Multiple Linear Regression - Estimated Regression Equation
Time[t] = -5401.89509542652 + 224.110488056508Logins[t] + 127.914330862286CompendiumViews[t] + 123.397183424574BloggedComputations[t] + 544.562227927064ReviewedCompendiums[t] + 102.592145638846LongFeedbackmessages[t] + 0.758949575358098WritingTime[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-5401.895095426527652.906967-0.70590.481320.24066
Logins224.11048805650875.9770182.94970.0036680.001834
CompendiumViews127.91433086228611.37934311.240900
BloggedComputations123.397183424574112.3858391.0980.2738950.136948
ReviewedCompendiums544.562227927064493.0193571.10450.2710470.135523
LongFeedbackmessages102.592145638846134.3956780.76340.4463950.223197
WritingTime0.7589495753580980.080789.395300


Multiple Linear Regression - Regression Statistics
Multiple R0.957714939025241
R-squared0.917217904432121
Adjusted R-squared0.914054257467743
F-TEST (value)289.924228196109
F-TEST (DF numerator)6
F-TEST (DF denominator)157
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation36493.0751229271
Sum Squared Residuals209083891512.634


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1279055264721.47242660314333.5275733969
2209884206199.4398228133684.56017718668
3233939225536.9416661658402.05833383489
4222117300948.13507432-78831.1350743201
5179751167328.36854177412422.6314582258
67084989036.9904086343-18187.9904086343
7568125585661.560387591-17536.5603875909
83318630438.32083345632747.67916654373
9227332238818.941307218-11486.9413072178
10258874214344.39930836744529.6006916333
11351915322127.09206278329787.9079372165
12260484257173.0304211563310.96957884369
13204003204794.087162561-791.087162561409
14368577306916.02544296161660.9745570389
15269455236854.04611784532600.9538821551
16395936464239.998845812-68303.998845812
17335567295931.81198277439635.1880172258
18423110360617.12566901562492.8743309848
19182016197977.774427817-15961.7744278168
20267365269846.004994394-2481.00499439388
21279428284060.657076386-4632.65707638594
22508849362326.803677517146522.196322483
23206722189559.81580273817162.1841972616
24200004233787.56360524-33783.5636052397
25257139332679.502926581-75540.5029265805
26270815305546.331133648-34731.3311336477
27296850343237.66157051-46387.6615705102
28307100277985.68207304429114.3179269563
29184160176489.8051795367670.19482046378
30393860400363.409877014-6503.40987701422
31327660359944.386715428-32284.3867154281
32252512241451.52166746511060.4783325348
33373013345516.90706500527496.0929349949
34115602127457.887837106-11855.8878371055
35430118385147.16589578144970.8341042185
36273950281519.320816774-7569.3208167743
37428077391937.34920855136139.6507914488
38251349224202.67659127146.3234090004
39115658100910.25974527714747.7402547234
40388812390901.066331151-2089.06633115056
41343783365461.947516167-21678.9475161666
42207021215224.672890422-8203.67289042157
43214344244709.008771443-30365.0087714425
44182398163318.28439145519079.7156085447
45157164281494.937884928-124330.937884928
46459455406314.11626263153140.8837373693
4778800112855.95720326-34055.9572032602
48217932248096.204921354-30164.2049213541
49368086411829.364717296-43743.3647172956
50215843286419.970274716-70576.9702747156
51244765276841.157247593-32076.1572475931
522418843167.0843040488-18979.0843040488
53399093381169.52275050817923.4772494923
546502968734.1842976563-3705.1842976563
55101097117324.452357786-16227.4523577861
56300488309847.129698265-9359.12969826537
57369627351292.36278407218334.6372159283
58367127395022.518249446-27895.5182494463
59374193378615.624905185-4422.62490518511
60270099236621.69683291133477.303167089
61391871415383.484405795-23512.4844057953
62315924377547.765627592-61623.7656275924
63291391302427.454848829-11036.454848829
64295075291851.4629989853223.53700101507
65276201256973.10076530519227.8992346947
66267432235799.90706724431632.0929327561
67215924242814.738417447-26890.7384174469
68256641301356.217677598-44715.2176775979
69260919271131.604937956-10212.6049379556
70182961206910.168822603-23949.1688226028
71256967259085.527837928-2118.52783792813
727356691211.2156231589-17645.2156231589
73272362255387.64876647816974.3512335224
74220707232698.277509352-11991.277509352
75228835231423.698787583-2588.69878758283
76371391276122.96787967395268.0321203275
77398210360960.61082258837249.3891774125
78220401280366.121343273-59965.1213432732
79229333224299.3574874755033.64251252521
80217623209699.8778064557923.12219354543
81200046208705.741359293-8659.74135929278
82483074380364.218389865102709.781610135
83145943174103.925334803-28160.9253348032
84295224262983.59010518232240.4098948176
8580953111615.692144654-30662.6921446536
86180759178453.528221772305.47177822964
87179344187702.906140118-8358.90614011754
88415550385503.23972364430046.7602763555
89369093351533.7638097817559.2361902204
90180679275988.088553137-95309.0885531372
91299505257640.74029896441864.2597010359
92292260245569.77111483446690.2288851662
93199481196329.2321916683151.76780833206
94282361270736.30389627311624.6961037267
95329281287779.88036070141501.1196392991
96234577244083.083329146-9506.08332914644
97297995276943.62191973721051.3780802627
98305984335006.722872499-29022.7228724987
99416463430366.711914574-13903.7119145741
100414359434924.438359877-20565.4383598767
101297080290582.0224764096497.97752359083
102318283332456.3948819-14173.3948818999
103222281236281.299896785-14000.2998967855
1044328758524.241742193-15237.241742193
105223456214493.8598259478962.14017405262
106258249295355.54428687-37106.5442868698
107299566323915.373223566-24349.3732235663
108321797315674.7478723836122.25212761694
109174736239302.166924399-64566.1669243992
110169579277677.790646352-108098.790646352
111354041283756.69025739470284.309742606
112303273247112.64870505756160.3512949425
1132366823924.5297625133-256.529762513302
114196743243544.886065269-46801.886065269
1156185755344.25177623626512.74822376384
116207339191743.93120148615595.0687985136
117431443407540.69196492123902.308035079
1182105422378.717841091-1324.717841091
119252805247717.5088989335087.49110106683
1203196142596.3599139181-10635.3599139181
121360401370250.183173007-9849.18317300683
122251240227332.63184496323907.3681550366
123187003150108.76143887636894.2385611244
124180842201888.129196457-21046.1291964567
1253821456619.8965453434-18405.8965453434
126278173229062.47965092749110.5203490731
127358276329156.96220433429119.0377956661
128211775220660.358372199-8885.35837219887
129445926441217.5175061924708.4824938082
130348017366502.302609353-18485.3026093534
131441946442387.849798908-441.849798907922
132210700218110.596290682-7410.59629068231
133126320153198.430987564-26878.4309875637
134316128325176.616264468-9048.61626446788
135466139450086.39527871216052.6047212882
136162279142807.12608509419471.8739149058
137412099426775.407775234-14676.4077752336
138173802205703.478190722-31901.478190722
139292443258118.44696819734324.5530318027
140283913271130.92962553912782.0703744608
141243609217211.68816688326397.3118331174
142387072378977.8464855468094.15351445348
143246963270778.862958495-23815.8629584947
144173260133074.31453721540185.6854627853
145346748322629.1263904124118.87360959
146176654226931.504923816-50277.5049238158
147264767303290.653000808-38523.6530008083
148314070322387.517835987-8317.51783598752
1491-5401.895095426495402.89509542649
1501468814241.4426149541446.557385045871
15198-5177.784607369995275.78460736999
152455-4953.674119313485408.67411931348
1530-5401.895095426495401.89509542649
1540-5401.895095426495401.89509542649
155284420243879.08717934240540.9128206576
156410509369834.02714441840674.9728555816
1570-5401.895095426495401.89509542649
158203-4505.453143200464708.45314320046
15971999269.83906003234-2070.83906003234
1604666054071.6480094482-7411.64800944824
1611754711320.82022783286226.17977216718
16212155096163.115975272325386.8840247277
163969-4953.674119313485922.67411931348
164242258190483.56445525751774.4355447427


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.4727613621431560.9455227242863120.527238637856844
110.4471902088951720.8943804177903440.552809791104828
120.4075930431072010.8151860862144030.592406956892799
130.3091146131371770.6182292262743540.690885386862823
140.4500364679103050.900072935820610.549963532089695
150.35472377835720.7094475567144010.6452762216428
160.3999248777175920.7998497554351840.600075122282408
170.3782580045065240.7565160090130470.621741995493476
180.6967317162357740.6065365675284530.303268283764226
190.6677016239758290.6645967520483410.332298376024171
200.5896472155088450.8207055689823090.410352784491154
210.5269684057762750.9460631884474510.473031594223725
220.9916967438835190.01660651223296250.00830325611648127
230.9875076226927130.0249847546145740.012492377307287
240.9838873761641020.03222524767179550.0161126238358977
250.9867884636654070.02642307266918680.0132115363345934
260.9826329799932390.03473404001352140.0173670200067607
270.9900421230432030.01991575391359470.00995787695679734
280.9883265847748490.02334683045030150.0116734152251507
290.9829997357099580.03400052858008390.017000264290042
300.9807342132499250.03853157350014990.019265786750075
310.978889804877370.04222039024525960.0211101951226298
320.9722165626538150.05556687469236940.0277834373461847
330.9663837133288560.06723257334228760.0336162866711438
340.9545253624926360.09094927501472720.0454746375073636
350.9578395982823760.08432080343524820.0421604017176241
360.9452798573402090.1094402853195830.0547201426597914
370.9365516259954040.1268967480091910.0634483740045957
380.9224365998826510.1551268002346990.0775634001173494
390.9023784177996750.1952431644006490.0976215822003246
400.8772818432161520.2454363135676960.122718156783848
410.8546787965013320.2906424069973350.145321203498668
420.8231459862445370.3537080275109260.176854013755463
430.8355551112759870.3288897774480250.164444888724013
440.8138037304292340.3723925391415310.186196269570766
450.9869468946678740.02610621066425250.0130531053321263
460.9910972925273750.01780541494525090.00890270747262546
470.992002784140890.01599443171821980.00799721585910988
480.9903043238394760.01939135232104840.00969567616052421
490.9913170347980570.01736593040388670.00868296520194337
500.9951507337840040.009698532431991770.00484926621599588
510.9947639204080660.0104721591838670.00523607959193349
520.9946503120848560.01069937583028840.0053496879151442
530.9936336013161710.01273279736765810.00636639868382903
540.991317471468940.01736505706212070.00868252853106034
550.9894448591749570.02111028165008570.0105551408250428
560.985946605864710.02810678827058090.0140533941352904
570.9826493763710360.03470124725792830.0173506236289642
580.981437376529560.03712524694088020.0185626234704401
590.97539701085170.04920597829660030.0246029891483001
600.9741023761548090.0517952476903820.025897623845191
610.9689984689128650.06200306217427070.0310015310871354
620.9794988133033670.04100237339326570.0205011866966329
630.9746694910076220.05066101798475560.0253305089923778
640.9668908562470710.06621828750585730.0331091437529286
650.9592851170934240.08142976581315170.0407148829065758
660.962246116309070.07550776738186060.0377538836909303
670.9571415265770160.08571694684596840.0428584734229842
680.9613831770832190.07723364583356270.0386168229167814
690.9511549986813550.09769000263729020.0488450013186451
700.9421576576571980.1156846846856040.0578423423428022
710.9277034164774540.1445931670450920.0722965835225458
720.915872491683260.1682550166334790.0841275083167396
730.9002420639712280.1995158720575440.099757936028772
740.8833400819935160.2333198360129680.116659918006484
750.8595792349712710.2808415300574580.140420765028729
760.9620323854806990.07593522903860290.0379676145193014
770.9623326760924210.07533464781515890.0376673239075795
780.9752873712019720.04942525759605520.0247126287980276
790.9680716655193130.06385666896137430.0319283344806871
800.9593902309946340.08121953801073210.040609769005366
810.9494005722215640.1011988555568730.0505994277784363
820.993581098696870.01283780260626110.00641890130313054
830.9929981346972950.01400373060540940.00700186530270472
840.9924523474698830.01509530506023410.00754765253011705
850.9916778544973790.01664429100524190.00832214550262095
860.9886328476937970.02273430461240690.0113671523062034
870.9848698033930810.03026039321383780.0151301966069189
880.9835135161233960.03297296775320760.0164864838766038
890.9790651885829280.04186962283414470.0209348114170723
900.9968346920806460.006330615838707270.00316530791935363
910.9971347432007630.005730513598473330.00286525679923666
920.9979630838377210.004073832324558750.00203691616227938
930.9970624131706460.005875173658707720.00293758682935386
940.9960440430817510.00791191383649870.00395595691824935
950.9964878254658990.007024349068201240.00351217453410062
960.9950707580637730.009858483872453860.00492924193622693
970.9941082422377430.01178351552451370.00589175776225687
980.9931745165465430.01365096690691370.00682548345345685
990.9907678222765030.01846435544699330.00923217772349665
1000.9881047130317640.02379057393647170.0118952869682358
1010.9839737701489370.03205245970212660.0160262298510633
1020.9791288474903880.04174230501922410.020871152509612
1030.9739893500535980.05202129989280320.0260106499464016
1040.9676905359972260.06461892800554810.032309464002774
1050.9580978808203390.08380423835932170.0419021191796608
1060.9627700013149540.07445999737009290.0372299986850464
1070.9580995713375460.08380085732490890.0419004286624545
1080.945861516963280.108276966073440.05413848303672
1090.9844981391310790.03100372173784220.0155018608689211
1100.9997099007267470.0005801985465065010.00029009927325325
1110.9999477119614630.0001045760770742275.22880385371135e-05
1120.9999831596252453.36807495095292e-051.68403747547646e-05
1130.999969342682226.13146355591518e-053.06573177795759e-05
1140.999990132496881.97350062393909e-059.86750311969543e-06
1150.9999816932829383.66134341237026e-051.83067170618513e-05
1160.9999676322713866.47354572287032e-053.23677286143516e-05
1170.9999549786410199.00427179629161e-054.50213589814581e-05
1180.9999185785756350.0001628428487302598.14214243651296e-05
1190.9998564158580920.000287168283815180.00014358414190759
1200.9997935696343730.000412860731253360.00020643036562668
1210.9996665656334040.0006668687331930950.000333434366596548
1220.9995599409281330.0008801181437337760.000440059071866888
1230.9995485342288380.0009029315423242130.000451465771162106
1240.9995205998203470.0009588003593053670.000479400179652684
1250.9994250557918770.001149888416246180.00057494420812309
1260.9998309723058640.0003380553882726690.000169027694136334
1270.999913398958230.0001732020835404198.66010417702097e-05
1280.9998352737870270.0003294524259454480.000164726212972724
1290.9996975228882730.0006049542234531820.000302477111726591
1300.9996010908128680.0007978183742648910.000398909187132445
1310.9992746915519530.00145061689609360.0007253084480468
1320.998693009460760.002613981078480280.00130699053924014
1330.9989541108495140.002091778300971420.00104588915048571
1340.9985046089592150.002990782081569210.0014953910407846
1350.9974386438203660.005122712359268140.00256135617963407
1360.9984143498941610.003171300211678490.00158565010583924
1370.9975567490272030.004886501945594750.00244325097279738
1380.9982291681509650.003541663698069950.00177083184903497
1390.9999957035277548.59294449195293e-064.29647224597647e-06
1400.9999877276293322.45447413353574e-051.22723706676787e-05
1410.9999773605695954.5278860810546e-052.2639430405273e-05
1420.9999367676879990.0001264646240024876.32323120012435e-05
1430.9998606099073440.0002787801853116460.000139390092655823
1440.9999008790196340.0001982419607321469.91209803660728e-05
1450.9999906597718991.86804562023438e-059.34022810117191e-06
1460.9999956006570428.79868591580834e-064.39934295790417e-06
1470.9999910932041611.78135916773203e-058.90679583866015e-06
1480.9999619164294467.61671411087208e-053.80835705543604e-05
1490.9998423291847860.0003153416304275340.000157670815213767
1500.9996450920491990.0007098159016012880.000354907950800644
1510.998526508984970.002946982030060690.00147349101503035
1520.9942216822364670.01155663552706620.00577831776353309
1530.9805906860688550.03881862786229060.0194093139311453
1540.9410018859400070.1179962281199860.0589981140599932


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level500.344827586206897NOK
5% type I error level930.641379310344828NOK
10% type I error level1150.793103448275862NOK