The average of the cross-products of Z scores is a better indicator of the relationship between two variables than the sum of the cross-products of Z scores because the average
A)appropriately measures the strength of the relationship whereas the sum does not.
B)appropriately measures the direction of the relationship whereas the sum does not.
C)is converted to a standard scale from -10 to +10 whereas the sum is not.
D)is formed using a combination of the two variables' measurement scales whereas the sum is not.

Question

Quizplus · Accepted Answer

The average of the cross-products of Z scores is a better indicator of the relationship between two variables than the sum of the cross-products of Z scores because the average appropriately measures the strength of the relationship whereas the sum does not. This is because the sum can be influenced by the magnitude of the variables, whereas the average is standardized and reflects the degree to which the two variables move together or apart. Therefore, the average of the cross-products of Z scores is a more appropriate measure of the relationship between two variables.

The Average of the Cross-Products of Z Scores Is a Better