The coefficient of correlation
A)is the same as the coefficient of determination
B)can be larger than 1
C)cannot be larger than 1
D)cannot be negative

Question

Quizplus · Accepted Answer

The coefficient of correlation, also known as the Pearson correlation coefficient, is a numerical value between -1 and 1 that measures the strength and direction of the linear relationship between two variables. A value of 1 represents a perfect positive linear correlation, a value of 0 represents no linear correlation, and a value of -1 represents a perfect negative linear correlation. Therefore, the coefficient of correlation cannot be larger than 1 or negative. Choice A is incorrect because while the coefficient of determination (r^2) is related to the coefficient of correlation, they are not the same thing. Choice B is also incorrect for the reason mentioned above.

The Coefficient of Correlation