Questions: Which of these r-values represents the weakest correlation? A. -0.55 B. -0.25 C. -0.45 D. -0.35

Solution Steps

To determine the weakest correlation, we need to identify the $r$-value that is closest to zero. The correlation coefficient $r$ ranges from -1 to 1, where values closer to 0 indicate a weaker correlation.

To determine the weakest correlation among the given \( r \)-values, we need to find the value that is closest to zero. The correlation coefficient \( r \) ranges from \(-1\) to \(1\), where values closer to zero indicate a weaker correlation.

Given the \( r \)-values:

• \( r_1 = -0.55 \)
• \( r_2 = -0.25 \)
• \( r_3 = -0.45 \)
• \( r_4 = -0.35 \)

We compare the absolute values:

• \(|r_1| = 0.55\)
• \(|r_2| = 0.25\)
• \(|r_3| = 0.45\)
• \(|r_4| = 0.35\)

The smallest absolute value is \(|r_2| = 0.25\).

Final Answer