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homework4-2012

# homework4-2012 - STAT 102 Homework 4 Due Date Wednesday...

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STAT 102 Homework 4 2012 Due Date: Wednesday, March 28 before 5:00pm in 400 JMHH. 1 . Problem 4.8 (p. 169) from the textbook. But ignore part f of the question. [Also, do not use the output from the text book. You should produce JMP output and use that in your solution to this problem.] 2 . Life insurance companies are keenly interested in predicting how long their customers will live because their premiums and profitability depends on such numbers. An actuary for one insurance company gathered data from 100 recently deceased male customers. [This is a very small sample; a practical study would have had a much bigger sample.] She recorded the age at death of the customer (variable=longevity), the age at death of his mother(variable=mother), the age at death of his father (variable=father), the mean age at death of his grandmothers (variable=gmothers) and the mean age at death of his grandfathers (variable=gfathers). The data are stored in lifetimes.JMP. (a) Report the estimated multiple regression equation for the dependent variable longevity on the independent variables mother, father, gmothers and gfathers. (b) Find a 95% prediction interval for the longevity of an individual man whose mother lived to be 70, whose father lived to be 75, whose grandmothers average 80 years and whose grandfathers average 78 years. (Use JMP) (c) Find a 95% confidence interval for the average longevity of men whose mother lived to be 70, whose father lived to be 75, whose grandmothers average 80 years and whose grandfathers average 78 years. (Use JMP) (d) Test whether gmothers and/or gfathers are useful for predicting longevity once mother and father have been taken into account. (h) If the values of “mother” and “father” aren’t known, but the values of “gmothers” a nd “gfathers” are known, then would these values of “gmothers” and “gfathers” be useful for predicting longevity.? Explain. (Use

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