managers at a company rate employees on performance and attitude and find that an employees attitude depends…

managers at a company rate employees on performance and attitude and find that an employees attitude depends on their performance. they find a linear relationship and the line of best fit is $y = 11.7+1.02x$. if the performance rating increased by 2 points what would happen to the attitude rating?\na it would increase by 2.04 points.\nb it would increase by 11.25 points.\nc it would increase by 23.4 points.\nd it would increase by 0.089 points.

managers at a company rate employees on performance and attitude and find that an employees attitude depends on their performance. they find a linear relationship and the line of best fit is $y = 11.7+1.02x$. if the performance rating increased by 2 points what would happen to the attitude rating?\na it would increase by 2.04 points.\nb it would increase by 11.25 points.\nc it would increase by 23.4 points.\nd it would increase by 0.089 points.

Answer

Answer:

A. It would increase by 2.04 points.

Explanation:

Step1: Identify the slope - intercept form

The equation is $y = 11.7+1.02x$, where 1.02 is the slope.

Step2: Understand the meaning of slope

The slope represents the change in $y$ (attitude rating) for a unit change in $x$ (performance rating).

Step3: Calculate the change in $y$

If $\Delta x = 2$, then $\Delta y=1.02\times\Delta x$. Substitute $\Delta x = 2$ into the formula: $\Delta y = 1.02\times2=2.04$.