Questions: Which r-value represents the most moderate correlation? -0.92 -0.18 0.56 0.83

Transcript text: Which $r$-value represents the most moderate correlation? $-0.92$ $-0.18$ 0.56 0.83

Solution

Solution Steps

Step 1: Identify the r-values

The given r-values representing correlation coefficients are: \[ r_1 = -0.92, \quad r_2 = -0.18, \quad r_3 = 0.56, \quad r_4 = 0.83 \]

Step 2: Calculate Absolute Values

To determine the most moderate correlation, we calculate the absolute values of the r-values: \[ |r_1| = 0.92, \quad |r_2| = 0.18, \quad |r_3| = 0.56, \quad |r_4| = 0.83 \]

Step 3: Find the Most Moderate Correlation

The most moderate correlation corresponds to the r-value with the smallest absolute value. Among the calculated absolute values, we find: \[ \min(0.92, 0.18, 0.56, 0.83) = 0.18 \] Thus, the r-value that represents the most moderate correlation is: \[ r = -0.18 \]