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3 weeks ago
Height and weight Last fall, as our first example of correlation, we looked at the heights and weights of some AP* Statistics students. Here are the scatterplot, the residuals plot, a histogram of the residuals, and the regression analysis for the data we collected from the males. Use this information to analyze the association between heights and weights of teenage boys.



a. Is there an association? Write appropriate hypotheses.
b. Are the assumptions for regression satisfied? Explain.
c. What do you conclude?
d. Create a 95% confidence interval for the true slope.
e. Explain in context what your interval means.
Textbook 

Stats: Modeling the World


Edition: 4th
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3 weeks ago
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a. H0: There is no association between height and weight.
HA: There is an association between height and weight.
b. The scatterplot looks straight enough, residuals are random and display consistent spread, the histogram of residuals looks roughly unimodal and symmetric.
c. Reject H0 because of the small P-value; there is strong evidence of an association between height and weight.
d. 7.30 ± 2.75
e. We are 95% confident that teenage boys gain an average of between 4.55 and 10.05 pounds per inch of height.
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