Height and Weight Last Fall, as Our First Example of Correlation

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.

Dependent variable is:WT(lb)
$\mathrm{R}$ squared $=56.6 \%$
$s=14.16 \text { with } 25-2=23$

$\begin{array}{lllll}\text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Const } & -364.403 & 94.61 & -3.85 & 0.0008 \\ \text { HT(in) } & 7.29993 & 1.333 & 5.48 & \leq 0.0001\end{array}$


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.