(a) Show that the numerator sum of squares for testing $H_0 : (_1 = 0)$ against the...

(a) Show that the numerator sum of squares for testing $H_0 : (β_1 = 0)$ against the alternative hypothesis $H_A : (β_1 ≠ 0)$ is the same as the sum of squares ssc that would be obtained for testing that the linear trend is zero in the analysis of variance model (the relevant calculations were done in Example 4.2.4, page 72).