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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 SHAMAN
 Statistics, Regression Analysis, insurance company, class sizes

Click to edit the document details