Find the Best Predicted Value of Y Corresponding to the Given

Multiple Choice

Find the best predicted value of y corresponding to the given value of x.
-The regression equation relating dexterity scores $( \mathrm { x } )$ and productivity scores ( $\mathrm { y } )$ for the employees of a company $\hat { y } = 5.50 + 1.91 \mathrm { x }$ . Ten pairs of data were used to obtain the equation. The same data yield $\mathrm { r } = 0.986$ and $\bar { y } = 56.3$ . What is the best predicted productivity score for a person whose dexterity score is 33 ?

A) $56.30$
B) $58.20$
C) $68.53$
D) $183.41$