For Exercises 47–54, do the following for the indicated data:

  1. Calculate the margin of error for a 95% confidence interval for .
  2. Construct a 95% confidence interval for .
  3. Interpret the confidence interval.

Question 13.53

53. Gardasil Shots and Age. Data from Exercise 45

13.1.53

(a) 0.19824 shot (b) (–0.1826, 0.21388) (c) We are 95% confident that the interval (–0.1826, 0.21388) captures the slope of the population regression line. That is, we are 95% confident that for each additional year in a patient's age, the change in the number of shots taken by the patient lies between −0.1826 shot and 0.21388 shot.