Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO₂max) is the single best measure of such fitness, but direct measurement is time- consuming and expensive. It is therefore desirable to have a prediction equation for VO₂max in terms of easily obtained quantities. Consider the following variables. y-VO₂max (l/min) X₁ = weight (kg) X₂-age (yr) X₂-time necessary to walk 1 mile (min) X4 heart rate at the end of the walk (beats/min) Here is one possible model for male students, consistent with the information given in the article "Validation of the Rockport Fitness Walking Test in College Males and Females." Y-5.0+ 0.01x₁ -0.05x2 -0.13% -0.01x4 + o - 0.4 (a) Interpret 1 O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in VO₂max. O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO₂max. Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in VO₂max. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in VO₂max. Interpret O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in VO₂max. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in VO₂max. O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in VO₂max. Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in VO₂max. (b) What is the expected value of VO₂max when weight is 79 kg, age is 23 yr, walk time is 11 min, and heart rate is 132 b/m? 1.89 ✔L/min
Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO₂max) is the single best measure of such fitness, but direct measurement is time- consuming and expensive. It is therefore desirable to have a prediction equation for VO₂max in terms of easily obtained quantities. Consider the following variables. y-VO₂max (l/min) X₁ = weight (kg) X₂-age (yr) X₂-time necessary to walk 1 mile (min) X4 heart rate at the end of the walk (beats/min) Here is one possible model for male students, consistent with the information given in the article "Validation of the Rockport Fitness Walking Test in College Males and Females." Y-5.0+ 0.01x₁ -0.05x2 -0.13% -0.01x4 + o - 0.4 (a) Interpret 1 O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in VO₂max. O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO₂max. Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in VO₂max. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in VO₂max. Interpret O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in VO₂max. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in VO₂max. O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in VO₂max. Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in VO₂max. (b) What is the expected value of VO₂max when weight is 79 kg, age is 23 yr, walk time is 11 min, and heart rate is 132 b/m? 1.89 ✔L/min
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
![Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO₂max) is the single best measure of such fitness, but direct measurement is time-
consuming and expensive. It is therefore desirable to have a prediction equation for VO₂max in terms of easily obtained quantities. Consider the following variables.
y = VO₂max (L/min)
X₁= weight (kg)
X₂
X2
= age (yr)
X3 = time necessary to walk 1 mile (min)
X4 = heart rate at the end of the walk (beats/min)
Here is one possible model for male students, consistent with the information given in the article "Validation of the Rockport Fitness Walking Test in College Males and Females."t
Y = 5.0+ 0.01x₁0.05x2 -0.13x3 -0.01x4 + €
0 = 0,4
(a) Interpret 1.
O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in VO₂max.
O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO₂max.
Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in VO₂max.
O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in VO₂max.
Interpret 3.
O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in VO₂max.
O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in VO₂max.
O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in VO₂max.
Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in VO₂max.
(b) What is the expected value of VO₂max when weight is 79 kg, age is 23 yr, walk time is 11 min, and heart rate is 132 b/m?
✔ L/min
1.89
(c) What is the probability that VO₂max will be between 1.25 and 2.53 for a single observation made when the values of the predictors are as stated in part (b)? (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49c16ca5-b88f-43a3-920e-4b4f8a855675%2F72db4572-7c63-4324-975f-dae2d64a37ab%2Fkygq6pb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO₂max) is the single best measure of such fitness, but direct measurement is time-
consuming and expensive. It is therefore desirable to have a prediction equation for VO₂max in terms of easily obtained quantities. Consider the following variables.
y = VO₂max (L/min)
X₁= weight (kg)
X₂
X2
= age (yr)
X3 = time necessary to walk 1 mile (min)
X4 = heart rate at the end of the walk (beats/min)
Here is one possible model for male students, consistent with the information given in the article "Validation of the Rockport Fitness Walking Test in College Males and Females."t
Y = 5.0+ 0.01x₁0.05x2 -0.13x3 -0.01x4 + €
0 = 0,4
(a) Interpret 1.
O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in VO₂max.
O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO₂max.
Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in VO₂max.
O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in VO₂max.
Interpret 3.
O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in VO₂max.
O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in VO₂max.
O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in VO₂max.
Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in VO₂max.
(b) What is the expected value of VO₂max when weight is 79 kg, age is 23 yr, walk time is 11 min, and heart rate is 132 b/m?
✔ L/min
1.89
(c) What is the probability that VO₂max will be between 1.25 and 2.53 for a single observation made when the values of the predictors are as stated in part (b)? (Round your answer to four decimal places.)
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.
Step by step
Solved in 4 steps with 12 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Portion C of the question needed to be answered.
Solution
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