ACT Math · Statistics and data analysis
A scatterplot has a correlation coefficient of r = -0.85. Which best describes the relationship?
A scatterplot has a correlation coefficient of . Which best describes the relationship?
Answer and explanation
Answer: H: A strong negative relationship
The correlation coefficient has two parts. Its sign shows direction: negative means that as one variable increases, the other tends to decrease. Its size shows strength: values near are strong and values near are weak. Here is negative and close to , so it is a strong negative relationship, choice H. Choice F has the wrong direction. Choice G has the right direction but calls weak. Choice J (no relationship) would need near . Note that correlation does not prove one variable causes the other.
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