Use the Given Data to Find the Best Predicted Value $( \mathrm { x } )$

Multiple Choice

Use the given data to find the best predicted value of the response variable.
-The regression equation relating dexterity scores $( \mathrm { x } )$ and productivity scores $( \mathrm { y } )$ for the employees of a company is $\hat{y} = 5.50 + 1.91 x$ . Ten pairs of data were used to obtain the equation. The same data yield $\mathrm { r } = 0.986$ and $\overline { \mathrm { y } } = 56.3$ . What is the best predicted productivity score for a person whose dexterity score is $37 ?$

A) 56.30
B) 205.41
C) 58.20
D) 76.17