Question
The scatter plot shows the relationship between the amount of time, in hours, students in a Spanish class slept the night before an exam and their score on the exam.
scatter plot titled Spanish class with the x-axis labeled time slept in hours and the y-axis labeled score on exam with points at 0 comma 25, 1 comma 33, 3 comma 39, 4 comma 45, 5 comma 50, 6 comma 58, 8 comma 69, 9 comma 78, 9.5 comma 85, and 10 comma 90
Which of the following describes the pattern of association for the scatter plot?
There is a positive linear association.
There is a positive nonlinear association.
There is a negative linear association.
There is a negative nonlinear association.
scatter plot titled Spanish class with the x-axis labeled time slept in hours and the y-axis labeled score on exam with points at 0 comma 25, 1 comma 33, 3 comma 39, 4 comma 45, 5 comma 50, 6 comma 58, 8 comma 69, 9 comma 78, 9.5 comma 85, and 10 comma 90
Which of the following describes the pattern of association for the scatter plot?
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
GPT-4o mini
Based on the description of the scatter plot, the points appear to indicate that as the amount of time slept (in hours) increases, the exam scores also increase. This suggests a positive association.
To determine whether the association is linear or nonlinear, consider the pattern of the points:
- A linear association would show a consistent increase in scores with each increase in hours of sleep, resulting in a straight line trend.
- A nonlinear association, on the other hand, would show a more curved or varying pattern in the increase of scores.
From the data points provided (for example, the scores increasing from 25 with 0 hours of sleep to 90 with 10 hours of sleep), it appears that the scores are generally increasing at a varying but upward trend.
Given that the relationship is positive and seems to have a consistent upward trend without severe curvature, the best description would be:
**There is a positive linear association.**
To determine whether the association is linear or nonlinear, consider the pattern of the points:
- A linear association would show a consistent increase in scores with each increase in hours of sleep, resulting in a straight line trend.
- A nonlinear association, on the other hand, would show a more curved or varying pattern in the increase of scores.
From the data points provided (for example, the scores increasing from 25 with 0 hours of sleep to 90 with 10 hours of sleep), it appears that the scores are generally increasing at a varying but upward trend.
Given that the relationship is positive and seems to have a consistent upward trend without severe curvature, the best description would be:
**There is a positive linear association.**