Multiple Linear Regression - Estimated Regression Equation
Used[t] = + 0.356467426045052 + 0.0721634226319372UseLimit[t] -0.0360058345990626`T/NT2/4`[t] + 0.681848041481079CorrectAnalysis[t] + 0.157652617765688Useful[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.3564674260450520.2038081.7490.0823450.041172
UseLimit0.07216342263193720.0693651.04030.2998670.149934
`T/NT2/4`-0.03600583459906260.030547-1.17870.2403940.120197
CorrectAnalysis0.6818480414810790.1246695.469300
Useful0.1576526177656880.0762332.0680.0403660.020183


Multiple Linear Regression - Regression Statistics
Multiple R0.495061061295095
R-squared0.245085454410625
Adjusted R-squared0.224819292112924
F-TEST (value)12.0933332522667
F-TEST (DF numerator)4
F-TEST (DF denominator)149
p-value1.54175840982873e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.401712094984529
Sum Squared Residuals24.044518481272


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
111.30428909595663-0.304289095956631
211.19611983872563-0.19611983872563
311.19611983872563-0.19611983872563
411.19611983872563-0.19611983872563
511.19611983872563-0.19611983872563
611.42593587912325-0.425935879123255
711.19611983872563-0.19611983872563
811.23212567332469-0.232125673324693
911.19611983872563-0.19611983872563
1011.26828326135757-0.268283261357567
1111.30428909595663-0.30428909595663
1211.19611983872563-0.19611983872563
1321.353772456491320.646227543508683
1411.30428909595663-0.30428909595663
1521.353772456491320.646227543508683
1621.389778291090380.61022170890962
1722.1437897552034-0.143789755203396
1811.30428909595663-0.30428909595663
1911.19611983872563-0.19611983872563
2022.07162633257146-0.0716263325714586
2111.42593587912325-0.425935879123255
2221.425935879123250.574064120876745
2311.35377245649132-0.353772456491318
2411.42593587912325-0.425935879123255
2521.232125673324690.767874326675308
2621.353772456491320.646227543508683
2711.26828326135757-0.268283261357567
2821.196119838725630.80388016127437
2911.19611983872563-0.19611983872563
3011.35377245649132-0.353772456491318
3111.19611983872563-0.19611983872563
3211.26828326135757-0.268283261357567
3311.42593587912325-0.425935879123255
3411.23212567332469-0.232125673324693
3511.19611983872563-0.19611983872563
3611.19611983872563-0.19611983872563
3721.461941713722320.538058286277683
3821.196119838725630.80388016127437
3911.35377245649132-0.353772456491318
4011.38977829109038-0.38977829109038
4122.0356204979724-0.035620497972396
4221.196119838725630.80388016127437
4311.42593587912325-0.425935879123255
4411.30428909595663-0.30428909595663
4511.35377245649132-0.353772456491318
4611.35377245649132-0.353772456491318
4711.19611983872563-0.19611983872563
4811.19611983872563-0.19611983872563
4911.35377245649132-0.353772456491318
5011.19611983872563-0.19611983872563
5121.232125673324690.767874326675308
5222.1437897552034-0.143789755203396
5311.19611983872563-0.19611983872563
5421.877967880206710.122032119793292
5511.19611983872563-0.19611983872563
5621.232125673324690.767874326675308
5721.353772456491320.646227543508683
5811.19611983872563-0.19611983872563
5911.19611983872563-0.19611983872563
6022.1437897552034-0.143789755203396
6111.30428909595663-0.30428909595663
6221.353772456491320.646227543508683
6311.19611983872563-0.19611983872563
6411.30428909595663-0.30428909595663
6511.19611983872563-0.19611983872563
6611.19611983872563-0.19611983872563
6722.07162633257146-0.0716263325714586
6811.26828326135757-0.268283261357567
6911.19611983872563-0.19611983872563
7021.196119838725630.80388016127437
7111.19611983872563-0.19611983872563
7211.19611983872563-0.19611983872563
7321.196119838725630.80388016127437
7421.268283261357570.731716738642433
7511.19611983872563-0.19611983872563
7611.38977829109038-0.38977829109038
7711.19611983872563-0.19611983872563
7821.353772456491320.646227543508683
7921.913973714805770.0860262851942289
8011.38977829109038-0.38977829109038
8111.19611983872563-0.19611983872563
8221.268283261357570.731716738642433
8311.19611983872563-0.19611983872563
8421.877967880206710.122032119793292
8511.35377245649132-0.353772456491318
8611.26828326135757-0.268283261357567
8711.19627159215944-0.196271592159442
8821.23227742675850.767722573241495
8911.1241081695275-0.124108169527505
9011.1241081695275-0.124108169527505
9111.28176078729319-0.281760787293192
9211.2322774267585-0.232277426758505
9311.35392420992513-0.35392420992513
9411.1241081695275-0.124108169527505
9511.16011400412657-0.160114004126567
9611.1241081695275-0.124108169527505
9711.2322774267585-0.232277426758505
9811.1241081695275-0.124108169527505
9911.19627159215944-0.196271592159442
10011.1241081695275-0.124108169527505
10111.19627159215944-0.196271592159442
10211.1241081695275-0.124108169527505
10311.1241081695275-0.124108169527505
10411.1241081695275-0.124108169527505
10521.160114004126570.839885995873433
10611.1241081695275-0.124108169527505
10711.1241081695275-0.124108169527505
10821.23227742675850.767722573241495
10911.1241081695275-0.124108169527505
11011.19627159215944-0.196271592159442
11121.389930044524190.610069955475808
11211.16011400412657-0.160114004126567
11321.12410816952750.875891830472495
11421.23227742675850.767722573241495
11511.19627159215944-0.196271592159442
11611.1241081695275-0.124108169527505
11711.19627159215944-0.196271592159442
11811.19627159215944-0.196271592159442
11911.1241081695275-0.124108169527505
12011.1241081695275-0.124108169527505
12111.19627159215944-0.196271592159442
12211.1241081695275-0.124108169527505
12321.23227742675850.767722573241495
12421.281760787293190.718239212706808
12511.1241081695275-0.124108169527505
12611.16011400412657-0.160114004126567
12711.28176078729319-0.281760787293192
12811.1241081695275-0.124108169527505
12911.1241081695275-0.124108169527505
13011.1241081695275-0.124108169527505
13111.19627159215944-0.196271592159442
13211.19627159215944-0.196271592159442
13321.196271592159440.803728407840558
13411.1241081695275-0.124108169527505
13511.1241081695275-0.124108169527505
13611.1241081695275-0.124108169527505
13721.353924209925130.646075790074871
13821.389930044524190.610069955475808
13911.16011400412657-0.160114004126567
14011.1241081695275-0.124108169527505
14121.805956211008580.194043788991417
14221.160114004126570.839885995873433
14311.19627159215944-0.196271592159442
14411.28176078729319-0.281760787293192
14511.28176078729319-0.281760787293192
14611.16011400412657-0.160114004126567
14721.160114004126570.839885995873433
14811.16011400412657-0.160114004126567
14911.19627159215944-0.196271592159442
15011.28176078729319-0.281760787293192
15111.1241081695275-0.124108169527505
15221.878119633640520.12188036635948
15322.03577225140621-0.0357722514062079
15421.196271592159440.803728407840558


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
81.07092504481293e-942.14185008962585e-941
92.0274008457432e-1274.05480169148641e-1271
104.16863209633528e-808.33726419267056e-801
111.17696998125196e-992.35393996250392e-991
121.11384422061901e-1082.22768844123803e-1081
130.02917274654386630.05834549308773260.970827253456134
140.01478527095658590.02957054191317180.985214729043414
150.0166494600928850.03329892018577010.983350539907115
160.0088264478096930.0176528956193860.991173552190307
170.004167814949398380.008335629898796760.995832185050602
180.002042228123144060.004084456246288130.997957771876856
190.0009191231509770150.001838246301954030.999080876849023
200.0006107545641267280.001221509128253460.999389245435873
210.001794517029862890.003589034059725780.998205482970137
220.009528833574814260.01905766714962850.990471166425186
230.04630454629368980.09260909258737950.95369545370631
240.05243867991628720.1048773598325740.947561320083713
250.1343283372817080.2686566745634170.865671662718292
260.1430585819605690.2861171639211390.856941418039431
270.1288431436263380.2576862872526750.871156856373662
280.3600885109660840.7201770219321670.639911489033916
290.3097378956023150.619475791204630.690262104397685
300.3923449742494730.7846899484989470.607655025750527
310.3401979433060590.6803958866121190.659802056693941
320.3022909078527770.6045818157055540.697709092147223
330.2872727630341990.5745455260683980.712727236965801
340.2792249516079120.5584499032158230.720775048392089
350.2370112910466640.4740225820933270.762988708953336
360.1987158864645750.397431772929150.801284113535425
370.2132417225984530.4264834451969050.786758277401547
380.4206956901003150.8413913802006310.579304309899685
390.4623155934691720.9246311869383440.537684406530828
400.5533070260406630.8933859479186730.446692973959337
410.499093759399390.998187518798780.50090624060061
420.6675470662748980.6649058674502040.332452933725102
430.655317422779250.68936515444150.34468257722075
440.6263882141271990.7472235717456010.373611785872801
450.6353844885892510.7292310228214990.364615511410749
460.6383278619500510.7233442760998990.361672138049949
470.5994804941432290.8010390117135430.400519505856771
480.5595787257492680.8808425485014640.440421274250732
490.5591604714308280.8816790571383450.440839528569172
500.5190126649804070.9619746700391870.480987335019593
510.6100516764431850.7798966471136290.389948323556815
520.572312854931290.855374290137420.42768714506871
530.5327284780604770.9345430438790470.467271521939523
540.4972426993981280.9944853987962560.502757300601872
550.458405678169510.9168113563390210.54159432183049
560.540325193541110.9193496129177790.45967480645889
570.6071964201830560.7856071596338890.392803579816944
580.5691448460145280.8617103079709440.430855153985472
590.5305078656787270.9389842686425470.469492134321273
600.4954968193558950.9909936387117890.504503180644105
610.4842671849464430.9685343698928860.515732815053557
620.5471640110366460.9056719779267090.452835988963354
630.5098434060738250.9803131878523490.490156593926175
640.5069380193002870.9861239613994250.493061980699713
650.4716917798817830.9433835597635660.528308220118217
660.4372392483129070.8744784966258140.562760751687093
670.4060261438159410.8120522876318830.593973856184059
680.4004353394561770.8008706789123530.599564660543823
690.3703093551651060.7406187103302120.629690644834894
700.51973928605040.96052142789920.4802607139496
710.4882740396547140.9765480793094290.511725960345286
720.4579892208244510.9159784416489020.542010779175549
730.6024213232976170.7951573534047670.397578676702383
740.7413815297599310.5172369404801380.258618470240069
750.7145186111960350.5709627776079310.285481388803965
760.7516296649591680.4967406700816630.248370335040832
770.729827875764240.5403442484715210.27017212423576
780.7718951675650490.4562096648699020.228104832434951
790.7373513659761260.5252972680477470.262648634023874
800.7819036636378110.4361926727243780.218096336362189
810.7716834990586210.4566330018827570.228316500941379
820.8323032058513430.3353935882973140.167696794148657
830.8254044709853470.3491910580293060.174595529014653
840.8002348667241980.3995302665516030.199765133275802
850.8480666325176170.3038667349647660.151933367482383
860.9076918741406250.184616251718750.092308125859375
870.8902404378675090.2195191242649820.109759562132491
880.924410637598210.1511787248035810.0755893624017903
890.9069895415358810.1860209169282380.0930104584641189
900.8861957517721570.2276084964556850.113804248227843
910.8721518964178970.2556962071642060.127848103582103
920.8877006168864860.2245987662270280.112299383113514
930.8900826757801840.2198346484396320.109917324219816
940.8653685586902620.2692628826194760.134631441309738
950.8628268114559030.2743463770881930.137173188544097
960.8338841703062340.3322316593875320.166115829693766
970.8719875410064950.2560249179870090.128012458993505
980.8439477046513310.3121045906973380.156052295348669
990.8223872826394740.3552254347210520.177612717360526
1000.7877137950018790.4245724099962410.212286204998121
1010.7633437451505870.4733125096988270.236656254849413
1020.7224300028045720.5551399943908560.277569997195428
1030.678138255291130.6437234894177390.32186174470887
1040.6309452594124840.7381094811750330.369054740587516
1050.7245783835143780.5508432329712430.275421616485622
1060.6797059245983240.6405881508033530.320294075401676
1070.6317660837695160.7364678324609680.368233916230484
1080.6799160379156370.6401679241687260.320083962084363
1090.6313960736276280.7372078527447440.368603926372372
1100.6008097279323240.7983805441353510.399190272067676
1110.5975262248624980.8049475502750050.402473775137502
1120.5913173938015890.8173652123968220.408682606198411
1130.8414411227674720.3171177544650560.158558877232528
1140.8566047722944220.2867904554111560.143395227705578
1150.8370717809403170.3258564381193660.162928219059683
1160.7999359576454670.4001280847090660.200064042354533
1170.7785990802753240.4428018394493520.221400919724676
1180.7606401042411620.4787197915176760.239359895758838
1190.713011355534180.5739772889316390.28698864446582
1200.6607693718633090.6784612562733820.339230628136691
1210.6453912083559420.7092175832881160.354608791644058
1220.5876564406835620.8246871186328760.412343559316438
1230.5971018875855620.8057962248288750.402898112414438
1240.7825921298762220.4348157402475550.217407870123778
1250.7326574739031230.5346850521937540.267342526096877
1260.7260634987551210.5478730024897570.273936501244879
1270.6756399798791320.6487200402417350.324360020120867
1280.6129600149907860.7740799700184280.387039985009214
1290.5461892576535420.9076214846929160.453810742346458
1300.4770285425123870.9540570850247730.522971457487613
1310.4699371106412320.9398742212824650.530062889358768
1320.4898226105154750.979645221030950.510177389484525
1330.5755284569157920.8489430861684150.424471543084208
1340.4986797235009140.9973594470018290.501320276499086
1350.4202339191358520.8404678382717040.579766080864148
1360.343155891939440.686311783878880.65684410806056
1370.4151012163077710.8302024326155420.584898783692229
1380.3857353207850340.7714706415700680.614264679214966
1390.3929876225081220.7859752450162440.607012377491878
1400.3079481407963650.615896281592730.692051859203635
1410.2405719944401350.481143988880270.759428005559865
1420.3222549005637830.6445098011275660.677745099436217
1430.3076384068589220.6152768137178440.692361593141078
1440.2104684346676720.4209368693353440.789531565332328
1450.128814009733160.257628019466320.87118599026684
1460.1043010752487790.2086021504975590.895698924751221


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level100.0719424460431655NOK
5% type I error level140.100719424460432NOK
10% type I error level160.115107913669065NOK