9.1) Cardiorespiratory fitness is widely recognized as a major component of over
ID: 3309712 • Letter: 9
Question
9.1)
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 variables y = VO2max (L/min) x1 = weight (kg) 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": Y = 5.0 + 0.01x1 - 0.05x2 - 0.13x3 - 0.01x4 + 0 = 0.4 (a) Interpret B1. O Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 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 increase in vozmax. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min increase in vozmax. O Holding all other variables constant, a 0.01 kg increase in weight will result in a 1 L/min decrease in vo_max. Interpret B3. 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. O Holding all other variables constant, a 1 min increase in walk time will result in a 0.13 L/min decrease in vozmax. 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 0.13 min increase in walk time will result in a 1 L/min increase in vo_max. (b) What is the expected value of Vozmax when weight is 77 kg, age is 21 yr, walk time is 11 min, and heart rate is 138 b/m? L/minExplanation / Answer
a) holding all other variable constant ; a 1kg increase in weight will result in 0.01 L/min increase in Vo2 Max.
holding all other variable constant ; a 1 min increase in walk time will result in 0.13 L/min decrease in Vo2 Max.
b)
expected value =5+0.01*77-0.05*21-0.13*11-0.01*138=1.91
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