The Total Blood Cholesterol Concentrations, In $\mathrm { mg } / \mathrm { dL }$

Essay

The total blood cholesterol concentrations, in $\mathrm { mg } / \mathrm { dL }$ , are shown below for a random sample of six people. In the table below, $x$ is the age of the subject and $y$ is the subject's total cholesterol concentration. Find the $95 \%$ prediction interval when $x = 58$ years.
$\begin{array}{l|cccccc}x \text { (age) } & 36 & 49 & 58 & 69 & 63 & 71 \\\hline y(\mathrm{mg} / \mathrm{dL}) & 204 & 194 & 209 & 257 & 245 & 256\end{array}$