Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 7.13071247390499 -0.501068230469585FindingFriends[t] + 0.0144399681786234KnowingPeople[t] + 0.0195920449423157friends_knowning[t] + 0.453370355865953Liked[t] -0.0119296940515746friends_liked[t] -1.04257015127670Celebrity[t] + 0.146732923963822friends_celeb[t] + 1.14069077304853Sum[t] -0.0845908632946572friends_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)7.130712473904995.6180271.26930.206370.103185
FindingFriends-0.5010682304695850.493294-1.01580.3114250.155712
KnowingPeople0.01443996817862340.399690.03610.971230.485615
friends_knowning0.01959204494231570.0357770.54760.5847940.292397
Liked0.4533703558659530.5020720.9030.3680140.184007
friends_liked-0.01192969405157460.047077-0.25340.8003080.400154
Celebrity-1.042570151276701.209949-0.86170.3902850.195143
friends_celeb0.1467329239638220.1071871.36890.1731210.086561
Sum1.140690773048530.8414241.35570.1772980.088649
friends_sum-0.08459086329465720.075323-1.1230.2632630.131631


Multiple Linear Regression - Regression Statistics
Multiple R0.722001202058945
R-squared0.521285735774561
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
11310.93932622453882.06067377546121
21210.86375721733151.13624278266855
31512.53808435620292.46191564379707
41210.91479031769241.08520968230764
51010.9065837761927-0.906583776192673
6128.867548810019663.13245118998034
71517.3348198468565-2.33481984685653
8910.2737377490074-1.27373774900741
91212.3298145937458-0.329814593745768
10117.703695812116043.29630418788396
111112.2356569872936-1.23565698729358
121112.1460020623454-1.14600206234543
131512.54000744258592.45999255741406
14710.9327752831474-3.93277528314742
151111.8860311300231-0.886031130023053
161110.77282676398020.227173236019762
171012.1460020623454-2.14600206234543
181414.2820743220530-0.282074322053038
19108.624081994344571.37591800565543
2069.54277687401176-3.54277687401176
21119.769315766106761.23068423389324
221514.30147015053560.698529849464355
231111.9879112587432-0.987911258743211
24129.40116013257442.59883986742559
251413.32879370602550.671206293974508
261514.53178797033390.468212029666071
27914.3212313362724-5.32123133627244
281313.0420161354698-0.04201613546983
291312.56280214171560.437197858284439
301610.70694713531465.29305286468536
31139.058883606576973.94111639342303
321213.2656904540232-1.26569045402323
331414.7947034298603-0.794703429860286
341110.59780439189720.402195608102839
35910.3993381625201-1.39933816252006
361614.40007434010581.59992565989420
371212.9527000501128-0.952700050112836
381010.2816921026549-0.281692102654904
391312.87549941880570.124500581194257
401615.50390135053710.496098649462928
411413.08090551807800.919094481922042
42158.594425962985346.40557403701466
4358.72145244464664-3.72145244464664
44810.2803705458728-2.28037054587275
451111.1736409222425-0.173640922242532
461613.74937396669292.25062603330708
471714.32744252797422.67255747202575
4898.293707264202540.706292735797464
49911.4237199277776-2.42371992777761
501314.6345807087657-1.63458070876572
511010.9589490446740-0.958949044674015
52612.0949341895663-6.0949341895663
531212.1721492745242-0.172149274524156
54810.2711326945549-2.27113269455494
551412.31808629218001.68191370781998
561212.9345812369023-0.934581236902313
571110.93320684879770.0667931512023159
581614.39509111263131.60490888736871
59810.5242002387326-2.52420023873258
601514.47234079498320.52765920501683
6178.99149290399343-1.99149290399343
621614.26535348129691.73464651870310
631412.44526478281271.55473521718729
641613.30959558459572.69040441540429
65910.8253687840318-1.82536878403182
661412.23708016827621.76291983172384
671113.3953809193164-2.39538091931637
681310.30399868259802.69600131740202
691513.20650593159061.79349406840940
7054.638663774814780.361336225185218
711512.93458123690232.06541876309769
721312.48828099530140.511719004698555
731112.3566762937614-1.35667629376135
741114.0222084053630-3.02220840536303
751212.7149926705601-0.714992670560117
761213.5799945330508-1.57999453305078
771212.4119671620672-0.411967162067232
781212.0489431376081-0.0489431376080512
791410.5813467218023.41865327819800
8067.58956533899704-1.58956533899704
8179.58577374630882-2.58577374630882
821412.61440080302861.38559919697143
831414.0323606737721-0.0323606737721461
841011.1562354690427-1.15623546904270
85138.619660622072134.38033937792787
861212.6976423672448-0.697642367244768
8799.3863694549946-0.386369454994597
881211.85851047603710.141489523962873
891614.66277088605371.33722911394632
901010.4708006369433-0.470800636943259
911412.92212073252531.07787926747475
921013.5000256756662-3.50002567566621
931615.60400647208020.395993527919832
941513.26165220086531.73834779913472
951211.50219757435680.497802425643212
96109.399503813035530.600496186964467
9789.49370108808755-1.49370108808755
9888.16051735795122-0.160517357951225
991112.4720212055406-1.47202120554064
1001312.58181650310510.418183496894866
1011615.52366253627390.476337463726132
1021615.04424793734670.955752062653301
1031416.2050902994530-2.20509029945303
104119.37862820205921.62137179794081
10547.74128845004528-3.74128845004528
1061415.1234318658932-1.12343186589319
107910.9355728477718-1.93557284777184
1081415.1029146254051-1.10291462540508
109810.4697215653163-2.46972156531635
110811.0222268640315-3.02222686403148
1111111.7399605772429-0.739960577242933
1121211.72595454052750.274045459472457
1131111.2068372326216-0.20683723262155
1141413.45013274554680.549867254453217
1151514.48022802862190.519771971378125
1161613.40783441691172.59216558308832
1171613.26386281227352.73613718772651
1181112.6382246488744-1.63822464887442
1191414.1414093873231-0.141409387323128
1201410.95046674776823.04953325223175
1211211.39491113801320.60508886198677
1221412.65195988707731.34804011292273
123810.8911831905579-2.89118319055786
1241314.1836397913579-1.18363979135789
1251614.01580897381051.98419102618952
1261210.54928181609301.45071818390696
1271615.69754197988390.302458020116144
1281213.2031932925128-1.20319329251285
1291111.4293830912187-0.429383091218686
13046.10612877200011-2.10612877200011
1311616.0743432204218-0.0743432204217903
1321512.62578577052492.37421422947515
1331011.0761743627835-1.07617436278347
1341313.4873970152744-0.487397015274438
1351513.26551913181241.73448086818763
1361210.39507678852871.60492321147130
1371413.63778687945580.362213120544226
138710.3648158549381-3.36481585493814
1391914.07482217403234.92517782596775
1401213.0450278327524-1.04502783275237
1411211.98222904243600.017770957564037
1421313.5150636392988-0.515063639298782
1431512.44784099418932.55215900581071
14489.40102189128404-1.40102189128404
1451210.77022170952781.22977829047224
1461010.8018247307924-0.80182473079244
147811.1739712445785-3.17397124457851
1481014.7937263715450-4.79372637154504
1491513.86773934199991.13226065800013
1501614.51143769712601.48856230287396
1511313.1972777828502-0.197277782850188
1521615.22886155108110.771138448918888
15399.84022680652135-0.840226806521354
1541412.79357522105661.20642477894339
1551413.18392952792900.816070472070984
1561210.22181770317071.77818229682926


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.7898567546380460.4202864907239070.210143245361953
140.7942902572015040.4114194855969920.205709742798496
150.7202810796803460.5594378406393080.279718920319654
160.6523604345969220.6952791308061560.347639565403078
170.5596470212249760.8807059575500480.440352978775024
180.4616115289743340.9232230579486680.538388471025666
190.3668002944528070.7336005889056150.633199705547193
200.78748591030770.4250281793846010.212514089692301
210.7466492526422190.5067014947155630.253350747357781
220.7155048730724590.5689902538550820.284495126927541
230.6495913161694570.7008173676610860.350408683830543
240.6776320019475830.6447359961048330.322367998052417
250.612063670996890.7758726580062220.387936329003111
260.5424017602106310.9151964795787380.457598239789369
270.7794511569164080.4410976861671840.220548843083592
280.7229350643796290.5541298712407420.277064935620371
290.6736303987855840.6527392024288330.326369601214416
300.820414569955330.3591708600893390.179585430044670
310.863602288904170.2727954221916600.136397711095830
320.8295368824971780.3409262350056430.170463117502821
330.7938871419278080.4122257161443830.206112858072192
340.748011208619610.5039775827607810.251988791380391
350.7267026399417640.5465947201164720.273297360058236
360.7295595217307140.5408809565385720.270440478269286
370.6969631452702830.6060737094594350.303036854729717
380.7141915196329030.5716169607341940.285808480367097
390.6703875633683320.6592248732633350.329612436631668
400.6315972753847310.7368054492305390.368402724615269
410.5998466211228150.800306757754370.400153378877185
420.8589058849516620.2821882300966760.141094115048338
430.9440001586580840.1119996826838310.0559998413419157
440.9491198464297450.1017603071405110.0508801535702555
450.9338427767558450.1323144464883090.0661572232441546
460.939947278879070.1201054422418600.0600527211209302
470.9347969007239570.1304061985520870.0652030992760433
480.9207704035557920.1584591928884150.0792295964442076
490.9190128067438670.1619743865122670.0809871932561333
500.9059598217031280.1880803565937430.0940401782968716
510.8948115087000920.2103769825998160.105188491299908
520.9781574702131620.04368505957367680.0218425297868384
530.9711648381510990.0576703236978020.028835161848901
540.976673377976080.04665324404783820.0233266220239191
550.9785811898977020.04283762020459610.0214188101022980
560.9738781980005930.05224360399881480.0261218019994074
570.9658585222950670.06828295540986620.0341414777049331
580.9594751766150940.08104964676981170.0405248233849058
590.9722119773976140.05557604520477270.0277880226023863
600.9669889602787060.06602207944258880.0330110397212944
610.9664756164496830.06704876710063310.0335243835503165
620.9637195857009560.07256082859808860.0362804142990443
630.975166711134010.0496665777319810.0248332888659905
640.979524992909630.04095001418074130.0204750070903706
650.9799913370157180.04001732596856350.0200086629842817
660.9780335338043730.04393293239125350.0219664661956268
670.9810279010737370.03794419785252670.0189720989262633
680.9846393529409020.03072129411819550.0153606470590977
690.9832587411856710.03348251762865860.0167412588143293
700.9784648100384530.04307037992309340.0215351899615467
710.978438755695840.0431224886083180.021561244304159
720.9717362325257350.05652753494853010.0282637674742651
730.967229320697420.06554135860515780.0327706793025789
740.9831713469439960.03365730611200820.0168286530560041
750.9786314960716220.04273700785675510.0213685039283776
760.976356828459680.04728634308063910.0236431715403196
770.9693359646131150.06132807077376940.0306640353868847
780.9599077610062030.0801844779875930.0400922389937965
790.9748721372236590.05025572555268250.0251278627763412
800.9735242855972290.05295142880554290.0264757144027715
810.9797943457412670.04041130851746530.0202056542587327
820.979387216776990.04122556644601850.0206127832230093
830.9726502437570040.05469951248599160.0273497562429958
840.9671765957549930.06564680849001350.0328234042450067
850.9897074137121950.02058517257561050.0102925862878052
860.986493814682750.02701237063449950.0135061853172497
870.9818999273584570.03620014528308630.0181000726415431
880.9757554052950730.04848918940985360.0242445947049268
890.9703204393328260.05935912133434820.0296795606671741
900.9616352920621860.07672941587562890.0383647079378144
910.953494781228670.09301043754265840.0465052187713292
920.9774566890846160.04508662183076770.0225433109153838
930.9699903255022870.06001934899542560.0300096744977128
940.9644198627730510.07116027445389710.0355801372269485
950.9537786927207020.09244261455859540.0462213072792977
960.9406497936862640.1187004126274710.0593502063137357
970.9277892354035960.1444215291928070.0722107645964036
980.9101136706320.1797726587359990.0898863293679996
990.9071066109921920.1857867780156170.0928933890078084
1000.8846070787330350.230785842533930.115392921266965
1010.8606153615192670.2787692769614660.139384638480733
1020.835871566962960.328256866074080.16412843303704
1030.8757964797092010.2484070405815980.124203520290799
1040.9143595963501020.1712808072997970.0856404036498984
1050.9250435429538490.1499129140923020.0749564570461511
1060.9094357696655770.1811284606688450.0905642303344224
1070.9058587229002430.1882825541995130.0941412770997566
1080.9101648604873390.1796702790253220.089835139512661
1090.9088652677780520.1822694644438950.0911347322219477
1100.9012211640393770.1975576719212460.0987788359606229
1110.8860252928460510.2279494143078980.113974707153949
1120.8999150570776160.2001698858447680.100084942922384
1130.8717775715931920.2564448568136170.128222428406808
1140.8410652168344670.3178695663310670.158934783165533
1150.8028144007972310.3943711984055380.197185599202769
1160.7922881920239450.4154236159521110.207711807976055
1170.8010632139116210.3978735721767570.198936786088379
1180.7928508623057720.4142982753884560.207149137694228
1190.7457259070626520.5085481858746960.254274092937348
1200.815871346278010.3682573074439790.184128653721989
1210.783472604704190.4330547905916220.216527395295811
1220.7396006690943880.5207986618112240.260399330905612
1230.7317012568237240.5365974863525530.268298743176276
1240.6771872465931990.6456255068136030.322812753406801
1250.6825765944907030.6348468110185940.317423405509297
1260.65229204134690.69541591730620.3477079586531
1270.5889594662349450.822081067530110.411040533765055
1280.5521664216091310.8956671567817380.447833578390869
1290.499035241259990.998070482519980.50096475874001
1300.444943808642560.889887617285120.55505619135744
1310.3749814216961040.7499628433922080.625018578303896
1320.3753661108333560.7507322216667120.624633889166644
1330.375471583932360.750943167864720.62452841606764
1340.3350051002977210.6700102005954430.664994899702279
1350.2998499717172930.5996999434345860.700150028282707
1360.3010401747229910.6020803494459820.698959825277009
1370.2265019924438760.4530039848877520.773498007556124
1380.3514909112215090.7029818224430190.64850908877849
1390.6180004764806840.7639990470386320.381999523519316
1400.8133173246534120.3733653506931750.186682675346588
1410.746032629348770.5079347413024590.253967370651229
1420.7195342488723190.5609315022553630.280465751127681
1430.6100577640657470.7798844718685060.389942235934253


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