What is the range of values for the correlation coefficient?

The correlation coefficient measures the strength and direction of a linear relationship between two variables. The range of values for the correlation coefficient is constrained between -1 and +1. When the coefficient is in the positive range (0 to +1), it indicates a positive correlation, meaning that as one variable increases, the other variable tends to increase as well. Conversely, a negative correlation is indicated by values from -1 to 0, where an increase in one variable corresponds to a decrease in the other.

A correlation coefficient of +1 implies a perfect positive linear relationship, while -1 signifies a perfect negative linear relationship. A coefficient of 0 indicates no linear correlation between the variables. This is a fundamental concept in statistics and is crucial for understanding relationships in data analysis, making the -1 to +1 range the correct answer. The other options incorrectly suggest ranges that do not represent the actual possible values of the correlation coefficient, which can lead to misunderstandings about correlation and data relationships.