Using Duncan’s regression of occupational prestige on income and education, and performing the necessary calculations, verify that the omnibus null hypothesis H 0 : β 1   β 2 = 0 can be tested as a...

Using Duncan’s regression of occupational prestige on income and education, and performing the necessary calculations, verify that the omnibus null hypothesis H₀: β₁  β₂
= 0 can be tested as a general linear hypothesis, using the hypothesis matrix

and right-hand-side vector c=[0; 0] 0 . Then verify that the H0: β1 ¼ β2 can be tested using L = [0; 1; (1%]and c = [0]. (Cf. Exercise 6.7.)