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Question
which best describes the strength of a model with an r - value of 0.29? a weak positive correlation a strong positive correlation a weak negative correlation a strong negative correlation
The correlation coefficient \(r\) measures the strength and direction of a linear relationship. The value of \(r = 0.29\) is positive (since \(0.29>0\)), so it indicates a positive correlation. The magnitude \(|r| = 0.29\). Generally, if \(|r|\) is between \(0\) and \(0.3\), the correlation is considered weak; if \(|r|\) is between \(0.3\) and \(0.7\), the correlation is moderate; if \(|r|\) is greater than \(0.7\), the correlation is strong. Since \(0.29<0.3\), the correlation is weak.
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a weak positive correlation