Question

a) this statement is true. b) this statement is false. it will quadruple it since 2 squared is 4. c) this statement is false. it will divide the correlation by 2. d) this statement is false. it will not change the correlation. the units of the correlation are the same as the units of y. is this statement true? if false, explain briefly. choose the correct answer below. a. this statement is true. b. this statement is false. correlations are measured in percentages. c. this statement is false. the units of the correlation are a combination of the units of y and the units of x. d. this statement is false. correlation has no units.

Explanation:

The correlation coefficient is a unit - less measure. It is calculated as a ratio of the covariance of two variables to the product of their standard deviations. The units in the numerator and denominator cancel out during the calculation process. So, it does not depend on the units of the variables \(x\) and \(y\).

Answer:

A. This statement is true. Correlation has no units.