Subjects statistics

Strongest Correlation C60E36

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1. The problem asks which r-value represents the strongest correlation. 2. The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. 3. The value of $r$ ranges from $-1$ to $1$. 4. The strength of the correlation is determined by the absolute value of $r$, where values closer to $1$ or $-1$ indicate a stronger correlation. 5. Given the values: $-0.83$, $-0.67$, $0.48$, and $0.79$, we find their absolute values: $$|{-0.83}| = 0.83$$ $$|{-0.67}| = 0.67$$ $$|0.48| = 0.48$$ $$|0.79| = 0.79$$ 6. The largest absolute value is $0.83$, corresponding to $-0.83$. 7. Therefore, the strongest correlation is represented by $r = -0.83$. Final answer: $\boxed{-0.83}$