Question

The plot shown below describes the relationship between student scores on the first exam in a class and their corresponding scores on the second exam in the class. Which of the following is the best estimate of the average change in the score on exam two associated with point increase in the score on exam 1

Answer 1

The average change in the score on exam two associated with a one-point increase in the score on exam one is approximately 4.83 points.

Step-by-step explanation:

The best estimate of the average change in the score on exam two associated with a one-point increase in the score on exam one can be found by interpreting the slope of the regression line.

In the given example, the slope of the line of best fit is 4.83.

This means that for each one-point increase in the score on the first exam, the score on the second exam is estimated to increase by 4.83 points, on average.

Therefore, for a student who scored 90 on the first exam, we can predict their score on the second exam to be approximately 4.83 times the increase of 90, which is 435.7.