Question

Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?

a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.

Answer 1

b. The fitted regression line is approximately Y = 82.42(runtime)

Explanation:

The regression line is Y= aX + b

here b= 82.42 a = -3.31

Hence the regression equation is

Y= 82.42- 3.31 X

where x is the runtime and the slope is given by b.

Option a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.

Option b is incorrect because the runtime is not given by Y it is given by X.

Option C is correct as

Y= 82.42-3.31*10

Y= 82.42-33.1

Y= 49.32 almost 50

Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.

Option e is also correct because the slope is given by b and b= 82.42