In an Area of the Midwest, Records Were Kept on the Relationship

Multiple Choice

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre) . Construct a 95% prediction interval for y, the yield, given x = 11 inches,
? = 4.379x + 4.267 and $\mathrm { Se }$ = 3.529. Round interval to two decimal places. $$\begin{array} { l | l | l | l | l | l | l | l | l | l | } \text { Rainfall (in inches) , } \mathrm { x } & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \\\hline \text { Yield (bushels per acre) , } y & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8\end{array}$$

A) $43.56 < y < 61.32$
B) $41.68 < y < 63.21$
C) $40.54 < y < 64.15$
D) $39.86 < y < 65.98$