4. A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (r years) 20 40 60 Maximum heart rate 170 153 136 (v beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or 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
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4. Correlation and linear regression
4. A Zumba instructor remembers the data given in the following table, which shows the recommended
maximum exercise heart rates for individuals of the given ages.
Age (x years)
20 40 60
Maximum heart rate 170 153 136
(y beats per minute)
cuce
a. Find the linear correlation coefficient for the data.
b. What is the significance of the value found in part a?
c. Find the equation of the least-squares line.
d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72.
e. Is the procedure in part d an example of interpolation or extrapolation?
Transcribed Image Text:4. A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) cuce a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?
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