An engineer found that by including small amounts of a compound in rechargeable batteries for portable computers, she could extend their lifetimes. She experimented with different amounts of the additive and the data are Amount of additive Life (hours) 2 1 4 2 3 3 7 4 9. a) Obtain the least squares fit of a straight line to the amount of additive. b) Test whether or not the slope B=0. Take a = 0.10 as your level of significance.

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 34EQ
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Problem #1
An engineer found that by including small amounts of a compound in rechargeable batteries for
portable computers, she could extend their lifetimes. She experimented with different amounts of
the additive and the data are
Amount of additive
Life (hours)
2
1
4
3
3
7
4
9.
a) Obtain the least squares fit of a straight line to the amount of additive.
b) Test whether or not the slope B=0. Take a = 0.10 as your level of significance.
Transcribed Image Text:Problem #1 An engineer found that by including small amounts of a compound in rechargeable batteries for portable computers, she could extend their lifetimes. She experimented with different amounts of the additive and the data are Amount of additive Life (hours) 2 1 4 3 3 7 4 9. a) Obtain the least squares fit of a straight line to the amount of additive. b) Test whether or not the slope B=0. Take a = 0.10 as your level of significance.
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