Provide an Appropriate Response $95 \%$ Prediction Interval For $y$ Given $\mathrm { x } = 2.5 , \hat { \mathrm { y } } = 6.91 \mathrm { x } + 46.26$

Multiple Choice

Provide an appropriate response.
-In order for a company's employees to work at a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Construct a $95 \%$ prediction interval for $y$ given $\mathrm { x } = 2.5 , \hat { \mathrm { y } } = 6.91 \mathrm { x } + 46.26$ , and $\mathrm { se } _ { \mathrm { e } } = 4.578$ .

A) $( 51.50,75.57 )$
B) $( 60.23,91.42 )$
C) $( 55.12,87.34 )$
D) $( 58.28,68.79 )$