6.

(a) Using the data in Problem 3, divide each value of X by 2 and construct a scatterplot showing the relationship between X and Y.

(a) How do your impressions of the new scatterplot compare with your impressions of the original plot?

(b) What is the covariance between X and Y?

(c) How is the covariance affected by this transformation?

(d) What is the Pearson r between X and Y? How does this compare with the initial r from Problem 4?

(e) What generalizations do these results permit regarding the effect of linear transformations (e.g., halving each score) on the degree of linear association between two variables?