A company studying the productivity of their employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number
Of completed entries made per hour (Y). The regression equation is yˆ = 14.374 − 0.145x . $$\text { If } s _ { x } = 14.04 \text { and } s _ { y } = 2.61 \text {, then the correlation coefficient between age and productivity is }$$
A) .779
B) -.236
C) .575
D) -.929
E) -.779

Question

Quizplus · Accepted Answer

The correlation coefficient (r) can be calculated using the formula $r = \frac{b \cdot s_x}{s_y}$, where $b$ is the slope of the regression line, $s_x$ is the standard deviation of x, and $s_y$ is the standard deviation of y. Substituting the given values, $r = \frac{-0.145 \cdot 14.04}{2.61}$, which calculates to approximately -0.779.

A Company Studying the Productivity of Their Employees on a New