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 (y beats per minute) 173 158 143 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) -1 (b) What is the significance of the value found in part (a)? O The slope of the regression is about half of what the expected value is. O The graph of the regression points passes through none of the data points. O The graph of the regression points passes through all three data points. O The linear correlation coefficient should always be positive. 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.) -0.85x + 187 (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 69. (Round your answer to the nearest whole number.) 128 x beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? O interpolation
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 (y beats per minute) 173 158 143 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) -1 (b) What is the significance of the value found in part (a)? O The slope of the regression is about half of what the expected value is. O The graph of the regression points passes through none of the data points. O The graph of the regression points passes through all three data points. O The linear correlation coefficient should always be positive. 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.) -0.85x + 187 (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 69. (Round your answer to the nearest whole number.) 128 x beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? O interpolation
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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.
![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
173
158
143
(y beats per minute)
(a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)
|-1
(b) What is the significance of the value found in part (a)?
O The slope of the regression is about half of what the expected value is.
O The graph of the regression points passes through none of the data points.
O The graph of the regression points passes through all three data points.
O The linear correlation coefficient should always be positive.
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.)
ý = -0.85x +187
(d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 69. (Round your answer to the nearest whole number.)
128
X beats per minute
(e) Is the procedure in part (d) an example of interpolation or extrapolation?
O extrapolation
O interpolation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F866cc2a7-1596-46f1-88f3-201b38bbdb5d%2F0d5c912e-a78a-43b7-a121-4fff79b7dfcb%2Fcheec2p_processed.jpeg&w=3840&q=75)
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
173
158
143
(y beats per minute)
(a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)
|-1
(b) What is the significance of the value found in part (a)?
O The slope of the regression is about half of what the expected value is.
O The graph of the regression points passes through none of the data points.
O The graph of the regression points passes through all three data points.
O The linear correlation coefficient should always be positive.
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.)
ý = -0.85x +187
(d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 69. (Round your answer to the nearest whole number.)
128
X beats per minute
(e) Is the procedure in part (d) an example of interpolation or extrapolation?
O extrapolation
O interpolation
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman