Construct the Indicated Prediction Interval for an Individual Y $\hat { y } = 6.1829 + 4.3394 x$

Multiple Choice

Construct the indicated prediction interval for an individual y.
-The equation of the regression line for the paired data below is $\hat { y } = 6.1829 + 4.3394 x$ and the standard error of estimate is $\mathrm { se } ^ { = } = 1.6419$ . Find the $99 \%$ prediction interval of $\mathrm { y }$ for $\mathrm { x } = 6$ .
$\begin{array}{r|rrrrrrr}\mathrm{x} & 9 & 7 & 2 & 3 & 4 & 22 & 17 \\\hline \mathrm{y} & 43 & 35 & 16 & 21 & 23 & 102 & 81\end{array}$

A) $25.0 < y < 39.4$
B) $25.8 < \mathrm { y } < 43.5$
C) $28.6 < y < 40.7$
D) $32.1 < y < 37.1$