Multiple Linear Regression - Estimated Regression Equation
Rente[t] = + 3.4123673351131 -1.02250061050061Crisis[t] -0.00519111773349061t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3.41236733511310.18460918.484300
Crisis-1.022500610500610.32887-3.10910.0023650.001183
t-0.005191117733490610.003023-1.71720.0886290.044315


Multiple Linear Regression - Regression Statistics
Multiple R0.429926643221723
R-squared0.184836918551899
Adjusted R-squared0.170660169309323
F-TEST (value)13.0380325834357
F-TEST (DF numerator)2
F-TEST (DF denominator)115
p-value7.88059275047548e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.939757546594498
Sum Squared Residuals101.561588333851


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
133.40717621737961-0.407176217379612
23.213.40198509964612-0.191985099646117
33.373.39679398191263-0.0267939819126257
43.513.391602864179140.118397135820865
53.753.386411746445640.363588253554355
64.113.381220628712150.728779371287846
74.253.376029510978660.873970489021337
84.253.370838393245170.879161606754827
94.53.365647275511681.13435272448832
104.73.360456157778191.33954384222181
114.753.35526504004471.3947349599553
124.753.350073922311211.39992607768879
134.753.344882804577721.40511719542228
144.753.339691686844231.41030831315577
154.753.334500569110741.41549943088926
164.753.329309451377251.42069054862275
174.583.324118333643761.25588166635624
184.53.318927215910271.18107278408973
194.53.313736098176781.18626390182322
204.493.308544980443291.18145501955671
214.033.303353862709790.726646137290206
223.753.298162744976300.451837255023696
233.393.292971627242810.0970283727571866
243.253.28778050950932-0.0377805095093229
253.253.28258939177583-0.0325893917758323
263.253.27739827404234-0.0273982740423417
273.253.27220715630885-0.0222071563088511
283.253.26701603857536-0.0170160385753605
293.253.26182492084187-0.0118249208418698
303.253.25663380310838-0.00663380310837925
313.253.25144268537489-0.00144268537488863
323.253.24625156764140.00374843235860198
333.253.241060449907910.0089395500920926
343.253.235869332174420.0141306678255832
353.253.230678214440930.0193217855590738
362.853.22548709670744-0.375487096707435
372.753.22029597897395-0.470295978973945
382.753.21510486124045-0.465104861240454
392.553.20991374350696-0.659913743506964
402.53.20472262577347-0.704722625773473
412.53.19953150803998-0.699531508039982
422.13.19434039030649-1.09434039030649
4323.189149272573-1.18914927257300
4423.18395815483951-1.18395815483951
4523.17876703710602-1.17876703710602
4623.17357591937253-1.17357591937253
4723.16838480163904-1.16838480163904
4823.16319368390555-1.16319368390555
4923.15800256617206-1.15800256617206
5023.15281144843857-1.15281144843857
5123.14762033070508-1.14762033070508
5223.14242921297159-1.14242921297159
5323.13723809523810-1.13723809523810
5423.13204697750460-1.13204697750460
5523.12685585977111-1.12685585977111
5623.12166474203762-1.12166474203762
5723.11647362430413-1.11647362430413
5823.11128250657064-1.11128250657064
5923.10609138883715-1.10609138883715
6023.10090027110366-1.10090027110366
6123.09570915337017-1.09570915337017
6223.09051803563668-1.09051803563668
6323.08532691790319-1.08532691790319
6423.0801358001697-1.08013580016970
6523.07494468243621-1.07494468243621
6623.06975356470272-1.06975356470272
6723.06456244696923-1.06456244696923
6823.05937132923574-1.05937132923574
6923.05418021150225-1.05418021150225
7023.04898909376875-1.04898909376875
7123.04379797603526-1.04379797603526
722.213.03860685830177-0.828606858301773
732.253.03341574056828-0.783415740568283
742.253.02822462283479-0.778224622834792
752.453.0230335051013-0.573033505101301
762.53.01784238736781-0.517842387367811
772.53.01265126963432-0.51265126963432
782.643.00746015190083-0.36746015190083
792.753.00226903416734-0.252269034167339
802.932.99707791643385-0.0670779164338484
8132.991886798700360.00811320129964208
823.172.986695680966870.183304319033133
833.252.981504563233380.268495436766623
843.392.976313445499890.413686554500114
853.52.971122327766400.528877672233605
863.52.965931210032900.534068789967095
873.652.960740092299410.689259907700586
883.752.955548974565920.794451025434076
893.752.950357856832430.799642143167567
903.92.945166739098940.954833260901058
9142.939975621365451.06002437863455
9242.934784503631961.06521549636804
9342.929593385898471.07040661410153
9442.924402268164981.07559773183502
9542.919211150431491.08078884956851
9642.9140200326981.085979967302
9742.908828914964511.09117108503549
9842.903637797231021.09636220276898
9942.898446679497531.10155332050247
10042.893255561764041.10674443823596
10142.888064444030551.11193555596945
10242.882873326297061.11712667370294
1034.182.877682208563561.30231779143644
1044.252.872491090830071.37750890916993
1054.252.867299973096581.38270002690342
1063.971.839608244862482.13039175513752
1073.421.834417127128991.58558287287101
1082.751.82922600939550.920773990604499
1092.311.824034891662010.48596510833799
11021.818843773928520.181156226071481
1111.661.81365265619503-0.153652656195029
1121.311.80846153846154-0.498461538461538
1131.091.80327042072805-0.713270420728048
11411.79807930299456-0.798079302994557
11511.79288818526107-0.792888185261066
11611.78769706752758-0.787697067527576
11711.78250594979409-0.782505949794085
11811.77731483206059-0.777314832060595


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.0009713878728430950.001942775745686190.999028612127157
77.35515331372912e-050.0001471030662745820.999926448466863
82.8241034445162e-055.6482068890324e-050.999971758965555
92.94006454644653e-065.88012909289306e-060.999997059935454
102.72979265341373e-075.45958530682745e-070.999999727020735
118.08531968728179e-081.61706393745636e-070.999999919146803
121.47357211653919e-072.94714423307839e-070.999999852642788
133.90427832884037e-077.80855665768074e-070.999999609572167
149.32911474175559e-071.86582294835112e-060.999999067088526
151.94273976002411e-063.88547952004821e-060.99999805726024
163.67953657731059e-067.35907315462119e-060.999996320463423
171.69941875235039e-053.39883750470078e-050.999983005812477
186.32385197705247e-050.0001264770395410490.99993676148023
190.0001497119264445670.0002994238528891330.999850288073555
200.0003024678216225050.000604935643245010.999697532178377
210.002058196761358680.004116393522717350.997941803238641
220.01144756295134990.02289512590269990.98855243704865
230.0512760405256360.1025520810512720.948723959474364
240.1209521501844330.2419043003688660.879047849815567
250.1846309599966060.3692619199932110.815369040003394
260.2318652347786750.4637304695573490.768134765221326
270.263681005466730.527362010933460.73631899453327
280.2842492381815210.5684984763630420.715750761818479
290.2978907491040050.5957814982080110.702109250895995
300.3083835569751360.6167671139502710.691616443024864
310.3190013213402280.6380026426804550.680998678659772
320.3327625544270420.6655251088540830.667237445572958
330.3527540319777410.7055080639554820.647245968022259
340.3824996117389650.764999223477930.617500388261035
350.4263306469626120.8526612939252240.573669353037388
360.4627877443990570.9255754887981150.537212255600943
370.4984919913450140.9969839826900270.501508008654986
380.5336336560197470.9327326879605060.466366343980253
390.5656829489234270.8686341021531450.434317051076573
400.5926231337680810.8147537324638390.407376866231919
410.6163238735683730.7673522528632530.383676126431627
420.6402951039024290.7194097921951420.359704896097571
430.6544127085695470.6911745828609060.345587291430453
440.654037031826560.6919259363468810.345962968173441
450.6428259062703940.7143481874592110.357174093729606
460.6231530356046450.753693928790710.376846964395355
470.5967168030400920.8065663939198160.403283196959908
480.5648870865472920.8702258269054160.435112913452708
490.5288885816537690.9422228366924620.471111418346231
500.4898830057135160.9797660114270310.510116994286484
510.4489896911052740.8979793822105480.551010308894726
520.4072715059550320.8145430119100630.592728494044968
530.3657054911552560.7314109823105120.634294508844744
540.3251519076054490.6503038152108980.674848092394551
550.2863303366395530.5726606732791070.713669663360447
560.2498069902832220.4996139805664450.750193009716778
570.2159937989340950.431987597868190.784006201065905
580.1851574366750790.3703148733501580.814842563324921
590.1574352605883780.3148705211767560.842564739411622
600.1328549822314950.265709964462990.867145017768505
610.1113554209879270.2227108419758540.888644579012073
620.09280655326778820.1856131065355760.907193446732212
630.07702797508666190.1540559501733240.922972024913338
640.06380565087362270.1276113017472450.936194349126377
650.05290735839905140.1058147167981030.947092641600949
660.04409760652418630.08819521304837260.955902393475814
670.03715317736490220.07430635472980440.962846822635098
680.03188119585793260.06376239171586520.968118804142067
690.02814351633744860.05628703267489720.971856483662551
700.02589600671118680.05179201342237350.974103993288813
710.02526372924488960.05052745848977910.97473627075511
720.02668144118412260.05336288236824510.973318558815877
730.02965880065474480.05931760130948970.970341199345255
740.03481615484416080.06963230968832160.96518384515584
750.04400627755373680.08801255510747350.955993722446263
760.05750030236430350.1150006047286070.942499697635697
770.07784213440024650.1556842688004930.922157865599754
780.1089296985097910.2178593970195820.89107030149021
790.1542749640962690.3085499281925370.845725035903731
800.2161110278458520.4322220556917040.783888972154148
810.2943912587772880.5887825175545770.705608741222712
820.3854990618045860.7709981236091730.614500938195414
830.4834782445131070.9669564890262150.516521755486893
840.5796493409670240.8407013180659530.420350659032976
850.6668407528662580.6663184942674840.333159247133742
860.7471515128500140.5056969742999710.252848487149986
870.8113436981348790.3773126037302430.188656301865121
880.860734682502770.2785306349944610.139265317497230
890.9018531470.1962937059999980.0981468529999992
900.9291333406529670.1417333186940650.0708666593470327
910.9470423436695840.1059153126608320.052957656330416
920.9606711031378030.07865779372439330.0393288968621967
930.971304757340010.05739048531997790.0286952426599889
940.9796275169735860.04074496605282860.0203724830264143
950.986006907695790.02798618460842010.0139930923042100
960.990693376652590.01861324669481970.00930662334740985
970.9939422759740330.01211544805193480.00605772402596739
980.9960511326550180.00789773468996340.0039488673449817
990.9973291249334040.005341750133191960.00267087506659598
1000.9980442836152980.003911432769403390.00195571638470169
1010.9983914146177350.003217170764530350.00160858538226517
1020.9984995060640120.003000987871975520.00150049393598776
1030.9976500527279790.004699894544042610.00234994727202130
1040.9954712057490570.00905758850188690.00452879425094345
1050.9908188519017660.01836229619646770.00918114809823386
1060.9957907652793050.008418469441390190.00420923472069509
1070.9986485767290810.002702846541837070.00135142327091854
1080.9990128642581440.001974271483711330.000987135741855664
1090.9989962543919550.002007491216090820.00100374560804541
1100.9993179591466570.001364081706685740.00068204085334287
1110.9997655216065530.0004689567868945350.000234478393447267
1120.9999210809260950.0001578381478101967.89190739050981e-05


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level300.280373831775701NOK
5% type I error level360.336448598130841NOK
10% type I error level480.448598130841121NOK