Exercise A.16 on page 145 used data in the USStates dataset to examine the percent of adults to graduate college in US states by region. The dataset also includes information on the percent to graduate high school in each state. We use the percent to graduate high school to predict the percent to graduate college. A scatterplot with regression line for all 50 states is shown inFigure A.15.

(a) The formula for the regression line is

Interpret the slope of the line in context.

(b) What is the predicted percent to graduate college if 80% graduate high school? What is it if 90% graduate high school?

(c) Massachusetts appears to have a particularly large positive residual. Massachusetts has 86.9% graduating high school and 43.2% graduating college. Compute the residual for Massachusetts.

Exercise A.16

The dataset US States includes information on the percent of the population to graduate from college (of those age 25 and older) for each US state. Figure A.7 shows side-by-side boxplots for percent of college graduates by region of the country (Midwest, Northeast, South, and West.)

Figure A.7

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45 40 - 35- 30 - 25 - 20 40,000 50,000 30,000 60,000 70,000 Household Income College |College = –25.4+0.654 · HighSchool.