Multiple Linear Regression - Estimated Regression Equation
BEL_20[t] = -546.230265905034 + 0.00497848663458504Nikkei[t] + 0.064130924727598DJ_Indust[t] -2.4442084265653Conjunct_Seizoenzuiver[t] -0.956816977273839Cons_vertrouw[t] + 37.9019963078767Rend_oblig_EUR[t] + 11.9162996323731Alg_consumptie_index_BE[t] + 1.0619313863985Y1[t] -0.292689132011974Y2[t] + 0.13605984089728Y3[t] -0.0183487610508147Y4[t] -51.4908803453574M1[t] -56.7853158988978M2[t] -58.0309927479335M3[t] -37.7722465200661M4[t] -68.7764884632851M5[t] -120.354286713861M6[t] -2.68155983648654M7[t] -59.9732492342926M8[t] -85.7452911011672M9[t] -67.6665101098873M10[t] -76.3701833397756M11[t] + 0.22183130685296t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-546.230265905034194.981219-2.80150.0057450.002872
Nikkei0.004978486634585040.004721.05490.2931510.146575
DJ_Indust0.0641309247275980.0142334.50561.3e-057e-06
Conjunct_Seizoenzuiver-2.44420842656532.172125-1.12530.262240.13112
Cons_vertrouw-0.9568169772738392.022311-0.47310.6367940.318397
Rend_oblig_EUR37.901996307876715.5057852.44440.0156460.007823
Alg_consumptie_index_BE11.916299632373110.6227031.12180.2637150.131857
Y11.06193138639850.08111513.091600
Y2-0.2926891320119740.117551-2.48990.0138480.006924
Y30.136059840897280.1170081.16280.246710.123355
Y4-0.01834876105081470.077425-0.2370.8129840.406492
M1-51.490880345357444.407475-1.15950.2480550.124027
M2-56.785315898897844.374047-1.27970.2025890.101294
M3-58.030992747933544.473916-1.30480.1939090.096955
M4-37.772246520066144.263057-0.85340.3947950.197397
M5-68.776488463285144.332146-1.55140.1228740.061437
M6-120.35428671386144.281582-2.71790.0073270.003664
M7-2.6815598364865444.350327-0.06050.9518660.475933
M8-59.973249234292644.730392-1.34080.1819820.090991
M9-85.745291101167245.283421-1.89350.0601760.030088
M10-67.666510109887345.069847-1.50140.1353210.06766
M11-76.370183339775644.836184-1.70330.0905390.04527
t0.221831306852960.4605990.48160.6307680.315384


Multiple Linear Regression - Regression Statistics
Multiple R0.991017486025751
R-squared0.9821156576088
Adjusted R-squared0.979544052820524
F-TEST (value)381.907695181581
F-TEST (DF numerator)22
F-TEST (DF denominator)153
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation118.049470789014
Sum Squared Residuals2132158.66569565


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12293.412374.9204471504-81.5104471504024
22070.832202.57371470657-131.743714706575
32029.62013.2558521025916.3441478974135
42052.022038.1720381322713.8479618677283
51864.442011.87887631872-147.438876318724
61670.071708.63486552215-38.5648655221507
71810.991724.0740308445186.9159691554925
81905.411891.0975315317214.3124684682847
91862.831939.93138912236-77.1013891223556
102014.451919.7890543759794.6609456240305
112197.822147.2513807011550.5686192988492
122962.342482.78165706429479.558342935708
133047.033224.10037520864-177.070375208638
143032.63117.25386171145-84.6538617114457
153504.373220.051107333284.318892667005
163801.063758.8498499916642.2101500083401
173857.623873.95620071193-16.3362007119252
183674.43804.49764065487-130.097640654871
193720.983752.22292525193-31.2429252519323
203844.493816.6454273165527.8445726834464
214116.683954.91391412283161.766085877175
224105.184209.35864198702-104.178641987023
234435.234163.75328139702271.476718602975
244296.494589.22157073622-292.73157073622
254202.524263.82694919623-61.3069491962283
264562.844283.33681543981279.503184560186
274621.44648.60804914092-27.2080491409183
284696.964602.3278811383294.6321188616842
294591.274646.24544698546-54.9754469854603
304356.984428.72085025161-71.7408502516143
314502.644363.09234730264139.547652697363
324443.914500.42739811638-56.517398116376
334290.894324.30978991275-33.4197899127477
344199.754195.819780628593.93021937141131
354138.524106.572511248631.9474887513999
363970.14099.96964712113-129.869647121127
373862.273864.70524671014-2.43524671013965
383701.613771.67611451071-70.0661145107054
393570.123611.25520684942-41.135206849423
403801.063562.79875125954238.261248740461
413895.513787.19839548962108.311604510381
423917.963736.48258497383181.477415026173
433813.063872.42338578189-59.3633857818872
443667.033698.1397454553-31.1097454553004
453494.173551.6690102607-57.4990102607003
463363.993403.16267708351-39.1726770835065
473295.323250.1279755328545.1920244671476
483277.013293.02375837092-16.0137583709221
493257.163234.8121603025322.347839697471
503161.693205.35087759409-43.66087759409
513097.313096.960917142950.349082857051021
523061.263069.31577633949-8.05577633949236
533119.313003.58924867598115.720751324023
543106.223046.747242056359.4727579436985
553080.583120.75263737136-40.1726373713582
562981.853031.17338196733-49.3233819673311
572921.442917.712344935183.72765506482012
582849.272886.9687823469-37.6987823469014
592756.762783.8214812394-27.0614812393987
602645.642778.30985333788-132.66985333788
612497.842616.86660354774-119.026603547745
622448.052491.23828209012-43.1882820901185
632454.622489.38285036294-34.7628503629438
642407.62498.38874798934-90.7887479893355
652472.812423.9651588405448.8448411594604
662408.642435.52616212029-26.8861621202918
672440.252480.68220209258-40.4322020925778
682350.442488.08293811056-137.642938110562
692196.722330.03621112739-133.316211127386
702174.562200.91163908127-26.3516390812745
712120.882205.61008319479-84.7300831947874
722093.482193.56220403328-100.08220403328
732061.412126.71982718502-65.3098271850213
741969.62073.85992270252-104.259922702524
751959.671965.72653343761-6.05653343760915
761910.431959.15861293408-48.7286129340816
771833.421873.67116790276-40.2511679027626
781635.251732.83946066238-97.589460662383
791765.91631.87417005499134.025829945005
801946.811801.11047532871145.699524671287
811995.371916.3867259225978.983274077409
8220421959.6700771363682.32992286364
831940.491977.68739397482-37.1973939748218
842065.811942.20142822077123.608571779232
852214.952105.41933306558109.530666934419
862304.982208.8425852375796.1374147624267
872555.282333.83332997212221.446670027884
882799.432663.73254935437135.697450645627
892811.72843.8723466043-32.1723466042971
902735.72798.96105380288-63.2610538028835
912745.882814.46362948746-68.5836294874634
922720.252792.0368219694-71.7868219694018
932638.532730.50374825098-91.9737482509784
942659.812659.572413392450.237586607545997
952641.652663.91840467373-22.2684046737264
962604.422679.41992016769-74.9999201676892
972892.632683.72544724087208.90455275913
982915.023006.14246334576-91.1224633457558
992845.262965.75871842271-120.49871842271
1002794.832940.76805300687-145.938053006872
1012848.962844.093490070774.86650992922868
1022833.182814.613008505118.5669914948993
1032995.552945.7964145537449.7535854462584
1042987.13061.27195663224-74.1719566322435
1053013.242983.7621061641229.4778938358788
1063110.523076.3602994753734.159700524627
1073045.783141.6725783741-95.8925783741013
1083032.933170.03247039503-137.102470395026
1093142.953130.0810337140412.868966285963
1103012.613215.55169409775-202.941694097748
1112897.063024.84982791778-127.789827917784
1122863.362979.2181566094-115.858156609396
1132882.62948.08469363016-65.4846936301613
1142767.632886.90873411199-119.278734111993
1152803.472884.03721998166-80.567219981657
1163030.292943.9823379700186.3076620299932
1173210.523111.3655274105299.1544725894839
1183249.573232.5086530041917.0613469958054
1192999.933222.0270719571-222.097071957098
1203181.963060.31747045725121.642529542751
1213053.053294.27060727036-241.220607270362
1223092.713057.0749792368835.6350207631186
1233165.263132.7617753783132.49822462169
1243173.953181.80721821289-7.85721821289137
1253280.373128.45373017278151.916269827222
1263288.183163.97081792921124.209182070795
1273411.133216.68322204783194.446777952173
1283484.743298.03463367133186.70536632867
1293361.133306.2326247869954.8973752130068
1303230.663194.3333365935536.3266634064473
1313006.843040.56073411741-33.720734117409
1323149.92874.44644042819275.453559571811
1333403.133067.21656677318335.913433226817
1343564.953315.31490667249.635093330002
1353327.73423.80820567826-96.1082056782637
1363141.123198.17848633517-57.0584863351692
1373064.423050.4529185986113.9670814013898
1382880.42913.52888842161-33.1288884216134
1392661.392813.08074213255-151.690742132549
1402504.672532.58673780743-27.9167378074278
1412450.412412.2058394569238.2041605430753
1422354.322384.26533795801-29.945337958006
1432401.332285.24628083222116.083719167783
1442394.362450.68101267712-56.3210126771239
1452409.362383.139382545526.2206174545002
1462525.562412.53394000328113.026059996723
1472346.92514.33703692578-167.437036925776
1482250.272292.69287878474-42.4228787847382
1492152.182185.0165022864-32.8365022864033
1502154.872038.94769763982115.922302360184
1512097.762171.73630691704-73.9763069170388
1521989.312033.50591120422-44.1959112042209
1531877.11907.52772959679-30.4277295967861
1541852.131834.377512098917.752487901105
1551795.651805.45132722119-9.80132722119151
1561751.011812.21086532155-61.2008653215477
1571745.741731.4050717547514.3349282452514
1581703.451729.40753203478-25.9575320347792
1591748.091699.6664509763448.4235490236638
1601734.11778.90514115895-44.8051411589505
1611711.741725.4022030362-13.6622030361979
1621690.61661.4477781064529.1522218935463
1631665.51756.2660243397-90.7660243396975
1641631.591641.95805136251-10.3680513625139
1651538.091580.56303892989-42.4730389298938
1661452.461501.5717948379-49.111794837901
1671429.121411.6194955356217.500504464379
1681471.161470.431701668690.728298331314978
1691475.571457.8109483350217.7590516649845
1701464.651440.9923106187123.6576893812863
1711433.751416.1341383592817.6158616407206
1721451.041414.1758587529136.8641412470865
1731365.411405.87962067577-40.469620675774
1741299.881248.1332152414951.7467847585055
1751349.031316.9247418401332.105258159869
1761368.431326.266651556342.1633484436966


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
260.2333656745542590.4667313491085180.766634325445741
270.3696428602917970.7392857205835950.630357139708203
280.5317505549841650.936498890031670.468249445015835
290.4065651092164890.8131302184329770.593434890783511
300.299606489852270.5992129797045390.70039351014773
310.221994876168250.4439897523365010.77800512383175
320.1696274562833520.3392549125667040.830372543716648
330.134928940759120.269857881518240.86507105924088
340.1138373366974720.2276746733949440.886162663302528
350.085756338294770.171512676589540.91424366170523
360.05950296489856130.1190059297971230.940497035101439
370.03774675162472980.07549350324945960.96225324837527
380.03417163559428760.06834327118857530.965828364405712
390.0795977360774480.1591954721548960.920402263922552
400.1455358276923970.2910716553847940.854464172307603
410.115682353508440.231364707016880.88431764649156
420.1477996485846670.2955992971693330.852200351415333
430.1115116863328340.2230233726656680.888488313667166
440.1126823414152420.2253646828304830.887317658584758
450.1053035865567760.2106071731135520.894696413443224
460.07944123620579520.158882472411590.920558763794205
470.1034984268532540.2069968537065080.896501573146746
480.1096598593413160.2193197186826320.890340140658684
490.125159426558060.2503188531161190.87484057344194
500.09705589110952360.1941117822190470.902944108890476
510.07581583306622610.1516316661324520.924184166933774
520.06990344241630610.1398068848326120.930096557583694
530.06469816121147310.1293963224229460.935301838788527
540.09823993197562590.1964798639512520.901760068024374
550.0850143123281480.1700286246562960.914985687671852
560.06554700014056590.1310940002811320.934452999859434
570.05434109222524390.1086821844504880.945658907774756
580.04615368438940020.09230736877880040.9538463156106
590.04794145933533570.09588291867067130.952058540664664
600.06498581483378620.1299716296675720.935014185166214
610.0895555765045750.179111153009150.910444423495425
620.12394129476290.2478825895257990.8760587052371
630.19848402131720.3969680426344010.8015159786828
640.240696363206110.481392726412220.75930363679389
650.2723491107690390.5446982215380770.727650889230961
660.2480948040531260.4961896081062530.751905195946874
670.2097793548704070.4195587097408140.790220645129593
680.2179656699547080.4359313399094150.782034330045292
690.1957073422561940.3914146845123880.804292657743806
700.1620331923954410.3240663847908810.83796680760456
710.1556581676303510.3113163352607020.84434183236965
720.1536456077326680.3072912154653360.846354392267332
730.1425359683304490.2850719366608980.857464031669551
740.1352408273428090.2704816546856170.864759172657191
750.1148981209005970.2297962418011940.885101879099403
760.1404774562123420.2809549124246840.859522543787658
770.1542389744439090.3084779488878190.84576102555609
780.1688473817889030.3376947635778070.831152618211097
790.265767405346090.5315348106921810.73423259465391
800.5183857908987490.9632284182025020.481614209101251
810.6976149119825350.604770176034930.302385088017465
820.7628293026615340.4743413946769320.237170697338466
830.773424121718920.4531517565621610.22657587828108
840.7877804359720330.4244391280559350.212219564027967
850.8057810608255890.3884378783488220.194218939174411
860.8010532540114530.3978934919770940.198946745988547
870.8046014442278760.3907971115442490.195398555772124
880.7942319897448880.4115360205102240.205768010255112
890.7781536054012460.4436927891975080.221846394598754
900.8157760681657520.3684478636684960.184223931834248
910.8005974568751470.3988050862497050.199402543124853
920.780059360587980.4398812788240390.219940639412019
930.7602645350734680.4794709298530630.239735464926532
940.7241062366732450.5517875266535090.275893763326755
950.6919673856703440.6160652286593120.308032614329656
960.6802216320987980.6395567358024040.319778367901202
970.7207927245516020.5584145508967970.279207275448398
980.7278280952057060.5443438095885880.272171904794294
990.7896860401767880.4206279196464230.210313959823212
1000.8769809814994090.2460380370011830.123019018500591
1010.8615579112528370.2768841774943270.138442088747163
1020.8370496665252850.3259006669494290.162950333474715
1030.8148114658097750.3703770683804490.185188534190225
1040.8233049215691250.3533901568617490.176695078430875
1050.7897676880712990.4204646238574020.210232311928701
1060.7873966619145960.4252066761708070.212603338085404
1070.7884084115722240.4231831768555520.211591588427776
1080.8020634007296950.3958731985406090.197936599270305
1090.7977798412924040.4044403174151910.202220158707596
1100.838014774170130.3239704516597410.161985225829871
1110.8364074041699140.3271851916601730.163592595830086
1120.8316078134980420.3367843730039150.168392186501958
1130.815311133734910.3693777325301810.184688866265091
1140.8552077000700540.2895845998598920.144792299929946
1150.8460417175137040.3079165649725920.153958282486296
1160.8279275421266580.3441449157466840.172072457873342
1170.8303351415150730.3393297169698550.169664858484927
1180.8004780298812520.3990439402374950.199521970118748
1190.8783948006874030.2432103986251950.121605199312597
1200.8993841971430040.2012316057139920.100615802856996
1210.9674698040705560.06506039185888870.0325301959294444
1220.9592420521449340.08151589571013140.0407579478550657
1230.9449078446403330.1101843107193330.0550921553596666
1240.9421404505321750.115719098935650.0578595494678251
1250.9364278662206960.1271442675586080.0635721337793038
1260.9376817683362650.124636463327470.0623182316637352
1270.9450339368159950.1099321263680090.0549660631840046
1280.9445252179021050.1109495641957910.0554747820978953
1290.9249374384393580.1501251231212840.0750625615606418
1300.9024222772777970.1951554454444060.097577722722203
1310.930693808304920.1386123833901590.0693061916950793
1320.9744303881096050.05113922378079080.0255696118903954
1330.996928429398620.006143141202760620.00307157060138031
1340.999975462565034.90748699407833e-052.45374349703917e-05
1350.9999998396190393.2076192275549e-071.60380961377745e-07
1360.9999999972984295.40314262823092e-092.70157131411546e-09
1370.9999999925440351.4911930388853e-087.45596519442648e-09
1380.99999997600584.7988400345572e-082.3994200172786e-08
1390.9999999415406361.16918728134318e-075.84593640671591e-08
1400.9999999056956351.8860873044122e-079.43043652206102e-08
1410.999999732291815.3541638007725e-072.67708190038625e-07
1420.9999987777462462.44450750808191e-061.22225375404095e-06
1430.9999973873393855.22532123064641e-062.61266061532321e-06
1440.9999910351668931.79296662132601e-058.96483310663005e-06
1450.9999780759555444.38480889128657e-052.19240444564329e-05
1460.9999812990218323.74019563356824e-051.87009781678412e-05
1470.999917527581970.0001649448360609238.24724180304616e-05
1480.9998865955311480.0002268089377036590.00011340446885183
1490.9999390922147050.0001218155705890536.09077852945267e-05
1500.9992732813515170.001453437296966590.000726718648483293


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level180.144NOK
5% type I error level180.144NOK
10% type I error level250.2NOK