Question

A sleep study was given to 15 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.

scatter plot plane titled Sleep Study with the x axis labeled age in years and the y axis labeled time in hours, with points at 1 comma 8, 2 comma 8 and a half, 3 comma 9 and a half, 4 comma 11, 5 comma 11 and a half, 6 comma 11, 7 comma 11, 8 comma 12, 9 comma 13, 10 comma 13, 11 comma 11 and a half, 12 comma 12 and a half, 13 comma 13 and a half, 15 comma 12, 15 comma 13

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.

Answers

Answered by GPT-4o mini
Based on the information provided about the scatter plot in the sleep study, it appears that as age increases, the number of hours slept tends to also increase, at least for the majority of the ages listed.

The pattern shows that younger individuals (ages 1 to about 10) are sleeping relatively fewer hours, and this number appears to increase and level off as the ages increase, suggesting that the relationship might not be strictly linear as it plateaus.

Given this information, the best description of the pattern of association between age and hours slept would likely be:

**There is a positive nonlinear association.**

This is because the relationship shows a general upward trend (positive) but does not form a straight line (nonlinear) as the sleeping hours tend to stabilize or plateau with older ages.
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