The scatter plot shows the relationship between the amount of time students in a mathematics class studied for an exam and their score on the exam.

scatter plot titled mathematics class, with the x axis labeled time studying in minutes and the y axis labeled score on exam with points at 0 comma 50, 10 comma 52, 30 comma 54, 40 comma 55, 50 comma 55, 60 comma 56, 70 comma 60, 75 comma 65, 80 comma 70, 85 comma 78, 90 comma 83, 95 comma 90, 100 comma 95, and 105 comma 100

Which of the following describes the pattern of association for the graph?
There is a positive linear association.
There is a positive nonlinear association.
There is a negative linear association.
There is a negative nonlinear association.

1 answer

To analyze the scatter plot described, we look at how the exam scores change as the time studying (in minutes) increases.

From the points mentioned:

  • As the time studying increases, the exam scores generally increase as well.
  • The scores rise in a somewhat consistent manner, suggesting a trend where more studying is typically associated with higher scores.

Given this information, we can conclude that the relationship is a positive association (scores go up as study time goes up).

Since the points seem to form a pattern that resembles a line, we can describe the association as linear.

Therefore, the correct description of the pattern of association for the graph is: There is a positive linear association.