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.
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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.
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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).
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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.
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