Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.0931214533090044 + 0.114501138766229FindingFriends[t] + 0.209268449968475KnowingPeople[t] + 0.358378633517791Liked[t] + 0.6165874587436Celebrity[t] + 0.213464699493471Sum_friends[t] + 0.104200617441746Day[t] -0.00667926178074979t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.09312145330900441.454348-0.0640.9490330.474516
FindingFriends0.1145011387662290.0972561.17730.2409570.120479
KnowingPeople0.2092684499684750.0641123.26410.0013640.000682
Liked0.3583786335177910.0973793.68030.0003260.000163
Celebrity0.61658745874360.1574413.91630.0001376.8e-05
Sum_friends0.2134646994934710.1207261.76820.0790930.039547
Day0.1042006174417460.1953410.53340.5945370.297269
t-0.006679261780749790.011864-0.5630.57430.28715


Multiple Linear Regression - Regression Statistics
Multiple R0.714498470884513
R-squared0.510508064896307
Adjusted R-squared0.487356419317078
F-TEST (value)22.050616797379
F-TEST (DF numerator)7
F-TEST (DF denominator)148
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.10259968841939
Sum Squared Residuals654.296966561714


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.35828701682071.64171298317934
21211.00120613445650.998793865543454
31513.08085705482071.91914294517925
41211.12021396884060.879786031159364
51010.8808751034702-0.88087510347015
6129.173667086360082.82633291363992
71516.8250435068735-1.82504350687353
8910.2555911878983-1.25559118789829
91212.5922472750568-0.592247275056755
10117.5786616153683.42133838463201
111113.2156278980623-2.21562789806234
121112.0338923912738-1.03389239127376
131512.41101754729472.5889824527053
14711.4390943772195-4.43909437721946
151111.5506970176144-0.550697017614382
161110.62069399358920.379306006410754
171012.00049608237-2.00049608237001
181414.3633687152616-0.363368715261566
19108.617987720076081.38201227992392
2069.28859807020295-3.28859807020295
21118.789431235059562.21056876494044
221514.48979266083760.510207339162353
231111.8807784634427-0.880778463442688
24129.62931451646762.37068548353239
251413.0332503394640.966749660536022
261514.61920743890080.380792561099206
27914.4522001024089-5.4522001024089
281312.72812482234290.271875177657059
291313.0256047590851-0.0256047590850795
301611.08710799579844.91289200420157
31138.701154655378484.29884534462152
321213.5917416372283-1.59174163722834
331414.7442866195091-0.744286619509098
341110.1347436780410.865256321958997
35910.497117054195-1.49711705419501
361614.51589775403571.48410224596428
371213.1546442317169-1.15464423171687
38109.603527815811150.396472184188847
391312.9336364027340.066363597266006
401615.67761149866760.32238850133242
411413.03897526746370.961024732536282
42158.021195947383156.97880405261685
4359.687707501623-4.68770750162299
44810.2581480434579-2.25814804345788
451111.2795714987209-0.279571498720851
461613.86604391205512.13395608794487
471714.3255148296852.67448517031505
4898.205382517961260.794617482038742
49911.404790027259-2.404790027259
501314.4683384624023-1.4683384624023
511011.0845703504149-1.08457035041494
52612.4279802219199-6.4279802219199
531212.1686180693552-0.168618069355241
54810.5633636149327-2.56336361493267
551411.90718580151722.09281419848282
561212.9480962096398-0.948096209639805
571110.67851757964780.321482420352156
581614.60253096828631.3974690317137
59810.5310501162415-2.53105011624149
601514.62984375828430.370156241715688
6179.11471329121909-2.11471329121909
621614.20256007042641.79743992957359
631413.12303137673640.876968623263596
641613.37414804319912.62585195680089
65910.4129896433215-1.41298964332153
661412.14614218214961.85385781785035
671113.2431380445186-2.2431380445186
681310.3053296257662.69467037423397
691513.27382187197971.72617812802031
7055.85242053591144-0.852420535911444
711512.95210790037032.0478920996297
721312.63719662789380.362803372106163
731112.4558579609277-1.4558579609277
741114.1962017145182-3.19620171451821
751212.7954755737943-0.795475573794256
761213.4321392399579-1.43213923995792
771212.3557265747135-0.355726574713531
781211.9256518026510.074348197349046
791410.85896132137353.14103867862654
8067.91196964212171-1.91196964212172
8179.70611238131443-2.70611238131443
821412.35507070220821.64492929779175
831414.1409469688363-0.140946968836334
841011.1241982765507-1.1241982765507
85139.071200374497823.92879962550218
861212.280199078-0.280199077999962
8799.36171217173182-0.361712171731816
881211.93331433112410.0666856688758657
891614.86220735054451.13779264945547
901010.4811648028871-0.481164802887095
911413.13697874313970.863021256860285
921013.6131908972401-3.61319089724007
931615.53724891588580.462751084114162
941513.39637931778221.60362068221781
951211.48289285266390.517107147336103
96109.347549189002150.652450810997854
97810.0946873175326-2.0946873175326
9888.69138666096395-0.691386660963949
991112.6021489402075-1.60214894020754
1001312.53896377478780.461036225212232
1011615.57858213284210.421417867157913
1021614.90948847637281.09051152362718
1031415.3685027353908-1.36850273539084
104118.964406674597192.03559332540281
10547.05673560355099-3.05673560355099
1061414.7124317109416-0.712431710941596
107910.517644906001-1.51764490600101
1081415.262235143614-1.26223514361397
109810.2264671670019-2.22646716700188
110810.6419821312154-2.64198213121536
1111111.8648204608645-0.864820460864535
1121213.1317405554262-1.13174055542616
1131111.0788660907255-0.0788660907254537
1141413.25801949528460.74198050471539
1151514.44396727478370.556032725216284
1161613.40797904839452.59202095160549
1171612.87540682689963.12459317310043
1181112.7568035313305-1.75680353133049
1191414.1386402507739-0.138640250773903
1201410.79932821731833.2006717826817
1211211.4789934273150.521006572684956
1221412.45309565186781.54690434813222
123810.791879180551-2.79187918055104
1241314.0062803811429-1.00628038114291
1251613.88509998059592.11490001940407
1261210.52455841238141.47544158761858
1271615.39894049209530.60105950790473
1281212.652824763762-0.652824763762011
1291111.3105192708351-0.310519270835101
13045.839463016272-1.839463016272
1311616.0126175434527-0.0126175434526828
1321512.52419532644782.47580467355223
1331011.2099749876386-1.20997498763858
1341313.8877219959662-0.887721995966244
1351512.97284106386452.02715893613546
1361210.32406975171141.67593024828857
1371413.47698300096720.523016999032763
138710.2770195532042-3.27701955320419
1391913.8272401676385.17275983236197
1401212.8342534850819-0.8342534850819
1411211.74525207126250.254747928737473
1421313.2395552988095-0.239555298809517
1431512.28952898759022.71047101240979
14488.70031081069254-0.700310810692541
1451210.79089016258841.20910983741163
1461010.6628115577567-0.662811557756729
147811.1204961318578-3.12049613185784
1481014.5375596268969-4.53755962689691
1491513.71030092700851.28969907299154
1501614.03640907408641.96359092591364
1511313.3264786636824-0.326478663682362
1521615.13724179112660.86275820887336
153910.2535821517534-1.25358215175342
1541413.49544731813940.504552681860619
1551413.58706429298880.412935707011151
1561210.56259301488341.43740698511656


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.2319584747297550.4639169494595110.768041525270245
120.1449268784994110.2898537569988220.85507312150059
130.6768478263210980.6463043473578040.323152173678902
140.8073181993361380.3853636013277250.192681800663862
150.7427820218024780.5144359563950430.257217978197522
160.6564143692218070.6871712615563860.343585630778193
170.5691292595775270.8617414808449460.430870740422473
180.5435395227044070.9129209545911870.456460477295593
190.4536087169398620.9072174338797240.546391283060138
200.5914348900930340.8171302198139330.408565109906966
210.6103375666608230.7793248666783540.389662433339177
220.6363470471424890.7273059057150230.363652952857511
230.564409575479090.871180849041820.43559042452091
240.5674442513545730.8651114972908540.432555748645427
250.5218915715124870.9562168569750250.478108428487513
260.4564734427289120.9129468854578240.543526557271088
270.6938932297488370.6122135405023270.306106770251163
280.6504963336102840.6990073327794320.349503666389716
290.5966517173438250.806696565312350.403348282656175
300.758772132731620.4824557345367610.24122786726838
310.8366734460293590.3266531079412820.163326553970641
320.8031135085395830.3937729829208330.196886491460417
330.7590393768953890.4819212462092220.240960623104611
340.7286910718496090.5426178563007830.271308928150391
350.7213769451524260.5572461096951470.278623054847574
360.71983231649410.56033536701180.2801676835059
370.6935478961783770.6129042076432460.306452103821623
380.6452524397324760.7094951205350480.354747560267524
390.5968964568718780.8062070862562440.403103543128122
400.5536627193147780.8926745613704430.446337280685222
410.5138071823535120.9723856352929750.486192817646488
420.7908096310402290.4183807379195430.209190368959771
430.9575481789638050.0849036420723910.0424518210361955
440.9610054888882020.0779890222235960.038994511111798
450.948781088740270.102437822519460.0512189112597298
460.955660657867870.08867868426425850.0443393421321292
470.9552245153391780.08955096932164490.0447754846608225
480.9452516322537930.1094967354924140.0547483677462072
490.9427397396916950.114520520616610.057260260308305
500.931630423448570.136739153102860.0683695765514298
510.9235814689922570.1528370620154850.0764185310077426
520.9881598475417860.02368030491642810.0118401524582141
530.9846222344529020.0307555310941970.0153777655470985
540.9876017303194760.02479653936104850.0123982696805242
550.9921896529579860.0156206940840270.0078103470420135
560.9896348987410580.02073020251788490.0103651012589424
570.9859361410521050.028127717895790.014063858947895
580.9842134220869230.03157315582615430.0157865779130772
590.9892847733593410.02143045328131740.0107152266406587
600.9884596493009830.02308070139803390.011540350699017
610.9883191446167540.0233617107664930.0116808553832465
620.9887439274879760.02251214502404840.0112560725120242
630.9873524917003880.02529501659922450.0126475082996123
640.989822895124790.02035420975041930.0101771048752097
650.9886495271764450.02270094564710960.0113504728235548
660.9879518045146280.02409639097074380.0120481954853719
670.9883478927985830.02330421440283380.0116521072014169
680.990574911589240.01885017682151930.00942508841075963
690.9900789493311990.01984210133760260.00992105066880131
700.9869745531686440.02605089366271280.0130254468313564
710.9873788704735060.02524225905298820.0126211295264941
720.9831882897789620.03362342044207530.0168117102210376
730.98007770065040.03984459869919870.0199222993495994
740.9860153341751650.02796933164967080.0139846658248354
750.9815516481873150.03689670362537080.0184483518126854
760.9784707077825160.04305858443496830.0215292922174842
770.9719950173170370.0560099653659270.0280049826829635
780.9633421745961010.07331565080779840.0366578254038992
790.9761693473976830.04766130520463310.0238306526023166
800.9743585991756780.05128280164864340.0256414008243217
810.9774080009230240.04518399815395290.0225919990769765
820.9771642896836990.0456714206326030.0228357103163015
830.9697342846648840.06053143067023230.0302657153351161
840.9626228150805280.07475436983894480.0373771849194724
850.9879650254467460.02406994910650790.012034974553254
860.983786048791810.03242790241637980.0162139512081899
870.9782640535604810.04347189287903780.0217359464395189
880.9719500995470730.05609980090585390.028049900452927
890.9669478428138830.06610431437223370.0330521571861169
900.9574459635708760.08510807285824750.0425540364291237
910.9503476572705780.09930468545884460.0496523427294223
920.9692205841614420.0615588316771170.0307794158385585
930.9606494664071390.07870106718572280.0393505335928614
940.9566776399742890.08664472005142280.0433223600257114
950.9465688480127750.1068623039744510.0534311519872253
960.9352303554882070.1295392890235850.0647696445117927
970.9279499091593940.1441001816812120.0720500908406061
980.9105084665982970.1789830668034060.0894915334017028
990.9003599976074060.1992800047851880.099640002392594
1000.8808113267370110.2383773465259780.119188673262989
1010.8549988827912860.2900022344174290.145001117208714
1020.8347835645990550.3304328708018890.165216435400945
1030.8365794191650070.3268411616699860.163420580834993
1040.8889876678322380.2220246643355240.111012332167762
1050.8861923203071710.2276153593856570.113807679692829
1060.8595331036058050.2809337927883910.140466896394195
1070.8325014232972860.3349971534054290.167498576702714
1080.824718882415220.350562235169560.17528111758478
1090.8169834303579440.3660331392841130.183016569642057
1100.8370562682068570.3258874635862860.162943731793143
1110.826141327456820.3477173450863590.173858672543179
1120.8834128902021030.2331742195957940.116587109797897
1130.8545885416733370.2908229166533260.145411458326663
1140.8310827584707820.3378344830584350.168917241529218
1150.796939253680710.4061214926385810.20306074631929
1160.7854261921374460.4291476157251080.214573807862554
1170.7868210977770580.4263578044458830.213178902222942
1180.7898540323373840.4202919353252310.210145967662616
1190.7485818672777720.5028362654444570.251418132722228
1200.7939435068637470.4121129862725070.206056493136253
1210.754339191950160.4913216160996810.24566080804984
1220.7197070026217010.5605859947565970.280292997378299
1230.7173725452581430.5652549094837140.282627454741857
1240.6773157905095240.6453684189809520.322684209490476
1250.6601114978508250.679777004298350.339888502149175
1260.6414794305415320.7170411389169370.358520569458468
1270.5775341883056950.844931623388610.422465811694305
1280.5463987431385010.9072025137229980.453601256861499
1290.548882644834060.902234710331880.45111735516594
1300.5637784200328040.8724431599343920.436221579967196
1310.5052317859481840.9895364281036310.494768214051816
1320.4604197437356370.9208394874712740.539580256264363
1330.4448596174385320.8897192348770650.555140382561468
1340.3723994550882290.7447989101764570.627600544911771
1350.3196238039361110.6392476078722220.680376196063889
1360.3016831267821120.6033662535642240.698316873217888
1370.234538290034390.4690765800687790.76546170996561
1380.3218849580678430.6437699161356860.678115041932157
1390.7053278970489760.5893442059020480.294672102951024
1400.6616925817549830.6766148364900340.338307418245017
1410.5946868672859150.810626265428170.405313132714085
1420.4931566723027140.9863133446054290.506843327697286
1430.4230696832247590.8461393664495180.576930316775241
1440.2971134936674140.5942269873348270.702886506332586
1450.527634846431560.944730307136880.47236515356844


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level310.22962962962963NOK
10% type I error level470.348148148148148NOK