Power Law Models

	A	B	C	D	E	F	G	H	I	J	K	L	N
1			power	intercept		std
2			1.584962501	-1		1.350496356
3		R2	95.42%
4
5	base model
6										log
7		year	price	log (price)	time years	log(years)	model log	model price		deviation
8		2010	0	-1.000	1	0.000	-1.000	0		0.000
9		2011	0	-0.523	2	0.301	-0.523	0		0.000
10		2012	5	0.699	3	0.477	-0.244	1		0.943
11		2013	13	1.114	4	0.602	-0.046	1		1.160
12		2014	754	2.877	5	0.699	0.108	1		2.770		588.21
13		2015	320	2.505	6	0.778	0.233	2		2.272
14		2016	430	2.633	7	0.845	0.339	2		2.294
15		2017	963	2.984	8	0.903	0.431	3		2.552
16		2018	14,112	4.150	9	0.954	0.512	3		3.637		4336.61
17		2019	3,743	3.573	10	1.000	0.585	4		2.988
18		2020	7,212	3.858	11	1.041	0.651	4		3.207
19		2021	29,370	4.468	12	1.079	0.710	5		3.757
20		2022	47,456	4.676	13	1.114	0.766	6		3.911		8142.03
21		2023	16,625	4.221	14	1.146	0.817	7		3.404
22		2024	43,538	4.639	15	1.176	0.864	7		3.775
23		2025	94,419	4.975	16	1.204	0.908	8		4.067
24
25		2026			17	1.230	0.950	9
26		2030			21	1.322	1.096	12
27		2035			26	1.415	1.243	17
28		2045			36	1.556	1.467	29
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30
31	constant dollar model
32
33		inflation assumption		7.00%
34
35			power	intercept		std
36			5.215752491	-1.547348201		0.4000096656
37		R2	94.71%
38											constant USD	nominal	log
39			price	inflation	deflator	deflated price	log (price)	time years	log(years)	model log	model price	price	deviation
40		2010	0	1.6	1	0	-1.000	1	0.000	-1.547	0	0	0.547
41		2011	0	3.2	1.03	0	-0.537	2	0.301	0.023	1	1	-0.559
42		2012	5	2.1	1.05	5	0.676	3	0.477	0.941	9	9	-0.265
43		2013	13	1.5	1.07	12	1.085	4	0.602	1.593	39	42	-0.508
44		2014	754	1.6	1.09	694	2.841	5	0.699	2.098	125	136	0.743
45		2015	320	0.1	1.09	294	2.469	6	0.778	2.511	325	353	-0.043
46		2016	430	1.3	1.10	390	2.591	7	0.845	2.860	725	799	-0.269
47		2017	963	2.1	1.12	856	2.932	8	0.903	3.163	1,455	1,637	-0.230
48		2018	14,112	2.4	1.15	12,251	4.088	9	0.954	3.430	2,690	3,099	0.658
49		2019	3,743	1.8	1.17	3,192	3.504	10	1.000	3.668	4,660	5,465	-0.164
50		2020	7,212	1.2	1.19	6,077	3.784	11	1.041	3.884	7,661	9,092	-0.101
51		2021	29,370	4.7	1.24	23,637	4.374	12	1.079	4.081	12,061	14,987	0.292
52		2022	47,456	8	1.34	35,364	4.549	13	1.114	4.263	18,311	24,572	0.286
53		2023	16,625	4.1	1.40	11,901	4.076	14	1.146	4.431	26,951	37,649	-0.355
54		2024	43,538	2.7	1.43	30,347	4.482	15	1.176	4.587	38,624	55,412	-0.105
55		2025	94,419	3	1.48	63,895	4.805	16	1.204	4.733	54,081	79,916	0.072
56
57		2026			1.581			17	1.230	4.870	74,194	117,312
58		2030			2.073			21	1.322	5.349	223,368	462,946
59		2035			1.967			26	1.415	5.833	680,460	1,338,568
60		2045			3.870			36	1.556	6.570	3,714,843	14,375,270
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