Given the values in Table 7.17 for the independent variable x and dependent variable y: (a) Perform the linear regression of y on x. Test H 0 : β 1 = 0. (b) Note that half of the observations have x =...

Given the values in Table 7.17 for the independent variable x and dependent variable y:

(a) Perform the linear regression of y on x. Test H₀: β₁
= 0.

(b) Note that half of the observations have x = = 1 and the rest have x = 1. Does this suggest an alternate analysis? If so, perform such an analysis and compare results with those of part (a).