The value of a correlation is reported by a research to be r= 0.5. Which of the following statements is correc

Question

A. the x-variable explains 50% of the variability in the y-variable
B. the x-variable explains -50% of he variability in the y-variable
C. the x-variable explains 25% of the variability in the y-variable
D. the x variable explains -25% of the variability in the y-variable

Answer 1

To determine what percent of the variability in y is explained by the x-variable, we need the coefficient of determination r^2. In this problem r^2= 0.5*0.5= 0.25, which is 25%. So the answer is C.

Answer 2

A.