Shown below are the scores of 20 female college professors on a measure of satisfaction with their work (Y), and a measure of satisfaction with their lives in general (X). Also shown are the means, standard deviations, and rxy.

Prof.1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

X: 57 64 60 59 49 57 62 53 66 55 61 48 69 58 61 55 68 56 62 55

Y: 44 53 47 50 36 49 54 40 52 48 49 39 60 46 48 43 57 47 51 45

Mean of X = 58.75 S.D. of X = 5.64 Mean of Y = 47.9 S.D of Y = 5.9 rxy = 0.94

(a) Find the regression equation for predicting work satisfaction (Y) from life satisfaction (X).

(b) Predict work satisfaction (Y) scores from X scores of 50, and 70.

(c) Graph the 20 pairs of X and Y scores in a scatter plot. On the same graph, plot the regression line obtained in (a) above. (Note: This can be done by first plotting the point representing X = 50 and the predicted Y score that you calculated in (b) above, and then do the same thing for the X score of 70. Then connect these two points on the graph with a straight line, and presto! You have your regression line. In other words, the regression line is the line that runs through all of the predicted Y-scores if you were to plot them on the graph.)

(d) Compute the Standard Error of Estimate (Se). What does this statistic represent? Relate it to what you have plotted on the graph.