We discussed the women’s 2016 Olympic heptathlon in Chapter 5. Here are the results from the high jump, 800-meter run, and long jump for the 27 women who successfully completed all three events in the 2016 Olympics: Women Heptathlon 2016 Revisited. A cvs file is also accessible in this homework sub-module. We are wondering whether the two jumping events are associated. i) Perform a regression1 of the long-jump results on the high-jumps results. What is the regression line? What does the slope mean? ii) What percentage of the variability in long jumps can be accounted for by high-jump performances? iii) Provide the scatterplot of residuals against high-jump2. Can you spot a point having high lever- age? Explain. iv) Perform a new regression omitting this point. What is the new slope, the new R2? What does it say about this point? v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare ”estimate of error standard deviation” to the standard deviation of the long jumps.)
We discussed the women’s 2016 Olympic heptathlon in Chapter 5. Here are the results from the high
jump, 800-meter run, and long jump for the 27 women who successfully completed all three
the 2016 Olympics: Women Heptathlon 2016 Revisited. A cvs file is also accessible in this homework
sub-module. We are wondering whether the two jumping events are associated.
i) Perform a regression1 of the long-jump results on the high-jumps results. What is the regression
line? What does the slope mean?
ii) What percentage of the variability in long jumps can be accounted for by high-jump performances?
iii) Provide the
age? Explain.
iv) Perform a new regression omitting this point. What is the new slope, the new R2? What does it
say about this point?
v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare
”estimate of error standard deviation” to the standard deviation of the long jumps.)
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iv) Perform a new regression omitting this point. What is the new slope, the new R2? What does it
say about this point?
v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare
”estimate of error standard deviation” to the standard deviation of the long jumps.