Multiple Linear Regression - Estimated Regression Equation
O[t] = -0.578264633807969 + 0.925535412411281B[t] + 0.0132183880731054CM[t] + 0.0160035232163488CM_B[t] -1.31048736184262D[t] + 1.32524772719413D_B[t] + 0.406327339245114PE[t] -0.394585656390907PE_B[t] -0.341990685460128PC[t] + 0.363464570658177PC_B[t] + 0.942105175460255PS[t] + 0.0146495184249106PS_B[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.5782646338079691.018728-0.56760.571150.285575
B0.9255354124112810.02645834.981300
CM0.01321838807310540.081170.16280.8708620.435431
CM_B0.01600352321634880.0790440.20250.8398340.419917
D-1.310487361842620.218181-6.006400
D_B1.325247727194130.2210445.995400
PE0.4063273392451140.1435492.83060.0052970.002649
PE_B-0.3945856563909070.151846-2.59860.0103140.005157
PC-0.3419906854601280.108022-3.16590.001880.00094
PC_B0.3634645706581770.1092793.3260.0011130.000556
PS0.9421051754602550.04818519.551900
PS_B0.01464951842491060.0305660.47930.6324590.316229


Multiple Linear Regression - Regression Statistics
Multiple R0.986054290328691
R-squared0.972303063475619
Adjusted R-squared0.970230503599645
F-TEST (value)469.131471059976
F-TEST (DF numerator)11
F-TEST (DF denominator)147
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.43270045551945
Sum Squared Residuals301.736697501107


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12624.60419955148811.39580044851188
22325.4130327883993-2.41303278839934
32524.21831833967270.781681660327342
42319.51793665997623.48206334002384
52022.3741165311321-2.37411653113210
62922.23870162968136.76129837031869
72020.2205856699302-0.220585669930168
81616.6015594595828-0.601559459582765
91818.4816387188737-0.481638718873727
101717.4960001377340-0.496000137733962
112323.0502803334575-0.0502803334575189
123029.56444174774130.435558252258726
132322.70656221918040.293437780819597
141818.2815495853943-0.281549585394319
151515.7286961091583-0.728696109158334
161212.7283106162804-0.728310616280424
172120.94981953320170.0501804667983168
181515.3891673348079-0.389167334807897
192020.2068579140039-0.206857914003871
203130.64616905330450.353830946695543
212726.84655423870640.153445761293572
223433.45303170807260.546968291927387
232121.1673111384559-0.167311138455917
243130.50279865026540.497201349734577
251919.3078180295097-0.307818029509666
261616.5787508582618-0.578750858261846
272020.3178371410299-0.317837141029892
282121.1055840416876-0.105584041687579
292222.1827699761436-0.18276997614362
301717.5205361096234-0.520536109623447
312423.96063850985540.0393614901445721
322525.2453422813576-0.245342281357642
332626.0625779104939-0.0625779104938919
342524.99012151970810.00987848029186378
351717.6352757199115-0.63527571991151
363231.59684978082480.403150219175241
373332.35480175159070.645198248409278
381312.84442456037390.155575439626085
3902.18794968435403-2.18794968435403
402525.174433175096-0.174433175095998
412928.89183760342320.108162396576839
422222.0868260200892-0.0868260200891923
431818.2686093376018-0.268609337601756
441717.5296000678684-0.52960006786844
452020.3328639948932-0.332863994893188
461515.634898291154-0.634898291154002
472020.3458358671561-0.345835867156142
483332.54301254467620.456987455323814
492928.61213147840000.387868521599974
502323.2818153482682-0.281815348268217
512625.86156820490420.138431795095830
521818.4186711187687-0.418671118768676
532020.1016957485837-0.101695748583713
541111.4706891159079-0.470689115907915
552828.1707423952679-0.170742395267933
562625.98961420038600.0103857996140364
572222.1695069951440-0.169506995144029
581717.5343728156567-0.534372815656687
591212.5319259276468-0.53192592764685
601414.7123555505507-0.712355550550716
611717.5107009711061-0.510700971106108
622120.33809274706900.661907252931049
630-5.251085665582265.25108566558226
641818.4794330488443-0.479433048844267
651010.9799755833075-0.979975583307487
662928.73463911153540.265360888464638
673130.3255764596980.674423540301971
681919.4438616524450-0.443861652445022
6999.12373445468246-0.123734454682457
700-0.372268938781060.37226893878106
712827.53834017141520.461659828584786
721919.2588847154214-0.258884715421409
733029.63671456567650.3632854343235
742928.89767857882250.102321421177502
752625.82710106022280.172898939777162
762323.0101476516417-0.010147651641749
771313.869782539103-0.869782539102994
782121.3603289070511-0.360328907051055
791919.3574021941919-0.357402194191938
802827.79499208747080.205007912529245
812322.34519279681440.65480720318562
8200.446493779711891-0.446493779711891
832121.1961576111266-0.196157611126642
842019.45218570632330.547814293676748
8507.23771568007521-7.23771568007521
862121.2209489982355-0.220948998235549
872121.296532797793-0.296532797792993
881515.6989440017742-0.698944001774219
892826.97537404203481.02462595796523
900-0.2626129198223290.262612919822329
912625.85409109071740.145908909282642
92109.756674809225280.243325190774718
9300.0342085643549297-0.0342085643549297
942222.1776567768225-0.17765677682249
951919.3236304946870-0.323630494687044
963130.85192759288900.148072407111044
973130.59390064372430.406099356275668
982928.74943059500210.250569404997940
991919.1361975269074-0.136197526907408
1002221.99782676048620.00217323951376444
1012323.0837356952992-0.0837356952991858
1021515.3413957017525-0.341395701752491
1032020.2871768710127-0.287176871012683
1041818.4718631876671-0.471863187667068
1052322.04715793744710.95284206255289
10605.73875916131579-5.73875916131579
1072120.86992763603790.130072363962140
1082423.86463292492580.135367075074194
1092524.09985678747550.900143212524538
1100-1.856403752801881.85640375280188
1111313.5411151924826-0.541115192482635
1122827.56919372142140.430806278578554
1132120.11817117468100.881828825318958
1140-7.157152280356467.15715228035646
115910.0905632682401-1.09056326824014
1161616.3128204414968-0.312820441496799
1171919.2843924990371-0.284392499037124
1181717.4037431082757-0.403743108275679
1192524.9012824498280.0987175501719826
1202019.96248938121340.0375106187865630
1212928.46881112458860.531188875411384
1221413.60338522677160.396614773228388
1230-1.150074462256981.15007446225698
1241515.4353749719552-0.435374971955153
1251919.4786690485831-0.47866904858306
1262019.40128434376780.598715656232225
1270-4.269853030114584.26985303011458
1282020.3485480195630-0.348548019562961
1291818.4452068883406-0.445206888340618
1303332.39392573777480.60607426222523
1312222.1911170315266-0.191117031526603
1321616.4309318311061-0.430931831106054
1331717.4128504707148-0.412850470714811
1341616.3094613074666-0.309461307466617
1352121.0292327307523-0.0292327307522631
1362626.0715816303282-0.0715816303281492
1371818.2493848514483-0.249384851448318
1381818.4742408271431-0.474240827143107
1391717.2852117383983-0.285211738398313
1402222.1127894550919-0.112789455091947
1413028.65161169533741.34838830466263
14202.92325184158514-2.92325184158514
1432424.3774196544525-0.377419654452548
1442121.1736848378696-0.173684837869621
1452121.4055415731769-0.405541573176937
1462928.76286794862310.2371320513769
1473129.56276920765971.43723079234029
14800.431084021843937-0.431084021843937
1491616.2259330922225-0.225933092222508
1502222.0352239577883-0.0352239577882592
1512020.2570507908056-0.257050790805632
1522828.0166912573327-0.0166912573327274
1533837.04632358166830.953676418331654
1542221.9667062156130.0332937843869896
1552020.466852129873-0.466852129873005
1561717.3828668619047-0.382866861904748
1572827.78189897902190.218101020978084
1582222.2097426131333-0.209742613133305
1593130.73724630179370.262753698206324


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
150.9318903247751480.1362193504497050.0681096752248525
160.9968050819216950.00638983615661040.0031949180783052
170.9928763114391920.01424737712161590.00712368856080793
180.9853843675442310.02923126491153730.0146156324557687
190.9830952896631750.03380942067365010.0169047103368250
200.970856332054660.05828733589067960.0291436679453398
210.9632075221269370.07358495574612590.0367924778730630
220.9421496017731350.1157007964537310.0578503982268655
230.9127322853819010.1745354292361980.087267714618099
240.9650100132423330.06997997351533450.0349899867576673
250.947600648535720.1047987029285610.0523993514642806
260.9247262686917850.1505474626164290.0752737313082147
270.8952002199361030.2095995601277930.104799780063897
280.8580809797363570.2838380405272870.141919020263643
290.8133118387392020.3733763225215970.186688161260798
300.76977837469880.4604432506023990.230221625301199
310.7621131474026950.4757737051946090.237886852597305
320.7226346498817680.5547307002364630.277365350118232
330.6638504872041650.672299025591670.336149512795835
340.6207090854084140.7585818291831720.379290914591586
350.5605564879901520.8788870240196960.439443512009848
360.5138125757638910.9723748484722180.486187424236109
370.4703941428274840.940788285654970.529605857172516
380.4136575781733730.8273151563467470.586342421826627
390.5989743697082820.8020512605834350.401025630291718
400.5544929200017260.8910141599965480.445507079998274
410.4956622767746610.9913245535493210.504337723225339
420.439305588742770.878611177485540.56069441125723
430.3854785274070060.7709570548140120.614521472592994
440.3360576254323610.6721152508647230.663942374567638
450.287567283519690.575134567039380.71243271648031
460.2422175044405540.4844350088811090.757782495559446
470.2011319766039720.4022639532079440.798868023396028
480.1671707873424600.3343415746849200.83282921265754
490.1360074515731690.2720149031463380.863992548426831
500.1100517112446250.2201034224892510.889948288755375
510.08633583343720930.1726716668744190.91366416656279
520.06765830747216790.1353166149443360.932341692527832
530.05291754103911010.1058350820782200.94708245896089
540.03980308500496780.07960617000993570.960196914995032
550.03047492367887830.06094984735775670.969525076321122
560.02248201920744350.0449640384148870.977517980792556
570.01616870357703750.03233740715407490.983831296422963
580.01170990679544430.02341981359088860.988290093204556
590.008294450049296890.01658890009859380.991705549950703
600.005993237545797790.01198647509159560.994006762454202
610.004111996227776450.00822399245555290.995888003772224
620.004409942937015850.00881988587403170.995590057062984
630.01138282136996380.02276564273992760.988617178630036
640.00806512535221240.01613025070442480.991934874647788
650.005984439018534860.01196887803706970.994015560981465
660.004203602593084080.008407205186168160.995796397406916
670.003076827440668310.006153654881336620.996923172559332
680.00210039581852770.00420079163705540.997899604181472
690.001843086301977660.003686172603955320.998156913698022
700.08573419243754820.1714683848750960.914265807562452
710.07045936205422140.1409187241084430.929540637945779
720.0555877519990730.1111755039981460.944412248000927
730.04347856092208260.08695712184416520.956521439077917
740.03321796963960980.06643593927921950.96678203036039
750.02516763575563510.05033527151127020.974832364244365
760.01884149364322110.03768298728644220.98115850635678
770.01538034887802890.03076069775605780.98461965112197
780.01155659907173140.02311319814346290.988443400928269
790.008360040055651550.01672008011130310.991639959944348
800.00600073094336620.01200146188673240.993999269056634
810.005696938941719760.01139387788343950.99430306105828
820.01930950688784160.03861901377568320.980690493112159
830.01432014855753540.02864029711507080.985679851442465
840.01334727978265820.02669455956531630.986652720217342
850.9695889427609930.0608221144780130.0304110572390065
860.9605088840680980.07898223186380420.0394911159319021
870.95120000269860.09759999460280140.0487999973014007
880.9398053505464360.1203892989071280.0601946494535639
890.9270992476348870.1458015047302260.0729007523651132
900.9356620442592160.1286759114815690.0643379557407845
910.9186522603595590.1626954792808830.0813477396404414
920.9039739508304750.1920520983390490.0960260491695246
930.925192040220130.1496159195597410.0748079597798703
940.9093440251176690.1813119497646620.090655974882331
950.888459864581470.2230802708370580.111540135418529
960.8625002887995380.2749994224009240.137499711200462
970.8339358747198910.3321282505602170.166064125280109
980.80146329640560.3970734071887980.198536703594399
990.7641360607240230.4717278785519540.235863939275977
1000.7225615711659640.5548768576680720.277438428834036
1010.6778705345918280.6442589308163450.322129465408172
1020.6331065565270790.7337868869458430.366893443472921
1030.5846249278468560.8307501443062870.415375072153143
1040.5497089087106890.9005821825786220.450291091289311
1050.5093418522958220.9813162954083560.490658147704178
1060.9995336153260940.0009327693478126650.000466384673906333
1070.9993365405526180.001326918894763250.000663459447381625
1080.9989210751268820.0021578497462360.001078924873118
1090.9983174234904550.003365153019089460.00168257650954473
1100.9996767310327040.0006465379345928250.000323268967296413
1110.9994556260540860.001088747891828880.000544373945914438
1120.9991427143280520.001714571343896760.00085728567194838
1130.9987752998681770.002449400263645060.00122470013182253
114100
115100
116100
117100
118100
119100
120100
121100
122100
123100
12412.29027722876273e-3141.14513861438137e-314
12512.19100778923149e-2981.09550389461574e-298
12612.86460374522558e-2941.43230187261279e-294
12711.57053833308214e-2717.85269166541068e-272
12815.08887628966546e-2532.54443814483273e-253
12911.92395357690118e-2479.61976788450588e-248
13013.04916765780649e-2311.52458382890324e-231
13115.81868681185882e-2212.90934340592941e-221
13215.49809410317547e-2032.74904705158774e-203
13312.46216708404559e-1921.23108354202280e-192
13419.46371938403483e-1754.73185969201742e-175
13511.01279277441768e-1635.06396387208839e-164
13612.02976563452989e-1511.01488281726494e-151
13717.76901729438546e-1373.88450864719273e-137
13811.17106859273505e-1245.85534296367523e-125
13913.26959676519298e-1111.63479838259649e-111
14013.38936234798622e-951.69468117399311e-95
14114.7380306538587e-822.36901532692935e-82
14213.33581610477523e-721.66790805238761e-72
14315.27979005315606e-572.63989502657803e-57
14416.40295872702784e-433.20147936351392e-43


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level460.353846153846154NOK
5% type I error level660.507692307692308NOK
10% type I error level770.592307692307692NOK