Question

A sleep study was given to 20 randomly selected people between the ages of 1 and 16. The graph shows the relationship between the age of the person and the number of hours they slept.

Which of the following describes the pattern of association between the variables, based on 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.

Answer 1

Based on the graph, it appears that there is a negative nonlinear association between the age of the person and the number of hours they slept. As the age increases, the number of hours slept decreases, but the rate of decrease slows down as the age increases, which suggests a nonlinear relationship.