Repeat the exercise in the preceding problem but let Y and X denote the male and female

Question:

Repeat the exercise in the preceding problem but let Y and X denote the male and female critical reading scores, respectively.

Repeat exercise

Refer to the SAT data given in Exercise 2.16.

In exercise

The following table gives data on mean Scholastic Aptitude Test (SAT) scores for collegebound seniors for 1972€“2007. These data represent the critical reading and mathematics test scores for both male and female students. The writing category was introduced in 2006. Therefore, these data are not included.

Critical Reading Mathematics Male Year Male Female Total Female Total 1972 531 529 530 523 527 489 509 1973 523 521 525

Suppose you want to predict the male
math (Y ) scores on the basis of the female math scores (X) by running the following
regression:
Y_t = Î²₁ + Î²₂X_t + u_t
a. Estimate the preceding model.
b. From the estimated residuals, find out if the normality assumption can be sustained.
c. Now test the hypothesis that Î²₂ = 1, that is, there is a one-to-one correspondence between male and female math scores.
d. Set up the ANOVA table for this problem.