A perfect inverse relationship would indicate an r value of what?

A perfect inverse relationship in statistics is represented by a correlation coefficient (r) of -1. This indicates that as one variable increases, the other variable decreases in a perfectly linear manner. The correlation coefficient measures the strength and direction of a linear relationship between two variables, with -1 signifying a perfect negative correlation.

In this context, when r is -1, it means that every increase in one variable corresponds to a proportional decrease in the other variable, and this relationship is consistent across all data points. It reflects an exact linear relationship, making it the strongest possible inverse correlation.

The values of 0 and +1 represent different types of relationships: a correlation of 0 signifies no linear relationship, while +1 indicates a perfect positive relationship where both variables increase together. The value of 100 is not a valid correlation coefficient in this context, as correlation coefficients range from -1 to +1. Thus, only an r value of -1 adequately indicates a perfect inverse relationship.