What value of r indicates a perfect positive correlation?

What value of r indicates a perfect positive correlation?

• A. r = 0
• B. r = 1
• C. r = -1
• D. r = 0.5

Answer: (B)

A perfect positive correlation is represented by a correlation coefficient value of 1. This indicates that there is a direct linear relationship between two variables, meaning that as one variable increases, the other variable also increases proportionally. The value of r ranges from -1 to 1 in the correlation coefficient, where 1 specifically signifies that all data points lie perfectly on a straight line with a positive slope. Thus, if r = 1, any increase in one variable is matched by a corresponding increase in the other variable, demonstrating a perfect positive correlation.

A perfect positive correlation is represented by a correlation coefficient value of 1. This indicates that there is a direct linear relationship between two variables, meaning that as one variable increases, the other variable also increases proportionally. The value of r ranges from -1 to 1 in the correlation coefficient, where 1 specifically signifies that all data points lie perfectly on a straight line with a positive slope. Thus, if r = 1, any increase in one variable is matched by a corresponding increase in the other variable, demonstrating a perfect positive correlation.