A perfect positive correlation coefficient is represented by which value?

A perfect positive correlation coefficient is represented by the value of +1. This indicates that as one variable increases, the other variable also increases in perfect proportion. The strength and direction of the relationship are illustrated clearly: a +1 value signifies a strong, direct relationship where all data points align perfectly along a straight line with a positive slope.

In statistical terms, correlation coefficients range from -1 to +1. A coefficient of +1 indicates absolute positive correlation, whereas values closer to 0 suggest weaker or no correlation. Thus, while a value of 0 indicates no correlation, -1 represents a perfect negative correlation where one variable decreases as the other increases. A value of 0.5 indicates a moderate positive correlation but does not reflect the perfection of the relationship that +1 does.