Suppose You Will Perform a Test to Determine Whether There $\alpha$

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear
correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance
level $\alpha$
-The regression equation relating dexterity scores (x) and productivity scores (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 $r = 0.986$ and $\bar { y } = 56.3$ . What is the best predicted productivity score for a person whose dexterity score is 33 ?

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