Select all the correct answers below Is this correct and why

Select all the correct answers below. Is this correct and why??????

Which of the following is a property of the correlation coefficient? Select all the correct answers below. The correlation is not affected by changes in units or scale. B. The correlation between x and y is the same as the correlation between y and x. The sign of the correlation tells us the direction of the association. It is always between - 1 and 1.

Solution

A. TRUE. The effect of conversion cancels because the correlation coefficient is a ratio.

B. TRUE. Cor(y, x) = Cor(x, y).

C. TRUE. A positive slope yields a positive correlation, and a negative slope yields a negative correlation.

D. TRUE, by definition.

THUS, THERE ARE ALL TRUE.