Question 29 (1 point) Cardiorespiratory fitness is widely recognized as a major

Question

Question 29 (1 point)

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) = 0.042*(age) - 0.018*(HR) - 0.047*(time) + 4.239. If a person is 27.146 years old, has a heart rate of 109.137 bpm, a walking time of 14.273 minutes, and a maximum oxygen intake of 15.933 L/min, the residual would be 13.1892. What is the best interpretation of this residual?

Question 29 options:

1)

2)

3)

4)

5)

1)

The heart rate is 13.1892 bpm less than what we would expect.

2)

The heart rate is 13.1892 bpm larger than what we would expect.

3)

The max oxygen intake is 13.1892 L/min larger than what we would expect.

4)

The max oxygen intake is 13.1892 L/min less than what we would expect.

5)

The max oxygen intake is 15.933 L/min larger than what we would expect.

Explanation / Answer

Solution:

We are given

(V02) = 0.042*(age) - 0.018*(HR) - 0.047*(time) + 4.239

Age = 27.146, HR = 109.137, time = 14.273

(V02) = 0.042*27.146 - 0.018*109.137 - 0.047*14.273 + 4.239

Predicted (V02) = 2.743835

Observed (V02) = 15.933

Residual = 15.933 - 2.743835

Residual = 13.18917

Best Interpretation: 5)

The max oxygen intake is 15.933 L/min larger than what we would expect.

Observed (V02) = 15.933 > expected (V02) = 2.743835

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