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 (c) Is the procedure in part (b) an example of interpolation or extrapolation? interpolation extrapolation
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 (c) Is the procedure in part (b) an example of interpolation or extrapolation? interpolation extrapolation
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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Question
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
(c)
Is the procedure in part (b) an example of interpolation or extrapolation?
interpolation extrapolation
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