Find the value of the linear correlation coefficient r.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results. $\begin{array}{cc|c|c|c|c|c|c|c|c|c}
\text { Productivity } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
\hline
\text { Dexterity } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75
\end{array}$
A) $\hat{y} = 10.7 + 1.53 x$
B) $\hat{y} = 5.05 + 1.91 \mathrm { x }$
C) $\hat { y } = 2.36 + 2.03 x$
D) $\hat { y } = 75.3 - 0.329 \mathrm { x }$

Question

Quizplus · Accepted Answer

The linear correlation coefficient $ r $ is not directly given, but the correct regression equation that best fits the data is option B, which is $\hat{y} = 5.05 + 1.91x$. This equation suggests a positive linear relationship between productivity and dexterity.

Find the Value of the Linear Correlation Coefficient R A) y^=10.7+1.53x\hat{y} = 10.7 + 1.53 xy^​=10.7+1.53x

Find the Value of the Linear Correlation Coefficient R A) $\hat{y} = 10.7 + 1.53 x$