Refer to the relationship r = (sx/sy)b between the slope and correlation, which is equivalently sxb =

Question:

Refer to the relationship r = (sx/sy)b between the slope and correlation, which is equivalently sxb = rsy.
a. Explain why an increase in x of sx units relates to a change in the predicted value of y of sxb units. (For instance, if sx = 10, it corresponds to a change in of 10b.)
b. Based on part a, explain why an increase of one standard deviation in x corresponds to a change of only r standard deviations in the predicted y -variable.