Multiple Linear Regression - Estimated Regression Equation

CO2[t] = + 367.427106382979 + 1.05024951644099M1[t] + 1.65296324951644M2[t] + 2.39113152804641M3[t] + 3.54293617021276M4[t] + 3.83019535783365M5[t] + 3.12018181818181M6[t] + 1.24471373307543M7[t] -0.898027079303687M8[t] -2.4389497098646M9[t] -2.50441779497098M10[t] -1.27624951644101M11[t] + 0.170013539651838t + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	367.427106382979	0.127578	2880.0144	0	0
M1	1.05024951644099	0.158737	6.6163	0	0
M2	1.65296324951644	0.158717	10.4146	0	0
M3	2.39113152804641	0.158701	15.0669	0	0
M4	3.54293617021276	0.15869	22.3262	0	0
M5	3.83019535783365	0.158683	24.1374	0	0
M6	3.12018181818181	0.158681	19.6632	0	0
M7	1.24471373307543	0.158683	7.844	0	0
M8	-0.898027079303687	0.15869	-5.659	0	0
M9	-2.4389497098646	0.158701	-15.3682	0	0
M10	-2.50441779497098	0.158717	-15.7792	0	0
M11	-1.27624951644101	0.158737	-8.04	0	0
t	0.170013539651838	0.000842	201.9615	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.998664377754117
R-squared	0.997330539395017
Adjusted R-squared	0.997059068825018
F-TEST (value)	3673.80721748672
F-TEST (DF numerator)	12
F-TEST (DF denominator)	118
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.363171257976272
Sum Squared Residuals	15.5634167891681

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	369.07	368.647369439072	0.422630560928244
2	369.32	369.420096711799	-0.100096711798845
3	370.38	370.328278529981	0.0517214700193452
4	371.63	371.650096711799	-0.0200967117988335
5	371.32	372.107369439072	-0.787369439071565
6	371.51	371.567369439072	-0.0573694390715636
7	369.69	369.861914893617	-0.171914893617023
8	368.18	367.88918762089	0.290812379110267
9	366.87	366.518278529981	0.351721470019339
10	366.94	366.622823984526	0.317176015473881
11	368.27	368.021005802708	0.248994197292052
12	369.62	369.467268858801	0.152731141199232
13	370.47	370.687531914894	-0.217531914893566
14	371.44	371.460259187621	-0.0202591876208873
15	372.39	372.368441005803	0.0215589941972881
16	373.32	373.690259187621	-0.370259187620888
17	373.77	374.147531914894	-0.377531914893624
18	373.13	373.607531914894	-0.477531914893612
19	371.51	371.902077369439	-0.392077369439079
20	369.59	369.929350096712	-0.339350096711813
21	368.12	368.558441005803	-0.438441005802709
22	368.38	368.662986460348	-0.282986460348171
23	369.64	370.06116827853	-0.421168278529992
24	371.11	371.507431334623	-0.39743133462281
25	372.38	372.727694390716	-0.347694390715658
26	373.08	373.500421663443	-0.420421663442952
27	373.87	374.408603481625	-0.538603481624744
28	374.93	375.730421663443	-0.800421663442927
29	375.58	376.187694390716	-0.607694390715676
30	375.44	375.647694390716	-0.207694390715662
31	373.91	373.942239845261	-0.0322398452610926
32	371.77	371.969512572534	-0.199512572533855
33	370.72	370.598603481625	0.121396518375263
34	370.5	370.70314893617	-0.203148936170218
35	372.19	372.101330754352	0.0886692456479683
36	373.71	373.547593810445	0.162406189555105
37	374.92	374.767856866538	0.152143133462315
38	375.63	375.540584139265	0.0894158607350082
39	376.51	376.448765957447	0.061234042553187
40	377.75	377.770584139265	-0.0205841392649873
41	378.54	378.227856866538	0.312143133462309
42	378.21	377.687856866538	0.52214313346227
43	376.65	375.982402321083	0.667597678916806
44	374.28	374.009675048356	0.270324951644085
45	373.12	372.638765957447	0.48123404255319
46	373.1	372.743311411992	0.356688588007755
47	374.67	374.141493230174	0.528506769825935
48	375.97	375.587756286267	0.382243713733101
49	377.03	376.80801934236	0.221980657640218
50	377.87	377.580746615087	0.289253384912965
51	378.88	378.488928433269	0.391071566731142
52	380.42	379.810746615087	0.609253384912979
53	380.62	380.26801934236	0.351980657640243
54	379.66	379.72801934236	-0.0680193423597359
55	377.48	378.022564796905	-0.542564796905203
56	376.07	376.049837524178	0.0201624758220538
57	374.1	374.678928433269	-0.578928433268843
58	374.47	374.783473887814	-0.313473887814291
59	376.15	376.181655705996	-0.0316557059961545
60	377.51	377.627918762089	-0.117918762088986
61	378.43	378.848181818182	-0.418181818181799
62	379.7	379.620909090909	0.079090909090898
63	380.91	380.529090909091	0.380909090909121
64	382.2	381.850909090909	0.349090909090901
65	382.45	382.308181818182	0.141818181818177
66	382.14	381.768181818182	0.371818181818175
67	380.6	380.062727272727	0.537272727272752
68	378.6	378.09	0.510000000000033
69	376.72	376.719090909091	0.00090909090911026
70	376.98	376.823636363636	0.156363636363649
71	378.29	378.221818181818	0.068181818181839
72	380.07	379.668081237911	0.401918762088967
73	381.36	380.888344294004	0.471655705996158
74	382.19	381.661071566731	0.528928433268856
75	382.65	382.569253384913	0.080746615087023
76	384.65	383.891071566731	0.75892843326884
77	384.94	384.348344294004	0.591655705996134
78	384.01	383.808344294004	0.201655705996129
79	382.15	382.102889748549	0.0471102514506543
80	380.33	380.130162475822	0.199837524177944
81	378.81	378.759253384913	0.0507466150870355
82	379.06	378.863798839458	0.196201160541583
83	380.17	380.26198065764	-0.0919806576402158
84	381.85	381.708243713733	0.141756286266945
85	382.88	382.928506769826	-0.0485067698259112
86	383.77	383.701234042553	0.0687659574467913
87	384.42	384.609415860735	-0.189415860734989
88	386.36	385.931234042553	0.428765957446824
89	386.53	386.388506769826	0.141493230174058
90	386.01	385.848506769826	0.161493230174076
91	384.45	384.143052224371	0.306947775628617
92	381.96	382.170324951644	-0.210324951644114
93	380.81	380.799415860735	0.0105841392649853
94	381.09	380.90396131528	0.186038684719503
95	382.37	382.302143133462	0.0678568665377227
96	383.84	383.748406189555	0.0915938104448468
97	385.42	384.968669245648	0.451330754352059
98	385.72	385.741396518375	-0.0213965183752151
99	385.96	386.649578336557	-0.689578336557079
100	387.18	387.971396518375	-0.791396518375234
101	388.5	388.428669245648	0.0713307543520358
102	387.88	387.888669245648	-0.00866924564797096
103	386.38	386.183214700193	0.196785299806569
104	384.15	384.210487427466	-0.0604874274661653
105	383.07	382.839578336557	0.230421663442924
106	382.98	382.944123791103	0.0358762088974973
107	384.11	384.342305609284	-0.232305609284319
108	385.54	385.788568665377	-0.24856866537716
109	386.92	387.00883172147	-0.0888317214699909
110	387.41	387.781558994197	-0.371558994197267
111	388.77	388.689740812379	0.0802591876208751
112	389.46	390.011558994197	-0.551558994197313
113	390.18	390.46883172147	-0.288831721470008
114	389.43	389.92883172147	-0.498831721470008
115	387.74	388.223377176016	-0.483377176015467
116	385.91	386.250649903288	-0.340649903288165
117	384.77	384.879740812379	-0.109740812379135
118	384.38	384.984286266925	-0.604286266924573
119	385.99	386.382468085106	-0.392468085106373
120	387.26	387.828731141199	-0.568731141199241
121	388.45	389.048994197292	-0.598994197292069
122	389.7	389.821721470019	-0.121721470019353
123	391.08	390.729903288201	0.35009671179883
124	392.46	392.051721470019	0.408278529980639
125	392.96	392.508994197292	0.451005802707916
126	392.03	391.968994197292	0.0610058027079039
127	390.13	390.263539651838	-0.133539651837534
128	388.15	388.29081237911	-0.14081237911027
129	386.8	386.919903288201	-0.11990328820116
130	387.18	387.024448742747	0.155551257253384
131	388.59	388.422630560928	0.167369439071538

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.237037644946359	0.474075289892719	0.762962355053641
17	0.334258434222716	0.668516868445432	0.665741565777284
18	0.256872553760173	0.513745107520345	0.743127446239827
19	0.161723804310477	0.323447608620955	0.838276195689522
20	0.161362471009203	0.322724942018407	0.838637528990797
21	0.196863668458631	0.393727336917263	0.803136331541369
22	0.157125037012886	0.314250074025771	0.842874962987114
23	0.135986034389516	0.271972068779032	0.864013965610484
24	0.100891446590199	0.201782893180399	0.899108553409801
25	0.0690971174636897	0.138194234927379	0.93090288253631
26	0.0514752720653071	0.102950544130614	0.948524727934693
27	0.0377627072271984	0.0755254144543969	0.962237292772802
28	0.0369253756120183	0.0738507512240365	0.963074624387982
29	0.0778559123866488	0.155711824773298	0.922144087613351
30	0.11964864984588	0.23929729969176	0.88035135015412
31	0.211442112645792	0.422884225291584	0.788557887354208
32	0.183718578608745	0.367437157217489	0.816281421391255
33	0.211995162594325	0.423990325188649	0.788004837405675
34	0.180348634153051	0.360697268306103	0.819651365846949
35	0.198189832329646	0.396379664659291	0.801810167670354
36	0.235568634290981	0.471137268581961	0.764431365709019
37	0.26230698945724	0.52461397891448	0.73769301054276
38	0.295971186554314	0.591942373108627	0.704028813445686
39	0.298958117459042	0.597916234918084	0.701041882540958
40	0.354187805788128	0.708375611576256	0.645812194211872
41	0.606068531233458	0.787862937533084	0.393931468766542
42	0.711658082767458	0.576683834465084	0.288341917232542
43	0.813830141036929	0.372339717926142	0.186169858963071
44	0.783533199706995	0.43293360058601	0.216466800293005
45	0.772743619474697	0.454512761050607	0.227256380525303
46	0.743958237000696	0.512083525998608	0.256041762999304
47	0.743997475508549	0.512005048982903	0.256002524491451
48	0.714309808541172	0.571380382917656	0.285690191458828
49	0.663519047344191	0.672961905311617	0.336480952655809
50	0.617799672299019	0.764400655401962	0.382200327700981
51	0.584104784815954	0.831790430368093	0.415895215184046
52	0.63984018871043	0.720319622579139	0.36015981128957
53	0.622901933722641	0.754196132554719	0.377098066277359
54	0.600723445273338	0.798553109453323	0.399276554726662
55	0.77062760195424	0.458744796091519	0.22937239804576
56	0.738685528041194	0.522628943917613	0.261314471958806
57	0.885113848146875	0.22977230370625	0.114886151853125
58	0.913291172793162	0.173417654413677	0.0867088272068385
59	0.901559070930721	0.196881858138558	0.0984409290692788
60	0.89514654499653	0.20970691000694	0.10485345500347
61	0.939284671537914	0.121430656924172	0.0607153284620861
62	0.924753309338311	0.150493381323378	0.0752466906616892
63	0.909682715165267	0.180634569669467	0.0903172848347334
64	0.89286768533984	0.214264629320321	0.10713231466016
65	0.882077733623928	0.235844532752144	0.117922266376072
66	0.859236526017873	0.281526947964253	0.140763473982127
67	0.853640367550686	0.292719264898628	0.146359632449314
68	0.844407128112266	0.311185743775468	0.155592871887734
69	0.825080037146688	0.349839925706624	0.174919962853312
70	0.789330907564704	0.421338184870591	0.210669092435296
71	0.755254663390741	0.489490673218519	0.244745336609259
72	0.729954329111531	0.540091341776938	0.270045670888469
73	0.710057431885372	0.579885136229256	0.289942568114628
74	0.708487100697178	0.583025798605644	0.291512899302822
75	0.665766988792805	0.66846602241439	0.334233011207195
76	0.754370516542319	0.491258966915362	0.245629483457681
77	0.756961203028476	0.486077593943049	0.243038796971524
78	0.714385074486058	0.571229851027883	0.285614925513942
79	0.672221173538566	0.655557652922869	0.327778826461434
80	0.636776337245386	0.726447325509228	0.363223662754614
81	0.588436088106951	0.823127823786098	0.411563911893049
82	0.535030742294338	0.929938515411324	0.464969257705662
83	0.505226606474402	0.989546787051195	0.494773393525598
84	0.470231475695396	0.940462951390793	0.529768524304604
85	0.42944315584002	0.858886311680039	0.57055684415998
86	0.384257225242577	0.768514450485155	0.615742774757422
87	0.366505460556862	0.733010921113724	0.633494539443138
88	0.41249582677505	0.824991653550101	0.58750417322495
89	0.353884529058183	0.707769058116365	0.646115470941817
90	0.314409137844111	0.628818275688223	0.685590862155889
91	0.300376606895565	0.60075321379113	0.699623393104435
92	0.277266761087834	0.554533522175668	0.722733238912166
93	0.229931853067352	0.459863706134704	0.770068146932648
94	0.203580926405108	0.407161852810217	0.796419073594892
95	0.174283664034545	0.348567328069089	0.825716335965455
96	0.183663839923406	0.367327679846811	0.816336160076594
97	0.3017508688245	0.603501737649	0.6982491311755
98	0.286306291020845	0.572612582041691	0.713693708979155
99	0.471838778370893	0.943677556741787	0.528161221629107
100	0.63595917599586	0.728081648008281	0.36404082400414
101	0.563054068836813	0.873891862326374	0.436945931163187
102	0.515878090854995	0.96824381829001	0.484121909145005
103	0.577100890848231	0.845798218303538	0.422899109151769
104	0.550459793795155	0.899080412409691	0.449540206204845
105	0.610107693718219	0.779784612563562	0.389892306281781
106	0.688803999774435	0.62239200045113	0.311196000225565
107	0.661265423953013	0.677469152093973	0.338734576046987
108	0.746925840280617	0.506148319438767	0.253074159719383
109	0.948652834568084	0.102694330863832	0.051347165431916
110	0.928067056127089	0.143865887745823	0.0719329438729113
111	0.894071120781925	0.211857758436149	0.105928879218075
112	0.925193658230819	0.149612683538363	0.0748063417691813
113	0.90712041533767	0.18575916932466	0.0928795846623302
114	0.843334222379773	0.313331555240455	0.156665777620227
115	0.711312725657886	0.577374548684227	0.288687274342114

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	0	0	OK
10% type I error level	2	0.02	OK