Heptathlon 2004. We discussed the womens 2004Olympic

Chapter 8, Problem 51

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Heptathlon 2004. We discussed the womens 2004Olympic heptathlon in Chapter 6. The table on the nextpage shows the results from the high jump, 800-meterrun, and long jump for the 26 women who successfullycompleted all three events in the 2004 Olympics. Lets examine the association among these events. Per-form a regression to predict high-jump performance fromthe 800-meter results.a) What is the regression equation? What does the slopemean?b) What percent of the variability in high jumps can beaccounted for by differences in 800-m times?c) Do good high jumpers tend to be fast runners? (Becarefullow times are good for running events andhigh 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 itto predict high-jump performance? (Compare theresidual standard deviation to the standard deviationof the high jumps.)