The Paired Data Below Consists of Test Scores and Hours $\hat{\mathrm { y }} = 44.845 + 3.524 \mathrm { x }$

Multiple Choice

The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is $\hat{\mathrm { y }} = 44.845 + 3.524 \mathrm { x }$ and the standard error of estimate is se $= 5.40$ . Find the $99 \%$ prediction interval for the test score of a person who spent 7 hours preparing for the test.
$\begin{array}{c|rrrrr}x \text { Hours of preparation } & 5 & 2 & 9 & 6 & 10 \\\hline \mathrm{y} \text { Test score } & 64 & 48 & 72 & 73 & 80\end{array}$

A) $35 <$ y $< 104$
B) $32 < y < 107$
C) $62 < y < 78$
D) $58 < y < 82$