The Regression Equation for the Given Paired Data Is $\hat { y } = 73.012 + 0.8859 \mathrm { x }$

Multiple Choice

The regression equation for the given paired data is $\hat { y } = 73.012 + 0.8859 \mathrm { x }$ and the standard error of estimate is $\mathrm { s } _ { \mathrm { e } } = 2.78807$ . 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) $97.4 < y < 10.8$
B) $73.0 < y < 114.2$
C) $73.0 < y < 105.8$
D) $97.4 <$ y $< 114.2$