Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.305904887836174 + 0.094633084474476FindingFriends[t] + 0.243797535254599KnowingPeople[t] + 0.34915593440117Liked[t] + 0.627017042711136Celebrity[t] -0.00119728221808973Date[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.3059048878361741.4350880.21320.8314910.415745
FindingFriends0.0946330844744760.0963830.98180.3277590.163879
KnowingPeople0.2437975352545990.0615913.95830.0001165.8e-05
Liked0.349155934401170.0977093.57340.0004740.000237
Celebrity0.6270170427111360.1565944.00419.8e-054.9e-05
Date-0.001197282218089730.062964-0.0190.9848540.492427


Multiple Linear Regression - Regression Statistics
Multiple R0.706541857390106
R-squared0.499201396244261
Adjusted R-squared0.482508109452403
F-TEST (value)29.9043203695357
F-TEST (DF numerator)5
F-TEST (DF denominator)150
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.11251892472136
Sum Squared Residuals669.410431095885


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.36818147269921.63181852730078
21211.06479726211950.935202737880534
31513.52520608010351.47479391989646
41210.81496158175141.1850384182486
51010.6648142948774-0.664814294877374
6129.217809707041432.78219029295857
71516.73664142877-1.73664142876999
8910.4708609563698-1.47086095636979
91212.2497213653371-0.249721365337096
10117.98576290444763.01423709555239
111113.3289189299472-2.32891892994723
121112.0740509761932-1.07405097619323
131512.22223259087942.77776740912056
14711.2530805949745-4.25308059497451
151111.6372829385250-0.637282938524961
161110.9584560268790.0415439731210098
171012.0740509761932-2.07405097619323
181414.3512317703418-0.351231770341828
19108.70152857985651.29847142014350
2069.50890318127013-3.50890318127013
21118.654852063089952.34514793691005
221514.38409806117910.615901938820894
231111.6280818390056-0.628081839005588
24129.494473533133312.50552646686669
251413.39719976939470.602800230605293
261514.83762955863290.162370441367064
27914.6278955964337-5.62789559643371
281312.49700878793220.502991212067762
291313.2186589151178-0.218658915117850
301610.78573887159145.21426112840858
31138.501537096235454.49846290376455
321213.5911531079023-1.59115310790229
331414.4787311456536-0.478731145653582
341110.05685331707430.943146682925747
35910.4684663919336-1.46846639193361
361614.24347880675911.75652119324092
371212.8753266797060-0.875326679705963
38109.192613537706230.807386462293765
391313.0575718674475-0.0575718674475427
401615.21965178387140.780348216128617
411412.90840741666741.09159258333258
42158.094764884271466.90523511572854
4359.74311193128328-4.74311193128328
44810.4791917066057-2.47919170660571
451111.2456307215188-0.245630721518783
461613.78994730930522.21005269069475
471713.02350829439223.97649170560783
4898.485910165880540.514089834119459
49911.9429597542272-2.94295975422721
501314.6872678256347-1.68726782563472
511010.9580271346306-0.958027134630632
52612.4125940827328-6.41259408273276
531212.3855514908848-0.385551490884766
54810.4341883727541-2.43418837275407
551412.37482617621271.62517382378733
561212.4293575425183-0.429357542518318
571110.77632332594790.223676674052136
581614.40217128999321.59782871000679
59810.2714281421689-2.27142814216886
601515.2525180747087-0.252518074708661
6179.45801539564176-2.45801539564176
621613.98775867461432.01224132538570
631413.73694015815230.263059841847675
641613.75468645403182.24531354596821
6599.9405551571314-0.940555157131408
661412.28019309173821.71980690826181
671113.0456492705574-2.04564927055736
681310.46825194580942.53174805419057
691512.90601285223122.09398714776876
7055.59978555783491-0.59978555783491
711512.42816026030022.57183973969977
721312.27899580952010.721004190479895
731112.0459235889376-1.04592358893760
741113.9786356182437-2.97863561824366
751212.4729491480277-0.47294914802769
761213.3936079227404-1.39360792274044
771212.268270494848-0.26827049484801
781211.90046347162220.0995365283777986
791410.78214702493713.21785297506285
8067.99305006580217-1.99305006580217
8179.84003762088021-2.84003762088021
821411.98905841098322.01094158901678
831413.85884757096030.141152429039728
841011.2529786356608-1.25297863566079
85138.725425507659884.27457449234012
861212.4076924670499-0.407692467049949
8799.2896929206399-0.289692920639904
881212.0153499032228-0.0153499032227770
891615.00632597501790.993674024982118
901010.2318023246968-0.231802324696840
911413.12625768297840.873742317021613
921013.5084943543410-3.50849435434101
931615.31069302169160.68930697830841
941513.4469420068281.55305799317201
951211.34641443791720.653585562082827
96109.733481939515550.266518060484451
97810.2374723303494-2.23747233034939
9888.60814451162312-0.608144511623122
991112.8413755934610-1.84137559346105
1001312.41722049950400.582779500496046
1011615.45985747247170.540142527528288
1021614.71773955203581.28226044796418
1031415.8150515519863-1.81505155198634
104118.8841179908942.11588200910600
10546.96583560972476-2.96583560972476
1061414.5695579373496-0.56955793734961
107910.3457059202035-1.34570592020351
1081415.2489262280544-1.24892622805439
109810.4510643193501-2.45106431935008
110810.8995405077844-2.89954050778435
1111112.1926934752815-1.19269347528154
1121213.6396980631175-1.63969806311749
1131111.4408330762675-0.44083307626747
1141413.60193015659740.3980698434026
1151514.33430559845510.665694401544895
1161613.40193867297642.59806132702365
1171613.49657175745082.50342824254917
1181112.7320984147256-1.73209841472558
1191413.74036929270540.259630707294573
1201410.96199764824253.03800235175745
1211211.40578666711820.594213332881809
1221412.56420483197211.43579516802792
123810.2306050424788-2.23060504247875
1241313.8350023771799-0.835002377179903
1251613.74036929270542.25963070729457
1261210.91917443270291.08082556729709
1271615.44891771167540.551082288324562
1281213.3912133583043-1.39121335830426
1291111.5158322358234-0.515832235823396
13046.42206570808217-2.42206570808217
1311615.44891771167540.551082288324562
1321512.56518766806602.43481233193401
1331011.4780643293033-1.47806432930331
1341313.2089681705627-0.208968170562678
1351513.25277422219621.74722577780377
1361210.67439406135441.32560593864560
1371413.64573620823100.354263791769049
138710.6722139430424-3.6722139430424
1391914.08832794488854.91167205511149
1401212.6790912635727-0.679091263572652
1411212.2851464414440-0.28514644144402
1421313.4953744752327-0.495374475232739
1431512.93965225861282.06034774138719
14488.28363660463377-0.283636604633769
1451210.91699431439091.08300568560910
1461010.8028762727601-0.80287627276006
147811.4055722209940-3.40557222099401
1481014.3722271983119-4.37222719831194
1491513.88833646126751.11166353873254
1501614.60977214232891.39022785767111
1511313.1886128641229-0.188612864122853
1521615.06210635756460.937893642435368
153910.2222240669521-1.22222406695212
1541413.16048547686720.839514523132779
1551412.69524582864741.30475417135261
1561210.15409692084141.84590307915861


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.1097323263420690.2194646526841370.890267673657931
100.04783346061747790.09566692123495580.952166539382522
110.07256329705488770.1451265941097750.927436702945112
120.03790860604819140.07581721209638290.962091393951809
130.4402168488493220.8804336976986440.559783151150678
140.7602912191048020.4794175617903950.239708780895198
150.6790903837862120.6418192324275760.320909616213788
160.589628206579950.8207435868400990.410371793420050
170.5297430233366890.940513953326620.47025697666331
180.4422181255603020.8844362511206040.557781874439698
190.3606956713455170.7213913426910330.639304328654483
200.5476487928621490.9047024142757020.452351207137851
210.5089890058391230.9820219883217550.491010994160877
220.5513269796458050.897346040708390.448673020354195
230.4848080209580340.9696160419160680.515191979041966
240.4724393460955650.944878692191130.527560653904435
250.4285154894072160.8570309788144330.571484510592784
260.3650298407677910.7300596815355820.634970159232209
270.6332280842098670.7335438315802660.366771915790133
280.5763878959184730.8472242081630540.423612104081527
290.5151430663324310.9697138673351380.484856933667569
300.675753256286070.6484934874278620.324246743713931
310.7856144386220790.4287711227558420.214385561377921
320.7470040565092130.5059918869815740.252995943490787
330.6991556691883810.6016886616232390.300844330811619
340.668006570219060.663986859561880.33199342978094
350.6741277603951170.6517444792097670.325872239604883
360.6818794403440560.6362411193118890.318120559655944
370.6488953604462430.7022092791075150.351104639553757
380.599646387680870.800707224638260.40035361231913
390.5456774647669080.9086450704661850.454322535233092
400.5168993035186230.9662013929627540.483100696481377
410.476959800621120.953919601242240.52304019937888
420.7564668140056420.4870663719887160.243533185994358
430.9512084630217760.09758307395644830.0487915369782241
440.962390920518310.07521815896338140.0376090794816907
450.9511668016155970.09766639676880570.0488331983844028
460.9569971036914280.08600579261714430.0430028963085722
470.979388886253030.04122222749393950.0206111137469698
480.972757252239960.05448549552008080.0272427477600404
490.9804060113576630.0391879772846740.019593988642337
500.9772716076768810.04545678464623770.0227283923231189
510.9725246929242620.05495061415147690.0274753070757384
520.9972831623599020.005433675280195480.00271683764009774
530.9960840088038520.007831982392296630.00391599119614831
540.9966829885117850.006634022976429270.00331701148821464
550.9967068694267150.006586261146570420.00329313057328521
560.9953428405433430.009314318913314280.00465715945665714
570.9935068298823610.01298634023527720.00649317011763862
580.9929499949147360.01410001017052830.00705000508526415
590.9945024838018050.01099503239638970.00549751619819487
600.9927735691703120.01445286165937650.00722643082968827
610.9935141732017350.01297165359653050.00648582679826523
620.994323469641150.01135306071770120.00567653035885061
630.9924526977370180.01509460452596320.0075473022629816
640.9931701124782320.01365977504353660.0068298875217683
650.991321188244740.01735762351052110.00867881175526056
660.9907255015667320.01854899686653660.00927449843326828
670.990334306044440.01933138791111830.00966569395555914
680.9921381357893970.01572372842120550.00786186421060273
690.9924502821635570.01509943567288530.00754971783644266
700.9898321114738350.02033577705233090.0101678885261655
710.9915548686973490.01689026260530250.00844513130265125
720.9888733654720850.022253269055830.011126634527915
730.9860188432745340.02796231345093290.0139811567254665
740.989770688684290.02045862263142180.0102293113157109
750.98616400447990.02767199104020.0138359955201
760.9835767086890350.03284658262193080.0164232913109654
770.9782570615429190.04348587691416290.0217429384570814
780.9713884755314270.05722304893714620.0286115244685731
790.9824994858335960.03500102833280890.0175005141664045
800.981556018804750.03688796239050080.0184439811952504
810.9843825627560680.03123487448786450.0156174372439322
820.9856252078053580.02874958438928470.0143747921946423
830.9807462553530350.03850748929392930.0192537446469647
840.9760745474561430.0478509050877150.0239254525438575
850.9941302435197450.01173951296051020.00586975648025509
860.9918568108641980.01628637827160420.0081431891358021
870.98891400538420.02217198923159760.0110859946157988
880.9854914061056740.02901718778865150.0145085938943257
890.981877312644270.03624537471146090.0181226873557305
900.9760561606269330.04788767874613450.0239438393730673
910.971388476426040.05722304714791860.0286115235739593
920.9830930987920920.03381380241581660.0169069012079083
930.9781495557687490.0437008884625030.0218504442312515
940.9754471440525530.04910571189489420.0245528559474471
950.9692633660094640.06147326798107280.0307366339905364
960.9613620106903540.07727597861929160.0386379893096458
970.9577663170428260.08446736591434780.0422336829571739
980.9459512498353620.1080975003292750.0540487501646376
990.9409753311686360.1180493376627270.0590246688313636
1000.9275760952011480.1448478095977040.0724239047988522
1010.9100462302509820.1799075394980370.0899537697490184
1020.895866448766480.2082671024670410.104133551233521
1030.9017506489929080.1964987020141840.0982493510070922
1040.935921715432250.1281565691355000.0640782845677502
1050.9331265841172260.1337468317655480.066873415882774
1060.9153664254646350.1692671490707300.0846335745353651
1070.8969917378655320.2060165242689350.103008262134468
1080.8914406004548910.2171187990902180.108559399545109
1090.8872633734899420.2254732530201160.112736626510058
1100.905040622554820.1899187548903590.0949593774451794
1110.8935553062907960.2128893874184080.106444693709204
1120.9216010189367640.1567979621264720.0783989810632361
1130.8999937227507850.2000125544984300.100006277249215
1140.874653575561550.25069284887690.12534642443845
1150.8453737805769120.3092524388461760.154626219423088
1160.8474932927998290.3050134144003420.152506707200171
1170.8578164366444540.2843671267110930.142183563355546
1180.8462740961236270.3074518077527470.153725903876373
1190.809705471634230.3805890567315390.190294528365770
1200.8666100745443220.2667798509113560.133389925455678
1210.8417271809346220.3165456381307550.158272819065378
1220.8205004462972950.358999107405410.179499553702705
1230.8071592769864290.3856814460271420.192840723013571
1240.7660779865829950.4678440268340110.233922013417005
1250.7700790675493060.4598418649013870.229920932450694
1260.7566403013228390.4867193973543220.243359698677161
1270.7042207694195210.5915584611609580.295779230580479
1280.6722192358585870.6555615282828270.327780764141413
1290.6784505578145050.643098884370990.321549442185495
1300.670834675243280.6583306495134390.329165324756719
1310.6112189101353290.7775621797293410.388781089864671
1320.5966224540262470.8067550919475050.403377545973753
1330.5696212234316520.8607575531366960.430378776568348
1340.4948391983063560.9896783966127120.505160801693644
1350.4660444206766280.9320888413532550.533955579323372
1360.4625990109927220.9251980219854450.537400989007278
1370.3869269689138450.773853937827690.613073031086155
1380.4475486005800400.8950972011600810.55245139941996
1390.8020358211947480.3959283576105030.197964178805251
1400.8274186807669610.3451626384660780.172581319233039
1410.7905529607395020.4188940785209950.209447039260498
1420.7112983837208510.5774032325582970.288701616279149
1430.6572941897015650.685411620596870.342705810298435
1440.5450682873593230.9098634252813540.454931712640677
1450.5368457204685420.9263085590629170.463154279531458
1460.6693256941842390.6613486116315220.330674305815761
1470.5716048637825270.8567902724349470.428395136217473


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level50.0359712230215827NOK
5% type I error level440.316546762589928NOK
10% type I error level570.410071942446043NOK