Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.184727929928006 + 0.102458915938333FindingFriends[t] + 0.241835431638646KnowingPeople[t] + 0.349828593066031Liked[t] + 0.637259261836312Celebrity[t] + 0.0988008593457308Date[t] -0.0064127230084315t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.1847279299280061.4561140.12690.8992190.44961
FindingFriends0.1024589159383330.0977071.04860.2960430.148022
KnowingPeople0.2418354316386460.0618463.91030.000147e-05
Liked0.3498285930660310.097953.57150.0004780.000239
Celebrity0.6372592618363120.1581234.03028.9e-054.4e-05
Date0.09880085934573080.1967060.50230.6162150.308107
t-0.00641272300843150.011948-0.53670.5922470.296123


Multiple Linear Regression - Regression Statistics
Multiple R0.707225438473912
R-squared0.500167820824616
Adjusted R-squared0.480040350522252
F-TEST (value)24.8500091323379
F-TEST (DF numerator)6
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.11754990906277
Sum Squared Residuals668.118624988388


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.45432751177201.54567248822804
21211.1689618066660.831038193334013
31513.61171801936991.38828198063014
41210.89435484996581.10564515003425
51010.7288194829093-0.728819482909259
6129.277128366254972.72287163374503
71516.8349613115104-1.83496131151042
8910.5190753155630-1.51907531556297
91212.2876546666686-0.287654666668564
10117.982662029590823.01733797040918
111113.3158061960333-2.31580619603329
121112.1177715402679-1.11777154026790
131512.23098920461202.76901079538798
14711.2771808340937-4.27718083409372
151111.6859380696307-0.685938069630715
161110.95144439477280.048555605227192
171012.0857079252257-2.08570792522574
181414.3434923850977-0.343492385097678
19108.777878393190981.22212160680902
2069.54495805583857-3.54495805583857
21118.684930963888952.31506903611105
221514.46223758954130.537762410458681
231111.6739988091688-0.673998809168759
24129.547930880219212.45206911978079
251413.45037732012460.54962267987537
261514.87466232365320.125337676346752
27914.6720094061378-5.67200940613781
281312.49203738693710.507962613062922
291313.2253428417033-0.225342841703291
301610.80077575300545.19922424699464
31138.490473639724084.50952636027592
321213.5959942573866-1.59599425738661
331414.4941565523869-0.494156552386905
341110.1142614634980.885738536501996
35910.5435335130268-1.54353351302678
361614.317671928211.68232807179001
371212.9627055313080-0.962705531308015
38109.224096545098140.775903454901863
391313.1151057097753-0.115105709775342
401615.27910889107860.720891108921396
411412.96290374805821.03709625194183
42158.102995852484586.89700414751543
4359.7866715130881-4.78667151308811
44810.4913532514399-2.49135325143995
451111.2757881888268-0.275788188826849
461613.81546907198002.18453092801998
471713.01820868857633.98179131142375
4898.508881924340850.491118075659151
49911.9300483545774-2.93004835457742
501314.6801813150963-1.68018131509631
511010.9640930648647-0.964093064864686
52612.4678015836414-6.46780158364138
531212.4554858308938-0.455485830893791
54810.4946435264284-2.49464352642844
551412.43712613938791.56287386061212
561212.4676310161414-0.467631016141426
571110.78554174307670.214458256923304
581614.42030364255961.57969635744041
59810.2689305211847-2.26893052118467
601515.2952505273873-0.295250527387342
6179.46266661046707-2.46266661046707
621614.00237231220881.99762768779120
631413.71443195016930.285568049830749
641613.75324568004232.24675431995765
6599.92048663101368-0.920486631013682
661412.26412727035681.73587272964320
671113.0288160793959-2.02881607939594
681310.45046064144202.54953935855797
691512.98094922251352.01905077748645
7055.65526965476048-0.65526965476048
711512.47024103036072.52975896963932
721312.32445179165190.67554820834806
731112.0817378824939-1.08173788249391
741113.9752819157442-2.97528191574416
751212.4957196209476-0.495719620947646
761213.4197310247318-1.41973102473182
771212.2868539311207-0.28685393112073
781211.87613978984800.123860210151980
791410.78295490362943.21704509637059
8067.96886701447297-1.96886701447297
8179.82863683984184-2.82863683984184
821411.93300173470792.06699826529209
831413.83819796365530.161802036344738
841011.2090818273308-1.20908182733078
85138.682055822694514.31794417730549
861212.3827278226039-0.382727822603868
8799.32868069070524-0.328680690705235
881212.0243408260259-0.0243408260258719
891615.06504784719560.934952152804356
901010.2509351394506-0.250935139450646
911413.16019074401760.839809255982396
921013.5294557228591-3.52945572285908
931615.33809606560730.66190393439274
941513.44002046968781.55997953031224
951211.33980164952210.660198350477908
96109.723253692633710.276746307366286
97810.2113803731837-2.21138037318372
9888.5839638760142-0.583963876014196
991112.7817660837874-1.78176608378740
1001312.39728480532060.602715194679391
1011615.42617079724010.573829202759879
1021614.68871753382671.31128246617330
1031415.783120023334-1.78312002333400
104118.803925706069412.19607429393059
10546.86893251038793-2.86893251038793
1061414.5434362544404-0.543436254440421
107910.3345009862217-1.33450098622172
1081415.2838424010198-1.28384240101982
109810.4296687016322-2.42966870163224
110810.8611316540725-2.86113165407251
1111112.1750326425653-1.17503264256529
1121213.6138983132027-1.61389831320273
1131111.4453785390021-0.445378539002147
1141413.58963559195770.41036440804235
1151514.32847529221290.671524707787085
1161613.36635806857512.63364193142493
1171613.46240426150502.53759573849503
1181112.7046361347967-1.70463613479673
1191413.69141424712680.308585752873246
1201410.88286060345943.11713939654063
1211211.32873538945530.6712646105447
1221412.47463614583341.5253638541666
123810.1381161395181-2.13811613951814
1241313.7618095480229-0.76180954802293
1251613.65293790907622.34706209092383
1261210.83274703948361.16725296051639
1271615.37245274122530.627547258774659
1281213.2838711469848-1.28387114698484
1291111.3710149332596-0.371014933259569
13046.26171529119994-2.26171529119994
1311615.34680184919160.653198150808385
1321512.43025504409682.56974495590315
1331011.3339267659976-1.33392676599763
1341313.0801691844501-0.0801691844500615
1351513.10513981571461.89486018428544
1361210.50703824941291.49296175058711
1371413.47352631703670.526473682963345
138710.573267534394-3.573267534394
1391914.01178923936994.98821076063011
1401212.5715353979438-0.571535397943801
1411212.1641645992487-0.164164599248651
1421313.4008870456399-0.400887045639915
1431512.81961298509092.18038701490908
14488.14265477299094-0.142654772990940
1451210.78996003332141.21003996667862
1461010.7095121600920-0.709512160092034
147811.2805515789296-3.28055157892957
1481014.261451480109-4.261451480109
1491513.73720993191991.26279006808015
1501614.58906237437961.41093762562044
1511313.2420751468102-0.242075146810151
1521615.11311341385410.88688658614592
153910.6373404646853-1.63734046468531
1541413.57797942352520.422020576474804
1551413.10821070053430.891789299465702
1561210.52691182139671.47308817860326


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.07385393424063790.1477078684812760.926146065759362
110.1114121685982580.2228243371965160.888587831401742
120.07345787413724060.1469157482744810.92654212586276
130.548827345484510.902345309030980.45117265451549
140.7186992086308220.5626015827383550.281300791369178
150.6520904123102280.6958191753795450.347909587689772
160.5761124921378210.8477750157243570.423887507862179
170.489204168649930.978408337299860.51079583135007
180.4518794925294630.9037589850589270.548120507470537
190.3660004165063050.732000833012610.633999583493695
200.5100387405013010.9799225189973990.489961259498699
210.5164266747214250.967146650557150.483573325278575
220.5458465860458270.9083068279083470.454153413954173
230.4723615361310520.9447230722621040.527638463868948
240.4779454316082210.9558908632164430.522054568391779
250.4347313659746490.8694627319492980.565268634025351
260.3743861511192350.748772302238470.625613848880765
270.6200735979705190.7598528040589610.379926402029481
280.5749546427581560.8500907144836880.425045357241844
290.5197605362760810.9604789274478380.480239463723919
300.7117639701334920.5764720597330170.288236029866508
310.8125705987111380.3748588025777250.187429401288862
320.7768257167972980.4463485664054050.223174283202702
330.7307830950400260.5384338099199480.269216904959974
340.6978619859844220.6042760280311560.302138014015578
350.695750871668920.608498256662160.30424912833108
360.7084453286808880.5831093426382230.291554671319112
370.6753947060822270.6492105878355460.324605293917773
380.6263349167561530.7473301664876940.373665083243847
390.5728974113800880.8542051772398240.427102588619912
400.5435509648210210.9128980703579580.456449035178979
410.5020915590297390.9958168819405220.497908440970261
420.7575288156648850.4849423686702310.242471184335115
430.9563070475383710.0873859049232570.0436929524616285
440.9666834209797180.06663315804056360.0333165790202818
450.9562902741612520.08741945167749670.0437097258387484
460.9612254468567140.07754910628657180.0387745531432859
470.9806509822552610.03869803548947740.0193490177447387
480.974216525457870.05156694908426220.0257834745421311
490.9821366416463710.03572671670725690.0178633583536284
500.9792101509228930.04157969815421410.0207898490771071
510.974466745752570.05106650849486110.0255332542474306
520.9975974613516140.0048050772967720.002402538648386
530.9965345544845240.006930891030952280.00346544551547614
540.9971213461018360.00575730779632820.0028786538981641
550.997104513935850.005790972128298580.00289548606414929
560.9959130703232510.008173859353497150.00408692967674857
570.9942292340735850.01154153185282980.00577076592641488
580.9935649807290860.01287003854182850.00643501927091424
590.995147676804760.009704646390480470.00485232319524023
600.9936622767108020.01267544657839690.00633772328919846
610.994486780541910.01102643891617780.00551321945808888
620.9950416877703480.009916624459304080.00495831222965204
630.9933549103728010.01329017925439750.00664508962719873
640.9937154061575680.01256918768486380.0062845938424319
650.9920741012968070.01585179740638680.00792589870319338
660.9912330134799510.01753397304009720.00876698652004858
670.9911936554924380.01761268901512420.00880634450756212
680.992408603297750.01518279340450070.00759139670225035
690.992622989007230.01475402198553770.00737701099276885
700.9900354594781920.01992908104361620.0099645405218081
710.9915123445940230.01697531081195310.00848765540597653
720.9887447120094480.02251057598110490.0112552879905524
730.9858755355293720.0282489289412560.014124464470628
740.9896839541107110.02063209177857820.0103160458892891
750.9860649847109670.02787003057806630.0139350152890332
760.9838140106574770.03237197868504520.0161859893425226
770.9787572305813240.04248553883735130.0212427694186757
780.971898413430230.05620317313953980.0281015865697699
790.9819288397198160.03614232056036870.0180711602801844
800.9811711890934850.03765762181302920.0188288109065146
810.9844656187665860.03106876246682740.0155343812334137
820.9855315805793760.0289368388412480.014468419420624
830.9805481128186120.03890377436277650.0194518871813882
840.9760251948548720.04794961029025640.0239748051451282
850.9936147428220520.01277051435589670.00638525717794837
860.9911861584938160.01762768301236880.00881384150618442
870.9879374134762950.02412517304741030.0120625865237051
880.9841687718519260.03166245629614730.0158312281480737
890.9802669954503850.03946600909922930.0197330045496147
900.9739334460187770.05213310796244690.0260665539812234
910.968947376731810.06210524653637970.0310526232681899
920.9814832067207420.03703358655851690.0185167932792585
930.9760770990135980.04784580197280390.0239229009864019
940.9728246090977620.05435078180447630.0271753909022381
950.965979035563560.0680419288728820.034020964436441
960.9575439971121530.08491200577569440.0424560028878472
970.9535973701117690.09280525977646260.0464026298882313
980.9410287167714980.1179425664570050.0589712832285023
990.9353320342401170.1293359315197650.0646679657598827
1000.9214983733308720.1570032533382570.0785016266691284
1010.9026602897059450.1946794205881110.0973397102940554
1020.8886871692377960.2226256615244080.111312830762204
1030.89189046225240.2162190754951990.108109537747600
1040.9289292049938920.1421415900122150.0710707950061076
1050.9254569164493070.1490861671013860.0745430835506932
1060.905625300271350.1887493994573010.0943746997286506
1070.885230909702820.2295381805943590.114769090297179
1080.8795482157603140.2409035684793710.120451784239686
1090.8769714482726470.2460571034547060.123028551727353
1100.8967147050313440.2065705899373120.103285294968656
1110.8888188319459750.2223623361080510.111181168054025
1120.9265296027254040.1469407945491920.073470397274596
1130.9048660085096630.1902679829806750.0951339914903373
1140.8827618407216510.2344763185566970.117238159278349
1150.8565786521910780.2868426956178440.143421347808922
1160.8473604826302370.3052790347395250.152639517369763
1170.8451600678784470.3096798642431050.154839932121553
1180.8462139050526980.3075721898946040.153786094947302
1190.8140406528364670.3719186943270660.185959347163533
1200.8513210199907520.2973579600184960.148678980009248
1210.8189905159203930.3620189681592150.181009484079607
1220.790452367248020.4190952655039610.209547632751980
1230.7825107808871970.4349784382256050.217489219112803
1240.7467063561374270.5065872877251460.253293643862573
1250.7341309093665210.5317381812669570.265869090633479
1260.7153981521943160.5692036956113680.284601847805684
1270.6572114164685910.6855771670628180.342788583531409
1280.6292789849081680.7414420301836650.370721015091832
1290.6362651289010090.7274697421979830.363734871098991
1300.6400845547008640.7198308905982720.359915445299136
1310.5945461467446810.8109077065106370.405453853255319
1320.5531033495610240.8937933008779530.446896650438976
1330.5436999016228740.9126001967542520.456300098377126
1340.471346782798360.942693565596720.52865321720164
1350.4143155955371650.828631191074330.585684404462835
1360.3937028356181140.7874056712362270.606297164381886
1370.3207904510305650.641580902061130.679209548969435
1380.4116151689132430.8232303378264860.588384831086757
1390.7713645714642730.4572708570714540.228635428535727
1400.7637751011990890.4724497976018230.236224898800911
1410.7096114088818370.5807771822363270.290388591118163
1420.6233492404007720.7533015191984560.376650759599228
1430.559951555234120.8800968895317610.440048444765880
1440.4346622858536390.8693245717072780.565337714146361
1450.6995806556278060.6008386887443870.300419344372194
1460.8492485876772470.3015028246455060.150751412322753


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.0510948905109489NOK
5% type I error level420.306569343065693NOK
10% type I error level550.401459854014599NOK