The Equation of the Regression Line for the Paired Data $\hat { y } = 6.1829 + 4.3394 \mathrm { x }$

Multiple Choice

The equation of the regression line for the paired data below is $\hat { y } = 6.1829 + 4.3394 \mathrm { x }$ and the standard error of estimate is $\mathrm { se } _ { \mathrm { e } } = 1.6419$ . Find the $99 \%$ prediction interval of $\mathrm { y }$ for $\mathrm { x } = 12$ .
$\begin{array}{r|rrrrrrr}\mathrm{x} & 9 & 7 & 2 & 3 & 4 & 22 & 17 \\\hline \mathrm{y} & 43 & 35 & 16 & 21 & 23 & 102 & 81\end{array}$

A) $56.4 < y < 68.5$
B) $53.6 < y < 71.3$
C) $59.9 < y < 64.9$
D) $51.1 < y < 65.4$