Question

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they play computer games in a week:
On a grid, Label Hours Playing Computer Games on x axis and Test Scores on y axis. The title of the graph is Test Scores and Computer Games. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 0, 90 and 0, 100 and 0.5, 89 and 1, 81 and 1, 95 and 1, 100 and 1.1, 85 and 2, 90 and 3, 81 and 3.5, 65 and 3.5, 75 and 5, 70 and 6, 55 and 6.5, 65 and 7, 52 and 7.5, 95 and 9, 65. The ordered pair 7.5, 95 is circled and labeled as B. All the other points are put in an oval and labeled as A.

Part A: What is the group of points labeled A called? What is the point labeled B called? Give a possible reason for the presence of point B. (5 points)

Part B: Describe the association between students' test scores and the number of hours they play computer games. (5 points)

Answer 1

Part A: Group A is a cluster of points. Group B Is not even a group this point is an outlier. A possible reason Point B is involved is because there could be a student that although played a lot of video games, he studied too and got a good score.  

Part B: The association is a negative linear association. Also as students play more video games the test scores tend to go down.

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Answer 2

Part A. The group of points labeled A is the dataset which reveals a decreasing linear relationship. Point B could be considered an outlier because it falls outside the normal pattern of data points. A possible reason for the outlier is that there are other factors effecting students test scores that are not being taken into I account like their environment/homelife, parental involvement in education and students responsibilities , time-management. This may reveal an underlying flaw in the hypothesis as any hours spent in extracurricular activities or other time consuming tasks/chores are not considered either.

part B. In the dataset (group A) there is a decreasing linear relationship meaning that as the number of hours spent playing pc games increases, test scores decrease.