Multiple Linear Regression - Estimated Regression Equation
CorrectAnalysis [t] = -0.0347325778834464 + 0.220866418350756T40[t] + 0.00184631758244026t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.03473257788344640.067781-0.51240.6097170.304859
T400.2208664183507560.0715083.08870.0027350.001367
t0.001846317582440260.0012751.44810.1513620.075681


Multiple Linear Regression - Regression Statistics
Multiple R0.342613978712953
R-squared0.11738433840952
Adjusted R-squared0.0961164911422794
F-TEST (value)5.51933333611674
F-TEST (DF numerator)2
F-TEST (DF denominator)83
p-value0.00561723541576875
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.29272792904506
Sum Squared Residuals7.1122401567698


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
100.18798015804975-0.18798015804975
20-0.0310399427185660.031039942718566
30-0.02919362513612570.0291936251361257
40-0.02734730755368540.0273473075536854
50-0.02550098997124510.0255009899712451
60-0.02365467238880480.0236546723888048
70-0.02180835480636460.0218083548063646
800.200904381126832-0.200904381126832
90-0.01811571964148410.0181157196414841
100-0.01626940205904380.0162694020590438
1100.206443333874152-0.206443333874152
120-0.01257676689416330.0125767668941633
130-0.0107304493117230.010730449311723
1400.211982286621473-0.211982286621473
150-0.007037814146842530.00703781414684253
1600.215674921786354-0.215674921786354
1710.2175212393687940.782478760631206
1800.219367556951234-0.219367556951234
1900.000347456182918498-0.000347456182918498
2010.2230601921161150.776939807883885
2100.00404009134779901-0.00404009134779901
2200.00588640893023927-0.00588640893023927
2300.00773272651267953-0.00773272651267953
2400.00957904409511979-0.00957904409511979
2500.232291780028316-0.232291780028316
2600.0132716792600003-0.0132716792600003
2700.0151179968424406-0.0151179968424406
2800.0169643144248808-0.0169643144248808
2900.0188106320073211-0.0188106320073211
3000.0206569495897613-0.0206569495897613
3100.0225032671722016-0.0225032671722016
3200.0243495847546418-0.0243495847546418
3300.0261959023370821-0.0261959023370821
3400.248908638270278-0.248908638270278
3500.0298885375019626-0.0298885375019626
3600.0317348550844029-0.0317348550844029
3700.254447591017599-0.254447591017599
3800.0354274902492834-0.0354274902492834
3900.0372738078317236-0.0372738078317236
4000.25998654376492-0.25998654376492
4110.04096644299660430.959033557003396
4200.0428127605790444-0.0428127605790444
4300.0446590781614847-0.0446590781614847
4400.267371814094681-0.267371814094681
4500.0483517133263652-0.0483517133263652
4600.0501980309088054-0.0501980309088054
4700.0520443484912457-0.0520443484912457
4800.0538906660736859-0.0538906660736859
4900.0557369836561262-0.0557369836561262
5000.0575833012385665-0.0575833012385665
5100.280296037171763-0.280296037171763
5210.2821423547542030.717857645245797
5300.0631222539858873-0.0631222539858873
5410.06496857156832760.935031428431672
5500.0668148891507678-0.0668148891507678
5600.289527625083964-0.289527625083964
5700.0705075243156483-0.0705075243156483
5800.0723538418980885-0.0723538418980885
5900.0742001594805288-0.0742001594805288
6010.2969128954137250.703087104586275
6100.298759212996165-0.298759212996165
6200.0797391122278496-0.0797391122278496
6300.0815854298102898-0.0815854298102898
6400.304298165743486-0.304298165743486
6500.0852780649751703-0.0852780649751703
6600.0871243825576106-0.0871243825576106
6710.3098371184908070.690162881509193
6800.0908170177224911-0.0908170177224911
6900.0926633353049313-0.0926633353049313
7000.0945096528873716-0.0945096528873716
7100.0963559704698119-0.0963559704698119
7200.0982022880522521-0.0982022880522521
7300.100048605634692-0.100048605634692
7400.101894923217133-0.101894923217133
7500.103741240799573-0.103741240799573
7600.326453976732769-0.326453976732769
7700.107433875964453-0.107433875964453
7800.109280193546894-0.109280193546894
7910.331992929480090.66800707051991
8000.33383924706253-0.33383924706253
8100.114819146294214-0.114819146294214
8200.116665463876655-0.116665463876655
8300.118511781459095-0.118511781459095
8410.1203580990415350.879641900958465
8500.122204416623975-0.122204416623975
8600.124050734206416-0.124050734206416


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
6001
7001
8001
9001
10001
11001
12001
13001
14001
15001
16001
170.1107570940163950.221514188032790.889242905983605
180.1034751938302420.2069503876604830.896524806169758
190.07424766107737260.1484953221547450.925752338922627
200.3754327091884140.7508654183768290.624567290811586
210.3297938504167020.6595877008334040.670206149583298
220.2794406540818490.5588813081636990.720559345918151
230.2298335794948020.4596671589896040.770166420505198
240.1839805064845190.3679610129690370.816019493515481
250.1900753597433860.3801507194867710.809924640256614
260.1469076055749240.2938152111498480.853092394425076
270.1107963396297390.2215926792594790.889203660370261
280.08155701539651310.1631140307930260.918442984603487
290.05860206448278350.1172041289655670.941397935517217
300.04110818968085170.08221637936170330.958891810319148
310.0281547686644620.0563095373289240.971845231335538
320.01882907163346650.03765814326693310.981170928366534
330.0122972513009870.02459450260197390.987702748699013
340.01138158939642010.02276317879284020.98861841060358
350.007219284462870820.01443856892574160.992780715537129
360.004475886502742170.008951773005484330.995524113497258
370.00385331722437930.007706634448758590.996146682775621
380.002330365059314310.004660730118628620.997669634940686
390.001380015213154570.002760030426309150.998619984786845
400.001171477900472360.002342955800944710.998828522099528
410.09092119543663760.1818423908732750.909078804563362
420.06856117952074090.1371223590414820.931438820479259
430.05060176491765590.1012035298353120.949398235082344
440.04828229918863350.0965645983772670.951717700811367
450.03470732573882410.06941465147764820.965292674261176
460.0244262779282840.0488525558565680.975573722071716
470.01683226685877020.03366453371754030.98316773314123
480.01136041607429160.02272083214858310.988639583925708
490.007513307081541130.01502661416308230.992486692918459
500.004873303366945120.009746606733890250.995126696633055
510.005133223470558680.01026644694111740.994866776529441
520.03556818931685930.07113637863371850.964431810683141
530.02529953585300890.05059907170601790.974700464146991
540.2989686244466530.5979372488933050.701031375553347
550.2503924054396160.5007848108792330.749607594560384
560.2573511723996010.5147023447992020.742648827600399
570.2097675882695790.4195351765391590.790232411730421
580.167186180977750.3343723619555010.83281381902225
590.1301221616995470.2602443233990950.869877838300453
600.3472979400566550.6945958801133090.652702059943346
610.3428493089557160.6856986179114310.657150691044284
620.2842085049134060.5684170098268120.715791495086594
630.2299319986850580.4598639973701170.770068001314942
640.2520774535835830.5041549071671650.747922546416417
650.1984624058236240.3969248116472470.801537594176376
660.1517248457158420.3034496914316840.848275154284158
670.3816047280959020.7632094561918040.618395271904098
680.3132995304476370.6265990608952730.686700469552363
690.2494202389633030.4988404779266070.750579761036697
700.1918799270201560.3837598540403120.808120072979844
710.1420979920854620.2841959841709250.857902007914538
720.1008673670401880.2017347340803770.899132632959811
730.06830764415797930.1366152883159590.931692355842021
740.04391499935861370.08782999871722750.956085000641386
750.02670851898912460.05341703797824930.973291481010875
760.0247376742398130.04947534847962590.975262325760187
770.01310521054103370.02621042108206750.986894789458966
780.006537364545481720.01307472909096340.993462635454518
790.04722402816169640.09444805632339280.952775971838304
800.02306370306440260.04612740612880520.976936296935597


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level170.226666666666667NOK
5% type I error level300.4NOK
10% type I error level390.52NOK