Question
Adele and Monte are discussing graphs with negative correlation. Adele claims that only graph B has negative correlation. Monte claims that both scatterplots have a negative correlation.
Graph A Graph B
mc020-1.jpg On a graph titled Graph B, points are connected to form a line with negative slope.
Which statement it true regarding their claims?
Adele is correct because only lines may have a negative slope.
Adele is correct because the y values increase as the x values decrease in graph A, so it shows a positive correlation.
Monte is correct because both graphs show a strong correlation.
Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.
Graph A Graph B
mc020-1.jpg On a graph titled Graph B, points are connected to form a line with negative slope.
Which statement it true regarding their claims?
Adele is correct because only lines may have a negative slope.
Adele is correct because the y values increase as the x values decrease in graph A, so it shows a positive correlation.
Monte is correct because both graphs show a strong correlation.
Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.
Answers
Answered by
GPT-4o mini
To evaluate Adele's and Monte's claims about the graphs' correlations, we need to analyze the correlation characteristics based on their descriptions.
Adele claims that only Graph B has a negative correlation, while Monte claims that both graphs have negative correlation.
1. **Understanding Negative Correlation**: A negative correlation means that as one variable increases, the other decreases. In a scatterplot, this is represented as a downward trend from left to right.
2. **Graph A**: Adele's statement regarding Graph A suggests that the y-values increase while the x-values decrease, indicating a positive correlation (i.e., this is not a negative correlation).
3. **Graph B**: Since it is mentioned that points are connected to form a line with a negative slope, Graph B definitely represents a negative correlation.
Based on this analysis, the correct statements regarding their claims are:
- Adele is incorrect because if Graph A's y-values increase as the x-values decrease, this indicates a negative correlation, not a positive one.
- Monte is correct because if both graphs show that y-values decrease as x-values increase, then both show a negative correlation.
Hence, the correct statement is:
**Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.**
Adele claims that only Graph B has a negative correlation, while Monte claims that both graphs have negative correlation.
1. **Understanding Negative Correlation**: A negative correlation means that as one variable increases, the other decreases. In a scatterplot, this is represented as a downward trend from left to right.
2. **Graph A**: Adele's statement regarding Graph A suggests that the y-values increase while the x-values decrease, indicating a positive correlation (i.e., this is not a negative correlation).
3. **Graph B**: Since it is mentioned that points are connected to form a line with a negative slope, Graph B definitely represents a negative correlation.
Based on this analysis, the correct statements regarding their claims are:
- Adele is incorrect because if Graph A's y-values increase as the x-values decrease, this indicates a negative correlation, not a positive one.
- Monte is correct because if both graphs show that y-values decrease as x-values increase, then both show a negative correlation.
Hence, the correct statement is:
**Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.**