Multiple Linear Regression - Estimated Regression Equation
PS[t] = + 3.02312027804749 + 0.289809759090523CM[t] -0.293633940943942CM_G[t] -0.199249052781833D[t] + 0.153536202361446D_G[t] + 0.255960697716122PE[t] -0.283226764542751PE_G[t] + 0.0132743157206869PC[t] -0.0117482321641987PC_G[t] + 0.978572091873339PS_G[t] + 0.415924298586412O[t] -0.444540756555795O_G[t] + 0.178141200721764H[t] -0.247978402414856H_G[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3.023120278047492.6122321.15730.2491230.124561
CM0.2898097590905230.0634614.56671.1e-055e-06
CM_G-0.2936339409439420.106148-2.76630.0064360.003218
D-0.1992490527818330.130029-1.53230.1276940.063847
D_G0.1535362023614460.1887460.81350.4173380.208669
PE0.2559606977161220.1112222.30130.0228490.011424
PE_G-0.2832267645427510.180928-1.56540.1197440.059872
PC0.01327431572068690.1310640.10130.9194720.459736
PC_G-0.01174823216419870.229855-0.05110.9593090.479655
PS_G0.9785720918733390.1137938.599600
O0.4159242985864120.0721565.764200
O_G-0.4445407565557950.139406-3.18880.0017630.000881
H0.1781412007217640.1258451.41560.1591240.079562
H_G-0.2479784024148560.172404-1.43840.1525640.076282


Multiple Linear Regression - Regression Statistics
Multiple R0.776966426907153
R-squared0.603676828540868
Adjusted R-squared0.566875391191092
F-TEST (value)16.4036209456513
F-TEST (DF numerator)13
F-TEST (DF denominator)140
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.80575699262366
Sum Squared Residuals1102.11812223192


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12424.0530765560902-0.0530765560901563
22522.03477976208092.96522023791906
33024.81656733048715.18343266951292
41919.0324119867282-0.0324119867281819
52220.94580401963551.05419598036454
62222.8533923452611-0.85339234526115
72523.121997746731.87800225327001
82320.54901507472882.45098492527124
91718.6134826537593-1.61348265375926
102121.7143577556621-0.714357755662085
111918.97567623937690.0243237606230659
121923.7132941234279-4.71329412342788
131522.6873745259648-7.68737452596483
141617.2473501001225-1.24735010012250
152322.93539893965180.0646010603481655
162726.89428245629940.105717543700623
172220.19517924523271.80482075476734
181414.8309020505191-0.830902050519145
192222.0620006943968-0.0620006943968054
202324.8838305882861-1.88383058828613
212321.13196557493821.86803442506183
221921.7658630945607-2.76586309456067
231818.1222114349989-0.122211434998897
242020.1618731972673-0.161873197267308
252322.50112328464780.498876715352215
262524.13385512395300.866144876046962
271919.3285382243087-0.328538224308664
282423.95488115423220.0451188457678439
292222.1584389519411-0.158438951941049
302624.01993859595751.98006140404252
312923.02071275595475.97928724404534
323224.73090469045927.26909530954084
332522.03397369135122.96602630864875
342928.79945629041000.200543709589977
352827.88074129389040.119258706109636
361716.95088058590680.0491194140932041
372825.78251605994112.21748394005887
382928.94481702035720.0551829796428413
392625.19385895194120.80614104805876
402523.54698899082831.45301100917168
411414.6853688520440-0.68536885204396
422522.73490552864702.26509447135304
432626.1058683703617-0.105868370361661
442019.93795764139640.0620423586036247
451821.6877580201582-3.68775802015815
463231.94984420264930.0501557973507456
472525.029353741249-0.0293537412489835
482522.39375594910032.60624405089968
492323.253888249809-0.253888249809004
502121.1133833318065-0.113383331806463
512024.5006874023663-4.50068740236634
521515.9313015487408-0.931301548740772
533029.73358922318850.266410776811461
542425.5232994949851-1.52329949498510
552624.30810022051741.69189977948256
562423.95861085148660.0413891485133683
572222.1522491819777-0.152249181977660
581417.0304526985932-3.03045269859321
592423.95599621317390.0440037868260885
602424.0314331791993-0.0314331791993214
612423.42032061381490.579679386185118
622423.83716415322180.162835846778242
631918.98291242151400.0170875784859807
643130.95048255807800.0495174419220362
652221.90570837175310.0942916282469003
662727.2490866133539-0.249086613353868
671919.0306688916299-0.0306688916299072
682522.61956355538742.38043644461262
692024.708843473415-4.70884347341502
702121.3712075935348-0.371207593534769
712727.5473418577496-0.547341857749624
722325.4305544100768-2.43055441007685
732525.5760731741955-0.576073174195533
742022.6367877902548-2.63678779025478
752222.5409327698134-0.540932769813419
762322.98068902963110.0193109703689074
772523.10679429201261.89320570798738
782523.72714069619461.2728593038054
791723.8083960011454-6.80839600114543
801919.2471065054298-0.247106505429782
812524.28587973589020.714120264109787
821919.2763766378851-0.276376637885127
832019.8514854409760.148514559024005
842623.00915752295482.99084247704521
852322.58264011456520.417359885434837
862724.31604546030992.68395453969006
871717.1640440206979-0.164044020697871
881716.60605631695820.393943683041799
891717.2909912366521-0.290991236652071
902222.3161047928413-0.316104792841313
912120.91435360659830.085646393401681
923229.39163089823892.60836910176113
932120.59221930501010.407780694989933
942124.6541958327448-3.65419583274485
951818.3978405680709-0.397840568070873
961820.702242927377-2.70224292737698
972323.074936113401-0.0749361134009955
981919.2720973995629-0.272097399562895
992021.3489771868437-1.34897718684369
1002122.9747333242637-1.97473332426375
1012019.63468761927060.365312380729391
1021718.7373756573030-1.73737565730303
1031820.0886322714171-2.08863227141706
1041920.5565277383226-1.55652773832264
1052222.8708337361754-0.870833736175399
1061515.03017071542-0.0301707154199975
1071419.2920653920197-5.29206539201971
1081826.452765239334-8.45276523933401
1092424.3540193970066-0.354019397006586
1103523.547903205172711.4520967948273
1112918.511711324698110.4882886753019
1122121.7579634256110-0.757963425611031
1132020.1992008424665-0.199200842466506
1142221.82618698337360.173813016626372
1151313.4637990996297-0.463799099629735
1162622.72499723697393.27500276302615
1171717.3800726955620-0.38007269556197
1182520.20103036112784.79896963887217
1192020.4619097982583-0.461909798258281
1201918.72849533736280.271504662637237
1212120.90659539109510.0934046089049144
1222221.39956206053850.600437939461491
1232423.03548785397380.964512146026208
1242123.2581325967219-2.25813259672187
1252625.78934326521870.210656734781317
1262420.48317492461433.51682507538568
1271620.4510861279594-4.45108612795943
1282322.90013219423880.099867805761226
1291820.1267808197177-2.12678081971768
1301616.1919539344285-0.191953934428511
1312625.77462988648910.225370113510852
1321919.6130953042636-0.613095304263595
1332117.19665791181873.80334208818127
1342122.2011921513117-1.20119215131171
1352218.60749185701673.39250814298333
1362319.84609962378503.15390037621497
1372925.29917182077923.70082817922083
1382119.53826580995681.46173419004319
1392121.3784089773461-0.378408977346122
1402322.83868944661380.161310553386206
1412723.61099199254343.38900800745662
1422524.90317932000220.0968206799977803
1432120.92516585229830.0748341477016993
1441016.7806836535453-6.78068365354529
1452022.3335982628498-2.33359826284984
1462622.89462598936323.10537401063678
1472425.1619579556401-1.16195795564013
1482932.2243102755247-3.22431027552474
1491919.1101399599375-0.110139959937496
1502422.73181871978211.26818128021791
1511920.4358843511594-1.43588435115941
1522423.87939680531010.120603194689921
1532222.4251622938296-0.425162293829623
1541724.8854842560364-7.88548425603638


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.97814391909940.04371216180119820.0218560809005991
180.9526787145867640.09464257082647290.0473212854132364
190.9119939102866920.1760121794266170.0880060897133083
200.871454328988610.2570913420227810.128545671011391
210.918065024488380.1638699510232390.0819349755116194
220.880029171315130.2399416573697420.119970828684871
230.8248027166817440.3503945666365120.175197283318256
240.7588941995853430.4822116008293150.241105800414657
250.6871601898757730.6256796202484530.312839810124227
260.6115838706465970.7768322587068060.388416129353403
270.527742113507320.944515772985360.47225788649268
280.4445735304413260.8891470608826530.555426469558673
290.3927320380351190.7854640760702390.60726796196488
300.3768796070862520.7537592141725040.623120392913748
310.6751201189488920.6497597621022160.324879881051108
320.8752953918868690.2494092162262620.124704608113131
330.8647529729946470.2704940540107060.135247027005353
340.8243113487986710.3513773024026570.175688651201329
350.7775675785933830.4448648428132340.222432421406617
360.7250672002716020.5498655994567950.274932799728398
370.6917246329481610.6165507341036780.308275367051839
380.6327187702757430.7345624594485150.367281229724257
390.5745085803699530.8509828392600940.425491419630047
400.5176399348283530.9647201303432940.482360065171647
410.4577608455189810.9155216910379610.54223915448102
420.4236864226639470.8473728453278940.576313577336053
430.3646930670322390.7293861340644780.635306932967761
440.3091777136923080.6183554273846160.690822286307692
450.3468634088571980.6937268177143960.653136591142802
460.2939793464205600.5879586928411210.70602065357944
470.2578106098764250.5156212197528490.742189390123575
480.2375128435659040.4750256871318080.762487156434096
490.1951017201891840.3902034403783680.804898279810816
500.1578544722549500.3157089445098990.84214552774505
510.2568004782017240.5136009564034490.743199521798276
520.2168650903595440.4337301807190880.783134909640456
530.1780679070909090.3561358141818180.821932092909091
540.1573029098945460.3146058197890920.842697090105454
550.1346164366370330.2692328732740670.865383563362967
560.1070485735297980.2140971470595950.892951426470202
570.0838675235030240.1677350470060480.916132476496976
580.0773203593541390.1546407187082780.922679640645861
590.05947941191569250.1189588238313850.940520588084307
600.04509179309995880.09018358619991760.954908206900041
610.03404078650653120.06808157301306230.965959213493469
620.02510086522251830.05020173044503670.974899134777482
630.01821985088846280.03643970177692550.981780149111537
640.01308015825911900.02616031651823790.986919841740881
650.009251983403881860.01850396680776370.990748016596118
660.006428340764439570.01285668152887910.99357165923556
670.004404637264533050.00880927452906610.995595362735467
680.004159152904835580.008318305809671150.995840847095164
690.01316626427076380.02633252854152750.986833735729236
700.009422168178135160.01884433635627030.990577831821865
710.007197111307724870.01439422261544970.992802888692275
720.006804865712228280.01360973142445660.993195134287772
730.005471681497889010.01094336299577800.994528318502111
740.005128019345472780.01025603869094560.994871980654527
750.003563131232721690.007126262465443380.996436868767278
760.002405888689149020.004811777378298050.99759411131085
770.001881718997614540.003763437995229080.998118281002385
780.001421057691262240.002842115382524490.998578942308738
790.00968888579001150.0193777715800230.990311114209989
800.006862045260393760.01372409052078750.993137954739606
810.004899102031772530.009798204063545060.995100897968227
820.003368559389938680.006737118779877350.996631440610061
830.002280207080477450.004560414160954900.997719792919523
840.002386758311048240.004773516622096480.997613241688952
850.001606193233351090.003212386466702190.998393806766649
860.001711732459866870.003423464919733740.998288267540133
870.001129383820095610.002258767640191220.998870616179904
880.000736806123527290.001473612247054580.999263193876473
890.0004725280541330250.000945056108266050.999527471945867
900.0003302821077954870.0006605642155909740.999669717892204
910.0002053046031263070.0004106092062526130.999794695396874
920.0002014601863685840.0004029203727371680.999798539813631
930.0001249634007849650.0002499268015699300.999875036599215
940.0001731659786256560.0003463319572513110.999826834021374
950.0001066372254812050.0002132744509624090.999893362774519
960.0001014901984237010.0002029803968474020.999898509801576
976.04314352437458e-050.0001208628704874920.999939568564756
983.5639879179104e-057.1279758358208e-050.99996436012082
992.31470773180972e-054.62941546361943e-050.999976852922682
1001.53749740572701e-053.07499481145403e-050.999984625025943
1018.75228222649496e-061.75045644529899e-050.999991247717773
1025.90585401899174e-061.18117080379835e-050.999994094145981
1034.49052739001114e-068.98105478002227e-060.99999550947261
1043.28687920748496e-066.57375841496991e-060.999996713120793
1051.79588682881190e-063.59177365762379e-060.999998204113171
1069.39938048657008e-071.87987609731402e-060.99999906006195
1073.37899972234571e-066.75799944469141e-060.999996621000278
1080.0003600745400678420.0007201490801356830.999639925459932
1090.0002191389562841620.0004382779125683240.999780861043716
1100.06324852197144830.1264970439428970.936751478028552
1110.4649229554633940.9298459109267880.535077044536606
1120.4159091872186320.8318183744372630.584090812781368
1130.3615880905031730.7231761810063450.638411909496827
1140.3058754629800070.6117509259600130.694124537019994
1150.2540774376294120.5081548752588240.745922562370588
1160.2394512868506210.4789025737012420.76054871314938
1170.1937323053904240.3874646107808480.806267694609576
1180.260795003191180.521590006382360.73920499680882
1190.2119475166926570.4238950333853150.788052483307343
1200.1666869833001230.3333739666002460.833313016699877
1210.1276526543622950.2553053087245900.872347345637705
1220.09982136978968440.1996427395793690.900178630210316
1230.07773664840259350.1554732968051870.922263351597407
1240.05835868846146950.1167173769229390.94164131153853
1250.04141779014246890.08283558028493790.95858220985753
1260.04357351893747310.08714703787494620.956426481062527
1270.05253588879885130.1050717775977030.947464111201149
1280.03446458013267640.06892916026535270.965535419867324
1290.02398512700001380.04797025400002760.976014872999986
1300.01438357077124850.02876714154249690.985616429228751
1310.00815255960182720.01630511920365440.991847440398173
1320.004506495907666190.009012991815332390.995493504092334
1330.004213909848165020.008427819696330040.995786090151835
1340.002133098451249530.004266196902499060.99786690154875
1350.001398346353991110.002796692707982220.99860165364601
1360.0008085160295328040.001617032059065610.999191483970467
1370.0009569618373721330.001913923674744270.999043038162628


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level410.338842975206612NOK
5% type I error level570.471074380165289NOK
10% type I error level640.528925619834711NOK