Multiple Linear Regression - Estimated Regression Equation
Ihavemanyfriends[t] = + 0.0496203608625268 -0.0502689740190555sum[t] + 0.282977054518711Popularity[t] + 0.0269440633049747KnowingPeople[t] -0.0242599319071114Liked[t] -0.0409210098415009Celebrity[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.04962036086252680.2022780.24530.8065560.403278
sum-0.05026897401905550.032126-1.56480.1197610.059881
Popularity0.2829770545187110.01589217.806800
KnowingPeople0.02694406330497470.0168691.59730.112320.05616
Liked-0.02425993190711140.019572-1.23950.2171090.108555
Celebrity-0.04092100984150090.031395-1.30340.1944450.097222


Multiple Linear Regression - Regression Statistics
Multiple R0.895389490189128
R-squared0.801722339141146
Adjusted R-squared0.795068726360648
F-TEST (value)120.494288680425
F-TEST (DF numerator)5
F-TEST (DF denominator)149
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.404795214699169
Sum Squared Residuals24.4150157106586


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
133.53991480021537-0.539914800215375
233.06370032020287-0.0637003202028701
343.930031842130150.0699681578698532
433.00038942084032-0.000389420840319157
522.52656031685648-0.526560316856485
633.14285820848801-0.142858208488009
743.783583353100630.216416646899371
822.38504222021739-0.385042220217386
933.11816291921492-0.118162919214916
1042.915064850563211.08493514943679
1132.830556882337230.169443117662766
1232.794625403645640.205374596354361
1344.05284099526083-0.0528409952608306
1421.775122421149670.224877578850334
1522.71285819253768-0.712858192537684
1633.00488445586476-0.00488445586475642
1722.51164834912693-0.511648349126928
1843.630968182079140.369031817920857
1922.60876288533042-0.60876288533042
2011.48222293005130-0.482222930051305
2132.880161384494580.119838615505419
2243.843396032053510.156603967946485
2322.91824864578812-0.918248645788125
2433.10287221983954-0.102872219839538
2533.72345373592366-0.723453735923664
2643.964214210616910.0357857893830908
2732.195802678960310.804197321039694
2833.3871630271971-0.387163027197100
2943.392891838783760.607108161216239
3044.16561979478394-0.165619794783941
3143.462248222670480.537751777329523
3233.09687285892156-0.0968728589215549
3343.537094066820720.462905933179277
3432.825263428116550.174736571883446
3522.30782918289336-0.307829182893356
3644.19785731230960-0.197857312309595
3733.00844181503391-0.008441815033909
3822.52481120665165-0.524811206651652
3943.417151770690870.582848229309127
4044.1093514598469-0.109351459846902
4143.649859851190530.350140148809472
4243.989105240646280.0108947593537228
4321.162018826857030.837981173142966
4422.05086117048659-0.050861170486589
4532.767681340340660.232318659659336
4644.15063301847934-0.150633018479337
4754.402446691701540.597553308298461
4822.3733706734329-0.373370673432902
4932.291982193970770.708017806029232
5033.37131603827451-0.371316038274513
5122.37961216399992-0.379612163999918
5221.461507342160040.53849265783996
5333.09332851490571-0.093328514905708
5421.949388201255450.0506117987445524
5543.733811529869300.266188470130704
5633.10512099387142-0.105120993871420
5732.930355549938590.0696444500614104
5844.17359738040248-0.173597380402484
5912.01327357302010-1.01327357302010
6043.899393817659230.100606182340769
6121.778241909913510.221758090086489
6244.22211724421671-0.222117244216706
6343.82854585774570.171454142254301
6444.21394391784189-0.213943917841888
6522.14211029310663-0.142110293106632
6643.714105771746110.285894228253891
6722.8288077721324-0.828807772132401
6843.370937306628690.629062693371308
6943.909511994995160.0904880050048423
7011.29554632272428-0.295546322724285
7143.927108094122580.0728919058774222
7243.357534832494260.642465167505738
7332.767320791549730.23267920845027
7432.680564049291870.319435950708131
7533.03363676813405-0.0336367681340510
7633.11084980545808-0.110849805458081
7733.14908668390172-0.149086683901719
7833.09788268868963-0.0978826886896326
7943.649934659765570.350065340234425
8011.48323275981938-0.483232759819382
8131.713995989357931.28600401064207
8243.627469961669480.372530038330522
8333.55375514475511-0.553755144755113
8432.552569358968430.447430641031571
8543.352241378273580.647758621726417
8633.10454652146932-0.104546521469324
8722.30514505149549-0.305145051495492
8833.04574367228452-0.045743672284516
8944.10877698744481-0.108776987444805
9032.543221394790870.456778605209126
9143.546516839573330.453483160426675
9232.469431769301460.530568230698538
9344.13267637056098-0.132676370560983
9443.986725032319190.0132749676808122
9533.06825449398679-0.0682544939867946
9622.61051199553525-0.610511995535253
9711.81003890237160-0.810038902371603
9822.03614494351331-0.0361449435133078
9922.81665474437575-0.816654744375754
10033.31299467006187-0.312994670061868
10144.15962043386596-0.159620433865957
10244.12999223916312-0.129992239163119
10333.68298626630303-0.682986266303031
10432.758408184738160.241591815261844
10510.8912696086700170.108730391329983
10633.44134990917624-0.441349909176243
10732.330793544816500.669206455183498
10843.546442030998280.453557969001722
10922.04326231651387-0.0432623165138671
11021.978081374765250.0219186252347451
11132.864239586996950.135760413003053
11233.11657861704474-0.116578617044742
11332.736183103251760.263816896748235
11443.647989808804470.352010191195533
11543.792192036841430.207807963158571
11644.21849809162581-0.218498091625812
11744.26152876046308-0.26152876046308
11822.64369754940724-0.643697549407243
11933.60589416116023-0.605894161160229
12043.725398586884770.274601413115228
12133.13880369853113-0.138803698531134
12243.768928919549090.231071080450911
12321.903673401020320.0963265989796834
12443.34624201735560.6537579826444
12544.22211724421671-0.222117244216706
12633.00887717239989-0.00887717239989009
12744.08813620812859-0.0881362081285879
12833.18082453760032-0.180824537600323
12932.787026549672920.212973450327083
13011.05552512846779-0.0555251284677942
13144.04510553929132-0.0451055392913202
13243.878948779099290.121051220900711
13322.46588742528562-0.465887425285616
13433.22144413741038-0.221444137410377
13543.931901884516210.0680981154837921
13633.13156539334935-0.131565393349346
13743.652543982588390.347456017411609
13821.862693252419330.137306747580671
13955.06649423398891-0.0664942339889137
14033.10418597267839-0.104185972678390
14143.266285709874220.733714290125781
14233.36594777547879-0.365947775478786
14344.03881792511812-0.0388179251181231
14422.10312111907293-0.103121119072934
14533.13518454594024-0.135184545940240
14632.375993011409020.624006988590976
14721.907532170220920.092467829779084
148NANA0.0375348995879236
14944.12848274556799-0.128482745567992
15044.29901772352534-0.299017723525342
15133.12905721797009-0.129057217970089
15244.33021907241441-0.330219072414406
15321.570776771480440.429223228519564
15443.654414024974450.345585975025548
15544.21971069702110-0.219710697021105
1563NANA


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.07637492844870030.1527498568974010.9236250715513
100.7897130702693340.4205738594613310.210286929730666
110.7735615644846290.4528768710307430.226438435515371
120.6712506293495920.6574987413008150.328749370650408
130.6342168582773580.7315662834452840.365783141722642
140.6810951705095050.637809658980990.318904829490495
150.8519031688164550.2961936623670890.148096831183545
160.8030451209864220.3939097580271570.196954879013578
170.8305759602525610.3388480794948770.169424039747439
180.82790824564240.3441835087151990.172091754357600
190.8479657351605020.3040685296789950.152034264839498
200.8154657925832150.369068414833570.184534207416785
210.800129588590450.3997408228191010.199870411409551
220.7466819614719680.5066360770560640.253318038528032
230.8480456483195720.3039087033608560.151954351680428
240.8038858392756340.3922283214487320.196114160724366
250.87987401696820.2402519660635990.120125983031799
260.8429371578655230.3141256842689530.157062842134477
270.9219142737028450.1561714525943100.0780857262971552
280.909187721495620.181624557008760.09081227850438
290.9313923763985120.1372152472029760.0686076236014878
300.9100034936577660.1799930126844690.0899965063422344
310.9551242101108260.08975157977834780.0448757898891739
320.9398255513842470.1203488972315050.0601744486157527
330.9396755821705250.1206488356589510.0603244178294754
340.925812443276360.1483751134472800.0741875567236399
350.9101222788889430.1797554422221150.0898777211110573
360.8919026704308460.2161946591383080.108097329569154
370.8635241652168350.272951669566330.136475834783165
380.8608124255018720.2783751489962560.139187574498128
390.8845212062548420.2309575874903160.115478793745158
400.8584623714871660.2830752570256690.141537628512834
410.8484996698213380.3030006603573250.151500330178662
420.8154946725743350.369010654851330.184505327425665
430.9103135645791870.1793728708416260.089686435420813
440.8877800040990820.2244399918018370.112219995900918
450.868229185196440.2635416296071190.131770814803560
460.8429714510610060.3140570978779890.157028548938994
470.8855988253481030.2288023493037940.114401174651897
480.875166705895920.2496665882081600.124833294104080
490.913985970785950.1720280584280980.0860140292140492
500.9153882704017510.1692234591964980.084611729598249
510.9174841357129490.1650317285741030.0825158642870515
520.932614290379560.1347714192408790.0673857096204395
530.9162700292970470.1674599414059050.0837299707029527
540.8959526733773510.2080946532452980.104047326622649
550.8828166753500970.2343666492998050.117183324649903
560.8585492165961620.2829015668076770.141450783403838
570.830176060955050.33964787808990.16982393904495
580.8056864910529230.3886270178941540.194313508947077
590.9256563677048670.1486872645902650.0743436322951327
600.9100442019918370.1799115960163260.0899557980081628
610.897085852277420.2058282954451610.102914147722581
620.8815112983564150.2369774032871700.118488701643585
630.8609455740728680.2781088518542640.139054425927132
640.8423490037217780.3153019925564440.157650996278222
650.815305289831060.3693894203378790.184694710168940
660.7980382264572910.4039235470854180.201961773542709
670.881331634398690.2373367312026190.118668365601309
680.9084244021324880.1831511957350240.0915755978675119
690.8883408092445070.2233183815109850.111659190755493
700.880674485100660.2386510297986810.119325514899341
710.8578513624421070.2842972751157850.142148637557893
720.8918575363054090.2162849273891820.108142463694591
730.8759687342779820.2480625314440350.124031265722018
740.867721738604570.2645565227908610.132278261395431
750.840848052434430.318303895131140.15915194756557
760.8125522218479980.3748955563040050.187447778152002
770.7844498684807010.4311002630385980.215550131519299
780.7508740657349730.4982518685300540.249125934265027
790.7359443312183490.5281113375633020.264055668781651
800.7574742741723720.4850514516552560.242525725827628
810.9639583002446430.0720833995107130.0360416997553565
820.9615202125589590.07695957488208210.0384797874410411
830.9703766010278350.05924679794433060.0296233989721653
840.9727116352624020.05457672947519550.0272883647375977
850.9802350203296320.03952995934073570.0197649796703678
860.9741447668522050.05171046629558940.0258552331477947
870.971522305571270.056955388857460.02847769442873
880.9629318976822240.07413620463555260.0370681023177763
890.9534039803557780.09319203928844370.0465960196442218
900.9559959276737010.0880081446525980.044004072326299
910.9615519175176280.07689616496474420.0384480824823721
920.9727128504063840.05457429918723270.0272871495936164
930.9648639899378180.07027202012436330.0351360100621817
940.954112186270970.091775627458060.04588781372903
950.9414513926584350.1170972146831290.0585486073415647
960.961834493442050.07633101311590090.0381655065579505
970.9843128123418650.03137437531627020.0156871876581351
980.9793426144493670.04131477110126530.0206573855506326
990.9925893621190930.01482127576181410.00741063788090707
1000.9919030176761940.01619396464761130.00809698232380563
1010.9888992973524910.02220140529501790.0111007026475090
1020.9848998019199420.03020039616011510.0151001980800575
1030.9916489548293490.01670209034130290.00835104517065145
1040.9897508839842740.0204982320314510.0102491160157255
1050.9857083420697680.02858331586046480.0142916579302324
1060.9866315414182530.0267369171634940.013368458581747
1070.9938665102231540.01226697955369140.00613348977684568
1080.9947054435151490.01058911296970230.00529455648485116
1090.9921730727986750.01565385440265040.00782692720132518
1100.9886720019711020.02265599605779660.0113279980288983
1110.9845044214300630.03099115713987320.0154955785699366
1120.9791701550065390.04165968998692250.0208298449934613
1130.9751636968184870.04967260636302580.0248363031815129
1140.9745626041558480.05087479168830430.0254373958441522
1150.9698212733922150.06035745321556910.0301787266077846
1160.9625391173228570.07492176535428560.0374608826771428
1170.957352290742970.08529541851405950.0426477092570298
1180.972836094288680.05432781142264090.0271639057113204
1190.9863123007223030.02737539855539330.0136876992776967
1200.983656266942850.03268746611429970.0163437330571498
1210.977246050712110.04550789857578050.0227539492878903
1220.9703157799609790.05936844007804230.0296842200390212
1230.9580598207460890.08388035850782250.0419401792539112
1240.9812417265973760.03751654680524850.0187582734026242
1250.9757521610249390.04849567795012190.0242478389750609
1260.9639510713650130.07209785726997480.0360489286349874
1270.949130759394280.1017384812114380.0508692406057192
1280.9381776639149620.1236446721700770.0618223360850384
1290.9231054833738530.1537890332522940.0768945166261469
1300.9050116379566250.189976724086750.094988362043375
1310.8688048789130170.2623902421739650.131195121086983
1320.8283276472010640.3433447055978730.171672352798936
1330.8347513478947080.3304973042105840.165248652105292
1340.7991497693443680.4017004613112650.200850230655632
1350.7368142732400630.5263714535198740.263185726759937
1360.6723956961155750.6552086077688510.327604303884425
1370.6459223431671850.708155313665630.354077656832815
1380.5641763513083810.8716472973832380.435823648691619
1390.4725450688491170.9450901376982340.527454931150883
1400.3844843345671150.768968669134230.615515665432885
1410.9099753486458850.1800493027082310.0900246513541153
1420.8768515526320960.2462968947358080.123148447367904
1430.8706570749195970.2586858501608050.129342925080403
1440.7866679406672470.4266641186655060.213332059332753
1450.690515187497080.618969625005840.30948481250292
1460.5385351896925230.9229296206149540.461464810307477
1470.4299484199825760.8598968399651520.570051580017424


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level230.165467625899281NOK
10% type I error level460.330935251798561NOK