객관식
Which of the following statements about the correlation coefficient is true?
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11. Correlation
Correlation Coefficient
객관식
If two different variables are not related at all, they probably have a correlation coefficient of which of the following values?
A
B
C
D
검증된 단계별 안내1
Understand that the correlation coefficient measures the strength and direction of a linear relationship between two variables.
Recall that the correlation coefficient, denoted as \(r\), ranges from \(-1\) to \(1\), where \(r = 1\) means a perfect positive linear relationship, \(r = -1\) means a perfect negative linear relationship, and \(r = 0\) means no linear relationship.
Recognize that if two variables are not related at all, their correlation coefficient should be close to zero, indicating no linear association.
Evaluate the given options: \(0.5\) indicates a moderate positive correlation, \(1\) indicates a perfect positive correlation, \(-1\) indicates a perfect negative correlation, and \(0\) indicates no correlation.
Conclude that the correlation coefficient for two unrelated variables is \(0\) because it reflects the absence of any linear relationship.
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