The z-scores for X and Y variables are exactly the same except they have opposite signs.The coefficient of determination is
A) 0.00.
B) -1.00.
C) +1.00.
D) not possible to compute with this information.

Question

Quizplus · Accepted Answer

The coefficient of determination is the square of the correlation coefficient (r). Since the z-scores for X and Y variables are exactly the same except they have opposite signs, the correlation coefficient between X and Y will have a negative sign that gets squared to become positive. Therefore, the coefficient of determination will be +1.00, indicating a perfect positive relationship between X and Y.

The Z-Scores for X and Y Variables Are Exactly the Same