For Exercises 37–51, do the following for the indicated data sets from the Section 4.1 exercises:

  1. Calculate the slope and the intercept of the regression line.
  2. State the regression equation in words.
  3. Interpret the value for the slope of the regression line, in terms of the variables from the particular exercise.
  4. Interpret the value for the intercept of the regression line, in terms of the variables from the particular exercise.

Question 4.143

collegecompleters

45. Completing College. The twenty-first century economy not only needs students to attend college; it needs students to complete their college degrees, in order to compete in the information age. The table contains a sample of 10 states, with data on the percentage of residents who have attended college and the percentage of college attendees who have completed their college degrees .

State
California 30.9 38.8
Florida 26.6 35.5
Georgia 30.1 34.1
Illinois 35.7 39.1
Massachusetts 45.2 45.9
New York 38.7 42.8
North Carolina 30.1 35.5
Ohio 28.4 37.1
Pennsylvania 32.5 40.2
Texas 26.2 32.2
Table 4.58: Source: American Community Survey.

4.2.45

(a) (b) The predicted percentage of college students in a state who have completed their college degrees is 0.46 times the percentage of people who have attended college plus 17.26%. (c) For each increase of 1% in the percent of people in a state who have attended college the predicted percentage of college students who have completed their degree increases by 0.64%. (d) The predicted percent of college students who will complete their degree in a state with % of its residents attending college is 17.26%