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
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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.)
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