A multiple regression results in the fitted equation where x 1 represents participants’ gender (0 if boy, 1 if girl), and x 2 ranges from 0 to 5. (a) Plot the fitted regression line for y versus x2...

A multiple regression results in the fitted equation

where x₁
represents participants’ gender (0 if boy, 1 if girl), and x₂
ranges from 0 to 5.

(a) Plot the fitted regression line for y versus x2 for boys and for girls.

(b) In simple language, how would you describe the differences between boys and girls having the same value of x₂?

(c) In terms of the true regression coefficients (the β_i), how would you represent the difference between a girl and a boy both having x₂
= 3?

(d) What would a reasonable point estimate be for the quantity in part (c)?