객관식
Which of the following is not measured or described by a (correlation coefficient)?
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11. Correlation
Correlation Coefficient
객관식
Which of the following statements about the correlation coefficient is true?
A
The correlation coefficient measures the strength and direction of a linear relationship between two variables.
B
A correlation coefficient of indicates a perfect negative linear relationship.
C
The correlation coefficient is always greater than or equal to .
D
A correlation coefficient of always means there is no relationship of any kind between the variables.
검증된 단계별 안내1
Understand that the correlation coefficient, often denoted as \(r\), quantifies the strength and direction of a linear relationship between two variables.
Recall that the value of the correlation coefficient ranges from \(-1\) to \(1\), where \(r = 1\) indicates a perfect positive linear relationship, and \(r = -1\) indicates a perfect negative linear relationship.
Note that the correlation coefficient can be negative, zero, or positive, so it is not always greater than or equal to zero; it can be less than zero as well.
Recognize that a correlation coefficient of \(0\) means there is no linear relationship between the variables, but it does not necessarily mean there is no relationship at all; there could be a non-linear relationship.
Evaluate each statement based on these properties to determine which one correctly describes the correlation coefficient.
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