Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. $\begin{array}{l|l|l|l|l|l|l|l|l|l}
Performance&59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \
Attitude& 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78
\end{array}$

A) $y = - 47.3 + 2.02 x$
B) $y = 92.3 - 0.669 x$
C) $y = 11.7 + 1.02 x$
D) $y = 2.81 + 1.35 x$

Question

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. $\begin{array}{l|l|l|l|l|l|l|l|l|l}
Performance&59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \
Attitude& 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78
\end{array}$

A) $y = - 47.3 + 2.02 x$
B) $y = 92.3 - 0.669 x$
C) $y = 11.7 + 1.02 x$
D) $y = 2.81 + 1.35 x$

Quizplus · Accepted Answer

The correct equation of the line of best fit is found by using a graphing utility to perform a linear regression analysis on the given data points. The equation $y = 11.7 + 1.02x$ most closely represents the relationship between performance (x) and attitude (y), as it suggests a positive correlation where an increase in performance is associated with an increase in attitude. The coefficients (slope and y-intercept) are determined by the regression analysis and are rounded to two decimal places as instructed.

Use a Graphing Utility to Find the Equation of the Line