If the correlation between a response variable Y and explana

If the correlation between a response variable Y and explanatory variable X is -0.2, what is the value that defines how much varaition in Y is explained by X?

A) 4%

B) 2%

C) -4%

D) -2%

Explain your answer.

Solution

If the correlation between a response variable Y and explanatory variable X is -0.2, what is the value that defines how much variation in Y is explained by X?

A) 4%

B) 2%

C) -4%

D) -2%

Answer A

Explain your answer.

r= -0.2

R²   = (-0.2)*(-0.2) = 0.04 ( that is 0.04*100=4%)

R² is the variation in Y is explained by X

4% variation in Y is explained by X