Multiple Linear Regression - Estimated Regression Equation
blogged_computations[t] = -0.486855081867207 + 7.84113051492784e-05totsize[t] + 0.0136967037928229pageviews[t] + 5.61702494938571e-05time_in_rfc[t] -0.148137916968729logins[t] + 0.434166191003772tothyperlinks[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.4868550818672072.355312-0.20670.8364190.41821
totsize7.84113051492784e-054.3e-051.82520.0692480.034624
pageviews0.01369670379282290.0033714.06356.6e-053.3e-05
time_in_rfc5.61702494938571e-053.5e-051.61860.1068770.053438
logins-0.1481379169687290.045064-3.28730.0011660.000583
tothyperlinks0.4341661910037720.03980210.908300


Multiple Linear Regression - Regression Statistics
Multiple R0.904990853677626
R-squared0.819008445240159
Adjusted R-squared0.815157561096332
F-TEST (value)212.680624669834
F-TEST (DF numerator)5
F-TEST (DF denominator)235
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation16.2540871493014
Sum Squared Residuals62085.9070284146


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
17993.8103912593377-14.8103912593377
25861.2827448798881-3.28274487988812
3121125.853291187068-4.85329118706768
44368.6290672440803-25.6290672440803
5102104.054126835312-2.05412683531186
68282.9670565215811-0.967056521581078
710191.03035230027089.96964769972916
85056.8153678709716-6.81536787097159
98184.8589989168846-3.85899891688458
109486.31045717142077.68954282857935
114483.3299971549293-39.3299971549293
12107122.166072979003-15.1660729790028
133333.1315357045045-0.131535704504465
144240.44560977055781.55439022944217
155657.2108109557443-1.21081095574428
165956.40905722405752.59094277594246
179186.74068630362234.25931369637775
182727.3466659472059-0.346665947205908
19105126.908764877021-21.9087648770206
206771.5188623914301-4.51886239143008
2111495.350444784211618.6495552157884
226977.097963865809-8.09796386580903
2310577.809107667019727.1908923329803
248892.9346566741757-4.93465667417574
256761.4568576509615.54314234903903
26124109.32818679316214.6718132068376
27110105.6451459948474.35485400515349
28130165.362975565093-35.3629755650927
299371.908842113851221.0911578861488
303930.45986003592088.54013996407918
312849.0767778930616-21.0767778930616
322827.29107110670370.708928893296261
334440.74312339533593.25687660466409
34116129.235209693833-13.2352096938328
351220.3592921009184-8.35929210091841
361822.6522121489388-4.65221214893877
373237.0692649586996-5.06926495869963
382555.8294062956478-30.8294062956478
39129121.8202994590827.17970054091829
405957.70056674224961.29943325775037
413639.5586779881377-3.55867798813766
42113114.940397138934-1.9403971389342
434752.6834205727633-5.68342057276333
449281.750405994020510.2495940059795
455039.480507339513710.5194926604863
46111116.622326484113-5.62232648411333
47120102.09929613040717.9007038695934
48131108.55034795217722.4496520478229
494535.56710961123149.4328903887686
505825.388666445509432.6113335544906
5106.8171143543961-6.8171143543961
522121.6531383193512-0.653138319351249
535045.24691126453044.75308873546963
541225.4432327224602-13.4432327224602
552125.8090838331963-4.80908383319627
5688.04434844174924-0.0443484417492351
573729.94472626274417.05527373725594
582926.98526669934262.01473330065738
593229.37553635811522.6244636418848
603535.6378012006632-0.637801200663211
611727.6484585114753-10.6484585114753
626071.4502222387953-11.4502222387953
636962.8798243663786.12017563362199
647886.1871351852478-8.18713518524779
654448.2307312964838-4.23073129648382
66158118.73386868894939.2661313110509
677772.12669292660914.87330707339089
688095.4206746069918-15.4206746069918
6912388.96756088346534.032439116535
707369.46683825527953.53316174472048
7110578.453417574611726.5465824253883
724744.05865317482112.94134682517889
738487.4607638106848-3.46076381068484
7400.0570442327248078-0.0570442327248078
759688.64753513598847.35246486401161
765764.0744176834883-7.07441768348826
773945.5502604193663-6.55026041936634
787698.6606170074392-22.6606170074392
797668.86489849155617.13510150844385
8087.61575658954550.384243410454502
817983.8327533838049-4.83275338380493
82101103.251299537683-2.25129953768324
8394125.858076154151-31.8580761541509
84123112.22035256221110.7796474377895
854172.8271169156061-31.8271169156061
867265.60910863126646.39089136873361
877574.98722339487860.012776605121417
882224.1979365023539-2.19793650235388
897358.488213182359714.5117868176403
906258.34289222756913.65710777243093
91118107.17697313149310.8230268685073
9210090.92736138460429.07263861539585
932435.3735032204461-11.3735032204461
944635.532719225540410.4672807744596
955771.9732514586826-14.9732514586826
96135104.32743695419530.6725630458053
973351.9275970426602-18.9275970426602
989882.693023342911815.3069766570882
995892.0350356142966-34.0350356142967
1006875.2452142115851-7.24521421158513
101131120.38887118754410.6111288124557
1023736.22129293502820.778707064971827
103118118.103874311664-0.103874311664067
1048197.2665070863572-16.2665070863572
1055162.3362167017388-11.3362167017389
1064037.15435105414562.84564894585444
1075652.49508222855893.5049177714411
1082720.89108662780536.10891337219467
1098348.279049492178734.7209505078213
1105954.63440922376664.36559077623344
11113393.687468282807439.3125317171926
112129.543022619785212.45697738021479
11310669.423871860076336.5761281399237
1147175.1589770596686-4.1589770596686
11545.42987747721699-1.42987747721699
1166275.1786172542513-13.1786172542513
1171413.31236218109110.687637818908941
1186059.35740858492140.642591415078636
1199888.18635264326069.81364735673939
12010099.4117947417520.588205258247971
1214535.93640588871179.06359411128833
122136157.453449263361-21.4534492633609
1236354.17840571739388.82159428260622
1241428.0520229075547-14.0520229075547
1254158.3502218045013-17.3502218045013
12691100.667903602187-9.6679036021869
1274137.65184503201243.34815496798761
1282523.92636935793721.0736306420628
1292930.4259575896842-1.42595758968422
1304768.6117569299487-21.6117569299487
1313732.23101335081684.76898664918324
1322633.4583470804312-7.45834708043115
1333820.472738734206717.5272612657933
1342335.2376000988917-12.2376000988917
1353030.3175819805205-0.317581980520529
1361833.2519319157189-15.2519319157189
1372847.9214107175318-19.9214107175318
1381218.6478469409564-6.64784694095637
1392739.8137058477638-12.8137058477638
1404140.35474461363270.645255386367324
1412619.91443511201916.08556488798088
1422721.29315065838785.70684934161217
143107.541883043715542.45811695628446
1441014.7024005352555-4.70240053525546
1451727.0130203781099-10.0130203781099
14610892.697727242895415.3022727571046
1474942.33976426867946.66023573132058
148027.4179963268878-27.4179963268878
14917.75046428710267-6.75046428710267
1502025.7169751983152-5.71697519831515
1518657.913141711744928.0868582882551
15210498.30401214505875.69598785494128
1536360.96593567602922.03406432397085
154115101.7779603570213.2220396429797
1558374.11350416926388.88649583073623
15610586.153433430747818.8465665692522
15711488.958044778979925.0419552210201
1583827.288399331811310.7116006681887
1593028.86245262516781.13754737483217
1607163.54602126529067.45397873470936
1615960.497006763539-1.49700676353902
16210693.443666760571912.5563332394281
1633448.7433243969413-14.7433243969413
1642021.9987143901437-1.99871439014374
165115125.908018102495-10.9080181024947
1668580.89553422822474.1044657717753
1672122.5076995108541-1.50769951085406
16892139.289007905484-47.2890079054836
1697561.36315147557613.636848524424
170128117.71249220405110.2875077959488
1715557.3625763982632-2.3625763982632
1725679.954073678377-23.954073678377
17311857.198160438387660.8018395616124
1747772.79025537126194.20974462873812
1756667.6874643748084-1.68746437480843
17611686.153402901044629.8465970989554
1779966.607073035823532.3929269641765
1785345.75913183904427.24086816095579
1793035.9402811949393-5.94028119493931
1804942.32858969033176.6714103096683
1817558.865686648866916.1343133511331
1826861.66655897558066.33344102441935
1838199.6049609345068-18.6049609345068
1841332.8207093131563-19.8207093131563
1857457.980536053800716.0194639461993
18610980.357043244989328.6429567550107
18715190.376735319416260.6232646805838
1883754.6162002780835-17.6162002780835
1895475.9178560573292-21.9178560573292
1902723.33855481301313.66144518698695
19109.01293176863455-9.01293176863455
1922321.97561030833531.0243896916647
193721.6738539562544-14.6738539562544
1946469.3297015305906-5.32970153059061
1952931.785194680214-2.78519468021401
1961612.03723484581273.96276515418735
1974854.0814362640109-6.08143626401094
1984686.0332144797972-40.0332144797972
19913098.270154722141131.7298452778589
2002540.4708045329318-15.4708045329318
2013233.913895836684-1.91389583668404
20295130.439981356663-35.4399813566634
2037078.1952527269403-8.19525272694033
2041949.1262879708318-30.1262879708318
20513565.822644408715469.1773555912846
2062743.8074688069873-16.8074688069873
2078795.3822170590454-8.38221705904544
20844.33511430405859-0.335114304058585
2092840.9148691356791-12.9148691356791
2101619.8687883367731-3.8687883367731
2112224.069738800075-2.069738800075
2121621.6155102454425-5.61551024544247
2133220.026265014362811.9737349856372
2142331.0381584281924-8.03815842819241
2152935.4233748172224-6.42337481722243
2162129.6353225890206-8.63532258902061
2171822.5167337144245-4.51673371442454
218138.394872938549354.60512706145065
2191311.61045746345051.38954253654948
2201610.86685593112065.13314406887938
22127.77963222930107-5.77963222930107
2224230.405375345169811.5946246548302
22358.09007876901183-3.09007876901183
2243727.51979913356849.48020086643156
2251722.3004666391314-5.30046663913136
2263831.86251910891766.13748089108236
2271738.6942958144546-21.6942958144546
2282019.90459859729520.0954014027047772
229710.4451386076954-3.44513860769543
2304635.166847952223310.8331520477767
2312421.14276014790292.85723985209712
2324024.797916686145615.2020833138544
233311.9747273416047-8.97472734160474
2343735.88207451457271.1179254854273
2352828.9661782594369-0.966178259436922
2361925.4989706907821-6.49897069078213
2372933.7949590485259-4.79495904852586
23889.6674063421277-1.6674063421277
2391525.5464933736273-10.5464933736273
2401518.6715305486971-3.67153054869706
2412841.9053854021144-13.9053854021144


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.2413548808216830.4827097616433660.758645119178317
100.3784888999718930.7569777999437860.621511100028107
110.7133175604211890.5733648791576210.286682439578811
120.6014594383716140.7970811232567720.398540561628386
130.5053530526857680.9892938946284650.494646947314232
140.510040222833330.979919554333340.48995977716667
150.4079901929210930.8159803858421860.592009807078907
160.316392149020740.6327842980414810.68360785097926
170.3115160062405850.623032012481170.688483993759415
180.2354943736674840.4709887473349680.764505626332516
190.1863732014934520.3727464029869030.813626798506549
200.1345290953501860.2690581907003720.865470904649814
210.2828300376409150.5656600752818290.717169962359085
220.2232040342016210.4464080684032430.776795965798379
230.3937902103888090.7875804207776180.606209789611191
240.3261042160236250.6522084320472510.673895783976375
250.2855507733758770.5711015467517540.714449226624123
260.2793325270016080.5586650540032160.720667472998392
270.2547070825767330.5094141651534650.745292917423267
280.3688782421847950.7377564843695890.631121757815205
290.4306504657699150.8613009315398290.569349534230085
300.3750346312234150.750069262446830.624965368776585
310.3528582370457240.7057164740914490.647141762954276
320.3009278892508720.6018557785017440.699072110749128
330.2508688812315060.5017377624630130.749131118768493
340.2273532442959390.4547064885918770.772646755704061
350.2017811882568990.4035623765137970.798218811743101
360.1732660008722790.3465320017445590.826733999127721
370.1413748038715620.2827496077431230.858625196128438
380.1997477006993230.3994954013986460.800252299300677
390.1803807975121130.3607615950242270.819619202487887
400.1471076426050960.2942152852101920.852892357394904
410.1235921688700040.2471843377400080.876407831129996
420.0986521940737630.1973043881475260.901347805926237
430.07998098225372380.1599619645074480.920019017746276
440.07002129567409730.1400425913481950.929978704325903
450.05693718714611510.113874374292230.943062812853885
460.04443250210664660.08886500421329320.955567497893353
470.05463615321335190.1092723064267040.945363846786648
480.0967825056004310.1935650112008620.903217494399569
490.0796378748341250.159275749668250.920362125165875
500.1568983401882730.3137966803765460.843101659811727
510.1427188189476960.2854376378953920.857281181052304
520.1174777701627530.2349555403255070.882522229837247
530.09656343927369750.1931268785473950.903436560726303
540.1028866348726350.2057732697452690.897113365127365
550.08788213480513410.1757642696102680.912117865194866
560.07078366973637280.1415673394727460.929216330263627
570.0583252302603560.1166504605207120.941674769739644
580.04596643530390790.09193287060781580.954033564696092
590.0359358136414730.07187162728294590.964064186358527
600.0277193193905970.0554386387811940.972280680609403
610.02492534095767250.04985068191534510.975074659042327
620.02146289619547930.04292579239095860.978537103804521
630.01714387931603440.03428775863206890.982856120683966
640.01476037670214020.02952075340428040.98523962329786
650.01132514820334380.02265029640668760.988674851796656
660.0272426121777840.05448522435556810.972757387822216
670.02114608121826510.04229216243653020.978853918781735
680.02334180637269860.04668361274539720.976658193627301
690.04106968726942770.08213937453885530.958930312730572
700.03287811604244760.06575623208489510.967121883957552
710.05440791060043290.1088158212008660.945592089399567
720.04374389735684430.08748779471368870.956256102643156
730.03695230819915190.07390461639830370.963047691800848
740.02917639958865790.05835279917731580.970823600411342
750.02347913351465140.04695826702930290.976520866485349
760.02696130396183830.05392260792367660.973038696038162
770.02187784202911730.04375568405823460.978122157970883
780.03548812319585480.07097624639170960.964511876804145
790.02951275748146540.05902551496293090.970487242518535
800.02324827204799910.04649654409599820.976751727952001
810.02126064279882510.04252128559765030.978739357201175
820.01699539225741610.03399078451483210.983004607742584
830.04176645122065470.08353290244130950.958233548779345
840.03673418718832550.07346837437665090.963265812811675
850.06324019629904070.1264803925980810.936759803700959
860.05325578749567130.1065115749913430.946744212504329
870.04356525813797880.08713051627595750.956434741862021
880.03538358928207060.07076717856414120.964616410717929
890.04712012530315280.09424025060630570.952879874696847
900.03867325433734580.07734650867469160.961326745662654
910.03573159785160930.07146319570321860.964268402148391
920.03083412976975110.06166825953950210.969165870230249
930.02785952662184350.0557190532436870.972140473378156
940.02433927277496740.04867854554993470.975660727225033
950.02392200795427490.04784401590854990.976077992045725
960.04233060828099520.08466121656199040.957669391719005
970.04589382395232480.09178764790464970.954106176047675
980.0456604626796910.0913209253593820.954339537320309
990.08458445135626270.1691689027125250.915415548643737
1000.07353973971979630.1470794794395930.926460260280204
1010.0676800230436480.1353600460872960.932319976956352
1020.05609446191189490.112188923823790.943905538088105
1030.04625303921672820.09250607843345630.953746960783272
1040.04968681050955610.09937362101911220.950313189490444
1050.04457014527431860.08914029054863710.955429854725681
1060.03669336280595350.0733867256119070.963306637194047
1070.02999247943778040.05998495887556080.97000752056222
1080.02507825154807520.05015650309615030.974921748451925
1090.0544783460997190.1089566921994380.945521653900281
1100.04545082664304110.09090165328608220.954549173356959
1110.1115131306300020.2230262612600050.888486869369998
1120.09488448857288290.1897689771457660.905115511427117
1130.1761415202985710.3522830405971420.823858479701429
1140.1547959394114840.3095918788229680.845204060588516
1150.1337541315106870.2675082630213750.866245868489313
1160.1277887594417890.2555775188835780.872211240558211
1170.1096100250777280.2192200501554570.890389974922272
1180.09343275625025130.1868655125005030.906567243749749
1190.08438427430393270.1687685486078650.915615725696067
1200.07158162685005610.1431632537001120.928418373149944
1210.06363857567343280.1272771513468660.936361424326567
1220.07576256734985420.1515251346997080.924237432650146
1230.08004988325402440.1600997665080490.919950116745976
1240.07799261962750510.155985239255010.922007380372495
1250.08264658744165980.165293174883320.91735341255834
1260.0745973536363540.1491947072727080.925402646363646
1270.06290794581907040.1258158916381410.93709205418093
1280.05216082782019130.1043216556403830.947839172179809
1290.04430514815585950.08861029631171890.955694851844141
1300.05189548922304280.1037909784460860.948104510776957
1310.04374521904629850.08749043809259690.956254780953702
1320.03744362085468530.07488724170937060.962556379145315
1330.04073475555716170.08146951111432350.959265244442838
1340.03969782619640560.07939565239281110.960302173803595
1350.03230997211940890.06461994423881780.967690027880591
1360.03174223255227290.06348446510454570.968257767447727
1370.03436552572063530.06873105144127050.965634474279365
1380.02882359099991240.05764718199982490.971176409000088
1390.02593662419264620.05187324838529230.974063375807354
1400.02075830305514560.04151660611029110.979241696944854
1410.01709177534290570.03418355068581130.982908224657094
1420.01391570325127250.02783140650254490.986084296748728
1430.01099461012438430.02198922024876870.989005389875616
1440.008735669287588480.0174713385751770.991264330712411
1450.007595885875089910.01519177175017980.99240411412491
1460.008347779544239220.01669555908847840.991652220455761
1470.006682753612343440.01336550722468690.993317246387657
1480.01136629210893210.02273258421786420.988633707891068
1490.009308018496603160.01861603699320630.990691981503397
1500.007302336862873740.01460467372574750.992697663137126
1510.0138292034466580.0276584068933160.986170796553342
1520.01118961461311970.02237922922623940.98881038538688
1530.008711265304631010.0174225306092620.991288734695369
1540.007755533202534540.01551106640506910.992244466797465
1550.006316189085626560.01263237817125310.993683810914373
1560.006249552931565980.0124991058631320.993750447068434
1570.008303685122602620.01660737024520520.991696314877397
1580.006949733363569020.0138994667271380.993050266636431
1590.005289043043162740.01057808608632550.994710956956837
1600.004212219302715880.008424438605431760.995787780697284
1610.003152885139031260.006305770278062520.996847114860969
1620.002607273821476320.005214547642952650.997392726178524
1630.002424739739248970.004849479478497940.997575260260751
1640.001782183055848220.003564366111696430.998217816944152
1650.00161532296370040.00323064592740080.9983846770363
1660.001193406533563110.002386813067126210.998806593466437
1670.0008771570462929640.001754314092585930.999122842953707
1680.003771586097241160.007543172194482330.996228413902759
1690.003324596029531730.006649192059063450.996675403970468
1700.00265727503919660.00531455007839320.997342724960803
1710.00194713496844260.003894269936885190.998052865031557
1720.002857660177327440.005715320354654880.997142339822673
1730.06133752836753340.1226750567350670.938662471632467
1740.05002702547983810.1000540509596760.949972974520162
1750.04062271578623710.08124543157247430.959377284213763
1760.05603262053219190.1120652410643840.943967379467808
1770.09807502086126310.1961500417225260.901924979138737
1780.0830434937146120.1660869874292240.916956506285388
1790.06891489413605330.1378297882721070.931085105863947
1800.05773424621452560.1154684924290510.942265753785474
1810.05796375295426540.1159275059085310.942036247045735
1820.05117322615785320.1023464523157060.948826773842147
1830.0642161980797420.1284323961594840.935783801920258
1840.08218273670653950.1643654734130790.91781726329346
1850.09180328735153550.1836065747030710.908196712648464
1860.1164986215854930.2329972431709850.883501378414507
1870.7783178112379510.4433643775240980.221682188762049
1880.7602042049380340.4795915901239310.239795795061966
1890.7632633039028570.4734733921942850.236736696097143
1900.7395920183459740.5208159633080510.260407981654026
1910.7060642549224710.5878714901550570.293935745077529
1920.6645833348337850.6708333303324290.335416665166215
1930.6307084153995890.7385831692008220.369291584600411
1940.5920029982089350.8159940035821290.407997001791065
1950.5437763337870360.9124473324259270.456223666212964
1960.5063712655236340.9872574689527320.493628734476366
1970.4750053320754940.9500106641509880.524994667924506
1980.8493819831738140.3012360336523730.150618016826187
1990.9448925518221930.1102148963556130.0551074481778067
2000.9437898906333960.1124202187332070.0562101093666037
2010.9289950430088840.1420099139822310.0710049569911156
2020.9235233225695560.1529533548608890.0764766774304444
2030.9023202164918690.1953595670162620.0976797835081312
2040.9168367716552870.1663264566894250.0831632283447126
2050.9999971308344115.73833117885581e-062.8691655894279e-06
2060.9999990548144281.89037114465696e-069.4518557232848e-07
2070.9999981748905473.6502189052094e-061.8251094526047e-06
2080.9999958696341498.26073170246062e-064.13036585123031e-06
2090.9999912668068481.74663863037313e-058.73319315186567e-06
2100.9999807323433613.85353132788494e-051.92676566394247e-05
2110.9999584685403028.30629193958011e-054.15314596979005e-05
2120.9999133897565870.0001732204868252878.66102434126436e-05
2130.9999809773517263.8045296547443e-051.90226482737215e-05
2140.9999675650764246.48698471515707e-053.24349235757854e-05
2150.9999360826026730.0001278347946547156.39173973273577e-05
2160.9998824851923580.0002350296152847540.000117514807642377
2170.9997678074372590.0004643851254828690.000232192562741435
2180.9995100926018960.0009798147962081680.000489907398104084
2190.9989439064439310.00211218711213750.00105609355606875
2200.9985475629024470.002904874195105820.00145243709755291
2210.9969721189926390.006055762014722860.00302788100736143
2220.9956972130579450.0086055738841090.0043027869420545
2230.9913848762554990.01723024748900280.00861512374450141
2240.9907071635777650.0185856728444690.00929283642223452
2250.9867552021931710.02648959561365860.0132447978068293
2260.9735518916878230.05289621662435350.0264481083121768
2270.9980033609953940.003993278009212580.00199663900460629
2280.9943800184382850.01123996312343090.00561998156171544
2290.9910732318064520.01785353638709630.00892676819354814
2300.9798333751756620.04033324964867660.0201666248243383
2310.950938357694930.09812328461013980.0490616423050699
2320.9833595644474380.03328087110512440.0166404355525622


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level320.142857142857143NOK
5% type I error level730.325892857142857NOK
10% type I error level1180.526785714285714NOK