What information is provided by the sign (+ or -) of the Pearson correlation? 4.2 What information is provided by the numerical value of the Pearson correlation? 4.3 For the following set of data: X Y 2 5 1 5 8 9 5 7 4 6 a. Sketch a graph showing the location of the five X,Y points. b. Just looking at your graph, estimate the value of the Pearson correlation. c. Compute the Pearson correlation for this data set using the formula sheet handed out in class, showing all work, all steps, without using Excel. 4.4 It is well known that similarity in attitudes, beliefs, and interests plays an important role in interpersonal attraction (see Byrne, 1971, for example). Thus, correlations for attitudes between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate that the person has liberal attitudes, whereas high scores indicate conservatism. The following hypothetical data are scores for married couples. Couple Wife Husband A 2 8 B 7 4 C 3 3 D 2 9 E 4 6 F 5 3 G 6 6 H 5 8