Heptathlon revisited again We saw the data for the women’s

Chapter 6, Problem 74E

(choose chapter or problem)

Problem 74E

Heptathlon revisited again We saw the data for the women’s 2004 Olympic heptathlon in Exercise 73. Are the two jumping events associated? Perform a regression of the long-jump results on the high-jump results.

a) What is the regression equation? What does the slope mean?

b) What percentage of the variability in long jumps can be accounted for by high-jump performances?

c) Do good high jumpers tend to be good long jumpers?

d) What does the residuals plot reveal about the model?

e) Do you think this is a useful model? Would you use it to predict long-jump performance? (Compare the residual standard deviation to the standard deviation of the long jumps.)

Exercise 73:

Heptathlon revisited We discussed the women’s 2012 Olympic heptathlon in Chapter 6. Here are the results from the high jump, 800-meter run, and long jump for the 26 women who successfully completed all three events in the 2004 Olympics (www.espn.com):

Let’s examine the association among these events. Perform a regression to predict high-jump performance from the 800-meter results.

a) What is the regression equation? What does the slope mean?

b) What percent of the variability in high jumps can be accounted for by differences in 800-m times?

c) Do good high jumpers tend to be fast runners? (Be careful—low times are good for running events and high distances are good for jumps.)

d) What does the residuals plot reveal about the model?

e) Do you think this is a useful model? Would you use it to predict high-jump performance? (Compare the residual standard deviation to the standard deviation of the high jumps.)