I found this:

1) the sample correlation coefficient (r) is related to the regression coefficient (b1) by r= b1 (sx/sy) where sx is the standard deviation of x, and sy is the standard deviation of y.

I also found:

2) the simple linear regression model equation is y=b0 +b1x + e

The question I am looking at asks: Which of the following statements about the coefficient of correlation, r, is (are) true?

I. r will have the same sign as b1

II. r equals 0, when b1 = 0

III. When r equals 1, b1 is positive

The answer is that they are all (I,II,III) true.

Is the way to answer this using 1), 2) or are both B1's in 1) and 2) the same?

I appreciate your help.

Regards,

leaning