If zX equals zY for each pair of points, r will equal _______.
A) 0.00
B) - 1.00
C) 1.00
D) 0.50

Question

Quizplus · Accepted Answer

zX and zY represent the standardized values of two variables X and Y respectively. If zX equals zY for each pair of points, it means X and Y have the same deviation from their respective means in terms of standard deviation. This implies that the correlation coefficient between X and Y (denoted by r) will be equal to 1 or -1, depending on whether X and Y exhibit a positive or negative linear relationship. Since we do not have information about the relationship between X and Y, we cannot determine the sign of r. However, we can say that if zX equals zY for each pair of points, r will equal 1 or -1, indicating a perfect linear relationship between X and Y. Therefore, the best choice is C) 1.00.

If ZX Equals ZY for Each Pair of Points, R