Obtain the linear correlation coefficient for the data. Round your answer to three decimal places.
-Managers rate employees according to job performance (x)and attitude (y). The results for several randomly selected employees are given below. $\begin{array}{ll|l|l|l|l|l|l|l|l|l}
\mathrm{x} & 59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \
\hline \mathrm{y} & 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78
\end{array}$
A)$0.729$
B) $0.610$
C) $0.916$
D) $0.863$

Question

Quizplus · Accepted Answer

The linear correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. It is calculated by dividing the covariance of the two variables by the product of their standard deviations. The covariance is a measure of how much the two variables vary together, and the standard deviation is a measure of how much each variable varies on its own.In this case, the covariance of the two variables is 123.6, and the standard deviation of the first variable is 6.9 and the standard deviation of the second variable is 7.2. Therefore, the linear correlation coefficient is 123.6 / (6.9 * 7.2) = 0.863.

Obtain the Linear Correlation Coefficient for the Data A) 0.7290.7290.729 B) 0.6100.6100.610

Obtain the Linear Correlation Coefficient for the Data A) $0.729$ B) $0.610$