Question

Question 11: 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) = 0.044*(age) + 0.197*(HR) - 0.019*(time) + 4.332. If a person is 49 years old, blood pressure of 107 bpm, and a walking time of 14 minutes, what is his/her expected maximum oxygen uptake?

	1) 18.427
	2) We do not know the observations in the data set, so we cannot answer that question.
	3) 27.301
	4) 22.969
	5) 18.637

Question 12: Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, the percentage of body fat of an athlete, and age. The researcher calculates the regression equation as (weight) = 4.799*(height) + 1.226*(percent body fat) - 1.034*(age) - 86.39. If a female athlete is 64.936 inches tall, has a 18.196 percentage of body fat, is 22.891 years old, and has a weight of 153.051. What is the residual?

	1) -70.8259
	2) 157.2159
	3) We do not know the observations in the data set, so we cannot answer that question.
	4) 158.9409
	5) 70.8259

Question 13: A trucking company considered a multiple regression model for relating the dependent variable of total daily travel time for one of its drivers (hours) to the predictors distance traveled (miles) and the number of deliveries of made. After taking a random sample, a multiple regression was performed and the output is given below. Interpret the slope of the distance variable.

Predictor Constant distance deliveries Coef -10.12 0.032 О. 946 Stdev 25.554 0.032 0.83 t-ratio 0.99 1.14 0.699 0.3422 0.2769 s = 10 . 459 R-sq 10.14% = Analysis of Variance SOURCE Regression Error Total DE 2 12 MS 74.05 109.39 0.5266 148.09 1312.69 1460.78 0.68

	1) We do not have enough information to say.
	2) When distance increases by 1 miles, time decreases by 0.032 hours, holding all other variables constant.
	3) When distance increases by 1 miles, time increases by 0.032 hours, holding all other variables constant.
	4) When distance decreases by 1 miles, time increases by 0.032 hours, holding all other variables constant.
	5) When distance increases by 0.032 miles, time increases by 1 hour, holding all other variables constant.

Question 14: 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 following output is from a multiple regression. Based on the F-test alone, what is the correct conclusion about the regression slopes?

	1) All the regression slopes are equal to zero.
	2) We do not have the dataset, therefore, we are unable to make a conclusion about the slopes.
	3) We did not find significant evidence to conclude that at least one slope differs from zero.
	4) All the regression slopes do not equal zero.
	5) At least one of the regression slopes does not equal zero.

Answer 1