객관식
Which of the following statements about the correlation coefficient is true?
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11. Correlation
Correlation Coefficient
객관식
Suppose you are shown four scatterplots, each with a calculated correlation coefficient. Which of the following correlation coefficients indicates the strongest linear relationship between the two variables?
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검증된 단계별 안내1
Recall that the strength of a linear relationship between two variables is measured by the absolute value of the correlation coefficient, denoted as \(|r|\), where \(r\) ranges from \(-1\) to \(1\).
Identify the given correlation coefficients: \(-0.60\), \(0.95\), \(-0.20\), and \(0.30\).
Calculate the absolute value of each correlation coefficient to assess the strength without considering direction: \(|{-0.60}| = 0.60\), \(|0.95| = 0.95\), \(|{-0.20}| = 0.20\), and \(|0.30| = 0.30\).
Compare these absolute values to determine which is the largest, as the largest absolute value indicates the strongest linear relationship.
Conclude that the correlation coefficient with the largest absolute value corresponds to the strongest linear relationship between the two variables.
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