Multiple Linear Regression - Estimated Regression Equation
Totalsize[t] = + 7728.13074620294 + 0.175573367483228TotalTime[t] -4.90218262163405Logins[t] + 12.250262229187Pageviews[t] -35.639722929923CompendiumViews[t] + 383.247189447884LongPR[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7728.130746202946513.8210041.18640.2372370.118619
TotalTime0.1755733674832280.0553833.17020.001830.000915
Logins-4.9021826216340576.923663-0.06370.9492670.474634
Pageviews12.25026222918712.2290871.00170.3180050.159002
CompendiumViews-35.63972292992326.715189-1.33410.1841030.092052
LongPR383.24718944788477.1620274.96682e-061e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.766062780270744
R-squared0.586852183316142
Adjusted R-squared0.573777885319817
F-TEST (value)44.8859421347987
F-TEST (DF numerator)5
F-TEST (DF denominator)158
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation34063.5137001514
Sum Squared Residuals183331028564.863


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1140824110495.58848206230328.4115179383
211045998836.370061169811622.6299388302
310507993536.962608767411542.0373912326
411209894512.1451242117585.8548757899
54392971121.598983909-27192.598983909
67617355489.47206863920683.527931361
7187326144918.79975385542407.2002461452
82280722604.3458816426202.654118357427
914440897071.224404700547336.7755952995
106648591244.338325213-24759.338325213
1179089124882.50838415-45793.5083841501
1281625134405.091767847-52780.0917678466
136878885690.5111619336-16902.5111619336
14103297132286.100223074-28989.1002230743
156944689892.0504405027-20446.0504405027
16114948156136.429744632-41188.4297446323
17167949123735.91464789244213.0853521081
18125081114148.2776583710932.7223416302
1912581875584.268934053350233.7310659467
20136588134447.1467693482140.85323065215
21112431118752.258969454-6321.25896945407
22103037142044.538072798-39007.5380727984
238231778939.45472949573377.5452705043
24118906128780.64676906-9874.64676905973
2583515108869.541732852-25354.5417328523
26104581111647.216479159-7066.21647915871
27103129115313.280595597-12184.2805955974
2883243123500.7605834-40257.7605834004
293711081670.7199772366-44560.7199772366
30113344129786.3760033-16442.3760033002
31139165126803.4267394312361.5732605696
3286652111472.692218509-24820.6922185094
33112302147705.992106505-35403.992106505
346965288615.4626842803-18963.4626842803
35119442142819.384931829-23377.384931829
366986795815.3390078874-25948.3390078874
37101629138087.285570443-36458.2855704433
387016890897.0476278408-20729.0476278408
393108147599.6111205071-16518.6111205071
40103925134872.125830849-30947.1258308485
4192622103086.960648289-10464.9606482891
427901185143.8819306914-6132.8819306914
439348790635.62241757322851.37758242681
4464520101114.513927238-36594.5139272379
459347354197.407998918639275.5920010814
46114360132788.752958051-18428.7529580505
473303246136.3670968522-13104.3670968522
4896125134791.186059977-38666.1860599768
49151911140111.34096823811799.6590317621
5089256100104.55434988-10848.5543498803
5195676112878.581729801-17202.5817298009
52595012846.6477690568-6896.6477690568
53149695145642.6418164964052.35818350367
543255142466.2984634078-9915.29846340776
553170138919.5867961347-7218.58679613466
56100087109794.850216106-9707.85021610604
57169707168842.317642463864.682357536898
58150491130396.67092417620094.3290758243
59120192129421.562062955-9229.56206295512
6095893107139.415409885-11246.4154098852
61151715149044.0920735012670.90792649862
6217622589282.5377200686942.46227994
635990089024.426180771-29124.426180771
64104767111925.477529592-7158.47752959186
65114799106554.3665380588244.63346194246
667212894195.5912881447-22067.5912881447
67143592101899.19296061541692.8070393847
6889626122043.659464003-32417.6594640033
69131072101925.90810061629146.0918993842
7012681773328.293717864953488.7062821351
7181351114556.433203217-33205.4332032168
722261843383.2437902337-20765.2437902337
7388977125017.321876497-36040.3218764975
749205976614.253987503515444.7460124965
7581897102374.997708701-20477.9977087011
76108146121033.754761414-12887.7547614136
77126372126756.066144549-384.066144549455
78249771100549.319277971149221.680722029
7971154107527.910283701-36373.9102837009
807157191974.7219701978-20403.7219701978
815591884589.3677669108-28671.3677669108
82160141153939.4454340536201.55456594662
833869264457.9782534042-25765.9782534042
84102812100765.1618488532046.83815114652
855662227249.610332641129372.3896673589
861598670393.7694585878-54407.7694585878
8712353494340.370319839629193.6296801604
88108535130509.645080919-21974.6450809191
8993879124983.438786987-31104.4387869869
90144551100361.18656069844189.8134393021
9156750100394.601446463-43644.6014464628
92127654117178.36828139110475.6317186087
936559482652.7483056159-17058.7483056159
9459938107009.17046341-47071.1704634101
95146975118662.15766643428312.8423335659
96165904108565.32394485157338.6760551492
97169265113170.4918438556094.5081561499
98183500109077.66796005274422.3320399477
99165986177730.009451182-11744.0094511822
100184923123225.16472883761697.8352711632
101140358129631.83484760410726.1651523957
102149959117671.30944483432287.6905551655
1035722471180.431682755-13956.431682755
1044375039535.12182737834214.87817262175
1054802966339.153015198-18310.153015198
10610497890185.176826366214792.8231736338
107100046104058.073213573-4012.07321357299
108101047111173.746437741-10126.7464377407
10919742679110.9125303703118315.08746963
11016090298139.123673961462762.8763260386
111147172130592.45555660616579.5444433936
112109432108364.485150121067.51484988022
113116811160.1809483216-9992.18094832156
1148324880735.80292876382512.19707123619
1152516229613.2458354326-4451.24583543259
1164572497540.0253091202-51816.0253091202
117110529118748.036861826-8219.03686182644
11885510883.6694381753-10028.6694381753
11910138276683.88633042224698.113669578
1201411615580.1922624648-1464.19226246483
12189506126752.63937516-37246.63937516
122135356114546.74345547120809.2565445292
123116066100187.8624154915878.1375845101
12414424472778.169554446771465.8304455533
125877319440.5935979965-10667.5935979965
126102153115707.04293613-13554.0429361303
127117440139676.230524489-22236.2305244888
128104128109839.489291242-5711.48929124154
129134238138160.83906813-3922.83906813031
130134047123697.82843130710349.1715686932
131279488160699.143570642118788.856429358
13279756102069.826479482-22313.8264794823
1336608973149.9351470612-7060.93514706123
134102070129322.933770012-27252.9337700124
135146760155965.361955699-9205.36195569897
13615477196992.536119331157778.4638806689
137165933130720.16803073935212.8319692606
1386459380417.9868392264-15824.9868392264
13992280116402.6536441-24122.6536440995
14067150103763.848561898-36613.8485618982
14112869272793.028325207255898.9716747928
142124089123148.692897913940.30710208656
14312538698683.29750671526702.702493285
1443723867143.6576866898-29905.6576866898
145140015129566.85541192210448.144588078
146150047111925.60567953138121.3943204686
147154451100204.00083611354246.9991638868
148156349126556.39360976329792.6063902374
14907752.80684402881-7752.80684402881
15060239764.35837397852-3741.35837397852
15107801.6860647406-7801.6860647406
15207896.21436099804-7896.21436099804
15307728.13074620295-7728.13074620295
15407728.13074620295-7728.13074620295
1558460195447.0980735884-10846.0980735884
15668946131333.166991686-62387.1669916864
15707728.13074620295-7728.13074620295
15807793.16445823226-7793.16445823226
15916448180.02260539948-6536.02260539948
160617917387.8380207523-11208.8380207523
161392611585.5405622652-7659.5405622652
1625278965966.4488911288-13177.4488911288
16308243.71457869735-8243.71457869735
16410035077906.60421816622443.395781834


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.1335832873406280.2671665746812570.866416712659371
100.2940452917020790.5880905834041570.705954708297921
110.2646155561301380.5292311122602760.735384443869862
120.3112737508427630.6225475016855260.688726249157237
130.21034076598320.4206815319663990.7896592340168
140.4538772943324820.9077545886649630.546122705667518
150.3582467407549560.7164934815099130.641753259245044
160.2749607136979240.5499214273958470.725039286302076
170.3173521390998450.634704278199690.682647860900155
180.4351109276579350.870221855315870.564889072342065
190.4957650292083530.9915300584167050.504234970791647
200.4270851041974410.8541702083948820.572914895802559
210.3546393062220230.7092786124440460.645360693777977
220.4084532640594460.8169065281188920.591546735940554
230.3380339657470250.676067931494050.661966034252975
240.2855859471383860.5711718942767720.714414052861614
250.2503297162353150.500659432470630.749670283764685
260.2014394871262740.4028789742525480.798560512873726
270.1559328817176590.3118657634353180.84406711828234
280.1467183870092670.2934367740185350.853281612990733
290.2136855225666020.4273710451332050.786314477433398
300.1784600771171680.3569201542343360.821539922882832
310.1435406220683460.2870812441366920.856459377931654
320.1204318607574720.2408637215149450.879568139242528
330.1004677213220710.2009354426441420.899532278677929
340.0874412135875470.1748824271750940.912558786412453
350.06867897445335230.1373579489067050.931321025546648
360.07918160914373260.1583632182874650.920818390856267
370.06783282328173650.1356656465634730.932167176718264
380.05307740524587640.1061548104917530.946922594754124
390.04468061976956990.08936123953913990.95531938023043
400.03465091130048350.06930182260096710.965349088699516
410.02857434938082120.05714869876164230.971425650619179
420.02048701297899620.04097402595799250.979512987021004
430.01473933562187030.02947867124374060.98526066437813
440.01320182254879190.02640364509758380.986798177451208
450.01387087001950760.02774174003901520.986129129980492
460.009859903092455230.01971980618491050.990140096907545
470.007984867375211470.01596973475042290.992015132624789
480.006725742648359050.01345148529671810.99327425735164
490.006879493438822920.01375898687764580.993120506561177
500.00516748404660540.01033496809321080.994832515953395
510.003668844132602740.007337688265205480.996331155867397
520.002858666555166070.005717333110332130.997141333444834
530.002819238994226830.005638477988453660.997180761005773
540.001987475197320210.003974950394640420.99801252480268
550.001381685023082390.002763370046164790.998618314976918
560.0009109368449946230.001821873689989250.999089063155005
570.0009442528015853830.001888505603170770.999055747198415
580.001100692202849930.002201384405699860.99889930779715
590.0007321551806643420.001464310361328680.999267844819336
600.0004863103033036430.0009726206066072860.999513689696696
610.0003572257289614630.0007144514579229260.999642774271039
620.006033404067918760.01206680813583750.993966595932081
630.005895491086180930.01179098217236190.99410450891382
640.004194896565262510.008389793130525020.995805103434737
650.003191477918722130.006382955837444250.996808522081278
660.002524240168439490.005048480336878980.99747575983156
670.003772974132743190.007545948265486370.996227025867257
680.003548533628113020.007097067256226040.996451466371887
690.003626141327713680.007252282655427350.996373858672286
700.00665930792396980.01331861584793960.99334069207603
710.006362230838935060.01272446167787010.993637769161065
720.005441522319762460.01088304463952490.994558477680238
730.005684905750966410.01136981150193280.994315094249034
740.004353950973639670.008707901947279330.99564604902636
750.003525902145782370.007051804291564740.996474097854218
760.002625133674489880.005250267348979770.99737486632551
770.001841443198900210.003682886397800430.9981585568011
780.2691797728359160.5383595456718310.730820227164084
790.2776428604079320.5552857208158640.722357139592068
800.2565442933620980.5130885867241970.743455706637902
810.2497823229677950.4995646459355910.750217677032205
820.218995346723750.4379906934474990.78100465327625
830.2104967483158560.4209934966317110.789503251684144
840.1787936524318130.3575873048636260.821206347568187
850.1680973660728390.3361947321456780.831902633927161
860.2233326796740260.4466653593480520.776667320325974
870.2150959866555620.4301919733111240.784904013344438
880.1988465933415220.3976931866830450.801153406658478
890.1961609755452650.3923219510905290.803839024454735
900.2177637193853610.4355274387707220.782236280614639
910.2470296046220010.4940592092440020.752970395378
920.217818920281020.4356378405620410.78218107971898
930.1966060737550940.3932121475101870.803393926244906
940.2409591137286630.4819182274573260.759040886271337
950.229325249245230.4586504984904590.77067475075477
960.2898979422923110.5797958845846210.71010205770769
970.3500361179659540.7000722359319090.649963882034046
980.5105934481132630.9788131037734740.489406551886737
990.4962551482125010.9925102964250020.503744851787499
1000.5914743906649190.8170512186701630.408525609335081
1010.5497231117136490.9005537765727020.450276888286351
1020.5386642580013730.9226714839972550.461335741998627
1030.499541856868960.999083713737920.50045814313104
1040.451810645270030.9036212905400590.54818935472997
1050.4191481836280570.8382963672561140.580851816371943
1060.3794049106949670.7588098213899340.620595089305033
1070.3379764699831010.6759529399662020.662023530016899
1080.3015533599338580.6031067198677170.698446640066142
1090.8026503692366050.394699261526790.197349630763395
1100.8459872244312730.3080255511374540.154012775568727
1110.820155638659290.3596887226814210.179844361340711
1120.7853023288623590.4293953422752820.214697671137641
1130.7505201708957540.4989596582084930.249479829104246
1140.7081002342821520.5837995314356950.291899765717848
1150.6638323120951950.672335375809610.336167687904805
1160.7474454537115410.5051090925769170.252554546288459
1170.7048894163106930.5902211673786130.295110583689307
1180.661548608541710.676902782916580.33845139145829
1190.6364073104914970.7271853790170060.363592689508503
1200.5865366346728180.8269267306543640.413463365327182
1210.641296684926970.7174066301460610.358703315073031
1220.5980236619575510.8039526760848970.401976338042449
1230.5482086547501360.9035826904997290.451791345249864
1240.6967078898419770.6065842203160470.303292110158023
1250.6490437779990740.7019124440018510.350956222000926
1260.630913427182170.738173145635660.36908657281783
1270.6291658642446230.7416682715107550.370834135755377
1280.5890594841398660.8218810317202690.410940515860134
1290.5624743385121550.8750513229756890.437525661487845
1300.5055136675743240.9889726648513520.494486332425676
1310.9593636114946980.08127277701060430.0406363885053022
1320.9507100411412340.09857991771753240.0492899588587662
1330.939506222653710.1209875546925820.0604937773462909
1340.9362100283650840.1275799432698320.0637899716349162
1350.9261081371212960.1477837257574080.0738918628787039
1360.9421758518174770.1156482963650450.0578241481825226
1370.9273076697698050.1453846604603890.0726923302301946
1380.9409005183771730.1181989632456550.0590994816228273
1390.917001442573570.165997114852860.0829985574264298
1400.946635100311760.1067297993764790.0533648996882397
1410.9989635127882930.002072974423414480.00103648721170724
1420.9992782173985560.001443565202888130.000721782601444066
1430.9993266789561990.001346642087602390.000673321043801193
1440.999814221412830.0003715571743384350.000185778587169217
1450.9999791948329644.16103340727943e-052.08051670363972e-05
1460.9999777297771854.45404456294259e-052.22702228147129e-05
1470.9999291056663550.0001417886672898417.08943336449207e-05
1480.9999999212041271.57591746523853e-077.87958732619264e-08
1490.9999994380834291.12383314302894e-065.6191657151447e-07
1500.9999960747231277.8505537466069e-063.92527687330345e-06
1510.9999741767629835.16464740336705e-052.58232370168353e-05
1520.9998473408742340.0003053182515310980.000152659125765549
1530.9991209234203520.001758153159296710.000879076579648354
1540.9953483352242820.009303329551436890.00465166477571845
1550.9956242482849210.008751503430158060.00437575171507903


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level360.244897959183673NOK
5% type I error level510.346938775510204NOK
10% type I error level560.380952380952381NOK