Given the following paired observations on variables X and Y, and the values of the standardized variables ZX and ZY, compute the Pearson correlation coefficient between each of the following pairs:

(a) X and Y;

(b) ZX and ZY;

(c) ZX and X;

(d) ZX and Y;

(e) X and Y – 3; and

(f) X and 2Y. Briefly discuss your results.

X Y ZX ZY 3 4 –1.5 –1.5 5 8 –0.5 0.5 6 7 0.0 0.0 7 6 0.5 –0.5 9 10 1.5 1.5