Construct a 95% Prediction Interval for Y Given X = $\mathrm { Se }$

Multiple Choice

Construct a 95% prediction interval for y given x = 2.5, ? = -2.5x and $\mathrm { Se }$ = 0.866. Round interval to three decimal places. $$\begin{array} { l | c | c | c | c | } \mathrm { x } & - 1 & - 2 & - 3 & - 4 \\\hline \mathrm { y } & 2 & 6 & 7 & 10\end{array}$$

A) $- 15.566 < y < 3.066$
B) $- 12.594 < \mathrm { y } < 0.094$
C) $- 16.156 < y < 3.656$
D) $- 8.244 < y < - 4.256$