Refer to Exercise 11.23 and the study of whether birth decade can predict the number of software millionaires born in the decade.

a. Construct a 95% confidence interval for the slope of the model, E(y) = β0 + β1x, where x = total number of U.S. births and y = number of software millionaire birthdays. Give a practical interpretation of the interval.

b. Construct a 95% confidence interval for the slope of the model, E(y) = β0 + β1x, where x = number of CEO birthdays (in a sample of 70 companies) and y = number of software millionaire birthdays. Give a practical interpretation of the interval.

c. Can you conclude that number of software millionaires born in a decade is linearly related to total number of people born in the United States? Number of CEOs born in the decade?