Question: The data are reproduced shown below. Recall that simple linear regression was used to model number (y) of software millionaire birthdays in a decade as

The data are reproduced shown below. Recall that simple linear regression was used to model number (y) of software millionaire birthdays in a decade as a straight-line function of number (x) of CEO birthdays.
a. Consider a future decade where the number of CEO birthdays (in a random sample of 70 companies) is 25. Find a 95% prediction interval for the number of software millionaire birthdays in this decade. Interpret the result.
b. Consider another future decade where the number of CEO birthdays (in a random sample of 70 companies) is 10. Will the 95% prediction interval for the number of software millionaire birthdays in this decade be narrower or wider than the interval, part b? Explain.

For Information: Refer to Exercise 11.35 and the study of software millionaires and their birthdays.

Number of Software Millionaire Birthdays Number of CEO Birthdays (in a random sample of 70 companies from the Fortune 500 list) Decade Total U.S. Births (millions) 1920 1930 1940 1950 1960 1970 28.582 24.374 31.666 40.530 38.808 33.309 10 14 23 38 0

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