Question

Question 10 (1 point)

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.761*(height) + 0.92*(percent body fat) - 90.224. If a female athlete is 63 inches tall and has a 18 percentage of body fat, what is her expected weight?

Question 10 options:

1)	We do not know the observations in the data set, so we cannot answer that question.

2)

406.727

3)

53.434

4)

226.279

5)

316.503

Question 11 (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) = 0.083*(age) + 0.178*(HR) + 0.077*(time) + 6.444. If a person is 37 years old, has a heart rate of 140 bpm, and a walking time of 13 minutes, and a maximum oxygen intake of 19.71 L/min, what is the residual?

Question 11 options:

1)

-9.282

2)

-1.564

3)

-15.726

4)	We do not know the observations in the data set, so we cannot answer that question.

5)

15.726

Question 12 (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) = 0.077*(age) - 0.08*(HR) + 0.067*(time) + 1.697. If a person is 42 years old, has a heart rate of 123 bpm, a walking time of 12 minutes, and a maximum oxygen intake of 19.754 L/min, the residual would be 23.859. What is the best interpretation of this residual?

Question 12 options:

1)	The heart rate is 23.859 bpm larger than what we would expect.

2)	The max oxygen intake is 23.859 L/min less than what we would expect.

3)	The max oxygen intake is 23.859 L/min larger than what we would expect.

4)	The heart rate is 23.859 bpm less than what we would expect.

5)	The max oxygen intake is 19.754 L/min larger than what we would expect.

Answer 1

Ans 10)

the regression equation as (weight) = 4.761*(height) + 0.92*(percent body fat) - 90.224.

If a female athlete is 63 inches tall and has a 18 percentage of body fat,

expected weight =4.761*63 + 0.92*18- 90.224. = 226.279

option 4 is true

Ans 11)The equation from a multiple regression is (V02) = 0.083*(age) + 0.178*(HR) + 0.077*(time) + 6.444.

If a person is 37 years old, has a heart rate of 140 bpm, and a walking time of 13 minutes, and a maximum oxygen intake of 19.71 L/min,

(V02) = 0.083*37 + 0.178*140 + 0.077*13 + 6.444 =35.436

the residual 19.71-35.436 = -15.726

option 3 is true

Ans 12 the residual would be 23.859. \the best interpretation of this residual is The heart rate is 23.859 bpm less than what we would expect.

option 2 is true