Multiple Linear Regression - Estimated Regression Equation
NotPopular[t] = + 2.98670740628656 -0.0111064541653232Popularity[t] + 0.496005575693039FindingFriends[t] + 0.560172927756955KnowingPeople[t] -0.80285171304812Liked[t] + 0.137898841611536Celebrity[t] -0.293925773283954WeightedSum[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.986707406286561.6454631.81510.0715170.035759
Popularity-0.01110645416532320.118792-0.09350.9256360.462818
FindingFriends0.4960055756930390.0762396.505900
KnowingPeople0.5601729277569550.0905296.187800
Liked-0.802851713048120.071574-11.217100
Celebrity0.1378988416115360.0782461.76240.0800560.040028
WeightedSum-0.2939257732839540.141543-2.07660.0395580.019779


Multiple Linear Regression - Regression Statistics
Multiple R0.84624116396135
R-squared0.716124107582662
Adjusted R-squared0.704692863592702
F-TEST (value)62.6462096523909
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.65918914845553
Sum Squared Residuals1053.62175216228


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
125.63981236353336-3.63981236353336
232.657524905255030.342475094744966
332.484007124719860.515992875280144
430.3743827119428082.62561728805719
534.11985017052585-1.11985017052585
633.21225755389104-0.212257553891044
723.1192551802499-1.11925518024990
835.83916763550658-2.83916763550658
932.432479957581530.567520042418473
1042.527537380181021.47246261981898
1132.425171333620240.574828666379757
1234.40812337749902-1.40812337749902
1327.33350949536604-5.33350949536604
1435.72893559008028-2.72893559008028
1533.53229419794498-0.532294197944976
1637.52515212925775-4.52515212925775
1734.7131556049483-1.7131556049483
1832.61415752486140.3858424751386
1924.69706732071663-2.69706732071663
2042.272113264023451.72788673597655
2130.2067451797496892.79325482025031
2222.98362869759878-0.983628697598777
2337.0327625507506-4.03276255075059
2432.683379242130920.316620757869077
2526.69442133283461-4.69442133283461
2624.3112484727779-2.31124847277790
2744.19829189691558-0.198291896915585
2821.163101588823490.836898411176508
2934.1484121923997-1.14841219239970
3020.7905712140822261.20942878591777
3145.23684125004874-1.23684125004874
3234.4205716837819-1.4205716837819
3323.19681495417318-1.19681495417318
3430.252784441752722.74721555824728
3535.25131608893867-2.25131608893867
3613.07319193748396-2.07319193748396
3731.428288856432391.57171114356761
3832.235413694177150.76458630582285
3935.35542351026599-2.35542351026599
4022.40823906604738-0.408239066047379
4135.28014970403675-2.28014970403675
42158.064191921860816.93580807813919
43510.3396686249889-5.33966862498889
44810.8671796532721-2.8671796532721
45118.563390849073742.43660915092626
461611.91250823645094.08749176354913
471715.31948777354151.68051222645849
4895.890417524692273.10958247530773
49911.4967412678164-2.49674126781636
501314.6049937798081-1.60499377980813
51107.312386732241422.68761326775858
52611.4793417694378-5.47934176943782
531211.73375387806320.266246121936845
54810.4242349754777-2.42423497547765
551411.67660816189482.3233918381052
561213.1419904471384-1.14199044713835
571112.0374306446612-1.03743064466125
581614.75808389385481.24191610614525
59814.9989230023693-6.9989230023693
601511.10869716469713.89130283530288
61710.5471430092182-3.54714300921817
621614.31204097396341.68795902603657
631413.90376624841630.096233751583721
641612.65021962999583.34978037000419
6598.792012753840150.207987246159846
661412.51510766572931.48489233427067
671112.8335883843680-1.83358838436802
68138.85913053226354.1408694677365
691511.69412786262033.30587213737967
7056.24994206653401-1.24994206653401
711513.43591622042231.56408377957769
721312.63487841728000.365121582720013
731112.6640993527726-1.66409935277256
741114.7913896476171-3.79138964761709
751211.37636212693040.623637873069637
761212.7042671040673-0.704267104067294
771212.3019350178886-0.301935017888561
781212.5776615724515-0.577661572451516
791411.10417865478532.89582134521474
8069.62365562138995-3.62365562138995
8179.52408340370008-2.52408340370008
821412.34004057286941.65995942713063
831413.38575310005650.614246899943477
841010.8472376533054-0.847237653305417
851310.00629008335892.99370991664108
861210.64497099506591.3550290049341
8799.03062032959518-0.0306203295951838
881212.4413050475216-0.441305047521602
891611.16428695545024.83571304454977
901010.9227694440252-0.922769444025204
911411.48403984814282.5159601518572
921013.1376340356444-3.13763403564441
931614.50976436487861.49023563512143
941513.49828327131411.50171672868595
951210.97403004075161.02596995924837
96108.890192595129141.10980740487086
9786.320318060928861.67968193907114
9889.60917933190357-1.60917933190357
991114.0379860719860-3.03798607198605
1001310.87627173296762.12372826703244
1011615.01687639473690.983123605263068
1021613.15966008814462.84033991185538
1031415.7854357778498-1.78543577784982
104119.17343132320941.82656867679060
10548.81943483875701-4.81943483875701
1061410.26982003855053.73017996144948
107913.1510128487701-4.15101284877014
1081411.93609021436632.06390978563366
109812.3696590611040-4.36965906110396
110811.9582198358997-3.95821983589969
1111112.1877914012893-1.18779140128929
1121211.53214468284590.467855317154133
113117.908829448853773.09117055114623
1141412.57493221503291.42506778496706
1151512.66364090371802.33635909628205
1161613.34926436680362.65073563319644
1171612.23496717974603.76503282025405
1181111.3626995624433-0.362699562443263
1191413.97206232994280.0279376700571903
1201412.27288732949281.72711267050722
1211212.8219538030844-0.821953803084415
1221412.74643562109831.25356437890174
123811.1985671272483-3.19856712724827
1241313.6851581925544-0.685158192554415
1251613.54023771504732.45976228495268
126129.069774287249762.93022571275024
1271612.42097572716043.57902427283958
1281211.87687405439810.123125945601918
1291110.90593929488900.0940607051109729
13044.31532253938963-0.315322539389629
1311613.68019339172512.31980660827488
1321511.08945798954203.91054201045803
1331012.5547064637049-2.55470646370489
1341312.10528188586680.894718114133203
1351511.99663119721513.0033688027849
1361210.78234170955921.21765829044084
1371412.98162071270561.01837928729438
138713.7347931858019-6.73479318580192
1391913.98063989125365.01936010874637
1401213.7132698290606-1.71326982906063
1411214.6973118084712-2.69731180847124
1421312.64866370458060.351336295419442
1431514.37316491478820.62683508521181
14488.48254043217644-0.482540432176445
1451211.55414496847530.445855031524733
146106.391578177548453.60842182245155
147810.7694077367544-2.7694077367544
1481014.6368147368153-4.63681473681533
1491514.20337667657810.796623323421898
150169.903499756736646.09650024326336
1511310.71843089138932.28156910861066
1521613.85773185751312.14226814248689
15399.95747755274446-0.957477552744455
1541412.08301145760971.91698854239033
1551412.21079042122881.78920957877123
1561214.6589579670823-2.65895796708231


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.0004293881229472940.0008587762458945880.999570611877053
110.0007305274672893610.001461054934578720.99926947253271
120.0001385576203380370.0002771152406760750.999861442379662
131.79910848727217e-053.59821697454433e-050.999982008915127
142.12852836940137e-064.25705673880274e-060.99999787147163
152.25805436844015e-074.51610873688031e-070.999999774194563
165.01683168676068e-081.00336633735214e-070.999999949831683
175.51575124385806e-091.10315024877161e-080.999999994484249
182.43208360751691e-094.86416721503383e-090.999999997567916
192.21510726346730e-084.43021452693460e-080.999999977848927
203.37144747107402e-096.74289494214805e-090.999999996628553
219.41760948767846e-101.88352189753569e-090.99999999905824
222.3334810497393e-104.6669620994786e-100.999999999766652
237.85517199778525e-111.57103439955705e-100.999999999921448
241.37859176788035e-112.75718353576069e-110.999999999986214
253.57235974493121e-127.14471948986243e-120.999999999996428
267.8881926041566e-131.57763852083132e-120.999999999999211
276.32062223754689e-131.26412444750938e-120.999999999999368
283.79816315907879e-137.59632631815759e-130.99999999999962
297.40780612979165e-141.48156122595833e-130.999999999999926
301.20067499811604e-142.40134999623207e-140.999999999999988
311.03416084774483e-132.06832169548966e-130.999999999999897
322.17651337368183e-144.35302674736367e-140.999999999999978
336.13804271494524e-151.22760854298905e-140.999999999999994
341.22119633916234e-152.44239267832467e-150.999999999999999
352.75990869642768e-165.51981739285537e-161
363.86687701497779e-167.73375402995558e-161
378.89025431016517e-171.77805086203303e-161
382.27582297035992e-174.55164594071984e-171
391.30450771407335e-172.60901542814669e-171
403.721601180822e-177.443202361644e-171
411.96523337595439e-153.93046675190878e-150.999999999999998
420.05147267407672120.1029453481534420.948527325923279
430.08592245458169910.1718449091633980.9140775454183
440.08289278119355190.1657855623871040.917107218806448
450.1997507346741560.3995014693483130.800249265325844
460.83385723951610.3322855209678000.166142760483900
470.8334078910317130.3331842179365750.166592108968287
480.8540391728893350.291921654221330.145960827110665
490.8546584208087660.2906831583824680.145341579191234
500.8881726390323060.2236547219353870.111827360967694
510.8689736266838910.2620527466322180.131026373316109
520.9576873904172540.08462521916549120.0423126095827456
530.963338845276270.07332230944746130.0366611547237306
540.9652740006415860.06945199871682730.0347259993584136
550.9877924051888370.02441518962232590.0122075948111630
560.9842862548653960.03142749026920740.0157137451346037
570.9798463437621420.04030731247571660.0201536562378583
580.9854849058232140.02903018835357150.0145150941767857
590.9964649570388680.007070085922265020.00353504296113251
600.9991487591120260.001702481775947880.000851240887973938
610.9992375352489510.001524929502097560.000762464751048781
620.9993491346682260.001301730663547680.00065086533177384
630.9991768399316010.001646320136796960.000823160068398482
640.9996221991846140.000755601630772510.000377800815386255
650.9994267923226480.001146415354704630.000573207677352313
660.9993569905079360.001286018984127520.000643009492063762
670.9994038976143710.001192204771258280.000596102385629139
680.999731939481260.0005361210374786940.000268060518739347
690.9997735113799930.0004529772400129230.000226488620006462
700.9997293372749680.0005413254500649040.000270662725032452
710.9997241225906960.0005517548186074280.000275877409303714
720.9995820269699360.0008359460601275480.000417973030063774
730.9994056392594630.001188721481073340.000594360740536668
740.999559650940660.000880698118680290.000440349059340145
750.9993662251005810.001267549798837920.00063377489941896
760.9992230953803640.001553809239272950.000776904619636477
770.9988693684322360.002261263135528290.00113063156776414
780.998375314956970.003249370086058890.00162468504302944
790.9988710266192550.002257946761490530.00112897338074526
800.9991433738450680.001713252309863420.000856626154931712
810.9991169658520180.00176606829596460.0008830341479823
820.9992041627621340.001591674475732770.000795837237866387
830.9988915494675140.002216901064971890.00110845053248595
840.998472337337290.003055325325419550.00152766266270978
850.9995696228488420.0008607543023170450.000430377151158522
860.9994223819945660.001155236010868510.000577618005434254
870.9991214148549530.001757170290093200.000878585145046599
880.9988661241407250.002267751718550930.00113387585927547
890.999246406329270.001507187341460440.000753593670730222
900.9988832214266360.002233557146727960.00111677857336398
910.99868967916310.002620641673799770.00131032083689988
920.9991378523881770.0017242952236460.000862147611823
930.9988819392593470.002236121481306770.00111806074065339
940.9985507799968950.002898440006209750.00144922000310487
950.997941697683870.004116604632258130.00205830231612906
960.997077085690290.005845828619419680.00292291430970984
970.9960497243875560.007900551224888620.00395027561244431
980.9946147773127940.0107704453744130.0053852226872065
990.994170877250710.01165824549857840.00582912274928922
1000.9928670161287950.01426596774240960.00713298387120479
1010.9904603498863220.01907930022735510.00953965011367755
1020.9890860742064430.02182785158711490.0109139257935575
1030.9915894045228720.01682119095425540.00841059547712768
1040.9927800005873990.01443999882520240.0072199994126012
1050.9934696786817140.01306064263657120.00653032131828561
1060.9931217746266680.01375645074666430.00687822537333217
1070.9924532971957780.01509340560844450.00754670280422226
1080.9933364886508580.01332702269828340.0066635113491417
1090.9948056188490240.01038876230195240.00519438115097622
1100.9958284734750530.008343053049894350.00417152652494717
1110.9950044580936040.009991083812791530.00499554190639576
1120.9967385651265880.006522869746824960.00326143487341248
1130.995786361447820.008427277104360530.00421363855218027
1140.9939148187650180.01217036246996510.00608518123498253
1150.9917000494427920.01659990111441510.00829995055720754
1160.9922917511005620.01541649779887660.00770824889943831
1170.9931035280477630.01379294390447390.00689647195223694
1180.989938915966120.02012216806776140.0100610840338807
1190.9849523853228990.03009522935420300.0150476146771015
1200.9893222114219220.0213555771561560.010677788578078
1210.984830012581230.03033997483753870.0151699874187694
1220.9779565054869330.04408698902613450.0220434945130673
1230.975198272001540.04960345599692070.0248017279984604
1240.964658967804780.070682064390440.03534103219522
1250.9611292712205040.07774145755899140.0388707287794957
1260.9593438757664370.08131224846712630.0406561242335632
1270.9472449461711570.1055101076576850.0527550538288426
1280.9448850749086930.1102298501826150.0551149250913074
1290.9623379240462180.07532415190756440.0376620759537822
1300.950774226493320.09845154701335930.0492257735066797
1310.9323813191632650.135237361673470.067618680836735
1320.9257895654597970.1484208690804060.0742104345402028
1330.8962081190987580.2075837618024840.103791880901242
1340.8561075880512930.2877848238974150.143892411948707
1350.8270296980501060.3459406038997880.172970301949894
1360.8015016935531920.3969966128936170.198498306446808
1370.7612291582073780.4775416835852440.238770841792622
1380.7887231877944140.4225536244111720.211276812205586
1390.9631823950902260.07363520981954820.0368176049097741
1400.9922415378165930.01551692436681510.00775846218340754
1410.9845447087115580.03091058257688410.0154552912884420
1420.9667492081052460.0665015837895070.0332507918947535
1430.935690789924250.1286184201515010.0643092100757505
1440.8743748336572870.2512503326854250.125625166342713
1450.8057602271101240.3884795457797520.194239772889876
1460.7352739582060970.5294520835878060.264726041793903


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level750.547445255474453NOK
5% type I error level1030.751824817518248NOK
10% type I error level1130.824817518248175NOK