Multiple Linear Regression - Estimated Regression Equation
BEL[t] = + 11057.7785292189 -0.085113796884315EUR[t] -0.492518455375056NIK[t] -0.0152886478362995DOW[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)11057.7785292189385.14271328.710900
EUR-0.0851137968843150.022508-3.78150.0001969.8e-05
NIK-0.4925184553750560.016163-30.472200
DOW-0.01528864783629950.034604-0.44180.6590120.329506


Multiple Linear Regression - Regression Statistics
Multiple R0.903819062859847
R-squared0.816888898388852
Adjusted R-squared0.814664876911794
F-TEST (value)367.302612324267
F-TEST (DF numerator)3
F-TEST (DF denominator)247
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1506.74965111212
Sum Squared Residuals560762744.248247


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11072.06-26.58864683465141098.64864683465
21145.11155.385222617303989.724777382697
31176.86372.509081685535804.350918314465
41206.41908.982737915375297.427262084625
51192.722240.87847450742-1048.15847450742
61214.821907.0879912022-692.267991202197
71199.072568.13875209159-1369.06875209159
81157.472919.52445594726-1762.05445594726
91100.13147.48479179532-2047.38479179532
101095.631950.529151414-854.899151414001
111105.632466.20765545868-1360.57765545868
121137.792629.96743673552-1492.17743673552
131124.722349.02743212337-1224.30743212337
141152.62714.39619555812-1561.79619555812
151211.852522.53697038215-1310.68697038215
161239.622024.71385559684-785.093855596843
171244.131064.87331504551179.256684954494
181198.42732.827519958343465.592480041657
191227.99999.689729112385228.300270887615
201304.921058.65805007649246.261949923514
211340.26735.727835878956604.532164121044
221307.32752.63374822103554.68625177897
231356.51968.609838488804387.900161511196
241383.292060.39188380742-677.101883807416
251437.872358.97891450684-921.108914506838
261494.561709.17830825384-214.618308253835
271521.421172.18111428462349.238885715384
281498.761017.37851075308481.381489246921
291488.751101.87893440971386.871065590285
301524.62950.675013240191573.944986759809
311439.27545.27971724508893.99028275492
321423.11770.11439557674652.99560442326
331466.85738.32740573456728.52259426544
341425.831075.0522322467350.777767753302
351363.451113.42310862792250.026891372083
361389.181391.60355235436-2.42355235436042
371395.891376.7699061680119.1200938319906
381368.431514.92375494859-146.493754948588
391349.031991.95126887062-642.921268870623
401299.882792.81981026683-1492.93981026683
411365.412842.14195001766-1476.73195001766
421451.042811.60640355737-1360.56640355737
431433.753467.25530324323-2033.50530324323
441464.652894.31510724962-1429.66510724962
451475.572291.37227056488-815.802270564885
461471.161934.44184660664-463.281846606638
471429.122016.27720671298-587.157206712984
481452.461935.28621115646-482.826211156465
491538.091284.62168977382253.468310226181
501631.59792.318429486088839.271570513912
511665.5655.0829657725931010.41703422741
521690.6791.803317086842898.796682913158
531711.7478.0740977848981633.6659022151
541734.11115.850018277361618.25998172264
551748.09-103.2981166679921851.38811666799
561703.45202.4529261516211500.99707384838
571745.74554.8956806361321190.84431936387
581751.01569.3130340602421181.69696593976
591795.65424.9398598992051370.7101401008
601852.13453.0109983480571399.11900165194
611877.1906.838735957535970.261264042465
621989.311812.47569896033176.834301039673
632097.761638.29021321033459.469786789671
642154.871780.72320620264374.146793797359
652152.181806.48703662113345.692963378865
662250.27894.0030050035491356.26699499645
672346.9647.1183073107521699.78169268925
682525.56783.3523611233781742.20763887662
692409.361330.088052023641079.27194797636
702394.361732.89412858193661.465871418067
712401.332222.36817391317178.961826086829
722354.322778.88238920994-424.562389209944
732450.412873.23909740533-422.829097405326
742504.672854.42839518726-349.758395187256
752661.392401.84379425227259.546205747731
762880.42355.60190717045524.798092829549
773064.422798.16098444154266.259015558457
783141.122995.11263002547146.007369974532
793327.73129.52280024885198.177199751146
803564.952559.297162768571005.65283723143
813403.133163.49000295925239.639997040751
823149.93739.86168939159-589.961689391591
833006.844042.31201369687-1035.47201369687
843230.663493.20773883705-262.547738837052
853361.133596.35561347933-235.22561347933
863484.743809.91562065897-325.175620658967
873411.133650.22170396155-239.091703961554
883288.183011.43348449527276.746515504731
893280.372368.98097143854911.389028561456
903173.952455.64769757763718.302302422365
913165.262135.398246269131029.86175373087
923092.711698.651701883871394.05829811613
933053.051872.395733371181180.65426662882
943181.961944.193474171931237.76652582807
952999.931859.244663993831140.68533600617
963249.571430.681684165331818.88831583467
973210.521414.872459346471795.64754065353
983030.291171.295406291471858.99459370853
992803.47785.8167896541982017.6532103458
1002767.63697.9359532262032069.6940467738
1012882.6804.0716574793142078.52834252069
1022863.362082.90459055779780.455409442209
1032897.062126.96952504344770.090474956557
1043012.612120.15391264015892.45608735985
1053142.952419.50237476368723.447625236321
1063032.932527.40367352854505.526326471462
1073045.782935.34981842561110.430181574394
1083110.523231.28907689317-120.76907689317
1093013.243388.48956001777-375.249560017766
1102987.13748.51131194742-761.411311947419
1112995.554009.6782876801-1014.1282876801
1122833.184304.06045939548-1470.88045939548
1132848.963931.9881794796-1083.0281794796
1142794.833651.92413413436-857.094134134359
1152845.264157.42867198499-1312.16867198499
1162915.034578.83223525337-1663.80223525337
1172892.634889.01230451974-1996.38230451974
1182604.425711.63432224141-3107.21432224141
1192641.655480.47253545385-2838.82253545385
1202659.815428.21225550757-2768.40225550757
1212638.535208.20796757143-2569.67796757143
1223584.175251.39881645467-1667.22881645467
1233552.115294.10887375778-1741.99887375778
12411448.798725.522955529222723.26704447078
12511384.498761.269768534042623.22023146596
12611717.478894.470868303152822.99913169685
12710965.889072.751006496991893.12899350301
12810352.279192.068769890161160.20123010984
1299751.29265.68899926644485.511000733563
1309354.019368.30712211163-14.2971221116311
1318792.59326.33033401291-533.830334012906
1328721.149206.63248782041-485.492487820415
1338526.639658.91501730559-1132.28501730559
1348474.219710.41525040275-1236.20525040275
1357916.139759.9497014011-1843.8197014011
1367977.649638.93584859988-1661.29584859988
1378334.599630.21444668296-1295.62444668296
1388623.369575.16701313751-951.807013137512
1399098.039523.67556404096-425.645564040956
1409154.349509.9680952731-355.628095273099
1419284.739541.36027217396-256.630272173961
1429492.499463.4789165080529.0110834919479
1439682.359452.30933095542230.04066904458
1449762.129403.1144138515359.005586148502
14510124.639363.22042400618761.409575993823
14610540.059333.844931069931206.20506893007
14710601.619366.117137935071235.49286206493
14810323.739331.00711885172992.72288114828
14910418.45262.3586888345156.041311166
1502454.624992.93957236781-2538.31957236781
1512448.055070.21889239228-2622.16889239228
1522497.845268.93711956477-2771.09711956477
1532645.645217.82170797171-2572.18170797171
1542756.765243.78457293939-2487.02457293939
1552849.275261.17845096256-2411.90845096256
1562921.444813.3096838318-1891.8696838318
1572819.194849.91934356816-2030.72934356816
1582892.564745.92984832974-1853.36984832974
1592866.084743.83563506332-1877.75563506332
1602817.414976.38895968858-2158.97895968858
1612934.754956.20874232536-2021.45874232536
1623036.544874.04548194448-1837.50548194448
1633139.54816.91939478952-1677.41939478952
1643114.314770.69253066448-1656.38253066448
1653261.34714.58667336124-1453.28667336124
1663201.794781.52324899657-1579.73324899657
1673264.534513.83009543502-1249.30009543502
1683349.14336.71677695825-987.616776958255
1693446.174274.02811174281-827.858111742814
1703469.484216.57316311955-747.093163119547
1713507.134120.44602410477-613.316024104773
1723536.23999.61471294776-463.414712947756
1733359.054025.36957883583-666.319578835833
1743378.854308.60052026748-929.750520267484
1753449.154273.59213440082-824.442134400817
1763522.894108.95564845028-586.065648450283
1773551.043957.78932284986-406.749322849859
1783669.153695.48038579936-26.3303857993609
17936023620.34216499113-18.3421649911283
1803697.223465.84011875518231.379881244817
1813760.93354.80566749004406.094332509964
1823665.083259.9057309703405.174269029699
1833708.83487.24616860563221.553831394369
1843858.213217.86196334749640.34803665251
1853933.162884.608259192111048.55174080789
1863946.982816.601718174761130.37828182524
1873794.292729.2840125811065.005987419
1883765.563070.2355330402695.324466959802
1893820.332930.70163562445889.628364375545
1903885.122709.669774855691175.45022514431
1913752.673170.32235533079582.347644669206
1923683.793073.81850614842609.971493851581
1933240.753656.91035039035-416.160350390354
1943188.823731.62638680565-542.806386805646
1953017.983920.40656875663-902.426568756635
1963237.23629.11703897907-391.917038979074
1973182.533502.62291632808-320.092916328077
1982906.423874.48790682697-968.067906826966
1992881.354313.85652090504-1432.50652090504
2002915.644227.80827931234-1312.16827931234
2012635.134518.40764877565-1883.27764877565
2022331.435728.82379570608-3397.39379570608
2032159.046060.32941519016-3901.28941519016
2048460.949357.40346400546-896.463464005459
2058331.499424.13289530331-1092.64289530331
2067694.789552.90654592765-1858.12654592765
2077764.589492.67946583216-1728.09946583216
2088767.969334.39565825609-566.435658256091
2099304.439311.26604986844-6.83604986844259
2109810.319271.44142488207538.868575117932
2119691.129152.74854198637538.371458013631
21210430.359018.99594903011411.3540509699
21310302.878963.088587536531339.78141246347
21410066.248966.590395276061099.64960472394
2159633.838914.18024193986719.649758060135
21610169.028880.903219713841288.11678028616
21710661.628906.039505305631755.58049469437
21810175.138854.759156877641320.37084312236
21910671.498801.835819674291869.65418032571
22011139.778875.413234135792264.35676586421
22110103.988912.761293135511191.21870686449
2229786.058942.48869313466843.561306865335
2239456.848916.72238411259540.11761588741
2249268.248868.47033145135399.769668548654
2259346.728812.06159698314534.658403016862
2269455.098781.15329870461673.936701295391
2279797.188777.690679105591019.48932089441
22810254.468744.04492468861510.4150753114
22910449.538676.068066284731773.46193371527
23010622.278677.336680844551944.93331915545
2319852.458650.227412911151202.22258708885
2329644.628628.598381413411016.02161858659
2339650.788680.64779633284970.132203667156
2349541.538763.90400766048777.625992339519
2359996.688872.628084475281124.05191552472
2369072.949014.6037283889958.33627161101
2378695.429012.68304969704-317.263049697039
2388733.569039.34813764236-305.78813764236
2398506.119008.0050239086-501.895023908602
2408505.998929.31501308828-423.32501308828
2418616.718834.733556987-218.023556987002
2429242.338783.68749771091458.642502289092
2439962.358800.936984503271161.41301549673
2449627.428862.92652363933764.493476360675
2458842.548897.45297767519-54.9129776751898
2468638.088850.40244422019-212.322444220186
2478760.688773.61734616038-12.937346160385
2488949.888708.24089212772241.639107872283
2498948.598701.94541749399246.644582506009
2508827.399375.60261983314-548.212619833142
25122241.0410226.707847173112014.3321528269


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
73.95334646861764e-067.90669293723528e-060.999996046653531
81.31837419099925e-072.6367483819985e-070.999999868162581
96.16297122615598e-091.2325942452312e-080.999999993837029
103.49717197414796e-106.99434394829592e-100.999999999650283
116.52644932529446e-121.30528986505889e-110.999999999993474
121.18301365808654e-132.36602731617308e-130.999999999999882
131.01957963798288e-142.03915927596577e-140.99999999999999
141.96600190255076e-163.93200380510153e-161
153.69798298899037e-187.39596597798074e-181
167.03766499529014e-201.40753299905803e-191
171.17163863955556e-212.34327727911111e-211
181.63156678078697e-223.26313356157394e-221
196.97368542459121e-241.39473708491824e-231
201.35600488316257e-252.71200976632513e-251
212.44671741734915e-274.8934348346983e-271
225.29074790219826e-291.05814958043965e-281
239.73187095328529e-311.94637419065706e-301
241.98811721448124e-323.97623442896248e-321
253.43989942782586e-346.87979885565173e-341
267.76336905600176e-361.55267381120035e-351
273.95662949009826e-367.91325898019653e-361
281.34953480083398e-362.69906960166797e-361
298.30955447988425e-371.66191089597685e-361
302.51218958523553e-365.02437917047105e-361
318.41319006866835e-381.68263801373367e-371
322.2253965195978e-394.4507930391956e-391
335.78988126376458e-411.15797625275292e-401
342.35188243333364e-424.70376486666728e-421
357.87169930930313e-431.57433986186063e-421
362.89732529201713e-445.79465058403426e-441
378.73504908772456e-461.74700981754491e-451
385.60212675917512e-471.12042535183502e-461
397.5042794668385e-481.5008558933677e-471
405.64524992764885e-481.12904998552977e-471
414.93449546685704e-499.86899093371408e-491
421.68521276484413e-503.37042552968825e-501
436.63101009155118e-521.32620201831024e-511
443.03794065549604e-536.07588131099209e-531
451.35673781487184e-542.71347562974369e-541
469.10225887621101e-561.8204517752422e-551
471.39130602206537e-562.78261204413074e-561
482.48069234553507e-574.96138469107014e-571
491.05050602153709e-582.10101204307417e-581
503.29158193537909e-606.58316387075818e-601
511.38903537441848e-612.77807074883695e-611
527.40441638831746e-631.48088327766349e-621
532.59375577689096e-645.18751155378192e-641
541.17838508096665e-652.3567701619333e-651
556.05204562192236e-671.21040912438447e-661
562.74913385472861e-685.49826770945722e-681
571.51975845411747e-693.03951690823494e-691
584.69184875600881e-719.38369751201762e-711
591.53990806509472e-723.07981613018944e-721
605.52727074284319e-741.10545414856864e-731
611.75819210986066e-753.51638421972131e-751
625.319632999249e-771.0639265998498e-761
632.42503972526604e-784.85007945053208e-781
641.10249787667428e-792.20499575334857e-791
653.12773987244472e-816.25547974488944e-811
669.8725117173176e-831.97450234346352e-821
675.50572332790359e-841.10114466558072e-831
683.49574844028841e-856.99149688057681e-851
691.19054980807724e-862.38109961615448e-861
709.42136521331821e-871.88427304266364e-861
714.99224473962109e-889.98448947924217e-881
721.92178332427622e-893.84356664855245e-891
736.33170618908047e-911.26634123781609e-901
745.26653269245631e-921.05330653849126e-911
754.17247013854528e-938.34494027709057e-931
761.28251325830312e-942.56502651660624e-941
773.68310260226279e-937.36620520452559e-931
782.98745637188172e-935.97491274376344e-931
792.7769798873177e-915.55395977463539e-911
807.09660564711132e-871.41932112942226e-861
816.25594372234174e-791.25118874446835e-781
821.32436541036647e-742.64873082073293e-741
832.42545276477952e-754.85090552955904e-751
842.63462034465304e-765.26924068930609e-761
853.29174974298891e-776.58349948597781e-771
863.8916860917738e-787.78337218354761e-781
872.58957834052805e-795.1791566810561e-791
885.9351280149485e-801.1870256029897e-791
893.07151423839625e-796.1430284767925e-791
903.70849574413736e-797.41699148827473e-791
913.75768683207792e-787.51537366415584e-781
926.71983722924036e-781.34396744584807e-771
935.1759529687433e-771.03519059374866e-761
941.43270676923113e-772.86541353846226e-771
957.71294780376262e-751.54258956075252e-741
965.0068327028006e-731.00136654056012e-721
971.20062949845781e-692.40125899691562e-691
981.2827395576841e-672.56547911536819e-671
991.71051766185115e-653.42103532370231e-651
1002.00561834961817e-644.01123669923633e-641
1018.33833412903876e-641.66766682580775e-631
1021.15645914062838e-632.31291828125675e-631
1039.56700919861464e-641.91340183972293e-631
1044.73808388969027e-649.47616777938054e-641
1051.94726039991429e-643.89452079982857e-641
1061.34953278839367e-642.69906557678734e-641
1073.5990317193197e-657.19806343863939e-651
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1121.94359851985524e-663.88719703971048e-661
1138.84281164242909e-671.76856232848582e-661
1141.20637010041367e-662.41274020082733e-661
1152.43497143795336e-664.86994287590672e-661
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1176.7896322514831e-671.35792645029662e-661
1183.84091395897228e-677.68182791794456e-671
1191.54203637173139e-673.08407274346277e-671
1201.14777994311854e-672.29555988623708e-671
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1222.36221815435113e-634.72443630870227e-631
1234.96833771436689e-639.93667542873377e-631
1241.65131234350417e-203.30262468700834e-201
1251.05950523604717e-132.11901047209434e-130.999999999999894
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1272.94753099219119e-095.89506198438238e-090.999999997052469
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1309.08612785358805e-091.81722557071761e-080.999999990913872
1316.15810391339257e-091.23162078267851e-080.999999993841896
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1332.03589203688694e-084.07178407377387e-080.99999997964108
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1396.84449489577634e-081.36889897915527e-070.999999931555051
1407.61860363863936e-081.52372072772787e-070.999999923813964
1418.16135311630135e-081.63227062326027e-070.999999918386469
1429.02514461605229e-081.80502892321046e-070.999999909748554
1431.01125560725143e-072.02251121450286e-070.999999898874439
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1462.13106947223599e-074.26213894447198e-070.999999786893053
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1483.01231368826574e-076.02462737653147e-070.999999698768631
1490.0004568825010402660.0009137650020805330.99954311749896
1500.0006230035209214850.001246007041842970.999376996479079
1510.0008356643561767150.001671328712353430.999164335643823
1520.001155276692043350.002310553384086690.998844723307957
1530.001434128052763730.002868256105527460.998565871947236
1540.001756340518284560.003512681036569110.998243659481715
1550.008694355558171270.01738871111634250.991305644441829
1560.01152788982942760.02305577965885520.988472110170572
1570.01514074191540710.03028148383081430.984859258084593
1580.01717279255693630.03434558511387270.982827207443064
1590.01879858517009710.03759717034019430.981201414829903
1600.02212983243023840.04425966486047680.977870167569762
1610.0245816350941080.0491632701882160.975418364905892
1620.02561490640156950.0512298128031390.974385093598431
1630.02575308177858550.05150616355717090.974246918221415
1640.0254295159458210.05085903189164210.974570484054179
1650.02322123127667740.04644246255335470.976778768723323
1660.02203283989864140.04406567979728280.977967160101359
1670.01904100277758060.03808200555516120.980958997222419
1680.01560197007319090.03120394014638180.984398029926809
1690.01258861795800550.0251772359160110.987411382041995
1700.01012128141234870.02024256282469740.989878718587651
1710.007929031784791040.01585806356958210.992070968215209
1720.006076283200728010.0121525664014560.993923716799272
1730.004612116775394810.009224233550789610.995387883224605
1740.003682622663598820.007365245327197650.996317377336401
1750.002964986698352780.005929973396705550.997035013301647
1760.002289279758536440.004578559517072890.997710720241464
1770.001760282098867130.003520564197734260.998239717901133
1780.001306614476454480.002613228952908950.998693385523545
1790.0009706959612045230.001941391922409050.999029304038796
1800.0007164302873605440.001432860574721090.999283569712639
1810.0005273124878851040.001054624975770210.999472687512115
1820.0003883724402109070.0007767448804218130.999611627559789
1830.0002801231110684660.0005602462221369320.999719876888931
1840.0002031296948665680.0004062593897331370.999796870305133
1850.0001617074727176890.0003234149454353780.999838292527282
1860.0001390480758665070.0002780961517330150.999860951924133
1870.0001466791462737520.0002933582925475030.999853320853726
1880.0001151075604822940.0002302151209645880.999884892439518
1899.48091194143736e-050.0001896182388287470.999905190880586
1900.0001327485716070040.0002654971432140070.999867251428393
1910.000120391697169430.0002407833943388610.999879608302831
1920.0001466660479845710.0002933320959691420.999853333952015
1930.000106501237921550.0002130024758430990.999893498762078
1947.64076878525716e-050.0001528153757051430.999923592312147
1955.18331580603404e-050.0001036663161206810.99994816684194
1963.80126719176895e-057.6025343835379e-050.999961987328082
1973.95073891102429e-057.90147782204858e-050.99996049261089
1984.27720492291307e-058.55440984582614e-050.999957227950771
1993.90039825714368e-057.80079651428737e-050.999960996017429
2005.46834864263653e-050.0001093669728527310.999945316513574
2010.0001206534794529660.0002413069589059320.999879346520547
2020.0001206445289637090.0002412890579274180.999879355471036
2030.003612421381573610.007224842763147210.996387578618426
2040.004846638561081950.009693277122163910.995153361438918
2050.01476837293980550.0295367458796110.985231627060195
2060.05304948177682610.1060989635536520.946950518223174
2070.2028629036738170.4057258073476350.797137096326183
2080.3996470974964070.7992941949928150.600352902503593
2090.5934733151848170.8130533696303660.406526684815183
2100.6628634545008550.6742730909982910.337136545499145
2110.7661352076181770.4677295847636470.233864792381823
2120.7797209667474280.4405580665051430.220279033252572
2130.796983074404880.406033851190240.20301692559512
2140.8102823463209770.3794353073580460.189717653679023
2150.8086260449469150.3827479101061710.191373955053085
2160.7951509447060930.4096981105878130.204849055293907
2170.7741796181381270.4516407637237470.225820381861873
2180.7557294182708690.4885411634582630.244270581729131
2190.7292270095758650.541545980848270.270772990424135
2200.7207170732067390.5585658535865220.279282926793261
2210.7063314628613020.5873370742773960.293668537138698
2220.7210567729824740.5578864540350520.278943227017526
2230.7838755202961880.4322489594076240.216124479703812
2240.8721729845323090.2556540309353830.127827015467692
2250.9341371940446760.1317256119106480.0658628059553238
2260.9735573202140380.05288535957192310.0264426797859616
2270.9787344019351820.0425311961296360.021265598064818
2280.970845142870720.05830971425856080.0291548571292804
2290.9581901461219030.0836197077561950.0418098538780975
2300.9433593464702630.1132813070594750.0566406535297375
2310.9245325880217650.1509348239564710.0754674119782353
2320.9016926060111130.1966147879777730.0983073939888866
2330.8640843432670210.2718313134659590.135915656732979
2340.8447953225290960.3104093549418090.155204677470904
2350.7881497476386030.4237005047227950.211850252361397
2360.9462587080880710.1074825838238570.0537412919119286
2370.9946874217226280.0106251565547430.00531257827737148
2380.9933523069657970.01329538606840690.00664769303420343
2390.9857583912886580.02848321742268360.0142416087113418
2400.9821516894849270.0356966210301460.017848310515073
2410.9754531145870470.04909377082590670.0245468854129534
2420.9424701947142040.1150596105715930.0575298052857965
2430.9650834206512070.06983315869758550.0349165793487927
2440.9565007837362210.08699843252755810.043499216263779


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1800.756302521008403NOK
5% type I error level2020.848739495798319NOK
10% type I error level2100.882352941176471NOK