Multiple Choice
In a bivariate data set, if the correlation coefficient is negative, what does this indicate about the relationship between the two variables?
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11. Correlation
Correlation Coefficient
Multiple Choice
In terms of the Pearson correlation coefficient , which value represents the weakest linear correlation?
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Verified step by step guidance1
Recall that the Pearson correlation coefficient \(r\) measures the strength and direction of a linear relationship between two variables, ranging from \(-1\) to \$1$.
Understand that the magnitude (absolute value) of \(r\) indicates the strength of the correlation, where values close to \$1\( or \)-1\( represent strong correlations, and values close to \)0$ represent weak correlations.
Compare the absolute values of the given \(r\) values: \(|-0.70| = 0.70\), \(|0.05| = 0.05\), \(|0.85| = 0.85\), and \(|-0.95| = 0.95\).
Identify the smallest absolute value among these, which corresponds to the weakest linear correlation.
Conclude that the value with the smallest absolute magnitude of \(r\) represents the weakest linear correlation.
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