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 $y = 11.7+1.02x$. what does 1.02 mean in the context of the problem?\na that if their attitude rating was 0 the performance rating would be 1.02.\nb that if the performance rating was 0, their attitude rating would be 1.02.\nc that for every point their performance rating goes up their attitude rating improves by 1.02 points.\nd that for every point their attitude rating goes up their performance rating improves by 1.02 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 $y = 11.7+1.02x$. what does 1.02 mean in the context of the problem?\na that if their attitude rating was 0 the performance rating would be 1.02.\nb that if the performance rating was 0, their attitude rating would be 1.02.\nc that for every point their performance rating goes up their attitude rating improves by 1.02 points.\nd that for every point their attitude rating goes up their performance rating improves by 1.02 points.

Answer

Answer:

C. That for every point their performance rating goes up their attitude rating improves by 1.02 points.

Explanation:

Step1: Recall linear - equation form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the given equation $y = 11.7+1.02x$, $y$ represents the attitude rating and $x$ represents the performance rating.

Step2: Interpret the slope

The slope $m = 1.02$. In the context of a linear relationship between two variables, the slope represents the change in the dependent variable ($y$, attitude rating) for a one - unit change in the independent variable ($x$, performance rating). So, for every one - point increase in the performance rating ($x$), the attitude rating ($y$) increases by 1.02 points.