412.79357522105661.20642477894338
1551413.18392952792900.816070472070982
1561210.22181770317071.77818229682926


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.7898567546380460.4202864907239080.210143245361954
140.7942902572015090.4114194855969820.205709742798491
150.7202810796803480.5594378406393040.279718920319652
160.6523604345969260.6952791308061480.347639565403074
170.5596470212249780.8807059575500430.440352978775022
180.4616115289743370.9232230579486750.538388471025663
190.3668002944528090.7336005889056180.633199705547191
200.7874859103076980.4250281793846050.212514089692302
210.7466492526422180.5067014947155630.253350747357782
220.715504873072460.568990253855080.28449512692754
230.6495913161694570.7008173676610860.350408683830543
240.6776320019475840.6447359961048330.322367998052416
250.6120636709968890.7758726580062230.387936329003111
260.5424017602106330.9151964795787350.457598239789367
270.7794511569164080.4410976861671850.220548843083592
280.7229350643796290.5541298712407430.277064935620371
290.673630398785580.652739202428840.32636960121442
300.8204145699553320.3591708600893360.179585430044668
310.8636022889041690.2727954221916620.136397711095831
320.829536882497180.3409262350056390.170463117502820
330.7938871419278080.4122257161443840.206112858072192
340.7480112086196110.5039775827607780.251988791380389
350.7267026399417630.5465947201164740.273297360058237
360.7295595217307130.5408809565385740.270440478269287
370.6969631452702820.6060737094594360.303036854729718
380.7141915196329010.5716169607341980.285808480367099
390.6703875633683330.6592248732633350.329612436631667
400.6315972753847290.7368054492305420.368402724615271
410.5998466211228090.8003067577543820.400153378877191
420.8589058849516620.2821882300966760.141094115048338
430.9440001586580830.1119996826838330.0559998413419166
440.9491198464297440.1017603071405120.050880153570256
450.9338427767558440.1323144464883110.0661572232441556
460.9399472788790720.1201054422418570.0600527211209284
470.9347969007239560.1304061985520890.0652030992760443
480.920770403555790.1584591928884180.0792295964442091
490.9190128067438660.1619743865122680.0809871932561338
500.9059598217031260.1880803565937480.094040178296874
510.8948115087000930.2103769825998140.105188491299907
520.9781574702131610.04368505957367770.0218425297868389
530.9711648381510990.05767032369780280.0288351618489014
540.976673377976080.04665324404783940.0233266220239197
550.9785811898977020.0428376202045950.0214188101022975
560.9738781980005920.05224360399881540.0261218019994077
570.9658585222950670.06828295540986530.0341414777049327
580.9594751766150940.08104964676981110.0405248233849056
590.9722119773976130.05557604520477470.0277880226023874
600.9669889602787060.06602207944258780.0330110397212939
610.9664756164496840.06704876710063230.0335243835503162
620.9637195857009570.07256082859808680.0362804142990434
630.9751667111340090.04966657773198210.0248332888659910
640.979524992909630.04095001418074130.0204750070903706
650.9799913370157180.04001732596856430.0200086629842821
660.9780335338043740.04393293239125270.0219664661956263
670.9810279010737370.03794419785252530.0189720989262627
680.9846393529409020.03072129411819540.0153606470590977
690.983258741185670.03348251762865910.0167412588143296
700.9784648100384530.04307037992309320.0215351899615466
710.9784387556958410.04312248860831750.0215612443041588
720.9717362325257350.05652753494853010.0282637674742651
730.967229320697420.06554135860515940.0327706793025797
740.9831713469439960.03365730611200830.0168286530560041
750.9786314960716230.04273700785675470.0213685039283773
760.976356828459680.04728634308063950.0236431715403197
770.9693359646131150.06132807077376940.0306640353868847
780.9599077610062060.08018447798758810.0400922389937940
790.974872137223660.05025572555268060.0251278627763403
800.9735242855972280.05295142880554410.0264757144027721
810.9797943457412680.04041130851746460.0202056542587323
820.979387216776990.04122556644601890.0206127832230095
830.9726502437570050.05469951248598920.0273497562429946
840.9671765957549930.06564680849001420.0328234042450071
850.9897074137121950.02058517257561010.0102925862878050
860.986493814682750.02701237063449910.0135061853172496
870.9818999273584570.03620014528308590.0181000726415430
880.9757554052950730.04848918940985480.0242445947049274
890.9703204393328270.05935912133434670.0296795606671734
900.9616352920621850.07672941587563010.0383647079378151
910.953494781228670.09301043754265960.0465052187713298
920.9774566890846160.04508662183076810.0225433109153841
930.9699903255022870.06001934899542570.0300096744977128
940.9644198627730510.07116027445389750.0355801372269487
950.9537786927207020.09244261455859660.0462213072792983
960.9406497936862630.1187004126274730.0593502063137367
970.9277892354035930.1444215291928140.0722107645964068
980.9101136706320.1797726587360000.0898863293680002
990.9071066109921910.1857867780156180.0928933890078088
1000.8846070787330330.2307858425339340.115392921266967
1010.8606153615192670.2787692769614660.139384638480733
1020.8358715669629590.3282568660740830.164128433037041
1030.8757964797091980.2484070405816040.124203520290802
1040.9143595963501020.1712808072997960.0856404036498978
1050.9250435429538480.1499129140923040.074956457046152
1060.9094357696655790.1811284606688430.0905642303344213
1070.9058587229002440.1882825541995120.0941412770997558
1080.9101648604873420.1796702790253170.0898351395126584
1090.9088652677780540.1822694644438920.0911347322219461
1100.901221164039380.1975576719212410.0987788359606207
1110.8860252928460510.2279494143078970.113974707153949
1120.8999150570776140.2001698858447730.100084942922386
1130.8717775715931930.2564448568136150.128222428406807
1140.8410652168344690.3178695663310620.158934783165531
1150.8028144007972280.3943711984055450.197185599202772
1160.7922881920239450.4154236159521090.207711807976055
1170.801063213911620.3978735721767580.198936786088379
1180.792850862305770.414298275388460.20714913769423
1190.7457259070626480.5085481858747030.254274092937352
1200.8158713462780110.3682573074439780.184128653721989
1210.7834726047041890.4330547905916220.216527395295811
1220.739600669094390.5207986618112190.260399330905610
1230.7317012568237270.5365974863525470.268298743176273
1240.6771872465931970.6456255068136060.322812753406803
1250.6825765944906980.6348468110186050.317423405509303
1260.6522920413468990.6954159173062020.347707958653101
1270.5889594662349450.822081067530110.411040533765055
1280.5521664216091330.8956671567817330.447833578390867
1290.4990352412599930.9980704825199870.500964758740007
1300.4449438086425620.8898876172851230.555056191357438
1310.3749814216961040.7499628433922070.625018578303896
1320.3753661108333590.7507322216667170.624633889166641
1330.375471583932360.750943167864720.62452841606764
1340.3350051002977190.6700102005954380.664994899702281
1350.2998499717172930.5996999434345850.700150028282707
1360.3010401747229900.6020803494459790.69895982527701
1370.2265019924438770.4530039848877550.773498007556123
1380.3514909112215160.7029818224430320.648509088778484
1390.618000476480680.7639990470386410.381999523519320
1400.8133173246534130.3733653506931750.186682675346587
1410.7460326293487730.5079347413024540.253967370651227
1420.719534248872320.560931502255360.28046575112768
1430.6100577640657470.7798844718685070.389942235934253


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level220.16793893129771NOK
10% type I error level440.33587786259542NOK