Using the data provided in Table 1.3 , find the linear model that minimises the squared loss.

Data from Table 1.3

TABLE 1.3 Olympic women's 100 m data. n xn 1 1928 tn Intn 12.20 23521.6 3.7172106 x 2 1932 11.90 22990.8 3.7326106 3 1936 11.50 22264.0 3.7481x106 4 1948 11.90 23181.2 3.7947106 5 1952 11.50 22448.0 3.8103106 6 1956 11.50 22494.0 3.8259106 7 1960 11.00 21560.0 3.8416106 8 1964 9 1968 10 1972 11.40 22389.6 3.8573106 11.00 21648.0 3.8730106 11.07 21830.0 3.8888106 11 1976 11.08 21894.1 3.9046106 12 1980 13 1984 14 1988 15 1992 16 1996 17 2000 11.06 21898.8 3.9204106 10.97 21764.5 3.9363106 10.54 20953.5 3.9521x106 10.82 21553.4 3.9681x106 10.94 21836.2 3.9840106 11.12 22240.0 4.0000x106 18 2004 10.93 21903.7 4.0160x106 19 2008 10.78 21646.2 4.0321106 (1/) 1970.74 11.22 22106.2 3.8844106