Find the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of $y$ for each of the $x$ -values, if meaningful. If the $x$ -value is not meaningful to predict the value of $y,$ explain why not. If convenient, use technology.
Shoe Size and Height The shoe sizes and heights (in inches) of 14 men
\begin{array}{|l|l|l|l|l|l|l|l|}
\hline \text { Shoe size, } \boldsymbol{x} & 8.5 & 9.0 & 9.0 & 9.5 & 10.0 & 10.0 & 10.5 \\
\hline \text { Height, } \boldsymbol{y} & 66.0 & 68.5 & 67.5 & 70.0 & 70.0 & 72.0 & 71.5 \\
\hline \text { Shoe size, } \boldsymbol{x} & 10.5 & 11.0 & 11.0 & 11.0 & 12.0 & 12.0 & 12.5 \\
\hline \text { Height, } \boldsymbol{y} & 69.5 & 71.5 & 72.0 & 73.0 & 73.5 & 74.0 & 74.0 \\
\hline
\end{array}
(a) $x=$ size 11.5
(b) $x=\operatorname{size} 8.0$
(c) $x=$ size 15.5
(d) $x=$ size 10.0