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OK, then show me. Here's 45 years of historical data. C and T are observed (I've added a little random measurement error). Make a model that explains T. Then we'll see how well it does against the underlying system that produced the data over the next 50 or 100 years.

Year	C	T	Year	C	T	Year	C	T
1956	100.00	20.86	1971	115.98	22.25	1986	134.84	24.06
1957	100.75	20.85	1972	117.11	22.41	1987	135.91	24.31
1958	101.99	20.81	1973	118.45	22.66	1988	137.93	24.40
1959	103.09	21.19	1974	120.03	22.54	1989	138.83	24.76
1960	104.17	21.16	1975	121.05	22.87	1990	140.36	24.70
1961	104.52	21.05	1976	122.19	22.67	1991	141.57	25.06
1962	106.31	21.35	1977	123.58	23.11	1992	142.91	24.98
1963	107.04	21.46	1978	124.35	23.05	1993	144.24	25.12
1964	108.02	21.69	1979	125.09	23.32	1994	145.48	25.38
1965	109.64	21.66	1980	126.82	23.60	1995	147.49	25.29
1966	110.57	21.70	1981	128.73	23.53	1996	148.62	25.55
1967	111.61	21.90	1982	129.15	23.80	1997	150.86	25.79
1968	112.54	21.92	1983	131.07	23.85	1998	151.85	25.95
1969	113.70	22.08	1984	132.01	23.93	1999	153.78	26.22
1970	114.87	22.36	1985	133.36	23.92	2000	155.17	26.03