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Which of the following r-values represents the strongest correlation?A.0.50B.0.74C.0.92D.0.29

Question

Which of the following r-values represents the strongest correlation?A.0.50B.0.74C.0.92D.0.29

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Solution

The r-value, also known as the correlation coefficient, measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1. An r-value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to determine which r-value represents the strongest correlation:

  1. Look at the absolute value of each r-value. The absolute value ignores the sign, so it only considers the strength of the correlation, not the direction.

  2. Compare the absolute values. The r-value with the highest absolute value represents the strongest correlation.

Let's apply these steps to the given r-values:

A. |0.50| = 0.50 B. |0.74| = 0.74 C. |0.92| = 0.92 D. |0.29| = 0.29

Comparing these absolute values, we can see that 0.92 is the highest. Therefore, the r-value of 0.92 (option C) represents the strongest correlation.

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