Problem

A professor at a community college wants to determine whether number of absences (x) is a useful linear predictor of the final grade for the course (y). The professor obtained the following least squares regression line:
\[
y=-2.83 x+88.73
\]
Interpret the slope of the line.

Answer

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Answer

The slope of the line, -2.83, indicates that for each additional absence, the final grade decreases by 2.83 points, on average, assuming all other factors are held constant.

Steps

Step 1 :The slope of the line, -2.83, indicates that for each additional absence, the final grade decreases by 2.83 points, on average, assuming all other factors are held constant.

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