Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis[t] = -0.0319181784019129 + 0.00188134144911162UseLimit[t] + 0.151605961889671T40[t] + 0.293316929440121Used[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.03191817840191290.040351-0.7910.4312160.215608
UseLimit0.001881341449111620.0663390.02840.9774440.488722
T400.1516059618896710.0684982.21330.0296560.014828
Used0.2933169294401210.0623934.70111e-055e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.537264590863067
R-squared0.288653240595259
Adjusted R-squared0.262628359153622
F-TEST (value)11.0914334515832
F-TEST (DF numerator)3
F-TEST (DF denominator)82
p-value3.47168610426163e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.26439372536397
Sum Squared Residuals5.73213144497076


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.12156912493687-0.12156912493687
20-0.0319181784019130.031918178401913
30-0.0319181784019130.031918178401913
40-0.03191817840191310.0319181784019131
50-0.03191817840191290.0319181784019129
60-0.03003683695280130.0300368369528013
70-0.03191817840191290.0319181784019129
800.119687783487758-0.119687783487758
90-0.03191817840191290.0319181784019129
100-0.03003683695280130.0300368369528013
1100.12156912493687-0.12156912493687
120-0.03191817840191290.0319181784019129
1300.261398751038208-0.261398751038208
1400.12156912493687-0.12156912493687
1500.261398751038208-0.261398751038208
1600.413004712927879-0.413004712927879
1710.4148860543769910.585113945623009
1800.12156912493687-0.12156912493687
190-0.03191817840191290.0319181784019129
2010.4130047129278790.586995287072121
210-0.03003683695280130.0300368369528013
2200.26328009248732-0.26328009248732
230-0.03191817840191290.0319181784019129
240-0.03003683695280130.0300368369528013
2500.413004712927879-0.413004712927879
2600.261398751038208-0.261398751038208
270-0.03003683695280130.0300368369528013
2800.261398751038208-0.261398751038208
290-0.03191817840191290.0319181784019129
300-0.03191817840191290.0319181784019129
310-0.03191817840191290.0319181784019129
320-0.03003683695280130.0300368369528013
330-0.03003683695280130.0300368369528013
3400.119687783487758-0.119687783487758
350-0.03191817840191290.0319181784019129
360-0.03191817840191290.0319181784019129
3700.414886054376991-0.414886054376991
3800.261398751038208-0.261398751038208
390-0.03191817840191290.0319181784019129
4000.119687783487758-0.119687783487758
4110.2613987510382090.738601248961791
4200.261398751038208-0.261398751038208
430-0.03003683695280130.0300368369528013
4400.12156912493687-0.12156912493687
450-0.03191817840191290.0319181784019129
460-0.03191817840191290.0319181784019129
470-0.03191817840191290.0319181784019129
480-0.03191817840191290.0319181784019129
490-0.03191817840191290.0319181784019129
500-0.03191817840191290.0319181784019129
5100.413004712927879-0.413004712927879
5210.4148860543769910.585113945623009
530-0.03191817840191290.0319181784019129
5410.2613987510382090.738601248961791
550-0.03191817840191290.0319181784019129
5600.413004712927879-0.413004712927879
5700.261398751038208-0.261398751038208
580-0.03191817840191290.0319181784019129
590-0.03191817840191290.0319181784019129
6010.4148860543769910.585113945623009
6100.12156912493687-0.12156912493687
6200.261398751038208-0.261398751038208
630-0.03191817840191290.0319181784019129
6400.12156912493687-0.12156912493687
650-0.03191817840191290.0319181784019129
660-0.03191817840191290.0319181784019129
6710.4130047129278790.586995287072121
680-0.03003683695280130.0300368369528013
690-0.03191817840191290.0319181784019129
7000.261398751038208-0.261398751038208
710-0.03191817840191290.0319181784019129
720-0.03191817840191290.0319181784019129
7300.261398751038208-0.261398751038208
7400.26328009248732-0.26328009248732
750-0.03191817840191290.0319181784019129
7600.119687783487758-0.119687783487758
770-0.03191817840191290.0319181784019129
7800.261398751038208-0.261398751038208
7910.4130047129278790.586995287072121
8000.119687783487758-0.119687783487758
810-0.03191817840191290.0319181784019129
8200.26328009248732-0.26328009248732
830-0.03191817840191290.0319181784019129
8410.2613987510382090.738601248961791
850-0.03191817840191290.0319181784019129
860-0.03003683695280130.0300368369528013


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
7001
8001
9001
10001
11001
12001
13001
14001
15001
16001
170.1540156770667910.3080313541335810.845984322933209
180.1168105739954050.2336211479908090.883189426004595
190.08140091314814680.1628018262962940.918599086851853
200.4003439820437940.8006879640875880.599656017956206
210.324735376995720.649470753991440.67526462300428
220.3332548921254960.6665097842509920.666745107874504
230.2681449728953770.5362899457907540.731855027104623
240.2111103508278050.422220701655610.788889649172195
250.2843115920402770.5686231840805530.715688407959723
260.2604030679530950.520806135906190.739596932046905
270.2053239216873260.4106478433746520.794676078312674
280.1843588974877060.3687177949754120.815641102512294
290.1423602347569340.2847204695138680.857639765243066
300.1074238974328740.2148477948657490.892576102567125
310.07920469946110310.1584093989222060.920795300538897
320.0567224958045510.1134449916091020.943277504195449
330.03972256138991390.07944512277982780.960277438610086
340.02937944296067260.05875888592134510.970620557039327
350.01993336178235310.03986672356470620.980066638217647
360.01320889538234440.02641779076468870.986791104617656
370.0206181223587040.04123624471740810.979381877641296
380.01806313709910110.03612627419820230.981936862900899
390.01194544148382850.02389088296765710.988054558516171
400.008472543309080430.01694508661816090.99152745669092
410.1559287869312630.3118575738625250.844071213068737
420.1511364732070950.3022729464141890.848863526792905
430.1167782100714720.2335564201429450.883221789928528
440.0940685666407930.1881371332815860.905931433359207
450.0699434559545830.1398869119091660.930056544045417
460.05089038817846850.1017807763569370.949109611821532
470.03621979904359560.07243959808719130.963780200956404
480.02520702010844760.05041404021689520.974792979891552
490.01714798999194870.03429597998389740.982852010008051
500.01139934054338460.02279868108676910.988600659456615
510.02293622618037090.04587245236074190.977063773819629
520.08773695999414110.1754739199882820.912263040005859
530.06470745180547360.1294149036109470.935292548194526
540.3201538040344240.6403076080688490.679846195965576
550.2638150853097350.527630170619470.736184914690265
560.4381940203652710.8763880407305430.561805979634729
570.4531010974581590.9062021949163170.546898902541841
580.3872940051864690.7745880103729370.612705994813531
590.3243208738262980.6486417476525960.675679126173702
600.5333615305217150.9332769389565710.466638469478286
610.474441924150270.9488838483005390.52555807584973
620.4976994930621960.9953989861243910.502300506937804
630.424362910184860.848725820369720.57563708981514
640.3687206864696390.7374413729392790.631279313530361
650.2998216993033280.5996433986066570.700178300696672
660.2366521318100020.4733042636200030.763347868189998
670.3620866123815070.7241732247630140.637913387618493
680.3132926325000580.6265852650001160.686707367499942
690.2434646888771260.4869293777542520.756535311122874
700.2676453340322320.5352906680644630.732354665967768
710.1998138009622520.3996276019245040.800186199037748
720.1422279715114040.2844559430228080.857772028488596
730.2038901464886880.4077802929773760.796109853511312
740.176118006838960.352236013677920.82388199316104
750.116242451792540.2324849035850790.88375754820746
760.08589356927774740.1717871385554950.914106430722253
770.04839476618541370.09678953237082740.951605233814586
780.2395161075781010.4790322151562020.760483892421899
790.2277647302516150.4555294605032310.772235269748385


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level100.136986301369863NOK
5% type I error level190.26027397260274NOK
10% type I error level240.328767123287671NOK