Question

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Explanation:

Identify coordinates of representative points

We select two representative points along the general trend of the scatter plot to estimate the line of best fit:

$$ (x_1, y_1) = (1.5, 55) $$

$$ (x_2, y_2) = (3.5, 95) $$

Calculate the slope

We compute the average change in score per hour of study time:

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{95 - 55}{3.5 - 1.5} = \frac{40}{2} = 20 $$

Match with the options

The calculated slope of \(20\) points per hour matches option (A).

Answer:

• (A) 20 points (Correct answer)