객관식
Which of the following statements about the correlation coefficient is true?
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11. Correlation
Correlation Coefficient
객관식
Which of the following is a property of the linear correlation coefficient ?
A
The value of is always between and , inclusive.
B
is always positive for any data set.
C
is unaffected by outliers in the data.
D
measures the strength of any nonlinear relationship.
검증된 단계별 안내1
Recall that the linear correlation coefficient, denoted as \(r\), measures the strength and direction of a linear relationship between two variables.
Understand that \(r\) is calculated based on standardized values of the variables, which ensures that its value is constrained within a specific range.
Recognize the fundamental property that \(r\) always lies between \(-1\) and \(1\), inclusive. This means \(-1 \leq r \leq 1\).
Note that a value of \(r = 1\) indicates a perfect positive linear relationship, \(r = -1\) indicates a perfect negative linear relationship, and \(r = 0\) indicates no linear relationship.
Be aware that \(r\) can be affected by outliers and only measures linear relationships, not nonlinear ones.
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