Multiple Linear Regression - Estimated Regression Equation
CO2-uitstoot[t] = + 0.0424296098248327 -5.07184841354021`Kyoto-protocol`[t] + 0.851676438315116`Y-1`[t] + 0.112139788243898t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.04242960982483270.9385340.04520.9639940.481997
`Kyoto-protocol`-5.071848413540213.214778-1.57770.116490.058245
`Y-1`0.8516764383151160.04000721.288400
t0.1121397882438980.0317213.53520.0005240.000262


Multiple Linear Regression - Regression Statistics
Multiple R0.988522052468713
R-squared0.977175848216957
Adjusted R-squared0.976775424501465
F-TEST (value)2440.3545804382
F-TEST (DF numerator)3
F-TEST (DF denominator)171
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation6.00814902705278
Sum Squared Residuals6172.73315904807


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
144.41295158964428-0.412951589644282
253.673414939573061.32658506042694
364.637231166131991.36276883386801
465.60104739269110.398952607308896
565.7131871809350.286812819064998
675.82532696917891.1746730308211
786.789143195737921.21085680426208
877.75295942229693-0.752959422296928
987.013422772225710.986577227774287
1077.97723899878472-0.977238998784724
1187.237702348713510.762297651286491
1288.20151857527252-0.20151857527252
1398.313658363516420.686341636483582
1499.27747459007544-0.277474590075435
1589.38961437831933-1.38961437831933
1698.650077728248110.349922271751888
1799.61389395480713-0.613893954807129
18109.726033743051030.273966256948972
191110.689849969610.310150030389961
201211.65366619616910.346333803830944
211312.61748242272810.382517577271932
221313.5812986492871-0.581298649287079
231313.693438437531-0.693438437530977
241413.80557822577490.194421774225125
251414.7693944523339-0.769394452333892
261514.88153424057780.11846575942221
271515.8453504671368-0.845350467136801
281615.95749025538070.0425097446193007
291616.9213064819397-0.921306481939717
301717.0334462701836-0.0334462701836146
311817.99726249674260.00273750325737411
321918.96107872330160.0389212766983568
332019.92489494986070.0751050501393455
342220.88871117641971.11128882358033
352022.7042038412938-2.7042038412938
362221.11299075290750.887009247092532
372522.92848341778162.07151658221841
382425.5956525209708-1.59565252097084
392524.85611587089960.143884129100383
402825.81993209745862.18006790254137
412628.4871012006479-2.48710120064788
422726.89588811226150.104111887738456
432627.8597043388206-1.85970433882056
442527.1201676887493-2.12016768874934
452726.38063103867810.619368961321879
462828.1961237035522-0.196123703552249
473029.15993993011130.840060069888737
483130.97543259498540.0245674050146054
493231.93924882154440.0607511784555911
503432.90306504810341.09693495189658
513434.7185577129775-0.718557712977551
523334.8306975012215-1.83069750122145
533234.0911608511502-2.09116085115023
543433.3516242010790.648375798920985
553635.16711686595310.832883134046858
563736.98260953082730.0173904691727267
574037.94642575738632.05357424261371
583840.6135948605755-2.61359486057553
593839.0223817721892-1.0223817721892
603639.1345215604331-3.1345215604331
614037.54330847204682.45669152795324
624041.0621540135511-1.06215401355113
634241.1742938017950.825706198204974
644442.98978646666921.01021353333084
654544.80527913154330.194720868456715
664745.76909535810231.2309046418977
674947.58458802297641.41541197702357
684749.4000806878506-2.40008068785056
694947.80886759946421.19113240053578
705249.62436026433842.37563973566165
715052.2915293675276-2.2915293675276
725050.7003162791413-0.700316279141265
735750.81245606738526.18754393261484
745856.88633092383491.11366907616513
755857.85014715039390.149852849606112
765857.96228693863780.037713061362214
776158.07442672688172.92557327311832
786160.74159583007090.25840416992907
796460.85373561831483.14626438168517
806863.52090472150414.47909527849593
814067.0397502630084-27.0397502630084
823443.3049497784291-9.30494977842909
834638.30703093678237.69296906321771
843648.6392879848076-12.6392879848076
853440.2346633899003-6.23466338990031
864538.6434503015146.35654969848602
875548.12403091122426.87596908877585
885056.7529350826192-6.75293508261921
895652.60669267928753.39330732071247
907257.828891097422114.1711089025779
917671.56785389870794.43214610129213
927875.08669944021222.91330055978776
937776.90219210508640.0978078949136302
949076.162655455015213.8373445449848
958887.34658894135550.653411058644447
969785.755375852969211.2446241470308
979393.5326035860492-0.532603586049171
988490.2380376210326-6.2380376210326
996782.6850894644405-15.6850894644405
1007268.31872980132743.68127019867262
1017572.68925178114692.31074821885314
1027175.3564208843361-4.35642088433611
1037572.06185491931952.93814508068047
1049075.580700460823914.4192995391761
1057888.4679868237945-10.4679868237945
1067378.360009352257-5.36000935225705
1076274.2137669489254-12.2137669489254
1086564.9574659157030.0425340842970153
1096167.6246350188922-6.62463501889223
1105864.3300690538757-6.33006905387566
1113361.8871795271742-28.8871795271742
1123940.7074083575402-1.70740835754021
1135645.929606775674810.0703932243252
1147960.520246015275718.4797539847243
1158280.22094388476721.77905611523276
1167982.8881129879565-3.88811298795648
1177380.445223461255-7.44522346125504
1188775.447304619608211.5526953803918
1198587.4829145442638-2.48291454426376
1208385.8917014558774-2.89170145587743
1218284.300488367491-2.30048836749109
1228383.5609517174199-0.560951717419872
1239284.52476794397897.47523205602111
1249592.30199567705882.69800432294116
1259794.9691647802482.03083521975192
1268796.7846574451222-9.7846574451222
1278488.380032850215-4.38003285021494
1288485.9371433235135-1.93714332351349
1298986.04928311175742.95071688824261
13010390.419805091576912.5801949084231
131106102.4554150162323.5445849837676
132109105.1225841194223.87741588057836
133106107.789753222611-1.78975322261089
134105105.346863695909-0.346863695909438
135115104.60732704583810.3926729541618
136120113.2362312172336.76376878276672
137124117.6067531970536.39324680294725
138121121.125598738557-0.125598738557119
139131118.68270921185612.3172907881443
140139127.31161338325111.6883866167493
141133134.237164678016-1.23716467801554
142119129.239245836369-10.2392458363687
143123117.4279154882015.57208451179897
144120120.946761029705-0.946761029705388
145128118.5038715030049.49612849699606
146134125.4294227977698.57057720223125
147126130.651621215903-4.65162121590336
148115123.950349497626-8.95034949762632
149106114.694048464404-8.69404846440395
15099107.141100307812-8.1411003078118
151100101.29150502785-1.29150502784989
15299102.255321254409-3.25532125440891
15399101.515784604338-2.51578460433769
154100101.627924392582-1.62792439258158
155100102.591740619141-2.5917406191406
156108102.7038804073855.2961195926155
157109109.629431702149-0.629431702149322
158115110.5932479287084.40675207129167
159114115.815446346843-1.81544634684293
160108115.075909696772-7.07590969677171
161113110.0779908551252.92200914487509
162118114.4485128349443.55148716505561
163122118.8190348147643.18096518523613
164118122.337880356268-4.33788035626822
165121119.0433143912521.95668560874834
166118121.710483494441-3.7104834944409
167121119.2675939677391.73240603226054
168121121.934763070929-0.934763070928698
169112122.046902859173-10.0469028591726
170119114.493954702584.50604529741954
171116120.56782955903-4.56782955903017
172110113.053091618789-3.05309161878851
173111108.0551727771422.94482722285829
174106109.018989003701-3.01898900370073
175108104.8727466003693.12725339963095


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.0008218300969848140.001643660193969630.999178169903015
80.000158812402381480.000317624804762960.999841187597619
91.89381812833468e-053.78763625666936e-050.999981061818717
101.25029840413732e-052.50059680827465e-050.99998749701596
111.84311609912246e-063.68623219824493e-060.999998156883901
122.61305492100515e-075.22610984201029e-070.999999738694508
132.74277774161488e-085.48555548322977e-080.999999972572223
142.69047186175295e-095.3809437235059e-090.999999997309528
151.60805828469912e-093.21611656939825e-090.999999998391942
161.94899343336464e-103.89798686672927e-100.9999999998051
172.62446243821172e-115.24892487642345e-110.999999999973755
182.84860917108138e-125.69721834216275e-120.999999999997151
196.36555091011624e-131.27311018202325e-120.999999999999363
203.02005667864535e-136.0401133572907e-130.999999999999698
211.40187875012143e-132.80375750024285e-130.99999999999986
221.68689201221631e-143.37378402443261e-140.999999999999983
231.84447719755587e-153.68895439511173e-150.999999999999998
243.44143229705924e-166.88286459411848e-161
253.66480563605496e-177.32961127210993e-171
266.47997226914037e-181.29599445382807e-171
276.75611243594189e-191.35122248718838e-181
281.14109064245456e-192.28218128490911e-191
291.16873117847802e-202.33746235695604e-201
301.8976619747484e-213.7953239494968e-211
313.5764135842975e-227.15282716859501e-221
326.97321815696626e-231.39464363139325e-221
331.26083974038722e-232.52167948077443e-231
341.30932598127292e-232.61865196254583e-231
354.72260564544272e-239.44521129088543e-231
363.004223867798e-236.008447735596e-231
372.31857484277915e-224.63714968555829e-221
385.93207523129173e-231.18641504625835e-221
391.04775510905661e-232.09551021811322e-231
403.49294976565681e-236.98589953131362e-231
413.74962883141827e-237.49925766283653e-231
426.58143025440552e-241.3162860508811e-231
431.98840660346123e-243.97681320692245e-241
448.0312891360986e-251.60625782721972e-241
452.05070097964059e-254.10140195928119e-251
463.29663622456245e-266.59327244912491e-261
471.2236440463811e-262.4472880927622e-261
482.23575485062035e-274.4715097012407e-271
494.06616126379041e-288.13232252758083e-281
501.90042443054267e-283.80084886108533e-281
512.83037081359115e-295.66074162718229e-291
527.97215989765368e-301.59443197953074e-291
532.88199067026211e-305.76398134052422e-301
547.74781271394615e-311.54956254278923e-301
552.66635827197622e-315.33271654395244e-311
564.62128078595882e-329.24256157191764e-321
579.609146446249e-321.9218292892498e-311
586.60939933288359e-321.32187986657672e-311
591.0663829875254e-322.13276597505081e-321
601.48968014096096e-322.97936028192192e-321
614.17964485263909e-328.35928970527819e-321
626.93844759399843e-331.38768951879969e-321
632.30414968229917e-334.60829936459834e-331
649.562560655017e-341.9125121310034e-331
651.9784863007931e-343.9569726015862e-341
669.00723732863456e-351.80144746572691e-341
674.05898437398682e-358.11796874797364e-351
682.12986405116737e-354.25972810233474e-351
697.64952371243945e-361.52990474248789e-351
709.87062331323163e-361.97412466264633e-351
715.15001381625357e-361.03000276325071e-351
728.75528514131646e-371.75105702826329e-361
733.26478515277502e-336.52957030555004e-331
747.3723787803947e-341.47447575607894e-331
751.37357277782799e-342.74714555565598e-341
762.54226909029318e-355.08453818058635e-351
771.986772713324e-353.97354542664799e-351
783.72785255470529e-367.45570510941057e-361
792.60733228306951e-365.21466456613901e-361
804.79835521986541e-369.59671043973082e-361
811.23645448073457e-122.47290896146915e-120.999999999998764
823.02848740339667e-116.05697480679334e-110.999999999969715
834.36450099723679e-118.72900199447358e-110.999999999956355
842.50094734700134e-095.00189469400268e-090.999999997499053
853.49549242900941e-096.99098485801882e-090.999999996504508
864.4890849855576e-098.97816997111519e-090.999999995510915
876.5905389121441e-091.31810778242882e-080.99999999340946
888.76420499810168e-091.75284099962034e-080.999999991235795
895.92332718001453e-091.18466543600291e-080.999999994076673
902.49453054110895e-074.98906108221789e-070.999999750546946
912.57214653132561e-075.14429306265122e-070.999999742785347
921.93234261643068e-073.86468523286135e-070.999999806765738
931.09331359105048e-072.18662718210097e-070.99999989066864
942.10292939376098e-064.20585878752197e-060.999997897070606
951.23481951248022e-062.46963902496044e-060.999998765180487
964.7468425184947e-069.4936850369894e-060.999995253157482
973.02067981358668e-066.04135962717336e-060.999996979320186
983.59036848804231e-067.18073697608463e-060.999996409631512
996.92941639184309e-050.0001385883278368620.999930705836082
1005.18668087591253e-050.0001037336175182510.99994813319124
1013.5006111633665e-057.001222326733e-050.999964993888366
1022.82973731601422e-055.65947463202843e-050.99997170262684
1031.96306152402374e-053.92612304804747e-050.99998036938476
1040.0001731203470645320.0003462406941290650.999826879652935
1050.0003683065592314940.0007366131184629870.999631693440769
1060.0003370062462752150.000674012492550430.999662993753725
1070.001139180983854670.002278361967709340.998860819016145
1080.0007831385823036560.001566277164607310.999216861417696
1090.000874612146877180.001749224293754360.999125387853123
1100.0009423942212713060.001884788442542610.999057605778729
1110.2842993543248750.5685987086497510.715700645675125
1120.2766252712829740.5532505425659480.723374728717026
1130.3147472842517950.6294945685035890.685252715748205
1140.6301940272238410.7396119455523180.369805972776159
1150.5879801358836510.8240397282326990.412019864116349
1160.5732964439523870.8534071120952270.426703556047613
1170.6271602919305890.7456794161388230.372839708069411
1180.7123360536554830.5753278926890330.287663946344517
1190.688087280480020.6238254390399610.311912719519981
1200.6693959229412080.6612081541175850.330604077058793
1210.6476312199032360.7047375601935270.352368780096764
1220.6136345112029480.7727309775941050.386365488797052
1230.6112342367004410.7775315265991180.388765763299559
1240.5682470515267330.8635058969465340.431752948473267
1250.5227375044830390.9545249910339220.477262495516961
1260.6645495948454060.6709008103091880.335450405154594
1270.6957031838990560.6085936322018890.304296816100944
1280.7063140380586690.5873719238826630.293685961941331
1290.677549187756980.6449016244860410.322450812243021
1300.7320319567872030.5359360864255950.267968043212797
1310.6934924784632050.6130150430735890.306507521536795
1320.6526822121576720.6946355756846570.347317787842328
1330.6388032227720660.7223935544558690.361196777227934
1340.615690878827690.7686182423446190.38430912117231
1350.6416896260263120.7166207479473750.358310373973688
1360.6220418927009360.7559162145981280.377958107299064
1370.6032706048282690.7934587903434620.396729395171731
1380.5527527258463410.8944945483073180.447247274153659
1390.6919013871198790.6161972257602420.308098612880121
1400.8438684592201970.3122630815596060.156131540779803
1410.8105299716290290.3789400567419430.189470028370972
1420.863549773019880.2729004539602410.136450226980121
1430.8678167666582810.2643664666834380.132183233341719
1440.8324719405144790.3350561189710420.167528059485521
1450.9288504234895080.1422991530209850.0711495765104925
1460.9945253950619370.01094920987612630.00547460493806317
1470.9966853099268740.006629380146251750.00331469007312587
1480.9960066181676440.007986763664711760.00399338183235588
1490.9939591281478410.01208174370431740.00604087185215872
1500.993731964568310.01253607086337840.0062680354316892
1510.9897083968152230.02058320636955470.0102916031847773
1520.986610713731030.02677857253794160.0133892862689708
1530.9842796597404650.03144068051907040.0157203402595352
1540.9831450995219740.03370980095605150.0168549004780257
1550.9916727484448220.01665450311035640.00832725155517822
1560.9862056141567220.02758877168655520.0137943858432776
1570.9828924278630440.03421514427391170.0171075721369558
1580.9716589270314940.05668214593701280.0283410729685064
1590.9536050741975440.09278985160491290.0463949258024564
1600.989927331692020.02014533661596160.0100726683079808
1610.9957507849763380.008498430047324190.0042492150236621
1620.9971263426132660.005747314773468820.00287365738673441
1630.9926752922919180.01464941541616430.00732470770808216
1640.988620564697190.02275887060561770.0113794353028089
1650.973992254755070.05201549048986150.0260077452449308
1660.960777109215960.07844578156808140.0392228907840407
1670.908936801467890.1821263970642180.0910631985321092
1680.865677710122530.2686445797549410.134322289877471


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1080.666666666666667NOK
5% type I error level1210.746913580246914NOK
10% type I error level1250.771604938271605NOK