3.42 ● The accompanying table gives the cost and an overall quality rating for 10 different brands of men’s athletic shoes and nine different brands of women’s athletic shoes (www.consumerreports.org).

Cost Rating Type 65 71 Men’s 45 70 Men’s 45 62 Men’s 80 59 Men’s 110 58 Men’s 110 57 Men’s 30 56 Men’s 80 52 Men’s 110 51 Men’s 70 51 Men’s 65 71 Women’s 70 70 Women’s 85 66 Women’s 80 66 Women’s 45 65 Women’s 70 62 Women’s 55 61 Women’s 110 60 Women’s 70 59 Women’s

a. Using the data for all 19 shoes, construct a scatterplot using y 5 quality rating and x 5 cost. Write a sentence describing the relationship between quality rating and cost.

b. Construct a scatterplot of the 19 data points that uses different colors or different symbols to distinguish the points that correspond to men’s shoes from those that correspond to women’s shoes. How do men’s and women’s athletic shoes differ with respect to cost and quality rating?

c. Are the relationships between cost and quality rating the same for men and women? If not, how do the relationships differ?