Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.
$\begin{array}{cc|c|c|c|c|c|c|c|c|c}
\text { Productivity } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
\text { Dexterity } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75
\end{array}$

A) $\hat { y } = 2.36 + 2.03 \mathrm { x }$
B) $\hat { y } = 75.3 - 0.329 \mathrm { x }$
C) $\hat { y } = 5.05 + 1.91 \mathrm { x }$
D) $\hat { y } = 10.7 + 1.53 \mathrm { x }$

Question

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.
$\begin{array}{cc|c|c|c|c|c|c|c|c|c}
\text { Productivity } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
 \text { Dexterity } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75
\end{array}$

A) $\hat { y } = 2.36 + 2.03 \mathrm { x }$
B) $\hat { y } = 75.3 - 0.329 \mathrm { x }$
C) $\hat { y } = 5.05 + 1.91 \mathrm { x }$
D) $\hat { y } = 10.7 + 1.53 \mathrm { x }$

Quizplus · Accepted Answer

The regression line is calculated using the least squares method. After computing the necessary sums and averages, the slope and intercept are found to match option C.

Use the Given Data to Find the Equation of the Regression