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 13.51

51. Darts and the Dow Jones. Data from Exercise 43

13.1.51

(a) 1.5910 (b) (–0.1769, 3.0051) (c) We are 95% confident that the interval (–0.1769, 3.0051) captures the slope of the population regression line. That is, we are 95% confident that for each additional $1 the stocks in the DJIA gain in one day, the daily change in the stocks in the portfolio predicted by the darts lies between –$0.039 and $0.66248.