What is the correlation coefficient value indicating a moderate correlation?

What is the correlation coefficient value indicating a moderate correlation?

• A. r=0.5
• B. r=0.75
• C. r=1
• D. r=0.25

Answer: (B)

A correlation coefficient is a numerical measure of the strength and direction of a linear relationship between two variables. The values of the correlation coefficient (denoted as r) range from -1 to 1, where: - A value of 1 indicates a perfect positive correlation, meaning as one variable increases, the other variable increases in exact proportion. - A value of -1 indicates a perfect negative correlation, meaning as one variable increases, the other variable decreases in exact proportion. - A value of 0 indicates no correlation, indicating no relationship exists between the two variables. When considering what constitutes a moderate correlation, values typically range between 0.3 and 0.7. Therefore, a correlation coefficient of 0.5 falls within this range, suggesting a moderate positive relationship between the variables. A value of 0.75, while indicative of a stronger positive correlation, exceeds the threshold for moderate correlation. Values like 1 or 0.25 do not fit the moderate range; 1 signifies a perfect correlation, and 0.25 suggests a weak correlation. Thus, the most appropriate choice indicating a moderate correlation is 0.5.

A correlation coefficient is a numerical measure of the strength and direction of a linear relationship between two variables. The values of the correlation coefficient (denoted as r) range from -1 to 1, where:

• A value of 1 indicates a perfect positive correlation, meaning as one variable increases, the other variable increases in exact proportion.

• A value of -1 indicates a perfect negative correlation, meaning as one variable increases, the other variable decreases in exact proportion.

• A value of 0 indicates no correlation, indicating no relationship exists between the two variables.

When considering what constitutes a moderate correlation, values typically range between 0.3 and 0.7. Therefore, a correlation coefficient of 0.5 falls within this range, suggesting a moderate positive relationship between the variables. A value of 0.75, while indicative of a stronger positive correlation, exceeds the threshold for moderate correlation. Values like 1 or 0.25 do not fit the moderate range; 1 signifies a perfect correlation, and 0.25 suggests a weak correlation. Thus, the most appropriate choice indicating a moderate correlation is 0.5.