Multiple Choice
Which value of the correlation coefficient indicates the strongest linear relationship between two quantitative variables?
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11. Correlation
Correlation Coefficient
Multiple Choice
Which of the following correlation coefficients represents the strongest linear relationship?
A
B
C
D
Verified step by step guidance1
Recall that the correlation coefficient \(r\) measures the strength and direction of a linear relationship between two variables, and its value ranges from \(-1\) to \$1$.
Understand that the strength of the linear relationship is determined by the absolute value of \(r\), denoted as \(|r|\), regardless of whether \(r\) is positive or negative.
Calculate the absolute values of the given correlation coefficients: \(|0.60| = 0.60\), \(|-0.99| = 0.99\), \(|-0.20| = 0.20\), and \(|0.95| = 0.95\).
Compare these absolute values to identify which is the largest, as the largest \(|r|\) indicates the strongest linear relationship.
Conclude that the correlation coefficient with the largest absolute value represents the strongest linear relationship.
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