Question: Heptathlon, again. we saw the data for the women's 2004 Olympic heptathlon in Exercise 51. Are the two jumping events associated? Perform a regression to predict the long jump results from the high jump results. a) \Vhat is the regression equation? W' hat does the slope mean? b) What percentage of the variation in long jumps can be ac- counted for by high jump performances? e) 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 pre- dict long jump performance? (Compare the residual standard deviation to the standard deviation of the long jumps.)

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