Correlation CoefficientThe value of the correlation coefficient will always be:Greater than 0Greater than 1Between 0 and 1Between -1 and 1

Understanding the Correlation Coefficient

1. Definition: The correlation coefficient is a statistical measure that indicates the extent to which two variables fluctuate together. It is denoted as $r$ and can take any value between -1 and 1.

2. Possible Values:

   • Greater than 0: This implies a positive correlation. As one variable increases, the other also increases.
   • Greater than 1: This is not possible, as the maximum value of the correlation coefficient is 1.
   • Between 0 and 1: This indicates a positive correlation where both variables move in the same direction, but not perfectly.
   • Between -1 and 1: This is the correct range for the correlation coefficient, indicating both positive and negative correlations.

Final Answer

The correct statement is that the value of the correlation coefficient will always be between -1 and 1.