What does a high value of r² indicate?

What does a high value of r² indicate?

• A. A weak correlation
• B. A moderate correlation
• C. A strong correlation
• D. No correlation

Answer: (C)

A high value of r², which ranges from 0 to 1, indicates that a significant proportion of the variance in one variable can be explained by the variance in another variable. Specifically, when r² approaches 1, it suggests a strong relationship between the two variables being analyzed. This means that changes in one variable are closely linked to changes in the other variable, which can be visualized through a scatter plot where the data points closely align with a trend line. Thus, if you see a high r² value, it signifies a robust correlation, leading to the conclusion that there is a strong linear relationship present between the two variables.

A high value of r², which ranges from 0 to 1, indicates that a significant proportion of the variance in one variable can be explained by the variance in another variable. Specifically, when r² approaches 1, it suggests a strong relationship between the two variables being analyzed. This means that changes in one variable are closely linked to changes in the other variable, which can be visualized through a scatter plot where the data points closely align with a trend line. Thus, if you see a high r² value, it signifies a robust correlation, leading to the conclusion that there is a strong linear relationship present between the two variables.