3.3 The figure for this exercise is a scatterplot of y 5 average math SAT score in 1998 versus x 5 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.

600 575 550 525 500 475 Average math SAT Percent taking test 10 20 30 40 50 60 70 80 90

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?