The scatter plot shows the relationship between the number of homework assignments turned in over a week and the test score for that same week:
A scatter plot is shown. The x-axis is labeled Homework Assignments Submitted and the y-axis is labeled test score. Data points are located at 1 and 30, 2 and 70, 2 and 75, 3 and 80, 5 and 100, 4 and 100, 4 and 90, 5 and 95, and 1 and 60. A circle labeled X surrounds all of the points except 1 and 30. The point 1 and 30 is labeled Y.
Part A: What is the group of points labeled X called? What is the point labeled Y called? Give a possible reason for the presence of point Y. (3 points)
Part B: Describe the association between a student's test scores and the number of homework assignments submitted. (2 points)
Part A: The group of points labeled X is called a cluster. The point labeled Y is called an outlier. One possible reason for the presence of point Y could be that the student did not understand the material on the test and therefore struggled with both completing homework assignments and performing well on the test.
Part B: The association between a student's test scores and the number of homework assignments submitted appears to be positive based on the scatter plot. This means that as the number of homework assignments submitted increases, the test scores also tend to increase. This suggests that students who complete more homework assignments are more likely to perform better on their tests.