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).

a. Using the data for all 19 shoes, construct a scatterplot using y = quality rating and x = 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? Are the relationships between cost and quality rating the same for men and women? If not, how do the relationships differ?

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