Multiple Linear Regression - Estimated Regression Equation
Reviewed_compendiums[t] = + 0.843449171232774 + 0.00528823940014578Total_time[t] + 0.000916445389594762Logins[t] + 0.254727511090191long_feedback[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.8434491712327740.2872852.93590.0038160.001908
Total_time0.005288239400145780.0094510.55950.576580.28829
Logins0.0009164453895947620.0049370.18560.8529580.426479
long_feedback0.2547275110901910.00470754.115600


Multiple Linear Regression - Regression Statistics
Multiple R0.987562453991805
R-squared0.975279600534316
Adjusted R-squared0.974816093044334
F-TEST (value)2104.12910603253
F-TEST (DF numerator)3
F-TEST (DF denominator)160
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.38288082019299
Sum Squared Residuals305.97749805722


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12626.3542154189932-0.354215418993183
22020.6286992886283-0.628699288628332
32423.969320645680.0306793543199644
42525.5900540264822-0.590054026482182
51511.44231970126023.5576802987398
61617.2172347689607-1.21723476896066
72020.7247203414358-0.724720341435792
81817.97296382949530.0270361705046694
91919.3897911352698-0.389791135269786
102020.1617631598452-0.161763159845179
113029.92501549730980.0749845026901775
123736.50681895517650.493181044823547
132320.39249474992032.60750525007973
143632.49696738669373.50303261330633
152929.1218457778079-0.12184577780788
163535.2055648978542-0.205564897854158
172424.5829134083647-0.582913408364675
182222.3707977771933-0.370797777193308
191919.3840669816301-0.384066981630068
203030.4178799410016-0.417879941001565
212726.35051622373070.64948377626932
222624.75081391944551.24918608055454
231515.2602422987806-0.260242298780607
243031.5991323061134-1.59913230611344
252828.3848290224322-0.384829022432186
262424.0646123774617-0.0646123774617056
272121.024015957442-0.0240159574420171
282727.3671495767882-0.367149576788186
292121.6645504163905-0.664550416390454
303030.1935943167521-0.193594316752058
313030.4639061718777-0.46390617187772
323331.13549107816771.86450892183229
333029.98510495197210.0148950480279407
342020.0630726782516-0.0630726782516288
352727.4895780119618-0.489578011961772
362524.81270631559920.187293684400849
373030.3470302339736-0.347030233973596
382020.4278100959692-0.42781009596923
3987.863852054906670.136147945093333
402424.6855357894329-0.685535789432872
412525.6770418753113-0.677041875311337
422524.48631067793090.513689322069137
432120.45064225233480.54935774766517
442121.1144734501863-0.114473450186282
452115.54461959808135.45538040191866
462626.5985934504485-0.598593450448496
472621.88534947164494.11465052835509
483029.9113839500350.0886160499649904
493434.0931827918395-0.093182791839532
503029.09180856448560.90819143551442
511820.9498711449311-2.94987114493111
5243.957705086613350.0422949133866516
533130.45241650537390.547583494626101
541818.0212966858795-0.0212966858794766
551414.2864881597134-0.286488159713442
562020.4824755986985-0.482475598698537
573636.3134732004268-0.313473200426845
582424.6726299196908-0.672629919690793
592624.913347786641.08665221336001
602222.2405489484457-0.24054894844571
613131.3401610319065-0.340161031906497
622120.83192984208850.168070157911545
633132.1910460627305-1.1910460627305
642626.3671146953214-0.367114695321432
652424.5228072400856-0.52280724008563
661515.818385860833-0.818385860833022
671919.6840409316817-0.68404093168166
682827.38727742691820.612722573081812
692424.545096810411-0.54509681041104
701818.5865907572425-0.586590757242508
712525.2473276055266-0.247327605526551
722020.3304502848202-0.330450284820236
732525.2689001428432-0.268900142843191
742424.5266210138332-0.526621013833236
752323.434247772615-0.434247772614989
762525.3642645439194-0.36426454391939
772020.547001325753-0.547001325753042
782323.2138892483159-0.213889248315945
792222.4047562942861-0.404756294286105
802525.2578598396921-0.257859839692068
811818.592260369948-0.592260369947996
823030.6024084787422-0.602408478742232
832222.2294785350885-0.229478535088544
842513.068390155754211.9316098442458
8588.11764696207448-0.11764696207448
862121.1631281973666-0.163128197366641
872222.1607756608096-0.16077566080957
882424.7151194543038-0.715119454303823
893026.10784480183423.89215519816576
902727.3175989699466-0.317598969946644
912423.75713152384160.242868476158369
922525.3110332763807-0.31103327638074
932120.91521462200050.0847853779994737
942424.5742728367704-0.574272836770382
952424.6005230695764-0.600523069576427
962020.4192311934071-0.419231193407075
972018.14585897167271.85414102832725
982424.6066230929815-0.606623092981483
994039.6877621349510.312237865049005
1002222.4144047942404-0.414404794240424
1013131.1881107254512-0.188110725451247
1022626.1125228628875-0.112522862887464
1032020.4606903268768-0.460690326876814
1041919.0055193660289-0.00551936602885669
1051515.5914388752944-0.591438875294432
1062121.2382425407108-0.238242540710826
1072222.2312926747232-0.231292674723168
1082424.6126865820455-0.612686582045525
1091920.0862059772661-1.08620597726607
1102425.240222295428-1.240222295428
1112323.5574150991022-0.557415099102191
1122726.32037051078870.679629489211345
11310.8863085238417440.113691476158256
1142424.2572054313386-0.257205431338613
115119.108505834351751.89149416564825
1162726.73527142663640.264728573363599
1172222.6757760182321-0.675776018232061
11800.889039684223047-0.889039684223047
1191716.4075654988720.592434501127978
12087.275195175477080.724804824522917
1212424.115768369782-0.115768369782002
1223130.37123453527310.628765464726945
1232424.4338900909938-0.433890090993805
1242019.06521497144440.934785028555636
12587.808385775146690.191614224853307
1262222.1423613775674-0.142361377567377
1273333.2684113387509-0.268411338750902
1283332.91790535717320.0820946428268075
1293131.5606699311921-0.560669931192141
1303333.5497708418105-0.549770841810507
1313535.164835313923-0.164835313922989
1322121.1923971199498-0.192397119949836
1332020.3416479489946-0.341647948994575
1342424.7345405812011-0.7345405812011
1352929.125020794501-0.125020794501
1362020.2914019508171-0.291401950817075
1372726.76706279093860.232937209061426
1382423.20221839095680.797781609043214
1392625.82913161856950.170868381430511
1402625.27753944180820.722460558191833
1411213.2476212665261-1.2476212665261
1422121.661992824493-0.661992824492982
1432424.2969595882737-0.296959588273738
1442121.2791698176-0.279169817599969
1453030.2352937632038-0.235293763203761
1463231.54565664366680.454343356333192
1472423.76388908415340.236110915846603
1482929.4518991279946-0.451899127994581
14900.843449171232773-0.843449171232773
15000.874189641881316-0.874189641881316
15100.844509574249306-0.844509574249306
15200.845950436714513-0.845950436714513
15300.843449171232773-0.843449171232773
15400.843449171232773-0.843449171232773
1552019.94898573831180.0510142616882116
1562728.4374567320438-1.43745673204383
15700.843449171232773-0.843449171232773
15800.847413150735691-0.847413150735691
15900.858606408024472-0.858606408024472
16054.75123220381910.248767796180904
16111.89271720275282-0.892717202752816
1622321.86391574725661.13608425274341
16300.846705479785597-0.846705479785597
1641614.78391847553541.21608152446457


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.7894962878958540.4210074242082920.210503712104146
80.666956870217910.6660862595641790.33304312978209
90.5500119691752520.8999760616494970.449988030824748
100.4188465173239910.8376930346479820.581153482676009
110.4419028059119860.8838056118239730.558097194088014
120.4669387731104130.9338775462208270.533061226889587
130.6197503699533970.7604992600932050.380249630046603
140.9040891755971740.1918216488056520.095910824402826
150.866777367795010.2664452644099790.133222632204989
160.818912101060840.362175797878320.18108789893916
170.7961400891102850.4077198217794310.203859910889715
180.7359635628275370.5280728743449260.264036437172463
190.6855357980543450.628928403891310.314464201945655
200.6360112731339860.7279774537320280.363988726866014
210.5695282884378780.8609434231242440.430471711562122
220.5198562625590830.9602874748818330.480143737440916
230.4651165101517390.9302330203034790.534883489848261
240.5193845641584630.9612308716830740.480615435841537
250.4535835057015540.9071670114031070.546416494298446
260.3887800346140010.7775600692280020.611219965386
270.3268728050757110.6537456101514210.673127194924289
280.2766395106503040.5532790213006080.723360489349696
290.2431669835949440.4863339671898880.756833016405056
300.2004820226641160.4009640453282320.799517977335884
310.1654909083277950.3309818166555890.834509091672205
320.2073002222842270.4146004445684550.792699777715772
330.1667112366070330.3334224732140660.833288763392967
340.1322936419990640.2645872839981280.867706358000936
350.1110761059147880.2221522118295770.888923894085212
360.0856230683616870.1712461367233740.914376931638313
370.06641992620726840.1328398524145370.933580073792732
380.05177216072848370.1035443214569670.948227839271516
390.03823633821997610.07647267643995210.961763661780024
400.02905110894276120.05810221788552250.970948891057239
410.02363366522226750.04726733044453490.976366334777732
420.01751417407961590.03502834815923190.982485825920384
430.01297539834547980.02595079669095960.98702460165452
440.009121185200085060.01824237040017010.990878814799915
450.3485008825538070.6970017651076140.651499117446193
460.3081332646281550.6162665292563110.691866735371845
470.639209255128940.721581489742120.36079074487106
480.5911855496782010.8176289006435980.408814450321799
490.5421267275379360.9157465449241280.457873272462064
500.5104625816105940.9790748367788130.489537418389406
510.7069264852987030.5861470294025930.293073514701297
520.6731979786300030.6536040427399930.326802021369997
530.6387523659067310.7224952681865370.361247634093269
540.596123334988940.807753330022120.40387666501106
550.5571822518468050.8856354963063890.442817748153194
560.516295803492210.9674083930155810.48370419650779
570.470033086533540.940066173067080.52996691346646
580.4354616306801370.8709232613602740.564538369319863
590.4170639061557960.8341278123115920.582936093844204
600.3743133775674140.7486267551348270.625686622432586
610.331889114979530.663778229959060.66811088502047
620.2902947976220630.5805895952441250.709705202377937
630.2803469181119460.5606938362238910.719653081888054
640.245028407588180.490056815176360.75497159241182
650.2157656067933770.4315312135867550.784234393206623
660.1996895974120540.3993791948241080.800310402587946
670.1795209027510720.3590418055021440.820479097248928
680.1555374265314430.3110748530628860.844462573468557
690.1338243521220270.2676487042440530.866175647877973
700.1165737468334750.233147493666950.883426253166525
710.0963158029112110.1926316058224220.903684197088789
720.0799992671445530.1599985342891060.920000732855447
730.06487092180576160.1297418436115230.935129078194238
740.05340375203121290.1068075040624260.946596247968787
750.043329637247450.08665927449490.95667036275255
760.03429701706417740.06859403412835490.965702982935823
770.02765570457188740.05531140914377480.972344295428113
780.02136906671239060.04273813342478130.97863093328761
790.01668298996709730.03336597993419460.983317010032903
800.01261439843257770.02522879686515550.987385601567422
810.01001346391398180.02002692782796350.989986536086018
820.00776186840915740.01552373681831480.992238131590843
830.005699706039987790.01139941207997560.994300293960012
840.9999999999912221.75559208350561e-118.77796041752803e-12
850.9999999999831773.36463099042285e-111.68231549521143e-11
860.9999999999629897.40225576517483e-113.70112788258742e-11
870.9999999999196591.60682429473428e-108.03412147367142e-11
880.9999999998484623.03075432087786e-101.51537716043893e-10
890.9999999999999992.61726581306073e-151.30863290653037e-15
900.9999999999999976.74203980680771e-153.37101990340385e-15
910.9999999999999921.61307727135695e-148.06538635678474e-15
920.999999999999984.04248161740396e-142.02124080870198e-14
930.9999999999999491.01659582400991e-135.08297912004956e-14
940.9999999999998942.12133585959745e-131.06066792979873e-13
950.9999999999997854.30143532975456e-132.15071766487728e-13
960.9999999999995249.51416636640106e-134.75708318320053e-13
970.9999999999999774.58713765892047e-142.29356882946024e-14
980.999999999999959.85558622936485e-144.92779311468243e-14
990.9999999999998842.31835651176547e-131.15917825588274e-13
1000.9999999999997045.91444494590033e-132.95722247295017e-13
1010.9999999999992551.49029719722803e-127.45148598614017e-13
1020.9999999999980783.84452509557775e-121.92226254778887e-12
1030.9999999999954979.00632999128322e-124.50316499564161e-12
1040.9999999999887062.25888234161409e-111.12944117080704e-11
1050.9999999999760844.78321084759603e-112.39160542379802e-11
1060.9999999999434581.13084403303142e-105.65422016515708e-11
1070.9999999998667272.66546238049894e-101.33273119024947e-10
1080.9999999997328735.34254000832913e-102.67127000416457e-10
1090.999999999765344.69319733269317e-102.34659866634658e-10
1100.9999999998633932.73213317392261e-101.36606658696131e-10
1110.999999999729325.41360853635326e-102.70680426817663e-10
1120.9999999995673278.65346745890074e-104.32673372945037e-10
1130.999999999275661.44867804389409e-097.24339021947047e-10
1140.9999999983369033.32619392704599e-091.663096963523e-09
1150.9999999999796074.07852795492651e-112.03926397746325e-11
1160.9999999999454031.09193682551349e-105.45968412756743e-11
1170.9999999998724352.55129991398824e-101.27564995699412e-10
1180.9999999997487625.02476836660985e-102.51238418330492e-10
1190.9999999997764124.47176830084345e-102.23588415042172e-10
1200.9999999998819692.36062677024017e-101.18031338512009e-10
1210.9999999996893666.21267666061037e-103.10633833030518e-10
1220.999999999346171.30765886055297e-096.53829430276483e-10
1230.9999999987492352.50152915912835e-091.25076457956417e-09
1240.9999999991461641.70767139831622e-098.5383569915811e-10
1250.999999998829372.34125925850234e-091.17062962925117e-09
1260.999999996819896.36021982829593e-093.18010991414796e-09
1270.9999999931441871.37116267718053e-086.85581338590264e-09
1280.9999999831829843.36340317298718e-081.68170158649359e-08
1290.9999999721730795.5653842563464e-082.7826921281732e-08
1300.9999999658912766.82174475669725e-083.41087237834863e-08
1310.999999927935691.44128618422923e-077.20643092114614e-08
1320.9999998222632273.55473545041109e-071.77736772520554e-07
1330.9999996161512977.67697405588156e-073.83848702794078e-07
1340.9999992717652541.45646949115968e-067.28234745579838e-07
1350.9999983953672653.20926546940118e-061.60463273470059e-06
1360.9999974957750165.00844996768482e-062.50422498384241e-06
1370.999996049898867.90020227863696e-063.95010113931848e-06
1380.9999957677836628.46443267645796e-064.23221633822898e-06
1390.9999911365344811.7726931037629e-058.86346551881451e-06
1400.9999867397491152.65205017698107e-051.32602508849054e-05
1410.9999793075808274.1384838345998e-052.0692419172999e-05
1420.9999484508010080.0001030983979849015.15491989924507e-05
1430.9998865024959170.0002269950081666480.000113497504083324
1440.9997424908460820.0005150183078369010.00025750915391845
1450.9995104612610430.0009790774779139380.000489538738956969
1460.9988983160429350.00220336791412910.00110168395706455
1470.9975362898480990.004927420303801690.00246371015190084
1480.9969945111743430.00601097765131460.0030054888256573
1490.9940718763721510.01185624725569720.00592812362784858
1500.988229723151860.02354055369628140.0117702768481407
1510.9769248827830330.04615023443393470.0230751172169673
1520.9555966895191620.08880662096167680.0444033104808384
1530.9228508958436750.1542982083126490.0771491041563246
1540.8728625998339760.2542748003320480.127137400166024
1550.8827472588970890.2345054822058230.117252741102911
1560.9997764587649850.0004470824700304370.000223541235015219
1570.9995081832974540.0009836334050926650.000491816702546332


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level670.443708609271523NOK
5% type I error level800.529801324503311NOK
10% type I error level860.56953642384106NOK