Question
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.
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.
Answers
GPT-4o mini
Based on the information provided about the scatter plot, the points generally show an upward trend as study time increases. Initially, the scores increase with the amount of time studied, but there appears to be some variability in the increase, especially at higher study times.
Considering the given options:
1. **Positive linear association** - This implies a straight-line relationship where scores consistently rise as study time increases, which does not fully capture the observed variability.
2. **Positive nonlinear association** - This suggests that while the overall trend is upward, the relationship is not consistent enough to be linear. This seems plausible given the fluctuations in scores at higher study times.
3. **Negative linear association** - This implies that as study time increases, scores decrease, which does not match the data.
4. **Negative nonlinear association** - This implies that scores decrease with more study time, which also does not match the data.
Considering these explanations, the best overall description of the association in the scatter plot is: **There is a positive nonlinear association.**
Considering the given options:
1. **Positive linear association** - This implies a straight-line relationship where scores consistently rise as study time increases, which does not fully capture the observed variability.
2. **Positive nonlinear association** - This suggests that while the overall trend is upward, the relationship is not consistent enough to be linear. This seems plausible given the fluctuations in scores at higher study times.
3. **Negative linear association** - This implies that as study time increases, scores decrease, which does not match the data.
4. **Negative nonlinear association** - This implies that scores decrease with more study time, which also does not match the data.
Considering these explanations, the best overall description of the association in the scatter plot is: **There is a positive nonlinear association.**