Chapter 12.1, Problem 2E

To determine

To explain are the conditions for performing inference about the slope $\beta$ of the population regression line met.

Answer to Problem 2E

The conditions are not met.

Explanation of Solution

In the question researchers examined data on the percent of high school graduates in each state who took the SAT and the state’s mean SAT math score in a recent year. The residual plot is given in the question for the least square regression line based on these data. Thus, as we know that there are five conditions for regression inference are: Linear, Independent, Normal, Equal variance, Random. Therefore, the Linear requirement has not been met, because the residual plot contains strong curvature and thus the scatterplot is not roughly linear.