An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate 169 153 137 (y beats per minute) (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) (b) What is the significance of the value found in part (a)? O The graph of the regression points passes through none of the data points. O The slope of the regression is about half of what the expected value is. O The linear correlation coefficient should always be positive. O The graph of the regression points passes through all three data points. O One of the data points is the y-intercept. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.) (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 68. (Round your answer to the nearest whole number.) beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? O extrapolation O interpolation Need Heln? Read It Watch It.
An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate 169 153 137 (y beats per minute) (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) (b) What is the significance of the value found in part (a)? O The graph of the regression points passes through none of the data points. O The slope of the regression is about half of what the expected value is. O The linear correlation coefficient should always be positive. O The graph of the regression points passes through all three data points. O One of the data points is the y-intercept. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.) (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 68. (Round your answer to the nearest whole number.) beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? O extrapolation O interpolation Need Heln? Read It Watch It.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the
given ages. (A graphing calculator is recommended.)
Age (x years)
20
40
60
Maximum heart rate
169
153
137
(y beats per minute)
(a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)
(b) What is the significance of the value found in part (a)?
O The graph of the regression points passes through none of the data points.
The slope of the regression is about half of what the expected value is.
The linear correlation coefficient should always be positive.
The graph of the regression points passes through all three data points.
One of the data points is the y-intercept.
(c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)
ŷ =
(d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 68. (Round your answer to the
nearest whole number.)
beats per minute
(e) Is the procedure in part (d) an example of interpolation or extrapolation?
O extrapolation
O interpolation
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