객관식
Which of the following is a property of the linear correlation coefficient ?
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11. Correlation
Correlation Coefficient
객관식
Given a dataset where as one variable increases, the other variable tends to decrease in a nearly linear fashion, which of the following values is most likely to be the correlation coefficient for this data?
A
B
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D
검증된 단계별 안내1
Understand that the correlation coefficient, denoted as \(r\), measures the strength and direction of a linear relationship between two variables.
Recall that \(r\) ranges from \(-1\) to \(1\), where values close to \(1\) indicate a strong positive linear relationship, values close to \(-1\) indicate a strong negative linear relationship, and values near \(0\) indicate little to no linear relationship.
Since the problem states that as one variable increases, the other tends to decrease in a nearly linear fashion, this suggests a strong negative linear relationship.
Therefore, the correlation coefficient should be a value close to \(-1\), indicating a strong negative correlation.
Among the given options, identify the value that is both negative and close to \(-1\), which best represents the described relationship.
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