Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = + 0.184727929928006 + 0.102458915938333FindingFriends[t] + 0.241835431638645KnowingPeople[t] + 0.349828593066031Liked[t] + 0.637259261836313Celebrity[t] + 0.0988008593457305`Date `[t] -0.00641272300843145t + 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
KnowingPeople0.2418354316386450.0618463.91030.000147e-05
Liked0.3498285930660310.097953.57150.0004780.000239
Celebrity0.6372592618363130.1581234.03028.9e-054.4e-05
`Date `0.09880085934573050.1967060.50230.6162150.308107
t-0.006412723008431450.011948-0.53670.5922470.296123


Multiple Linear Regression - Regression Statistics
Multiple R0.707225438473912
R-squared0.500167820824617
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
11311.45432751177201.54567248822798
21211.1689618066660.83103819333401
31513.61171801936991.38828198063012
41210.89435484996581.10564515003424
51010.7288194829093-0.72881948290926
6129.277128366254972.72287163374504
71516.8349613115104-1.83496131151042
8910.5190753155630-1.51907531556296
91212.2876546666686-0.287654666668562
10117.982662029590823.01733797040918
111113.3158061960333-2.31580619603328
121112.1177715402679-1.11777154026790
131512.23098920461202.76901079538799
14711.2771808340937-4.27718083409372
151111.6859380696307-0.685938069630715
161110.95144439477280.0485556052271954
171012.0857079252257-2.08570792522574
181414.3434923850977-0.343492385097677
19108.777878393190971.22212160680903
2069.54495805583856-3.54495805583856
21118.684930963888942.31506903611106
221514.46223758954130.537762410458682
231111.6739988091688-0.673998809168755
24129.547930880219212.45206911978079
251413.45037732012460.549622679875371
261514.87466232365320.125337676346754
27914.6720094061378-5.67200940613781
281312.49203738693710.507962613062925
291313.2253428417033-0.225342841703290
301610.80077575300545.19922424699464
31138.490473639724084.50952636027592
321213.5959942573866-1.59599425738661
331414.4941565523869-0.494156552386905
341110.1142614634980.885738536501998
35910.5435335130268-1.54353351302678
361614.317671928211.68232807179001
371212.9627055313080-0.962705531308016
38109.224096545098130.775903454901866
391313.1151057097753-0.115105709775341
401615.27910889107860.720891108921397
411412.96290374805821.03709625194183
42158.102995852484576.89700414751543
4359.7866715130881-4.78667151308811
44810.4913532514399-2.49135325143995
451111.2757881888268-0.275788188826849
461613.81546907198002.18453092801998
471713.01820868857633.98179131142375
4898.508881924340850.491118075659152
49911.9300483545774-2.93004835457742
501314.6801813150963-1.68018131509631
511010.9640930648647-0.964093064864687
52612.4678015836414-6.46780158364138
531212.4554858308938-0.455485830893791
54810.4946435264284-2.49464352642843
551412.43712613938791.56287386061212
561212.4676310161414-0.467631016141424
571110.78554174307670.214458256923307
581614.42030364255961.57969635744041
59810.2689305211847-2.26893052118467
601515.2952505273873-0.295250527387342
6179.46266661046707-2.46266661046707
621614.00237231220881.9976276877912
631413.71443195016920.285568049830753
641613.75324568004232.24675431995765
6599.92048663101368-0.92048663101368
661412.26412727035681.73587272964320
671113.0288160793959-2.02881607939594
681310.45046064144202.54953935855797
691512.98094922251352.01905077748645
7055.65526965476048-0.655269654760477
711512.47024103036072.52975896963932
721312.32445179165190.675548208348061
731112.0817378824939-1.08173788249391
741113.9752819157442-2.97528191574416
751212.4957196209476-0.495719620947646
761213.4197310247318-1.41973102473182
771212.2868539311207-0.286853931120729
781211.87613978984800.123860210151982
791410.78295490362943.21704509637059
8067.96886701447297-1.96886701447297
8179.82863683984184-2.82863683984184
821411.93300173470792.06699826529209
831413.83819796365530.161802036344736
841011.2090818273308-1.20908182733077
85138.68205582269454.31794417730549
861212.3827278226039-0.382727822603868
8799.32868069070523-0.328680690705233
881212.0243408260259-0.0243408260258715
891615.06504784719560.934952152804355
901010.2509351394506-0.250935139450645
911413.16019074401760.839809255982394
921013.5294557228591-3.52945572285908
931615.33809606560730.661903934392739
941513.44002046968781.55997953031224
951211.33980164952210.660198350477909
96109.723253692633710.276746307366287
97810.2113803731837-2.21138037318372
9888.5839638760142-0.583963876014194
991112.7817660837874-1.78176608378739
1001312.39728480532060.60271519467939
1011615.42617079724010.573829202759878
1021614.68871753382671.31128246617330
1031415.783120023334-1.78312002333401
104118.80392570606942.19607429393059
10546.86893251038793-2.86893251038793
1061414.5434362544404-0.543436254440425
107910.3345009862217-1.33450098622172
1081415.2838424010198-1.28384240101982
109810.4296687016322-2.42966870163224
110810.8611316540725-2.86113165407251
1111112.1750326425653-1.17503264256529
1121213.6138983132027-1.61389831320273
1131111.4453785390021-0.44537853900215
1141413.58963559195770.410364408042348
1151514.32847529221290.671524707787082
1161613.36635806857512.63364193142493
1171613.46240426150502.53759573849503
1181112.7046361347967-1.70463613479673
1191413.69141424712680.308585752873245
1201410.88286060345943.11713939654063
1211211.32873538945530.6712646105447
1221412.47463614583341.5253638541666
123810.1381161395181-2.13811613951814
1241313.7618095480229-0.76180954802293
1251613.65293790907622.34706209092383
1261210.83274703948361.16725296051639
1271615.37245274122530.627547258774656
1281213.2838711469848-1.28387114698484
1291111.3710149332596-0.371014933259570
13046.26171529119994-2.26171529119994
1311615.34680184919160.653198150808382
1321512.43025504409682.56974495590315
1331011.3339267659976-1.33392676599763
1341313.0801691844501-0.080169184450065
1351513.10513981571461.89486018428544
1361210.50703824941291.49296175058711
1371413.47352631703670.526473682963344
138710.573267534394-3.573267534394
1391914.01178923936994.98821076063011
1401212.5715353979438-0.571535397943801
1411212.1641645992487-0.164164599248650
1421313.4008870456399-0.400887045639917
1431512.81961298509092.18038701490908
14488.14265477299094-0.142654772990937
1451210.78996003332141.21003996667861
1461010.7095121600920-0.709512160092038
147811.2805515789296-3.28055157892957
1481014.261451480109-4.261451480109
1491513.73720993191991.26279006808015
1501614.58906237437961.41093762562044
1511313.2420751468102-0.242075146810153
1521615.11311341385410.886886586145918
153910.6373404646853-1.63734046468531
1541413.57797942352520.422020576474805
1551413.10821070053430.891789299465703
1561210.52691182139671.47308817860326


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.07385393424063830.1477078684812770.926146065759362
110.1114121685982570.2228243371965150.888587831401742
120.07345787413724110.1469157482744820.926542125862759
130.548827345484510.902345309030980.45117265451549
140.7186992086308220.5626015827383550.281300791369178
150.6520904123102270.6958191753795450.347909587689773
160.5761124921378220.8477750157243560.423887507862178
170.489204168649930.978408337299860.51079583135007
180.4518794925294620.9037589850589240.548120507470538
190.3660004165063060.7320008330126130.633999583493694
200.5100387405013020.9799225189973950.489961259498698
210.5164266747214230.9671466505571550.483573325278577
220.5458465860458270.9083068279083460.454153413954173
230.4723615361310510.9447230722621030.527638463868949
240.4779454316082220.9558908632164440.522054568391778
250.4347313659746490.8694627319492980.565268634025351
260.3743861511192360.7487723022384720.625613848880764
270.620073597970520.7598528040589610.379926402029481
280.5749546427581560.8500907144836880.425045357241844
290.519760536276080.960478927447840.48023946372392
300.711763970133490.5764720597330210.288236029866510
310.8125705987111380.3748588025777250.187429401288862
320.7768257167972970.4463485664054060.223174283202703
330.7307830950400270.5384338099199460.269216904959973
340.6978619859844210.6042760280311580.302138014015579
350.6957508716689190.6084982566621620.304249128331081
360.7084453286808880.5831093426382250.291554671319112
370.6753947060822270.6492105878355450.324605293917773
380.6263349167561520.7473301664876960.373665083243848
390.572897411380090.854205177239820.42710258861991
400.543550964821020.912898070357960.45644903517898
410.502091559029740.9958168819405190.497908440970259
420.7575288156648840.4849423686702320.242471184335116
430.9563070475383710.08738590492325790.0436929524616289
440.9666834209797180.06663315804056340.0333165790202817
450.9562902741612520.08741945167749640.0437097258387482
460.9612254468567140.07754910628657160.0387745531432858
470.9806509822552610.03869803548947720.0193490177447386
480.9742165254578690.05156694908426240.0257834745421312
490.9821366416463710.03572671670725690.0178633583536285
500.9792101509228930.04157969815421440.0207898490771072
510.974466745752570.05106650849486090.0255332542474305
520.9975974613516140.004805077296772060.00240253864838603
530.9965345544845240.006930891030952370.00346544551547619
540.9971213461018360.005757307796328190.00287865389816409
550.997104513935850.005790972128298660.00289548606414933
560.9959130703232510.008173859353497090.00408692967674855
570.9942292340735850.01154153185282970.00577076592641486
580.9935649807290860.01287003854182850.00643501927091427
590.995147676804760.009704646390480430.00485232319524021
600.9936622767108020.01267544657839700.00633772328919849
610.9944867805419110.01102643891617780.00551321945808889
620.9950416877703480.009916624459304080.00495831222965204
630.9933549103728010.01329017925439760.00664508962719878
640.9937154061575680.01256918768486370.00628459384243185
650.9920741012968070.01585179740638680.00792589870319338
660.9912330134799510.01753397304009720.0087669865200486
670.9911936554924380.01761268901512390.00880634450756193
680.992408603297750.01518279340450080.0075913967022504
690.9926229890072310.01475402198553780.00737701099276888
700.9900354594781920.01992908104361640.0099645405218082
710.9915123445940230.01697531081195300.00848765540597649
720.9887447120094480.02251057598110490.0112552879905525
730.9858755355293720.02824892894125620.0141244644706281
740.989683954110710.02063209177857830.0103160458892892
750.9860649847109670.02787003057806640.0139350152890332
760.9838140106574780.03237197868504470.0161859893425223
770.9787572305813250.04248553883735090.0212427694186755
780.971898413430230.05620317313953930.0281015865697696
790.9819288397198150.0361423205603690.0180711602801845
800.9811711890934850.03765762181302950.0188288109065148
810.9844656187665860.03106876246682740.0155343812334137
820.9855315805793760.02893683884124820.0144684194206241
830.9805481128186120.03890377436277620.0194518871813881
840.9760251948548720.04794961029025640.0239748051451282
850.9936147428220520.01277051435589670.00638525717794835
860.9911861584938160.01762768301236880.00881384150618442
870.9879374134762950.02412517304741040.0120625865237052
880.9841687718519260.03166245629614760.0158312281480738
890.9802669954503850.03946600909922930.0197330045496146
900.9739334460187760.05213310796244730.0260665539812236
910.968947376731810.06210524653638010.0310526232681900
920.9814832067207420.03703358655851680.0185167932792584
930.9760770990135980.04784580197280370.0239229009864018
940.9728246090977620.05435078180447610.0271753909022380
950.9659790355635590.0680419288728820.034020964436441
960.9575439971121530.08491200577569460.0424560028878473
970.9535973701117680.09280525977646310.0464026298882316
980.9410287167714980.1179425664570030.0589712832285017
990.9353320342401170.1293359315197650.0646679657598827
1000.9214983733308720.1570032533382570.0785016266691284
1010.9026602897059450.1946794205881100.0973397102940552
1020.8886871692377960.2226256615244080.111312830762204
1030.8918904622524010.2162190754951980.108109537747599
1040.9289292049938920.1421415900122150.0710707950061076
1050.9254569164493070.1490861671013870.0745430835506933
1060.905625300271350.1887493994573010.0943746997286505
1070.8852309097028210.2295381805943580.114769090297179
1080.8795482157603150.2409035684793700.120451784239685
1090.8769714482726470.2460571034547060.123028551727353
1100.8967147050313450.2065705899373110.103285294968655
1110.8888188319459750.2223623361080500.111181168054025
1120.9265296027254040.1469407945491920.0734703972745962
1130.9048660085096630.1902679829806740.095133991490337
1140.8827618407216510.2344763185566970.117238159278349
1150.8565786521910780.2868426956178440.143421347808922
1160.8473604826302380.3052790347395250.152639517369762
1170.8451600678784480.3096798642431040.154839932121552
1180.8462139050526980.3075721898946030.153786094947302
1190.8140406528364660.3719186943270680.185959347163534
1200.8513210199907520.2973579600184960.148678980009248
1210.8189905159203930.3620189681592140.181009484079607
1220.790452367248020.4190952655039610.209547632751980
1230.7825107808871980.4349784382256030.217489219112802
1240.7467063561374270.5065872877251460.253293643862573
1250.7341309093665230.5317381812669550.265869090633477
1260.7153981521943160.5692036956113670.284601847805683
1270.6572114164685910.6855771670628170.342788583531409
1280.6292789849081650.741442030183670.370721015091835
1290.6362651289010080.7274697421979830.363734871098992
1300.6400845547008650.7198308905982710.359915445299135
1310.5945461467446810.8109077065106390.405453853255319
1320.5531033495610240.8937933008779530.446896650438976
1330.5436999016228740.9126001967542530.456300098377126
1340.4713467827983630.9426935655967250.528653217201637
1350.4143155955371650.828631191074330.585684404462835
1360.3937028356181140.7874056712362290.606297164381886
1370.3207904510305660.6415809020611320.679209548969434
1380.4116151689132420.8232303378264840.588384831086758
1390.7713645714642730.4572708570714550.228635428535727
1400.763775101199090.4724497976018210.236224898800910
1410.7096114088818370.5807771822363260.290388591118163
1420.6233492404007710.7533015191984570.376650759599229
1430.5599515552341190.8800968895317610.440048444765881
1440.4346622858536370.8693245717072750.565337714146363
1450.6995806556277830.6008386887444330.300419344372217
1460.8492485876772450.301502824645510.150751412322755


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