For each of the following, state whether you would expect the Pearson r correlation between X and Y to be positive, zero, or negative. Assume that each correlation is based on a sample of 50 participants who have scores on both X and Y.
(a) X = grades in a high school advanced placement psychology course, Y = scores on the advanced placement psychology test.
(b) X = intelligence, Y = size of big toe on right foot.
(c) X = number of rounds of golf played, Y = average golf score per 18 holes.
(d) X = number of hours spent watching television per week, Y = grades in high school.
(e) X = self − esteem (low number indicates low self-esteem), Y = depression (higher number indicates more depressed).
(f) X = number of hours spent studying for a test, Y = number of mistakes made on that test.