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. $\begin{array}{cc|c|c|c|c|c|c|c|c|c}
\text { Performance } & 59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \
\text { Attitude } & 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78
\end{array}$
A) $y = - 47.3 + 2.02 x$
B) $\mathrm { y } = 92.3 - 0.669 \mathrm { x }$
C) $y = 11.7 + 1.02 x$
D) $y = 2.81 + 1.35 x$

Question

Quizplus · Accepted Answer

Given the data, a line of best fit is calculated using a graphing utility or statistical software. The correct equation, $y = 11.7 + 1.02 x$, represents the relationship between job performance (x) and attitude (y), indicating that for every one-point increase in performance, the attitude rating increases by approximately 1.02 points, starting from a base attitude rating of 11.7 when performance is zero. This choice is determined by performing a linear regression analysis on the provided data.

Use a Graphing Utility to Find the Equation of the Line