The average remaining lifetimes for women of various ages in a certain country are given in the following table.† (A graphing calculator is recommended.) Age (x) Years (y) 0 80.6 15 65.5 35 46.6 65 20.2 75 11.7 Average Remaining Lifetimes for Women (a)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The average remaining lifetimes for women of various ages in a certain country are given in the following table.† (A graphing calculator is recommended.)
Age (x) Years (y)
0 80.6
15 65.5
35 46.6
65 20.2
75 11.7

Average Remaining Lifetimes for Women

(a)
Find the equation of the least-squares line for the data. (Round all numerical values to two decimal places.)
ŷ =
 
 
(b)
Use the equation from part (a) to estimate the remaining lifetime (in years) of a woman of age 28. (Round your answer to the nearest year.)
yr
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