Question

Which of the following statements are TRUE? If X and Y are two random variables such that Y = aX + b, where a and b are two finite constants and a > 0, then the correlation between X and Y is exactly equal to 1. If X and Y are two random variables and a and b are two finite constants, then E(aX + bY) = aE(X) + bE(Y). Let Y be a random variable with mean m and variance v, then E(Y^2) = m^2. Let X and Y be two random variables such that Y = a + bX + U, where U is the error term. If the R^2 of the regression of Y on X is one, it means that b = 0. If X and Y are two random variables and a and b are two finite constants, then V(aX + bY) = a^2V(X) + b^2V(Y).

          Which of the following statements are TRUE?
If X and Y are two random variables such that Y = aX + b, where a and b are two finite constants and a > 0, then the correlation between X and Y is exactly equal to 1.
If X and Y are two random variables and a and b are two finite constants, then E(aX + bY) = aE(X) + bE(Y).
Let Y be a random variable with mean m and variance v, then E(Y^2) = m^2.
Let X and Y be two random variables such that Y = a + bX + U, where U is the error term. If the R^2 of the regression of Y on X is one, it means that b = 0.
If X and Y are two random variables and a and b are two finite constants, then V(aX + bY) = a^2V(X) + b^2V(Y).

Added by Kayla L.

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