Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (vo,max) 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 Vo,max in terms of easily obtained quantities. Consider the following variables. y- vo,max (L/min) weight (kg) X- age (yr) X - time necessary to walk 1 mile (min) X- 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 + 0.01x, - 0.05x, - 0.13x, - 0.01x +e e-0.4 (a) Interpret O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO,max. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in Vo,max. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in Vo,max. O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in Vo,max. Interpret - O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in VO,max. O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in vo,max. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in Vo,max. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in Vo,max. (b) What is the expected value of vo,max when weight is 78 kg, age is 19 yr, walk time is 14 min, and heart rate is 132 b/m? L/min (c) What is the probability that Vo,max will be between 1.17 and 2.21 for a single observation made when the values of the predictors are as stated in part (b)? (Round your answer to four decimal places.)
Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (vo,max) 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 Vo,max in terms of easily obtained quantities. Consider the following variables. y- vo,max (L/min) weight (kg) X- age (yr) X - time necessary to walk 1 mile (min) X- 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 + 0.01x, - 0.05x, - 0.13x, - 0.01x +e e-0.4 (a) Interpret O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO,max. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in Vo,max. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in Vo,max. O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in Vo,max. Interpret - O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in VO,max. O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in vo,max. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in Vo,max. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in Vo,max. (b) What is the expected value of vo,max when weight is 78 kg, age is 19 yr, walk time is 14 min, and heart rate is 132 b/m? L/min (c) What is the probability that Vo,max will be between 1.17 and 2.21 for a single observation made when the values of the predictors are as stated in part (b)? (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 (VO,max) 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 VO,max in terms of easily obtained quantities. Consider the following variables.
y = vo,max (L/min)
x, = weight (kg)
X2 = age (yr)
X, = time necessary to walk 1 mile (min)
x, = 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 + 0.01x, - 0.05x, - 0.13x - 0.01x, + €
o = 0.4
(a) Interpret B,.
O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO,max.
O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in VO,max.
O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in VO,max.
O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min increase in VO,max.
Interpret ß3.
O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min decrease in Vo,max.
O Holding all other variables constant, a 0.13 min increase in walk time will result in a 1 L/min increase in VO,max.
O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in VO,max.
O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min increase in Vo,max.
(b) What is the expected value of VO,max when weight is 78 kg, age is 19 yr, walk time is 14 min, and heart rate is 132 b/m?
L/min
(c) What is the probability that VO,max will be between 1.17 and 2.21 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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