We find that the correlation between math ability (X ) and musical aptitude scores (Y) is r = +.44. The standard error of the estimate is SY, = 3.90. Bubbles has a math score of 60 and Foofy a score of 72.
(a) Based on their math scores, who is predicted to have the higher music score and why?
(b) What procedure would we use to predict their music scores?
(c) If our predictions are wrong, what is the “average” amount we expect to be “off”?
(d) How much smaller is this error than if we don’t use math scores to predict music scores?
(e) What is you answer in part (d) called?