A98 Predicting Pencent of College Graduales Using High School Graduation Rates E

Question

A98 Predicting Pencent of College Graduales Using High School Graduation Rates Exercise A.42 on page 176 uses 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 in Figure A.25. (a) The formula for the regression line is College- -532 +0.94- HighSchool. Interpret the slope of the line in context. 50-T 45 40 35 30 25 20 85.0 87.5 90.0 92.5 95.0 High School Figure A.25 Predicting percent to graduate college using percent to graduate high school (b) What is the predicted percent to graduate col- lege if 85% graduate high school? What is it if 90% graduate high school? (c) Massachusetts appears to have a particularly large positive residual, Massachusetts has 92.4% graduating high school and 48.3% graduat- colleze Coimpute ths residual for Mas

Explanation / Answer

a) FOr 85% - Y=0.94*85-53.2=26.7

For 90% , Y=0.94*90-53.2=31.4

c) Predicted Y=0.94*92.4-53.2=33.656

Residual = 48.3-33.656=14.644

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