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. $\begin{array}{l|l|l|l|l|l|l|l|l|l|l}
\text { Productivity }(x) & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
\hline \text { Dexterity (y) } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75
\end{array}$

A) $\hat { y } = 2.36 + 2.03 x$
B) $\hat { y } = 10.7 + 1.53 x$
C) $\hat { y } = 75.3 - 0329 x$
D) $\hat { y } = 5.05 + 1.91 x$

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. $\begin{array}{l|l|l|l|l|l|l|l|l|l|l}
\text { Productivity }(x) & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
\hline \text { Dexterity (y) } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75
\end{array}$

A) $\hat { y } = 2.36 + 2.03 x$
B) $\hat { y } = 10.7 + 1.53 x$
C) $\hat { y } = 75.3 - 0329 x$
D) $\hat { y } = 5.05 + 1.91 x$

Quizplus · Accepted Answer

To find the equation of the regression line, we first calculate the slope (m) and the y-intercept (b) using the formulas for linear regression. The slope formula is $m = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}$, and the y-intercept formula is $b = \frac{\sum y - m(\sum x)}{n}$, where n is the number of data points. After calculating these using the given data, the equation that matches the calculated slope and y-intercept with appropriate rounding is $\hat { y } = 5.05 + 1.91 x$.

Use the Given Data to Find the Equation of the Regression