Multiple Linear Regression - Estimated Regression Equation
Future[t] = + 2.88086949626936 + 0.192484920465587Popular[t] + 0.00370138668767256`Friends(s)`[t] + 0.0391435615499212`Friends(f)`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.880869496269360.24977911.533700
Popular0.1924849204655870.0927652.0750.0397080.019854
`Friends(s)`0.003701386687672560.091270.04060.9677060.483853
`Friends(f)`0.03914356154992120.0943580.41480.6788560.339428


Multiple Linear Regression - Regression Statistics
Multiple R0.242865244796705
R-squared0.0589835271301634
Adjusted R-squared0.0400368867368109
F-TEST (value)3.11313910569909
F-TEST (DF numerator)3
F-TEST (DF denominator)149
p-value0.0281363255655216
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.683086713038985
Sum Squared Residuals69.5245111720302


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
143.586859102378990.41314089762101
243.586859102378910.413140897621087
333.78304540953217-0.783045409532169
443.586859102378910.41314089762109
533.54401415414132-0.544014154141317
643.547715540828990.452284459171011
743.62970405061650.370295949383496
843.351529233675730.64847076632427
943.586859102378910.413140897621090
1023.55141692751666-1.55141692751666
1123.62600266392883-1.62600266392883
1243.586859102378910.413140897621090
1343.590560489066580.409439510933417
1443.351529233675730.64847076632427
1543.583157715691240.416842284308762
1633.54771554082899-0.547715540828989
1743.390672795225650.609327204774349
1843.590560489066580.409439510933417
1933.35152923367573-0.351529233675730
2023.19448648807239-1.19448648807239
2123.3552306203634-1.35523062036340
2243.590560489066580.409439510933417
2333.58315771569124-0.583157715691238
2443.547715540828990.452284459171011
2543.586859102378910.413140897621090
2633.59056048906658-0.590560489066583
2733.43351774346324-0.433517743463244
2823.58685910237891-1.58685910237891
2933.59056048906658-0.590560489066583
3043.743901847982250.256098152017751
3133.55141692751666-0.551416927516662
3233.62600266392883-0.626002663928832
3343.62970405061650.370295949383496
3443.390672795225650.609327204774349
3533.6297040506165-0.629704050616504
3643.586859102378910.413140897621090
3723.54401415414132-1.54401415414132
3833.59056048906658-0.590560489066583
3943.822188971082090.177811028917909
4043.590560489066580.409439510933417
4133.59056048906658-0.590560489066583
4253.159044313210141.84095568678986
4333.35152923367573-0.351529233675730
4433.58685910237891-0.58685910237891
4543.822188971082090.177811028917909
4643.825890357769760.174109642230236
4753.351529233675731.64847076632427
4833.20188926144774-0.201889261447736
4943.586859102378910.413140897621090
5043.583157715691240.416842284308762
5123.15904431321014-1.15904431321014
5243.626002663928830.373997336071168
5343.390672795225650.609327204774349
5443.62970405061650.370295949383496
5533.58685910237891-0.58685910237891
5633.39437418191332-0.394374181913323
5733.82218897108209-0.822188971082091
5823.11619936497255-1.11619936497255
5943.62970405061650.370295949383496
6043.351529233675730.64847076632427
6143.783045409532170.21695459046783
6233.59056048906658-0.590560489066583
6343.783045409532170.21695459046783
6433.58315771569124-0.583157715691238
6543.62970405061650.370295949383496
6643.544014154141320.455985845858683
6743.551416927516660.448583072483338
6843.62970405061650.370295949383496
6943.116199364972550.883800635027451
7043.62970405061650.370295949383496
7143.62970405061650.370295949383496
7243.586859102378910.413140897621090
7323.3552306203634-1.35523062036340
7433.58685910237891-0.58685910237891
7543.586859102378910.413140897621090
7643.586859102378910.413140897621090
7733.39437418191332-0.394374181913323
7843.62970405061650.370295949383496
7943.347827846988060.652172153011943
8043.394374181913320.605625818086677
8133.59056048906658-0.590560489066583
8233.58685910237891-0.58685910237891
8333.3552306203634-0.355230620363402
8433.35893200705107-0.358932007051075
8543.586859102378910.413140897621090
8643.351529233675730.64847076632427
8723.58685910237891-1.58685910237891
8843.783045409532170.21695459046783
8933.39437418191332-0.394374181913323
9043.590560489066580.409439510933417
9133.43351774346324-0.433517743463244
9243.822188971082090.177811028917909
9333.6297040506165-0.629704050616504
9433.58685910237891-0.58685910237891
9543.544014154141320.455985845858683
9633.57945632900357-0.579456329003566
9743.351529233675730.64847076632427
9823.58315771569124-1.58315771569124
9943.77934402284450.220655977155502
10043.822188971082090.177811028917909
10143.783045409532170.21695459046783
10243.586859102378910.413140897621090
10343.547715540828990.452284459171011
10433.11619936497255-0.116199364972549
10543.77934402284450.220655977155502
10633.20188926144774-0.201889261447736
10743.62970405061650.370295949383496
10833.35152923367573-0.351529233675730
10933.58685910237891-0.58685910237891
11023.62600266392883-1.62600266392883
11143.394374181913320.605625818086677
11243.62970405061650.370295949383496
11343.62970405061650.370295949383496
11413.78304540953217-2.78304540953217
11543.783045409532170.21695459046783
11643.583157715691240.416842284308762
11743.586859102378910.413140897621090
11833.59056048906658-0.590560489066583
11943.586859102378910.413140897621090
12043.590560489066580.409439510933417
12133.19818787476006-0.198187874760064
12243.437219130150920.562780869849083
12343.783045409532170.21695459046783
12443.547715540828990.452284459171011
12543.822188971082090.177811028917909
12643.586859102378910.413140897621090
12733.39437418191332-0.394374181913323
12833.11619936497255-0.116199364972549
12943.822188971082090.177811028917909
13043.590560489066580.409439510933417
13143.544014154141320.455985845858683
13243.547715540828990.452284459171011
13343.822188971082090.177811028917909
13443.586859102378910.413140897621090
13543.62970405061650.370295949383496
13643.159044313210140.840955686789858
13743.825890357769760.174109642230236
13833.43351774346324-0.433517743463244
13933.39807556860100-0.398075568600996
14043.586859102378910.413140897621090
14143.590560489066580.409439510933417
14223.35152923367573-1.35152923367573
14343.586859102378910.413140897621090
14443.586859102378910.413140897621090
14543.390672795225650.609327204774349
14643.62970405061650.370295949383496
14743.783045409532170.21695459046783
14843.77934402284450.220655977155502
14943.822188971082090.177811028917909
15043.351529233675730.64847076632427
15143.590560489066580.409439510933417
15243.62970405061650.370295949383496
15343.547715540828990.452284459171011


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.1103889160396810.2207778320793620.889611083960319
80.0980144757722350.196028951544470.901985524227765
90.05134181931934450.1026836386386890.948658180680656
100.2461118165342230.4922236330684460.753888183465777
110.9310090335970790.1379819328058420.0689909664029208
120.9068364718037770.1863270563924460.0931635281962229
130.8869124960275570.2261750079448860.113087503972443
140.8408330473700370.3183339052599260.159166952629963
150.7927544455585270.4144911088829450.207245554441473
160.7497364639958950.500527072008210.250263536004105
170.6892278940083290.6215442119833430.310772105991671
180.6531796859958440.6936406280083120.346820314004156
190.6723236603871140.6553526792257710.327676339612886
200.8784562230104780.2430875539790440.121543776989522
210.92249418626060.15501162747880.0775058137394
220.9104388726007530.1791222547984930.0895611273992466
230.9029984429706060.1940031140587880.0970015570293938
240.8875369980729630.2249260038540740.112463001927037
250.865190326678360.2696193466432820.134809673321641
260.8471760141626380.3056479716747240.152823985837362
270.8124412085049490.3751175829901020.187558791495051
280.9222810703558260.1554378592883490.0777189296441745
290.9075971399047160.1848057201905690.0924028600952843
300.8831786046108360.2336427907783270.116821395389164
310.8630275325476630.2739449349046740.136972467452337
320.8464484135987890.3071031728024220.153551586401211
330.8344914372222360.3310171255555290.165508562777764
340.8369715702827010.3260568594345980.163028429717299
350.817136112101890.365727775796220.18286388789811
360.796018265108740.4079634697825200.203981734891260
370.9063754809671850.1872490380656300.0936245190328148
380.8937497978573530.2125004042852940.106250202142647
390.8697959758348490.2604080483303030.130204024165151
400.8562631732001150.2874736535997690.143736826799885
410.8409936539244950.318012692151010.159006346075505
420.9597704993731730.0804590012536540.040229500626827
430.9508158120267480.09836837594650350.0491841879732517
440.94397941591490.1120411681701980.056020584085099
450.9334262175179770.1331475649640460.0665737824820232
460.9189889956831360.1620220086337290.0810110043168643
470.9741343198014560.05173136039708740.0258656801985437
480.9677781007961580.06444379840768330.0322218992038417
490.9623381940166320.07532361196673580.0376618059833679
500.9561108093754450.08777838124911060.0438891906245553
510.9735079491839630.05298410163207410.0264920508160371
520.9680536223545830.06389275529083290.0319463776454165
530.965862618596070.06827476280785840.0341373814039292
540.9592175028082560.08156499438348770.0407824971917439
550.9553419694574230.08931606108515450.0446580305425772
560.946630334742870.1067393305142600.0533696652571301
570.9497633428488680.1004733143022640.0502366571511322
580.9663649192348240.0672701615303510.0336350807651755
590.9596558775414950.08068824491701040.0403441224585052
600.9589345177841080.0821309644317830.0410654822158915
610.9491378884926420.1017242230147160.0508621115073578
620.9453972120334070.1092055759331850.0546027879665926
630.9330405986080210.1339188027839570.0669594013919787
640.9279162075274870.1441675849450260.0720837924725129
650.9157627503000830.1684744993998330.0842372496999166
660.9055969578923970.1888060842152050.0944030421076025
670.8943544767239480.2112910465521040.105645523276052
680.8783430059339350.243313988132130.121656994066065
690.8923047357876250.2153905284247500.107695264212375
700.8761064328132870.2477871343734250.123893567186713
710.858131939431820.283736121136360.14186806056818
720.8405432511993030.3189134976013950.159456748800697
730.9111990931413110.1776018137173780.088800906858689
740.906057781918320.1878844361633620.0939422180816808
750.8927093318136450.2145813363727090.107290668186355
760.8780003210120240.2439993579759530.121999678987976
770.8613720155353370.2772559689293260.138627984464663
780.8422547950455940.3154904099088130.157745204954406
790.8404621219681250.319075756063750.159537878031875
800.8341271868091140.3317456263817710.165872813190885
810.8299675649972770.3400648700054460.170032435002723
820.8220493150142290.3559013699715430.177950684985771
830.8032053281435340.3935893437129320.196794671856466
840.7956530414969690.4086939170060620.204346958503031
850.7733651554470750.4532696891058510.226634844552925
860.7675644233778780.4648711532442450.232435576622122
870.8988471028351460.2023057943297080.101152897164854
880.8780380178461640.2439239643076730.121961982153836
890.8629858484449130.2740283031101750.137014151555087
900.8422059222808380.3155881554383230.157794077719162
910.8213918952736290.3572162094527420.178608104726371
920.7904263494680030.4191473010639940.209573650531997
930.7883140435306070.4233719129387850.211685956469393
940.7819635635368670.4360728729262670.218036436463133
950.7607697722992850.478460455401430.239230227700715
960.7391875813030340.5216248373939330.260812418696966
970.731955619471740.5360887610565210.268044380528260
980.876991584486670.2460168310266610.123008415513331
990.8517236667551970.2965526664896070.148276333244803
1000.822191513043110.3556169739137790.177808486956890
1010.7895578421445840.4208843157108320.210442157855416
1020.7623716525244180.4752566949511640.237628347475582
1030.7348355226554820.5303289546890370.265164477344518
1040.6945031554134310.6109936891731370.305496844586569
1050.651213089887240.697573820225520.34878691011276
1060.6137880603767040.7724238792465930.386211939623296
1070.5739649036594890.8520701926810220.426035096340511
1080.544337379040340.911325241919320.45566262095966
1090.5399557104801630.9200885790396740.460044289519837
1100.8107803240095160.3784393519809680.189219675990484
1110.7929053501865450.4141892996269100.207094649813455
1120.7582451836545040.4835096326909910.241754816345496
1130.7204284311305740.5591431377388530.279571568869426
1140.9999234172194780.0001531655610451067.6582780522553e-05
1150.9998651221060470.0002697557879060660.000134877893953033
1160.9997707705401830.000458458919633360.00022922945981668
1170.9996240999324150.0007518001351705360.000375900067585268
1180.99982320516080.0003535896783994590.000176794839199730
1190.999703282915290.0005934341694188240.000296717084709412
1200.9994964130924020.001007173815195910.000503586907597957
1210.999185597158390.001628805683218300.000814402841609149
1220.9990986307625450.001802738474910660.000901369237455328
1230.9984966401549910.003006719690017820.00150335984500891
1240.9975330153695520.00493396926089570.00246698463044785
1250.9959256316107360.008148736778528610.00407436838926431
1260.9936006570636790.01279868587264300.00639934293632149
1270.992934316442190.01413136711561990.00706568355780997
1280.9900209920735130.01995801585297350.00997900792648677
1290.9840162368436060.03196752631278770.0159837631563938
1300.9758088663855320.04838226722893540.0241911336144677
1310.9634135941483030.07317281170339460.0365864058516973
1320.9464717705356980.1070564589286040.0535282294643020
1330.9215779377269370.1568441245461260.0784220622730629
1340.8899386281081070.2201227437837860.110061371891893
1350.8498828757347640.3002342485304720.150117124265236
1360.8968964850937080.2062070298125830.103103514906292
1370.855675226955280.2886495460894390.144324773044720
1380.844642198334610.3107156033307820.155357801665391
1390.8274145135764260.3451709728471470.172585486423574
1400.7596032897252470.4807934205495060.240396710274753
1410.6713859249669540.6572281500660930.328614075033046
14212.55644938728601e-1031.27822469364301e-103
143100
144100
14511.58668748111154e-597.93343740555772e-60
146100


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level170.121428571428571NOK
5% type I error level220.157142857142857NOK
10% type I error level370.264285714285714NOK