Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.983357375578792 + 0.0893813706555356month[t] + 0.104378264723487FindingFriends[t] + 0.211622867223575KnowingPeople[t] + 0.385193850989470Liked[t] + 0.594410135928509Celebrity[t] + 0.307649945898061bestfriend[t] -0.0324002150208811secondbestfriend[t] + 0.411552931191423thirdbestfriend[t] -0.00181007322403901t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.9833573755787926.011657-0.16360.8702920.435146
month0.08938137065553560.6408420.13950.8892670.444634
FindingFriends0.1043782647234870.0985591.0590.2913270.145664
KnowingPeople0.2116228672235750.064053.3040.0011996e-04
Liked0.3851938509894700.0990383.88940.0001527.6e-05
Celebrity0.5944101359285090.1569613.7870.0002220.000111
bestfriend0.3076499458980610.2119911.45120.1488590.074429
secondbestfriend-0.03240021502088110.20236-0.16010.8730140.436507
thirdbestfriend0.4115529311914230.2146121.91770.0571070.028553
t-0.001810073224039010.006864-0.26370.7923890.396194


Multiple Linear Regression - Regression Statistics
Multiple R0.719101919830673
R-squared0.51710757110416
Adjusted R-squared0.487340229596882
F-TEST (value)17.3716410307495
F-TEST (DF numerator)9
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.1026328891003
Sum Squared Residuals645.475499683636


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.20490267115811.79509732884189
21211.05019761674710.94980238325289
31513.12846422596931.87153577403075
41211.45023897093350.549761029066484
51010.9719246015601-0.97192460156013
6129.361223319074252.63877668092575
71516.9268608320424-1.92686083204242
8910.3094079411661-1.30940794116615
91213.0209978602754-1.02099786027543
10117.543366222382273.45663377761773
111113.0149485846245-2.01494858462453
121112.1838317170145-1.18383171701454
131512.29915926881192.70084073118813
14711.4832734656525-4.48327346565248
151111.2781603020676-0.278160302067564
161110.82207607511430.177923924885652
171011.8347311899754-1.83473118997540
181414.8674128169904-0.867412816990426
19108.5682397001051.43176029989501
2069.3425500044131-3.34255000441309
21118.779320926583292.22067907341672
221514.07376263467850.926237365321513
231111.5803388330651-0.580338833065076
24129.741605246585292.25839475341471
251413.08433613908770.915663860912256
261514.52457487353490.475425126465101
27914.3087353508027-5.30873535080275
281312.48340322421540.516596775784634
291313.4529879522718-0.452987952271807
301611.16945199770554.83054800229448
31138.751625274391044.24837472560896
321213.6248490819480-1.62484908194797
331414.5697830251290-0.569783025128966
34119.607901702815581.39209829718442
35910.2281357490962-1.22813574909621
361614.18490715395861.81509284604136
371213.1540413424309-1.15404134243088
38109.713073900468350.286926099531649
391313.1545469131956-0.154546913195559
401615.22877361825290.771226381747053
411413.11518493451990.884815065480128
42158.07058331810846.9294166818916
4359.71510528588548-4.71510528588548
44810.3134380241432-2.31343802414315
451111.1487052586015-0.148705258601461
461614.21750746621981.78249253378025
471714.24753084317852.75246915682147
4898.02879397139070.9712060286093
49911.3995874334900-2.39958743349003
501314.8178416598702-1.81784165987018
511010.8886453480061-0.888645348006098
52611.9910442211409-5.99104422114089
531211.84951904128590.150480958714054
54810.4331664434410-2.43316644344105
551411.80910639081632.19089360918366
561212.8761180336080-0.876118033608047
571111.1092335643711-0.109233564371141
581614.17475705960221.82524294039776
59810.2776291475077-2.27762914750773
601514.65754471011630.342455289883676
6179.15112059843979-2.15112059843979
621613.94641103452322.05358896547682
631412.91304739004521.08695260995478
641613.6614142093312.338585790669
65910.2507224958308-1.25072249583076
661412.38949858308011.61050141691992
671113.2954002601194-2.29540026011941
681310.42329743640302.57670256359698
691513.01758105458811.98241894541193
7055.82162779891743-0.821627798917435
711512.9383483059032.061651694097
721311.97378755277511.02621244722486
731113.0575037847135-2.05750378471349
741114.1346593713084-3.13465937130841
751212.2462910576543-0.246291057654347
761213.4605564914878-1.46055649148783
771212.8158509750580-0.81585097505803
781212.1256704010635-0.125670401063508
791411.09863701011072.90136298988934
8068.02152943171598-2.02152943171598
8179.46530618764306-2.46530618764306
821412.63028677016221.36971322983782
831414.0434433176965-0.0434433176964516
841010.9996709892448-0.999670989244844
85139.395760077086323.60423992291368
861212.4552688010383-0.455268801038252
8799.09895259471804-0.0989525947180386
881212.3827335866523-0.382733586652303
891615.11263259648510.887367403514898
901010.8271360363588-0.827136036358803
911413.01494141406290.985058585937127
921013.6743590227115-3.67435902271151
931615.01894942685980.98105057314016
941513.32693852593841.67306147406163
951211.49569137969530.504308620304676
96109.296984320537470.703015679462536
97810.2975523598291-2.29755235982907
9888.4817653155485-0.4817653155485
991112.5542135160764-1.55421351607642
1001313.0145764114289-0.0145764114288983
1011615.89571675069890.104283249301138
1021615.18984535676170.81015464323831
1031415.6944063024031-1.69440630240307
104118.994008885848432.00599111415157
10547.37063441742283-3.37063441742284
1061414.6930170629043-0.69301706290434
107910.5659658154158-1.56596581541582
1081415.2574638574311-1.25746385743105
109810.0167137756442-2.01671377564416
110810.4697500279441-2.46975002794406
1111111.9652097964192-0.965209796419187
1121213.1931382162864-1.19313821628645
1131111.0137981823412-0.0137981823411839
1141413.01971279941670.980287200583345
1151514.40118373768310.598816262316856
1161613.35344329627532.64655670372468
1171612.87311181099953.12688818900047
1181112.6472019672902-1.64720196729016
1191413.36306660288290.63693339711708
1201410.99614951011693.00385048988306
1211211.55541432287830.444585677121667
1221413.05278987026980.947210129730188
123810.8065061752171-2.80650617521711
1241314.2747980236383-1.27479802363834
1251614.50865984660981.49134015339024
1261210.56942807826611.43057192173394
1271615.84107187558260.158928124417362
1281212.6796300217692-0.6796300217692
1291111.2682259994715-0.26822599947148
13045.69832608065275-1.69832608065275
1311616.0766810985428-0.0766810985427819
1321513.06389867075971.93610132924026
1331011.1235806511745-1.12358065117449
1341314.2784553749570-1.27845537495702
1351512.56410719570152.43589280429851
1361210.17419174575751.82580825424246
1371412.84695430395621.15304569604381
138710.3775092422047-3.37750924220472
1391913.70535664916095.29464335083911
1401213.0227660694378-1.02276606943781
1411211.88217334639780.117826653602175
1421313.2070126965691-0.207012696569090
1431512.40761733729642.59238266270357
14488.9046262949945-0.904626294994503
1451211.12112704607510.878872953924872
1461010.3911752139798-0.391175213979777
147811.2623122209065-3.26231222090646
1481014.2774505151922-4.27745051519218
1491514.16090976054150.839090239458515
1501613.96414778300562.03585221699443
1511313.1799642692192-0.179964269219202
1521614.96907963006441.03092036993557
15399.6862486002568-0.6862486002568
1541413.27853356589490.721466434105089
1551413.33556860094170.664431399058298
156129.960881276030942.03911872396906


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.8360017920639080.3279964158721840.163998207936092
140.901958394078540.1960832118429210.0980416059214603
150.8792405576445190.2415188847109610.120759442355481
160.8086167936731950.382766412653610.191383206326805
170.7265851617577060.5468296764845890.273414838242294
180.6667970381310560.6664059237378870.333202961868944
190.6079103465340510.7841793069318980.392089653465949
200.7021283567818560.5957432864362890.297871643218144
210.694192286731520.611615426536960.30580771326848
220.7453161201656740.5093677596686520.254683879834326
230.6834184238435540.6331631523128920.316581576156446
240.7077771320386890.5844457359226220.292222867961311
250.6845357751627270.6309284496745460.315464224837273
260.6260797639906050.747840472018790.373920236009395
270.8061671630168050.387665673966390.193832836983195
280.7709756533203480.4580486933593040.229024346679652
290.7170351166570270.5659297666859450.282964883342973
300.8186239096800470.3627521806399070.181376090319953
310.8601566196548280.2796867606903430.139843380345172
320.8296662109924670.3406675780150670.170333789007533
330.7873125932527150.4253748134945710.212687406747285
340.7549054105990890.4901891788018220.245094589400911
350.736412067999250.52717586400150.26358793200075
360.756719463465380.4865610730692400.243280536534620
370.7400780364288230.5198439271423540.259921963571177
380.6964621888116210.6070756223767580.303537811188379
390.6463023439943410.7073953120113170.353697656005659
400.6025816866541130.7948366266917740.397418313345887
410.5526456395378220.8947087209243560.447354360462178
420.843176300736540.3136473985269200.156823699263460
430.9708149181968720.05837016360625550.0291850818031278
440.9717544762045280.05649104759094330.0282455237954716
450.963116069055830.07376786188833890.0368839309441695
460.9686958461038130.06260830779237360.0313041538961868
470.9750191368960970.04996172620780630.0249808631039031
480.9715922006109860.05681559877802780.0284077993890139
490.9680591305216810.06388173895663760.0319408694783188
500.9594327589301220.08113448213975650.0405672410698782
510.9527291428159770.09454171436804630.0472708571840232
520.989272727210280.02145454557943960.0107272727897198
530.98580342590630.02839314818739830.0141965740936991
540.9891549151957050.02169016960858930.0108450848042947
550.9927678910020530.01446421799589430.00723210899794713
560.9902117190816380.01957656183672420.0097882809183621
570.9865131544645910.02697369107081800.0134868455354090
580.9858478311767550.02830433764648930.0141521688232447
590.9890595788110890.02188084237782300.0109404211889115
600.9878590335761450.02428193284771090.0121409664238554
610.9877983317135950.02440333657281040.0122016682864052
620.989447218573090.02110556285381850.0105527814269092
630.9878855753545760.02422884929084790.0121144246454240
640.9882874413655620.02342511726887570.0117125586344379
650.987659898327960.02468020334407930.0123401016720396
660.9856703082117070.02865938357658670.0143296917882934
670.9873147163489450.02537056730210980.0126852836510549
680.988869906293760.02226018741247770.0111300937062389
690.988298091441910.02340381711618070.0117019085580904
700.9850823550256860.02983528994862860.0149176449743143
710.9855569406129770.02888611877404670.0144430593870233
720.9821643168462680.03567136630746350.0178356831537317
730.9824987923777140.03500241524457220.0175012076222861
740.9874030103962650.02519397920747010.0125969896037350
750.9833495355852780.03330092882944380.0166504644147219
760.9801562422371860.03968751552562730.0198437577628136
770.9742931165743880.05141376685122350.0257068834256118
780.966661732462630.06667653507474120.0333382675373706
790.9756401282116540.04871974357669180.0243598717883459
800.97399429858950.05201140282099980.0260057014104999
810.9749669441903630.05006611161927410.0250330558096371
820.9729834829159950.05403303416800980.0270165170840049
830.9644489453169550.07110210936609030.0355510546830452
840.9552105811569710.08957883768605760.0447894188430288
850.981998073761220.03600385247755820.0180019262387791
860.9760140750782780.04797184984344420.0239859249217221
870.9687225114776140.06255497704477160.0312774885223858
880.9597489503999030.08050209920019470.0402510496000973
890.951008179153530.0979836416929410.0489918208464705
900.9384758045615820.1230483908768360.0615241954384181
910.9306311776964690.1387376446070620.0693688223035308
920.9547720784722720.09045584305545580.0452279215277279
930.945151260319080.1096974793618400.0548487396809199
940.9434307560432380.1131384879135240.056569243956762
950.9320031673230580.1359936653538840.067996832676942
960.9197028008542970.1605943982914050.0802971991457026
970.9127613963768920.1744772072462150.0872386036231077
980.8944599622838110.2110800754323780.105540037716189
990.8789282253723880.2421435492552240.121071774627612
1000.8530227067171310.2939545865657370.146977293282869
1010.8222658893142340.3554682213715310.177734110685766
1020.7957130232207190.4085739535585620.204286976779281
1030.8081798667721190.3836402664557630.191820133227881
1040.8644358748211280.2711282503577450.135564125178872
1050.8618593918989080.2762812162021840.138140608101092
1060.8298872560317040.3402254879365930.170112743968296
1070.7974678520633550.405064295873290.202532147936645
1080.7836563727571280.4326872544857450.216343627242872
1090.7648546255359240.4702907489281530.235145374464076
1100.7841433090689460.4317133818621080.215856690931054
1110.7690453858734060.4619092282531870.230954614126594
1120.8343242561006160.3313514877987690.165675743899384
1130.7972502037923040.4054995924153920.202749796207696
1140.7663321627394730.4673356745210530.233667837260527
1150.7229761302440690.5540477395118620.277023869755931
1160.732170131757850.5356597364842990.267829868242150
1170.7443748227326770.5112503545346470.255625177267323
1180.7256229710673910.5487540578652180.274377028932609
1190.675379918339690.649240163320620.32462008166031
1200.771318547410680.4573629051786410.228681452589320
1210.7409583544455080.5180832911089850.259041645554492
1220.6882524185663690.6234951628672620.311747581433631
1230.6743283621109530.6513432757780930.325671637889046
1240.6314835368724560.7370329262550880.368516463127544
1250.6121768779478870.7756462441042260.387823122052113
1260.6125528192807930.7748943614384140.387447180719207
1270.546035670759180.907928658481640.45396432924082
1280.504878729170790.990242541658420.49512127082921
1290.4829941377381180.9659882754762370.517005862261882
1300.4650092500288740.9300185000577480.534990749971126
1310.3929231015754660.7858462031509320.607076898424534
1320.3714622525341470.7429245050682940.628537747465853
1330.3256673343316130.6513346686632260.674332665668387
1340.2813238243717270.5626476487434550.718676175628273
1350.2375461515696080.4750923031392150.762453848430392
1360.2190691513409920.4381383026819840.780930848659008
1370.1843066889337090.3686133778674190.81569331106629
1380.1975809082023620.3951618164047240.802419091797638
1390.6160697450689150.767860509862170.383930254931085
1400.5261505179104360.9476989641791270.473849482089564
1410.4055698626061720.8111397252123440.594430137393828
1420.4008516816240130.8017033632480250.599148318375987
1430.2780890056171930.5561780112343870.721910994382807


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level290.221374045801527NOK
10% type I error level480.366412213740458NOK