Question
The scatterplot below shows the shoe sizes of students and the number of books the students collected for the library book drive.
A graph titled Books for the Library has shoe size on the x-axis, and number of books on the y-axis. Points are scattered.
Which statement about the scatterplot is true?
In general, each student collected a number of books equal to his or her shoe size.
In general, the shoe size of a student does not affect the number of books collected.
As shoe size increases, the number of books collected decreases.
As shoe size increases, the number of books collected increases.
A graph titled Books for the Library has shoe size on the x-axis, and number of books on the y-axis. Points are scattered.
Which statement about the scatterplot is true?
In general, each student collected a number of books equal to his or her shoe size.
In general, the shoe size of a student does not affect the number of books collected.
As shoe size increases, the number of books collected decreases.
As shoe size increases, the number of books collected increases.
Answers
GPT-4o mini
To determine which statement about the scatterplot is true, we need to analyze the relationship between shoe sizes (x-axis) and the number of books collected (y-axis).
1. **In general, each student collected a number of books equal to his or her shoe size.**
- This statement would suggest a direct 1-to-1 correlation, which is unlikely unless explicitly shown by the data.
2. **In general, the shoe size of a student does not affect the number of books collected.**
- This statement would only be true if there were no apparent trend in the scatterplot, but often scatterplots indicate some level of correlation or relationship.
3. **As shoe size increases, the number of books collected decreases.**
- This statement suggests a negative correlation, which would be represented in the scatterplot by points trending downward as you move along the x-axis. Without visual confirmation, we cannot assert this trend.
4. **As shoe size increases, the number of books collected increases.**
- This statement suggests a positive correlation, meaning that as shoe size increases, the points would trend upward.
To accurately determine the correct statement, we would need to observe the pattern shown in the scatterplot. In many cases relating to students, a larger shoe size may not directly correlate with the number of books collected, but the actual pattern in the scatterplot is necessary to confirm any of these statements.
Without viewing the scatterplot, based on typical assumptions and patterns observed in data:
- If there is an upward trend, option 4 is correct.
- If there is a downward trend, option 3 would be correct.
- If no trend is observable, option 2 might be correct.
If you can provide more information about the trend observed in the scatterplot, we can more confidently select the right answer.
1. **In general, each student collected a number of books equal to his or her shoe size.**
- This statement would suggest a direct 1-to-1 correlation, which is unlikely unless explicitly shown by the data.
2. **In general, the shoe size of a student does not affect the number of books collected.**
- This statement would only be true if there were no apparent trend in the scatterplot, but often scatterplots indicate some level of correlation or relationship.
3. **As shoe size increases, the number of books collected decreases.**
- This statement suggests a negative correlation, which would be represented in the scatterplot by points trending downward as you move along the x-axis. Without visual confirmation, we cannot assert this trend.
4. **As shoe size increases, the number of books collected increases.**
- This statement suggests a positive correlation, meaning that as shoe size increases, the points would trend upward.
To accurately determine the correct statement, we would need to observe the pattern shown in the scatterplot. In many cases relating to students, a larger shoe size may not directly correlate with the number of books collected, but the actual pattern in the scatterplot is necessary to confirm any of these statements.
Without viewing the scatterplot, based on typical assumptions and patterns observed in data:
- If there is an upward trend, option 4 is correct.
- If there is a downward trend, option 3 would be correct.
- If no trend is observable, option 2 might be correct.
If you can provide more information about the trend observed in the scatterplot, we can more confidently select the right answer.