Multiple Linear Regression - Estimated Regression Equation
CO2[t] = -3265.94681869448 + 1.81898496240603JAARTAL[t] -0.265286713286696MAAND[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-3265.9468186944841.805519-78.122400
JAARTAL1.818984962406030.02090887.001200
MAAND-0.2652867132866960.034924-7.596100


Multiple Linear Regression - Regression Statistics
Multiple R0.984815872745831
R-squared0.969862303212133
Adjusted R-squared0.969607976656961
F-TEST (value)3813.45275784006
F-TEST (DF numerator)2
F-TEST (DF denominator)237
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.86769280275037
Sum Squared Residuals826.721508090592


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1353.63353.5679697802280.0620302197716749
2354.72353.3026830669331.41731693306715
3355.49353.0373963536462.45260364635385
4356.1352.7721096403593.32789035964056
5357.08352.5068229270734.57317707292722
6356.11352.2415362137863.86846378621394
7354.67351.9762495004992.69375049950064
8352.67351.7109627872130.959037212787338
9351.05351.445676073926-0.395676073925972
10351.36351.1803893606390.179610639360726
11352.81350.9151026473531.89489735264741
12354.21350.6498159340663.56018406593409
13354.87355.386954742626-0.516954742625574
14355.67355.1216680293390.548331970661134
15357354.8563813160522.14361868394781
16358.4354.5910946027663.80890539723449
17359354.3258078894794.67419211052121
18357.99354.0605211761923.92947882380791
19355.96353.7952344629052.16476553709458
20353.78353.5299477496190.250052250381269
21352.2353.264661036332-1.06466103633202
22352.22352.999374323045-0.779374323045285
23353.7352.7340876097590.965912390241374
24354.98352.4688008964722.5111991035281
25356.08357.205939705032-1.12593970503162
26356.84356.940652991745-0.100652991744932
27357.73356.6753662784581.05463372154181
28358.91356.4100795651712.49992043482851
29359.45356.1447928518853.30520714811517
30359.19355.8795061385983.31049386140188
31356.72355.6142194253111.1057805746886
32354.77355.348932712025-0.578932712024747
33352.8355.083645998738-2.28364599873802
34353.21354.818359285451-1.60835928545136
35354.15354.553072572165-0.403072572164662
36355.39354.2877858588781.10221414112204
37356.76359.024924667438-2.26492466743764
38357.17358.759637954151-1.58963795415092
39358.26358.494351240864-0.234351240864245
40359.17358.2290645275780.940935472422477
41360.07357.9637778142912.10622218570915
42359.41357.6984911010041.71150889899588
43357.36357.433204387717-0.0732043877174364
44355.29357.167917674431-1.87791767443073
45353.96356.902630961144-2.94263096114408
46354.03356.637344247857-2.60734424785739
47355.27356.372057534571-1.10205753457068
48356.7356.1067708212840.593229178716021
49358.05360.843909629844-2.79390962984364
50358.8360.578622916557-1.77862291655695
51359.67360.31333620327-0.643336203270245
52361.13360.0480494899841.08195051001643
53361.48359.7827627766971.69723722330315
54360.6359.517476063411.08252393658985
55359.2359.252189350124-0.0521893501234865
56357.23358.986902636837-1.75690263683676
57355.42358.72161592355-3.30161592355007
58355.89358.456329210263-2.5663292102634
59357.41358.191042496977-0.781042496976664
60358.74357.925755783690.814244216310016
61359.73362.66289459225-2.93289459224966
62360.61362.397607878963-1.78760787896297
63361.6362.132321165676-0.532321165676265
64363.05361.867034452391.18296554761042
65363.62361.6017477391032.01825226089711
66363.03361.3364610258161.69353897418377
67361.55361.0711743125290.478825687470509
68358.94360.805887599243-1.86588759924281
69357.93360.540600885956-2.6106008859561
70357.8360.275314172669-2.4753141726694
71359.22360.010027459383-0.790027459382689
72360.42359.7447407460960.675259253903997
73361.83364.481879554656-2.65187955465572
74362.94364.216592841369-1.27659284136901
75363.91363.951306128082-0.0413061280822889
76364.28363.6860194147960.593980585204355
77364.93363.4207327015091.50926729849109
78364.7363.1554459882221.54455401177776
79363.31362.8901592749360.419840725064474
80361.15362.624872561649-1.47487256164885
81359.41362.359585848362-2.94958584836211
82359.34362.094299135075-2.75429913507546
83360.62361.829012421789-1.20901242178874
84361.96361.5637257085020.396274291497933
85362.81366.300864517062-3.49086451706173
86363.87366.035577803775-2.16557780377503
87364.25365.770291090488-1.52029109048834
88366.02365.5050043772020.51499562279834
89366.47365.2397176639151.23028233608508
90365.37364.9744309506280.395569049371755
91364.1364.709144237342-0.609144237341531
92361.89364.443857524055-2.55385752405487
93360.05364.178570810768-4.12857081076815
94360.49363.913284097481-3.42328409748146
95362.21363.647997384195-1.43799738419479
96364.12363.3827106709080.737289329091933
97365368.119849479468-3.11984947946776
98365.82367.854562766181-2.03456276618107
99366.95367.589276052894-0.639276052894375
100368.42367.3239893396081.09601066039235
101369.33367.0587026263212.27129737367901
102368.78366.7934159130341.9865840869657
103367.59366.5281291997481.0618708002524
104365.81366.262842486461-0.452842486460879
105363.83365.997555773174-2.1675557731742
106364.18365.732269059887-1.55226905988748
107365.36365.466982346601-0.106982346600779
108366.88365.2016956333141.6783043666859
109367.97369.938834441874-1.96883444187375
110368.83369.673547728587-0.843547728587102
111369.46369.40826101530.0517389846995905
112370.77369.1429743020141.62702569798629
113370.66368.8776875887271.78231241127303
114370.1368.612400875441.48759912455972
115369.1368.3471141621540.752885837846419
116366.7368.081827448867-1.38182744886692
117364.61367.81654073558-3.2065407355802
118365.17367.551254022294-2.3812540222935
119366.51367.285967309007-0.775967309006827
120367.86367.020680595720.839319404279892
121369.07371.75781940428-2.68781940427981
122369.32371.492532690993-2.17253269099312
123370.38371.227245977706-0.847245977706419
124371.63370.961959264420.668040735580277
125371.32370.6966725511330.623327448866971
126371.51370.4313858378461.07861416215367
127369.69370.16609912456-0.476099124559631
128368.18369.900812411273-1.72081241127293
129366.87369.635525697986-2.76552569798623
130366.94369.3702389847-2.43023898469954
131368.27369.104952271413-0.834952271412862
132369.62368.8396655581260.780334441873857
133370.47373.576804366686-3.10680436668581
134371.44373.311517653399-1.87151765339914
135372.39373.046230940112-0.656230940112454
136373.32372.7809442268260.539055773174249
137373.77372.5156575135391.25434248646093
138373.13372.2503708002520.879629199747644
139371.51371.985084086966-0.475084086965664
140369.59371.719797373679-2.12979737367898
141368.12371.454510660392-3.33451066039226
142368.38371.189223947106-2.80922394710557
143369.64370.923937233819-1.28393723381888
144371.11370.6586505205320.451349479467841
145372.38375.395789329092-3.01578932909186
146373.08375.130502615805-2.05050261580518
147373.87374.865215902518-0.995215902518461
148374.93374.5999291892320.330070810768238
149375.58374.3346424759451.24535752405491
150375.44374.0693557626581.37064423734162
151373.91373.8040690493720.105930950628345
152371.77373.538782336085-1.768782336085
153370.72373.273495622798-2.55349562279826
154370.5373.008208909512-2.50820890951159
155372.19372.742922196225-0.552922196224896
156373.71372.4776354829381.23236451706178
157374.92377.214774291498-2.29477429149787
158375.63376.949487578211-1.31948757821119
159376.51376.684200864924-0.174200864924499
160377.75376.4189141516381.33108584836221
161378.54376.1536274383512.38637256164892
162378.21375.8883407250642.32165927493558
163376.65375.6230540117781.02694598822227
164374.28375.357767298491-1.07776729849104
165373.12375.092480585204-1.97248058520431
166373.1374.827193871918-1.72719387191759
167374.67374.5619071586310.108092841369096
168375.97374.2966204453441.6733795546558
169377.03379.033759253904-2.00375925390394
170377.87378.768472540617-0.898472540617207
171378.88378.5031858273310.376814172669481
172380.42378.2378991140442.1821008859562
173380.62377.9726124007572.64738759924288
174379.66377.707325687471.9526743125296
175377.48377.4420389741840.0379610258162889
176376.07377.176752260897-1.10675226089704
177374.1376.91146554761-2.81146554761031
178374.47376.646178834324-2.17617883432361
179376.15376.380892121037-0.230892121036968
180377.51376.115605407751.39439459224974
181378.43380.85274421631-2.42274421630993
182379.7380.587457503023-0.887457503023249
183380.91380.3221707897370.587829210263484
184382.2380.056884076452.14311592355014
185382.45379.7915973631632.65840263683684
186382.14379.5263106498762.61368935012353
187380.6379.261023936591.33897606341027
188378.6378.995737223303-0.395737223303036
189376.72378.730450510016-2.01045051001634
190376.98378.46516379673-1.48516379672965
191378.29378.1998770834430.0901229165570505
192380.07377.9345903701562.13540962984372
193381.36382.671729178716-1.31172917871595
194382.19382.406442465429-0.216442465429265
195382.65382.1411557521430.508844247857411
196384.65381.8758690388562.77413096114411
197384.94381.6105823255693.32941767443082
198384.01381.3452956122822.66470438771751
199382.15381.0800088989961.0699911010042
200380.33380.814722185709-0.4847221857091
201378.81380.549435472422-1.73943547242239
202379.06380.284148759136-1.22414875913569
203380.17380.0188620458490.151137954151021
204381.85379.7535753325622.09642466743772
205382.88384.490714141122-1.61071414112199
206383.77384.225427427835-0.455427427835306
207384.42383.9601407145490.459859285451425
208386.36383.6948540012622.66514599873812
209386.53383.4295672879753.10043271202477
210386.01383.1642805746892.84571942531149
211384.45382.8989938614021.55100613859818
212381.96382.633707148115-0.67370714811513
213380.81382.368420434828-1.55842043482841
214381.09382.103133721542-1.01313372154174
215382.37381.8378470082550.532152991744984
216383.84381.5725602949682.26743970503165
217385.42386.309699103528-0.889699103527995
218385.72386.044412390241-0.324412390241287
219385.96385.7791256769550.180874323045361
220387.18385.5138389636681.66616103633209
221388.5385.2485522503813.25144774961877
222387.88384.9832655370952.89673446290547
223386.38384.7179788238081.66202117619216
224384.15384.452692110521-0.302692110521157
225383.07384.187405397234-1.11740539723444
226382.98383.922118683948-0.942118683947723
227384.11383.6568319706610.453168029338969
228385.54383.3915452573742.14845474262567
229386.92388.128684065934-1.20868406593402
230387.41387.863397352647-0.453397352647315
231388.77387.5981106393611.17188936063934
232389.46387.3328239260742.12717607392603
233390.18387.0675372127873.11246278721276
234389.43386.8022504995012.62774950049945
235387.74386.5369637862141.20303621378615
236385.91386.271677072927-0.361677072927136
237384.77386.00639035964-1.23639035964048
238384.38385.741103646354-1.36110364635377
239385.99385.4758169330670.514183066932937
240387.26385.210530219782.04946978021962


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.07498598111783090.1499719622356620.925014018882169
70.2285460345769910.4570920691539830.771453965423009
80.4981524386743730.9963048773487460.501847561325627
90.6769524470947890.6460951058104230.323047552905211
100.6259726429208070.7480547141583860.374027357079193
110.5347587955196780.9304824089606440.465241204480322
120.5524492934983850.8951014130032310.447550706501615
130.4554944013375990.9109888026751980.544505598662401
140.381270047941820.762540095883640.61872995205818
150.3843128919216970.7686257838433940.615687108078303
160.5009614606149180.9980770787701640.499038539385082
170.6300608471411620.7398783057176760.369939152858838
180.6301443485308720.7397113029382570.369855651469128
190.5782279223231870.8435441553536260.421772077676813
200.6152927470614750.7694145058770510.384707252938525
210.7184128621316530.5631742757366940.281587137868347
220.7354221615092320.5291556769815360.264577838490768
230.6838201345126380.6323597309747250.316179865487362
240.6745883390727870.6508233218544250.325411660927213
250.6797278821238040.6405442357523920.320272117876196
260.6268832920567520.7462334158864950.373116707943248
270.5825656783982380.8348686432035240.417434321601762
280.6088381311294750.782323737741050.391161868870525
290.6813037844389330.6373924311221350.318696215561067
300.7315977727679280.5368044544641430.268402227232072
310.6944858080237350.6110283839525290.305514191976265
320.6918003622470980.6163992755058050.308199637752902
330.7748542835575740.4502914328848520.225145716442426
340.7819445384978340.4361109230043320.218055461502166
350.7457160066358430.5085679867283130.254283993364156
360.7235923668224130.5528152663551730.276407633177587
370.7415806861067480.5168386277865030.258419313893252
380.7147032663408020.5705934673183960.285296733659198
390.672770270747890.654459458504220.32722972925211
400.6630652659610510.6738694680778990.336934734038949
410.7166116503100280.5667766993799430.283388349689972
420.7347926413259880.5304147173480250.265207358674013
430.6967630204320630.6064739591358730.303236979567937
440.6878260965576670.6243478068846670.312173903442333
450.7236883258459150.552623348308170.276311674154085
460.7265408631348960.5469182737302080.273459136865104
470.6862376201361270.6275247597277460.313762379863873
480.6780357917084240.6439284165831520.321964208291576
490.6738689531415760.6522620937168470.326131046858424
500.6345891904868770.7308216190262460.365410809513123
510.5979655856746830.8040688286506330.402034414325317
520.6353614696123950.729277060775210.364638530387605
530.704890200332530.5902195993349410.29510979966747
540.7245364843436360.5509270313127280.275463515656364
550.6984550289840730.6030899420318550.301544971015928
560.6659031892680150.6681936214639710.334096810731985
570.6873478974510210.6253042050979580.312652102548979
580.669782828105310.6604343437893810.330217171894691
590.6345639762015630.7308720475968740.365436023798437
600.6557436821596850.6885126356806310.344256317840315
610.6455476397451580.7089047205096830.354452360254842
620.6070067433187090.7859865133625820.392993256681291
630.5811042139690020.8377915720619960.418895786030998
640.6377584413769350.7244831172461290.362241558623065
650.7415822789151810.5168354421696380.258417721084819
660.8009061570229910.3981876859540190.19909384297701
670.7991106514340410.4017786971319180.200889348565959
680.7734271900030780.4531456199938450.226572809996922
690.7607314704169090.4785370591661820.239268529583091
700.7424193202304840.5151613595390310.257580679769516
710.7131259728271060.5737480543457880.286874027172894
720.7260078095641750.5479843808716510.273992190435826
730.7090178525300840.5819642949398320.290982147469916
740.6749334333963150.6501331332073710.325066566603685
750.6638249105879260.6723501788241490.336175089412074
760.6769387386527730.6461225226944540.323061261347227
770.736583800447520.5268323991049590.26341619955248
780.7879880725512890.4240238548974230.212011927448711
790.7861793102778520.4276413794442950.213820689722147
800.7569577946414570.4860844107170870.243042205358543
810.7541313120944330.4917373758111350.245868687905567
820.7436496364654530.5127007270690940.256350363534547
830.7123085277788830.5753829444422340.287691472221117
840.7144259138483310.5711481723033370.285574086151669
850.7290811661010940.5418376677978110.270918833898906
860.7027573812626860.5944852374746280.297242618737314
870.6700345072890490.6599309854219020.329965492710951
880.6821600885497540.6356798229004910.317839911450246
890.7274042728888890.5451914542222210.272595727111111
900.7294543737612290.5410912524775410.27054562623877
910.7036587483540310.5926825032919380.296341251645969
920.6865927680005750.6268144639988510.313407231999425
930.7365387101877570.5269225796244860.263461289812243
940.7491634355104270.5016731289791460.250836564489573
950.7212765432260850.557446913547830.278723456773915
960.7413931836447480.5172136327105040.258606816355252
970.7416855261424940.5166289477150120.258314473857506
980.7174659004550680.5650681990898640.282534099544932
990.6961964534873930.6076070930252130.303803546512607
1000.7353344292256350.529331141548730.264665570774365
1010.8304655475033410.3390689049933170.169534452496659
1020.8858871177808610.2282257644382780.114112882219139
1030.900477291501870.1990454169962610.0995227084981304
1040.8875997319650530.2248005360698940.112400268034947
1050.8746198822394290.2507602355211420.125380117760571
1060.8558389052873870.2883221894252260.144161094712613
1070.844473523071970.311052953856060.15552647692803
1080.8813276061985690.2373447876028620.118672393801431
1090.8658293620871760.2683412758256480.134170637912824
1100.846760126280690.3064797474386190.15323987371931
1110.8373713554295480.3252572891409040.162628644570452
1120.8730094509202630.2539810981594730.126990549079737
1130.9068619291212510.1862761417574970.0931380708787487
1140.9264853472199840.1470293055600320.0735146527800159
1150.929781102531150.1404377949377010.0702188974688503
1160.9165683488103520.1668633023792960.0834316511896482
1170.9212805937511970.1574388124976060.078719406248803
1180.914041346071970.1719173078560610.0859586539280305
1190.8996395614536720.2007208770926560.100360438546328
1200.9050883580997420.1898232838005160.0949116419002581
1210.9012772267914790.1974455464170410.0987227732085205
1220.8905238988482850.218952202303430.109476101151715
1230.8732126985239520.2535746029520970.126787301476048
1240.8753281698509610.2493436602980780.124671830149039
1250.8762507578919830.2474984842160340.123749242108017
1260.8881558526682940.2236882946634110.111844147331706
1270.8724580495751950.2550839008496110.127541950424805
1280.8544507039176290.2910985921647420.145549296082371
1290.8523919116932090.2952161766135810.14760808830679
1300.8439949633032140.3120100733935720.156005036696786
1310.8218747750027690.3562504499944620.178125224997231
1320.8256346193842080.3487307612315850.174365380615792
1330.8354984618589550.3290030762820910.164501538141045
1340.8186273301299630.3627453397400730.181372669870037
1350.7955808512696530.4088382974606940.204419148730347
1360.7912278827330720.4175442345338560.208772117266928
1370.8103330771132160.3793338457735670.189666922886784
1380.8157257780181470.3685484439637070.184274221981853
1390.7927589063025320.4144821873949360.207241093697468
1400.7773081790166050.4453836419667910.222691820983396
1410.8019064661612250.396187067677550.198093533838775
1420.8093097474676640.3813805050646730.190690252532336
1430.7867150713822760.4265698572354470.213284928617724
1440.7761287592232030.4477424815535940.223871240776797
1450.7954800457198190.4090399085603620.204519954280181
1460.7873573615947040.4252852768105910.212642638405296
1470.7638626226424810.4722747547150380.236137377357519
1480.7485285817130950.502942836573810.251471418286905
1490.7597615325983690.4804769348032620.240238467401631
1500.7752682541258640.4494634917482710.224731745874136
1510.7546028360701210.4907943278597580.245397163929879
1520.7379898839933490.5240202320133020.262010116006651
1530.7481284788811060.5037430422377880.251871521118894
1540.7611362271822680.4777275456354630.238863772817731
1550.7353451644262830.5293096711474350.264654835573717
1560.7388050391204540.5223899217590920.261194960879546
1570.7484585004780720.5030829990438560.251541499521928
1580.7330857765261470.5338284469477060.266914223473853
1590.7073623711332940.5852752577334120.292637628866706
1600.7107214085277040.5785571829445920.289278591472296
1610.7633496903553720.4733006192892560.236650309644628
1620.8081887007759320.3836225984481350.191811299224068
1630.8021604260128580.3956791479742830.197839573987142
1640.7795237161356990.4409525677286010.220476283864301
1650.7777882941827210.4444234116345580.222211705817279
1660.7722310559952310.4555378880095380.227768944004769
1670.745874495133710.508251009732580.25412550486629
1680.7555322368580490.4889355262839020.244467763141951
1690.7633886453131090.4732227093737830.236611354686891
1700.7437641961100080.5124716077799840.256235803889992
1710.7173005300002830.5653989399994350.282699469999717
1720.7444467816601960.5111064366796080.255553218339804
1730.796220006504470.4075599869910610.20377999349553
1740.8137783031234650.3724433937530710.186221696876535
1750.7864808593441510.4270382813116970.213519140655849
1760.7640811459682930.4718377080634130.235918854031707
1770.808003053202950.3839938935940990.19199694679705
1780.8289635147316870.3420729705366270.171036485268313
1790.8058531244867350.3882937510265310.194146875513265
1800.7938830584497320.4122338831005360.206116941550268
1810.8353499613599870.3293000772800260.164650038640013
1820.8273677786420530.3452644427158940.172632221357947
1830.8034964451132970.3930071097734070.196503554886703
1840.8088022556526380.3823954886947240.191197744347362
1850.836728637220970.3265427255580590.16327136277903
1860.8637750376038110.2724499247923780.136224962396189
1870.8523923128095180.2952153743809640.147607687190482
1880.8279034358437970.3441931283124060.172096564156203
1890.8471789576678770.3056420846642460.152821042332123
1900.8545038647637990.2909922704724030.145496135236201
1910.8314058019515350.337188396096930.168594198048465
1920.8303557897174690.3392884205650620.169644210282531
1930.8356980236661170.3286039526677660.164301976333883
1940.8159540780460460.3680918439079070.184045921953954
1950.7865763444412430.4268473111175140.213423655558757
1960.8074463253644970.3851073492710060.192553674635503
1970.8624281604893850.275143679021230.137571839510615
1980.8870104631981120.2259790736037770.112989536801888
1990.8686104371002630.2627791257994740.131389562899737
2000.8436577155373950.3126845689252090.156342284462605
2010.8563404456587330.2873191086825340.143659554341267
2020.8595959670304580.2808080659390840.140404032969542
2030.8340928323886060.3318143352227880.165907167611394
2040.8224140745743270.3551718508513450.177585925425673
2050.847085716994340.3058285660113190.15291428300566
2060.8361834633377870.3276330733244260.163816536662213
2070.8059034478364690.3881931043270630.194096552163532
2080.8083554041888770.3832891916222450.191644595811123
2090.8446104672019780.3107790655960440.155389532798022
2100.8778197064503620.2443605870992770.122180293549638
2110.8655295477875590.2689409044248820.134470452212441
2120.8385640812939110.3228718374121770.161435918706089
2130.8506280235266880.2987439529466250.149371976473312
2140.8549747765035240.2900504469929520.145025223496476
2150.8204695682292770.3590608635414450.179530431770723
2160.8013034357999360.3973931284001280.198696564200064
2170.7979989848108330.4040020303783350.202001015189167
2180.7816086271387660.4367827457224680.218391372861234
2190.7510924842442280.4978150315115440.248907515755772
2200.6951570335000060.6096859329999870.304842966499993
2210.7361908898080660.5276182203838680.263809110191934
2220.7881565165022870.4236869669954250.211843483497713
2230.7755620317364740.4488759365270510.224437968263526
2240.7094376708243890.5811246583512220.290562329175611
2250.6794744266848540.6410511466302930.320525573315146
2260.6805038284922390.6389923430155220.319496171507761
2270.6314688473496590.7370623053006820.368531152650341
2280.5404832683767580.9190334632464830.459516731623242
2290.5945455694835230.8109088610329540.405454430516477
2300.6543751690156350.691249661968730.345624830984365
2310.5808892711153630.8382214577692750.419110728884637
2320.4545173192022710.9090346384045420.545482680797729
2330.4102705931571170.8205411863142340.589729406842883
2340.4858320318198630.9716640636397260.514167968180137


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK