Multiple Linear Regression - Estimated Regression Equation
knowingpeople[t] = + 0.704773125332253 + 0.388112646909159popularity[t] -0.072086130850391findingfriends[t] + 0.267672517283153liked[t] + 0.6695223593835`celebrity `[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.7047731253322531.7973720.39210.6955280.347764
popularity0.3881126469091590.0976943.97270.000115.5e-05
findingfriends-0.0720861308503910.121313-0.59420.5532570.276628
liked0.2676725172831530.1250022.14130.0338510.016926
`celebrity `0.66952235938350.1998273.35050.0010190.00051


Multiple Linear Regression - Regression Statistics
Multiple R0.652918056368862
R-squared0.426301988332492
Adjusted R-squared0.411104690010174
F-TEST (value)28.0511693125378
F-TEST (DF numerator)4
F-TEST (DF denominator)151
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.65644680094332
Sum Squared Residuals1065.56315054255


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11410.30142763692773.69857236307227
2811.3244458396360-3.32444583963596
31214.1054959532972-2.10549595329718
4711.9425540742875-4.94255407428749
51010.1570477729521-0.157047772952123
679.71772860358581-2.71772860358581
71615.76362731407930.236372685920685
8118.955240504958682.04475949504132
91410.92259599753563.07740400246438
1069.62863754931304-3.62863754931304
111612.37813098534623.62186901465381
121111.3381830348271-0.33818303482715
131612.02552487664753.97447512335247
14128.302515466722733.69748453327727
15711.4616832904095-4.46168329040952
16139.7314657987773.268534201223
171110.9500703879180.049929612082009
181513.64529717553761.35470282446237
1978.88009424815192-1.88009424815192
2098.151333218483160.848666781516844
2179.14402450712748-2.14402450712748
221414.4352596645471-0.435259664547138
231510.20540177172774.79459822827226
24710.1195784456862-3.11957844568616
251512.77019349283782.22980650716222
261714.03340982244682.96659017755321
271512.10658378309222.89341621690782
281412.26857552722981.73142447277016
291412.86601175576291.13398824423705
30812.4750465851723-4.47504658517226
3189.84884580244664-1.84884580244664
321412.80766282010371.19233717989626
331413.97506088678760.0249391132124124
34810.5551553567449-2.55515535674487
35118.955240504958682.04475949504132
361614.15384995207281.84615004792720
371012.5293132335858-2.52931323358577
3889.83796113093699-1.83796113093699
391412.4541669767791.54583302322099
401615.09104482873950.908955171260549
411312.77019349283780.229806507162218
42510.8306524195813-5.83065241958131
4386.784681682670521.21531831732948
44108.906886506183061.09311349381694
45811.4102691656775-3.41026916567754
461314.5556997941731-1.55569979417314
471513.60476772231531.39523227768470
4867.93596456055805-1.93596456055805
491210.23219402975891.76780597024112
501613.18509839777812.81490160222192
51511.2177429052011-6.21774290520115
52159.346205675549375.65379432445063
531211.59211835691910.407881643080883
5489.10247289261583-1.10247289261583
551312.02858500260390.971414997396109
561411.39653197048642.60346802951365
571210.21539670861131.78460329138868
581614.56569473105671.43430526894327
59108.370859339265531.62914066073448
601515.1047820239306-0.104782023930638
6187.777165369040010.222834630959986
621613.81409130393932.18590869606075
631912.71877936810586.2812206318942
641414.1538499520728-0.153849952072798
65610.1086937741765-4.10869377417651
661312.10067113345430.899328866545718
671511.33818303482713.66181696517285
68711.4448859692620-4.44488596926197
691313.1583061397469-0.158306139746941
7044.31353783315534-0.313537833155342
711412.56086991121381.43913008878617
721311.71255848654511.28744151345488
731111.2760918408603-0.276091840860348
741413.10906240634530.890937593654738
751212.1381404607202-0.138140460720245
761511.99396819901953.00603180098054
771410.98468719150243.01531280849758
781311.61279036303751.38720963696247
79811.6988212913539-3.69882129135394
8066.4518578454642-0.451857845464202
8178.44668772842351-1.44668772842351
821312.93503776065700.0649622393430256
831313.6452971755376-0.645297175537633
841110.42472029023530.575279709764726
85510.1058412504950-5.10584125049497
861211.65420955088590.345790449114081
8788.75965411852592-0.759654118525917
881112.2202215284542-1.22022152845422
891415.4928946708398-1.49289467083980
9099.68311180000138-0.683111800001383
911013.6452971755376-3.64529717553763
921311.82517407061781.17482592938216
931615.01895869788910.98104130211094
941613.30247840144772.69752159855228
951111.1288594532032-0.128859453203201
9689.34335315186784-1.34335315186784
97410.8019482656348-6.80194826563478
9877.55784685053248-0.557846850532477
991411.76002275069472.23997724930533
1001112.3820808459286-1.38208084592862
1011715.09104482873951.90895517126055
1021514.75128618060590.248713819394094
1031713.96438381755283.03561618244723
10459.74146073566059-4.74146073566059
10545.55213229606351-1.55213229606351
1061014.8401696326038-4.84016963260385
107118.965235441842272.03476455815773
1081514.71666937702150.283330622978522
109108.844795312216261.15520468778374
11099.99824858143409-0.998248581434088
1111211.34817797171070.651822028289261
1121512.95183508180452.04816491819547
113711.6058555521103-4.6058555521103
1141313.3055385274041-0.305538527404088
1151214.6308460509799-2.6308460509799
1161413.88617743478960.113822565210355
1171413.81409130393930.185908696060746
118812.4088731039598-4.40887310395976
1191513.03786601012091.96213398987907
1201211.23556238763800.76443761236198
1211210.65492348025251.34507651974754
1221611.90508474702154.09491525297848
12398.906886506183060.0931134938169358
1241512.57766723236142.42233276763862
1251513.81409130393931.18590869606075
126611.5921183569191-5.59211835691912
1271415.6884810572726-1.68848105727256
1281511.99396819901953.00603180098054
1291011.4923502334115-1.49235023341152
13065.429314172832370.570685827167625
1311415.6884810572726-1.68848105727256
1321213.2303922705973-1.23039227059733
133810.6817157382836-2.68171573828360
1341112.8453397496445-1.84533974964454
1351313.4259786570301-0.425978657030094
136910.6549234802525-1.65492348025246
1371513.10995214097131.89004785902867
138137.777165369040015.22283463095999
1391515.2461017619499-0.246101761949885
1401411.73629061861992.2637093813801
1411610.72700961110295.27299038889714
1421412.64975336321181.35024663678822
1431412.62227897282941.3777210271706
144107.372937533334542.62706246666546
1451010.6549234802525-0.654923480252464
146411.1456567743508-7.14565677435075
147810.0396677692825-2.03966776928248
1481511.53682954721633.46317045278372
1491613.49806478788052.50193521211951
1501215.4208085399894-3.42080853998941
1511213.1236893361625-1.12368933616251
1521515.0189586978891-0.0189586978890594
15399.29499915309222-0.294999153092224
1541213.4497107891049-1.44971078910487
1551412.57460710640501.42539289359498
156119.6556374096191.34436259038099


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.7145996386527610.5708007226944780.285400361347239
90.5680701472478390.8638597055043220.431929852752161
100.5097718062748350.980456387450330.490228193725165
110.3850670446601130.7701340893202270.614932955339887
120.3666322931279430.7332645862558870.633367706872057
130.9416475899962980.1167048200074030.0583524100037016
140.9282163373278010.1435673253443980.071783662672199
150.949415775116110.1011684497677790.0505842248838893
160.950821383184350.09835723363129820.0491786168156491
170.9288216903170.1423566193660020.0711783096830009
180.9011254529546430.1977490940907140.0988745470453571
190.8712714740373790.2574570519252420.128728525962621
200.828873792791710.3422524144165790.171126207208289
210.8735288378056180.2529423243887650.126471162194382
220.832831761666720.3343364766665590.167168238333279
230.9114286570029010.1771426859941970.0885713429970986
240.917329789424320.1653404211513580.0826702105756792
250.909597354285370.1808052914292620.0904026457146308
260.9068302964757660.1863394070484690.0931697035242343
270.894257865407480.2114842691850390.105742134592519
280.8727122182771760.2545755634456490.127287781722824
290.8411916619543420.3176166760913150.158808338045657
300.8847822509605740.2304354980788520.115217749039426
310.8583004756682520.2833990486634970.141699524331748
320.8264258131464990.3471483737070020.173574186853501
330.7870371217066290.4259257565867420.212962878293371
340.785416935840630.4291661283187410.214583064159371
350.7567581996542670.4864836006914650.243241800345733
360.7364980491201930.5270039017596140.263501950879807
370.7529203801921860.4941592396156280.247079619807814
380.7221204848095050.5557590303809890.277879515190495
390.6883910515278890.6232178969442220.311608948472111
400.6425733981098620.7148532037802760.357426601890138
410.5907035369457590.8185929261084820.409296463054241
420.7103654207248960.5792691585502070.289634579275104
430.6764340812426570.6471318375146870.323565918757343
440.6315698100875950.7368603798248090.368430189912405
450.6749657995754640.6500684008490720.325034200424536
460.6395101285828250.720979742834350.360489871417175
470.6211913139471510.7576173721056980.378808686052849
480.591331501464130.817336997071740.40866849853587
490.5557561408850350.888487718229930.444243859114965
500.5468435792652520.9063128414694960.453156420734748
510.7749048053930790.4501903892138420.225095194606921
520.8735641797638130.2528716404723730.126435820236187
530.8465615444714570.3068769110570860.153438455528543
540.828864022009330.3422719559813390.171135977990669
550.8028806277678090.3942387444643830.197119372232191
560.7996752257061460.4006495485877080.200324774293854
570.7787694283266840.4424611433466320.221230571673316
580.7487020117560430.5025959764879130.251297988243957
590.7199062034788830.5601875930422340.280093796521117
600.6790695801741370.6418608396517260.320930419825863
610.6381895024680160.7236209950639690.361810497531984
620.6264399370657080.7471201258685840.373560062934292
630.8089525707395750.3820948585208490.191047429260424
640.7752930586734340.4494138826531320.224706941326566
650.8272916599610930.3454166800778140.172708340038907
660.7986997444891240.4026005110217510.201300255510876
670.8281254424716720.3437491150566560.171874557528328
680.8784525652937730.2430948694124540.121547434706227
690.8533846666233380.2932306667533240.146615333376662
700.8284237851769550.3431524296460890.171576214823045
710.805572304037940.3888553919241190.194427695962060
720.7783559433976760.4432881132046480.221644056602324
730.7442457554037480.5115084891925030.255754244596252
740.7206475592472220.5587048815055550.279352440752778
750.6807793231458960.6384413537082080.319220676854104
760.6928900633373990.6142198733252020.307109936662601
770.7017995760017440.5964008479965120.298200423998256
780.6710601757750120.6578796484499760.328939824224988
790.7243416415520760.5513167168958480.275658358447924
800.6850870963683060.6298258072633880.314912903631694
810.6563396876724240.6873206246551510.343660312327576
820.6122679114624830.7754641770750330.387732088537517
830.5719960113046380.8560079773907240.428003988695362
840.5289280996403760.9421438007192490.471071900359624
850.7053056425858960.5893887148282090.294694357414104
860.6643937613254590.6712124773490830.335606238674541
870.6264463355564790.7471073288870430.373553664443521
880.5899814571590060.8200370856819890.410018542840994
890.5608440933499590.8783118133000830.439155906650041
900.5186984961315560.9626030077368880.481301503868444
910.5621024339427880.8757951321144240.437897566057212
920.5509301365529740.8981397268940520.449069863447026
930.5121004183706690.9757991632586620.487899581629331
940.5055428052191360.9889143895617280.494457194780864
950.4585091461353250.917018292270650.541490853864675
960.431276621687790.862553243375580.56872337831221
970.6464459681073890.7071080637852230.353554031892611
980.6066586005044860.7866827989910270.393341399495514
990.6030198171387530.7939603657224950.396980182861247
1000.5699729015758050.860054196848390.430027098424195
1010.5559336180220220.8881327639559560.444066381977978
1020.5082389870281970.9835220259436060.491761012971803
1030.5698759275723110.8602481448553780.430124072427689
1040.741006313129750.51798737374050.25899368687025
1050.7333515659390.5332968681219990.266648434060999
1060.7823678452162740.4352643095674510.217632154783726
1070.7570148048662460.4859703902675080.242985195133754
1080.7380218615923090.5239562768153820.261978138407691
1090.7006052600213530.5987894799572940.299394739978647
1100.6558852817981860.6882294364036280.344114718201814
1110.612525693994440.774948612011120.38747430600556
1120.6522522313156710.6954955373686580.347747768684329
1130.7298049222349370.5403901555301250.270195077765063
1140.683556246656150.63288750668770.31644375334385
1150.6580925587156080.6838148825687830.341907441284392
1160.6066104190759040.7867791618481920.393389580924096
1170.5545188402967460.8909623194065090.445481159703254
1180.581190253963280.837619492073440.41880974603672
1190.5547849312370870.8904301375258250.445215068762913
1200.5139591236749590.9720817526500820.486040876325041
1210.4603710707946920.9207421415893840.539628929205308
1220.48198857772030.96397715544060.5180114222797
1230.4232889172502490.8465778345004980.576711082749751
1240.4163469969037570.8326939938075140.583653003096243
1250.3640991021673960.7281982043347920.635900897832604
1260.5856095645007660.8287808709984680.414390435499234
1270.5292860160177570.9414279679644860.470713983982243
1280.5635022245703780.8729955508592430.436497775429621
1290.5075581914273640.9848836171452730.492441808572636
1300.4535934823311420.9071869646622840.546406517668858
1310.394027869139210.788055738278420.60597213086079
1320.3493974628418790.6987949256837580.650602537158121
1330.3586031415474150.717206283094830.641396858452585
1340.3099869360355810.6199738720711620.690013063964419
1350.2499549534422990.4999099068845990.7500450465577
1360.2684968551574710.5369937103149420.731503144842529
1370.2365551371059230.4731102742118470.763444862894077
1380.2923272839671030.5846545679342070.707672716032897
1390.2556241376911290.5112482753822580.744375862308871
1400.2528684215175830.5057368430351650.747131578482417
1410.3674713016098600.7349426032197190.63252869839014
1420.3134351797151160.6268703594302320.686564820284884
1430.2325764422250330.4651528844500660.767423557774967
1440.2116081899614620.4232163799229230.788391810038538
1450.1645633594167800.3291267188335610.83543664058322
1460.7731206690361120.4537586619277770.226879330963888
1470.6598779665461340.6802440669077320.340122033453866
1480.7149845033866550.570030993226690.285015496613345


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level10.00709219858156028OK