The percentages of female high-school graduates who enrolled in college are given in the third column of Table 1.
(A) Let x represent time (in years) since 1970, and let y represent the corresponding percentage of female high-school graduates who enrolled in college. Enter the data in a graphing calculator and find a cubic regression equation for the data.
(B) If y = F(x) denotes the regression equation found in part A, find F(46) and F'(46) (to the nearest tenth), and write a brief verbal interpretation of these results.