Multiple Linear Regression - Estimated Regression Equation
UseLimit[t] = + 0.235134338868033 + 0.289167525349813T40[t] -0.110382655507169Used[t] -0.0208324295233631CorrectAnalysis[t] + 0.0963805213140549Useful[t] -0.0621403911301808Outcome[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.2351343388680330.0778693.01960.0033960.001698
T400.2891675253498130.1135732.54610.0128130.006407
Used-0.1103826555071690.119794-0.92140.3595920.179796
CorrectAnalysis-0.02083242952336310.186514-0.11170.9113460.455673
Useful0.09638052131405490.1057720.91120.3649240.182462
Outcome-0.06214039113018080.097318-0.63850.5249540.262477


Multiple Linear Regression - Regression Statistics
Multiple R0.307272011961554
R-squared0.0944160893349011
Adjusted R-squared0.0378170949183324
F-TEST (value)1.66815842415854
F-TEST (DF numerator)5
F-TEST (DF denominator)80
p-value0.151854778810414
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.44255942628647
Sum Squared Residuals15.6687076636008


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
110.4621614730876660.537838526912334
200.235134338868033-0.235134338868033
300.235134338868033-0.235134338868033
400.235134338868033-0.235134338868033
500.235134338868033-0.235134338868033
610.2693744690519080.730625530948092
700.235134338868033-0.235134338868033
800.524301864217847-0.524301864217847
900.172993947737853-0.172993947737853
1010.2351343388680330.764865661131967
1110.5243018642178470.475698135782153
1200.235134338868033-0.235134338868033
1300.22113220467492-0.22113220467492
1410.5243018642178470.475698135782153
1500.158991813544739-0.158991813544739
1600.448159338894552-0.448159338894552
1710.489467300501370.51053269949863
1810.5243018642178470.475698135782153
1900.172993947737853-0.172993947737853
2000.427326909371189-0.427326909371189
2110.3315148601820880.668485139817912
2210.1589918135447390.841008186455261
2300.269374469051907-0.269374469051907
2410.2693744690519080.730625530948092
2500.351778817580497-0.351778817580497
2600.22113220467492-0.22113220467492
2710.1729939477378530.827006052262147
2800.124751683360865-0.124751683360865
2900.172993947737853-0.172993947737853
3000.331514860182088-0.331514860182088
3100.235134338868033-0.235134338868033
3210.2351343388680330.764865661131967
3310.3315148601820880.668485139817912
3400.462161473087666-0.462161473087666
3500.235134338868033-0.235134338868033
3600.235134338868033-0.235134338868033
3710.5102997300247330.489700269975267
3800.0626112922306838-0.0626112922306838
3900.269374469051907-0.269374469051907
4000.620682385531902-0.620682385531902
4100.138159384021376-0.138159384021376
4200.0626112922306838-0.0626112922306838
4310.2693744690519080.730625530948092
4410.5243018642178470.475698135782153
4500.331514860182088-0.331514860182088
4600.269374469051907-0.269374469051907
4700.235134338868033-0.235134338868033
4800.172993947737853-0.172993947737853
4900.269374469051907-0.269374469051907
5000.235134338868033-0.235134338868033
5100.413919208710678-0.413919208710678
5210.489467300501370.51053269949863
5300.172993947737853-0.172993947737853
5400.103919253837501-0.103919253837501
5500.235134338868033-0.235134338868033
5600.351778817580497-0.351778817580497
5700.158991813544739-0.158991813544739
5800.172993947737853-0.172993947737853
5900.172993947737853-0.172993947737853
6010.4273269093711890.572673090628811
6110.4621614730876660.537838526912334
6200.22113220467492-0.22113220467492
6300.235134338868033-0.235134338868033
6410.4621614730876660.537838526912334
6500.235134338868033-0.235134338868033
6600.235134338868033-0.235134338868033
6700.48946730050137-0.48946730050137
6810.2351343388680330.764865661131967
6900.172993947737853-0.172993947737853
7000.124751683360865-0.124751683360865
7100.235134338868033-0.235134338868033
7200.172993947737853-0.172993947737853
7300.0626112922306838-0.0626112922306838
7410.1247516833608650.875248316639135
7500.172993947737853-0.172993947737853
7600.558541994401721-0.558541994401721
7700.172993947737853-0.172993947737853
7800.158991813544739-0.158991813544739
7900.330946388057134-0.330946388057134
8000.620682385531902-0.620682385531902
8100.235134338868033-0.235134338868033
8210.06261129223068380.937388707769316
8300.235134338868033-0.235134338868033
8400.103919253837501-0.103919253837501
8500.269374469051907-0.269374469051907
8610.2351343388680330.764865661131967


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.3326224654070970.6652449308141930.667377534592903
100.8224196666472530.3551606667054930.177580333352747
110.812948583816280.3741028323674410.18705141618372
120.7253215167992980.5493569664014050.274678483200702
130.6220098998551490.7559802002897020.377990100144851
140.5734536367595590.8530927264808830.426546363240441
150.4698225465895210.9396450931790410.530177453410479
160.476771953940630.953543907881260.52322804605937
170.3991962675147130.7983925350294260.600803732485287
180.3671058271466970.7342116542933940.632894172853303
190.2906988570908380.5813977141816750.709301142909162
200.356919948211210.713839896422420.64308005178879
210.3201079433595320.6402158867190630.679892056640468
220.6668594656638830.6662810686722350.333140534336117
230.7409561842666250.518087631466750.259043815733375
240.7561275523794230.4877448952411540.243872447620577
250.7066672313234950.5866655373530090.293332768676505
260.6529882664133670.6940234671732670.347011733586633
270.8027215478176340.3945569043647330.197278452182366
280.7726021553441870.4547956893116260.227397844655813
290.7279471870798730.5441056258402530.272052812920127
300.7524165434184590.4951669131630820.247583456581541
310.7089248155321570.5821503689356860.291075184467843
320.809212141520830.3815757169583390.19078785847917
330.846553240586040.306893518827920.15344675941396
340.8612831669948360.2774336660103270.138716833005164
350.8324614791442350.3350770417115290.167538520855765
360.7990039304765610.4019921390468790.200996069523439
370.8083006706895740.3833986586208520.191699329310426
380.7706310420772610.4587379158454770.229368957922739
390.7599358605991180.4801282788017630.240064139400882
400.8215334073789950.356933185242010.178466592621005
410.7783677499480820.4432645001038350.221632250051918
420.7297253589369230.5405492821261540.270274641063077
430.8333824696470140.3332350607059710.166617530352986
440.8430457203477530.3139085593044940.156954279652247
450.8252801224315050.349439755136990.174719877568495
460.7980389225520730.4039221548958550.201961077447927
470.7578562234150520.4842875531698950.242143776584948
480.7098855364007590.5802289271984820.290114463599241
490.6679899517489740.6640200965020530.332010048251026
500.616434530151930.767130939696140.38356546984807
510.635663925861050.72867214827790.36433607413895
520.6920831005851460.6158337988297090.307916899414854
530.635994328414720.7280113431705610.36400567158528
540.5720410288360260.8559179423279470.427958971163974
550.5168543762020110.9662912475959780.483145623797989
560.6049124570620740.7901750858758520.395087542937926
570.5366950748726380.9266098502547250.463304925127362
580.4720443241910120.9440886483820250.527955675808988
590.4087783581967730.8175567163935460.591221641803227
600.6381652425234840.7236695149530310.361834757476516
610.6325853003564950.734829399287010.367414699643505
620.5632169579936170.8735660840127660.436783042006383
630.5090942756451590.9818114487096830.490905724354841
640.5806492694184330.8387014611631340.419350730581567
650.5288722945152590.9422554109694820.471127705484741
660.4830757029425230.9661514058850450.516924297057477
670.435299102061530.8705982041230610.56470089793847
680.6166225439082730.7667549121834540.383377456091727
690.5295736505854880.9408526988290230.470426349414512
700.6217656092049410.7564687815901180.378234390795059
710.5714363770768580.8571272458462840.428563622923142
720.4689846724183950.9379693448367890.531015327581605
730.5912592279259880.8174815441480250.408740772074012
740.5311682076783970.9376635846432060.468831792321603
750.4266234124505710.8532468249011420.573376587549429
760.3152496415587490.6304992831174980.684750358441251
770.2435982255660830.4871964511321660.756401774433917


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK