The Equation of the Regression Line for the Paired Data $\hat{\mathrm { y }} = 3 \mathrm { x }$

Multiple Choice

The equation of the regression line for the paired data below is $\hat{\mathrm { y }} = 3 \mathrm { x }$ and the standard error of estimate is se $=$ 2.2361. Find the $90 \%$ prediction interval of $y$ for $x = 3$ .
$\begin{array}{r|rrrr}x & 2 & 4 & 5 & 6 \\\hline y & 7 & 11 & 13 & 20\end{array}$

A) $1.2 < y < 16.8$
B) $6.8 < y < 11.2$
C) $4.5 < y < 13.5$
D) $7.1 < y < 10.9$