The figure for this exercise is a scatterplot of y = average math SAT score in 1998 versus x = percent of graduating seniors who took the test that year for the 50 states and the District of Columbia. The data are from the sats98 dataset on the companion website.

a. Does the plot show a positive association, a negative association, or no association between the two variables? Explain.

b. Explain whether you think the pattern of the plot is linear or curvilinear.

c. About what was the highest average math SAT for the 50 states and District of Columbia? Approximately, what percent of graduates took the test in that state?

d. About what was the lowest average math SAT for the 50 states and District of Columbia? Approximately what percent of graduates took the test in that state?