12. Chapter 15, problem A study compared attitudes toward eating for male and fe

Question

12. Chapter 15, problem A study compared attitudes toward eating for male and female college students. The results showed that females are much more concerned about weight gain and other negative aspects of eating than are males. [Rozin, P., Bauer, R., & Cantanese, D. (2003). Food and life, pleasure and worry, among American college students: Gender differences and regional similarities. Journal of Personality and Social Psychology, 85, 132-141.] The following data represent the results from one measure of concern about weight gain. Convert the data into a form suitable for the point-biserial correlation (use X for eating concern score and let 1 male). Gender Male X (Eating Concern Score) 39 27 35 19 54 57 32 53 49 41 35 36 48 Female Calculate the point-biserial correlation for these data. (Use two decimal places for the SS and SP values, three decimal places for r.) SSy SP

Explanation / Answer

Here we will calculate the pearson correlation coefficient

x = 543

y = 6

SSx = x2 - (x)2/n = 22857 - 5432/ 14 = 1796.36

SSy = y2 - (y)2/n = 6 - 62/14 = 3.43

xy = 186

SP = SSxy = xy - xy/n = 186 - 543 * 6/14 = -46.7143

Correlation coefficient r = SSxy / sqrt [SSxxSSyy] = -46.7143/ sqrt (1796.36 * 3.43)) = -0.723

x y x^2 y^2 xy Male 22 1 484 1 22 44 1 1936 1 44 39 1 1521 1 39 27 1 729 1 27 35 1 1225 1 35 19 1 361 1 19 Female 54 0 2916 0 0 57 0 3249 0 0 32 0 1024 0 0 53 0 2809 0 0 49 0 2401 0 0 41 0 1681 0 0 35 0 1225 0 0 36 0 1296 0 0 Sum 543 6 22857 6 186

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