The average remaining lifetimes for women of various ages in a certain country are given in the following table. (A graphing calculator is recommended.) Average Remaining Lifetimes for Women Age (x) Years (y) 79.7 15 65.4 35 47.1 65 19.9 75 12.4 (a) Find the equation of the least-squares line for the data. (Round all numerical values to two decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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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.)
Average Remaining
Lifetimes for Women
Age (x)
Years (y)
79.7
15
65.4
35
47.1
65
19.9
75
12.4
(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 of a woman of age 23. (Round your answer to the
nearest year.)
yr
II
Transcribed Image Text:The average remaining lifetimes for women of various ages in a certain country are given in the following table. (A graphing calculator is recommended.) Average Remaining Lifetimes for Women Age (x) Years (y) 79.7 15 65.4 35 47.1 65 19.9 75 12.4 (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 of a woman of age 23. (Round your answer to the nearest year.) yr II
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