Provide an Appropriate Response $95 \%$ Prediction Interval For $y$ , the Yield, Given

Multiple Choice

Provide an appropriate response.
-In an area of the Great Plains, 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, $\hat { \mathrm { y } } = 4.379 \mathrm { x } + 4.267$ and $\mathrm { s } _ { \mathrm { e } } = 3.529$

A) $( 43.56,61.32 )$
B) $( 41.68,63.21 )$
C) $( 40.54,64.15 )$
D) $( 49.41,55.47 )$