If r = 1.00, then r obt must equal 1.00.

Question

Quizplus · Accepted Answer

This is true by definition. The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1. A perfect positive correlation (where one variable increases as the other increases) has a correlation coefficient of +1, while a perfect negative correlation (where one variable decreases as the other increases) has a correlation coefficient of -1. If r = 1.00, this means that there is a perfect positive correlation between the two variables. Therefore, r obt (the obtained correlation coefficient) must also equal 1.00 by definition.

If R = 100, Then R Obt Must Equal 1