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

The correct equation of the regression line can be found by calculating the slope (m) and y-intercept (b) using the formula for linear regression. Given the data, the calculation involves finding the mean of x and y, the product of x and y, the square of x, and then using these to calculate m and b. The closest match to the calculated values, when rounded to three significant digits, is option D, indicating it as the correct choice for the regression line equation.

Use the Given Data to Find the Equation of the Regression