Cardiorespiratory fitness is widely recognized as a major component of overall p
ID: 3316583 • Letter: C
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. A sample is taken and variables measured are age (years), time necessary to walk 1 mile (mins), and heart rate at the end of the walk (bpm) in addition to the VO2 max uptake. The equation from a multiple regression is (V02) = 0.011*(age) + 0.022*(HR) - 0.017*(time) + 3.151. If a person is 45.355 years old, has a heart rate of 142.568 bpm, a walking time of 12.883 minutes, and a maximum oxygen intake of 22.998 L/min, the residual would be 16.4306. What is the best interpretation of this residual?
Question 10 options:
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2)
3)
4)
5)
1)
The max oxygen intake is 16.4306 L/min larger than what we would expect.2)
The max oxygen intake is 22.998 L/min larger than what we would expect.3)
The max oxygen intake is 16.4306 L/min less than what we would expect.4)
The heart rate is 16.4306 bpm less than what we would expect.5)
The heart rate is 16.4306 bpm larger than what we would expect.Explanation / Answer
The regression equation is (V02) = 0.011*(age) + 0.022*(HR) - 0.017*(time) + 3.151
inputting the values of age, HR and time given in the question , we get V02 =0.011*45.355 + 0.022*142.568 - 0.017*12.883 + 3.151=6.56739
the residual for 22.998 is 16.4306
thus The max oxygen intake is 16.4306 L/min less than what we would expect. or 3)