Construct the Indicated Prediction Interval for an Individual Y $\hat { y } = 73.012 + 0.8859 x$

Multiple Choice

Construct the indicated prediction interval for an individual y.
-The regression equation for the given paired data is $\hat { y } = 73.012 + 0.8859 x$ and the standard error of estimate is $\mathrm { s_e } = 2.78807 .$ Find the $95 \%$ prediction interval of $\mathrm { y }$ for $\mathrm { x } = 37$ .
$\begin{array}{r|rrrrrr}\mathrm{x} & 25 & 26 & 36 & 36 & 40 & 48 \\\hline \mathrm{y} & 95 & 95 & 102 & 109 & 110 & 114\end{array}$

A) $73.0 < \mathrm { y } < 114.2$
B) $97.4 < \mathrm { y } < 114.2$
C) $73.0 < y < 105.8$
D) $97.4 < \mathrm { y } < 10.8$