Question
Which scatterplot shows the weakest negative linear correlation?
On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together in a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together in a line and decrease.
On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together in a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together in a line and decrease.
Answers
GPT-4o mini
To determine which scatterplot shows the weakest negative linear correlation, let’s analyze the descriptions:
1. **Points are grouped closely together and increase**: This indicates a strong positive correlation.
2. **Points are grouped closely together in a line and increase**: This suggests a very strong positive correlation, as the points are not just close, but also form a distinct line.
3. **Points are grouped closely together and decrease**: This indicates a strong negative correlation, as the points are closely clustered and show a decreasing trend.
4. **Points are grouped closely together in a line and decrease**: This indicates a very strong negative correlation, as the points form a clear line that decreases.
Given these analyses, the scatterplot that shows the weakest negative linear correlation would be **the one where the points are grouped closely together and decrease**. However, since there is another plot that has points closely gathered but clearly forms a line while decreasing (the last one), it actually reflects a stronger negative correlation.
Thus, among the given options, **the scatterplot with points "grouped closely together" and "decreases" (option 3)** would likely represent the weakest negative linear correlation compared to the one that is closely grouped and in a linear format while descending (option 4).
1. **Points are grouped closely together and increase**: This indicates a strong positive correlation.
2. **Points are grouped closely together in a line and increase**: This suggests a very strong positive correlation, as the points are not just close, but also form a distinct line.
3. **Points are grouped closely together and decrease**: This indicates a strong negative correlation, as the points are closely clustered and show a decreasing trend.
4. **Points are grouped closely together in a line and decrease**: This indicates a very strong negative correlation, as the points form a clear line that decreases.
Given these analyses, the scatterplot that shows the weakest negative linear correlation would be **the one where the points are grouped closely together and decrease**. However, since there is another plot that has points closely gathered but clearly forms a line while decreasing (the last one), it actually reflects a stronger negative correlation.
Thus, among the given options, **the scatterplot with points "grouped closely together" and "decreases" (option 3)** would likely represent the weakest negative linear correlation compared to the one that is closely grouped and in a linear format while descending (option 4).