Each year J.D. Power and Associates surveys new car owners 90 days after they purchase their cars. This data is used to rate auto brands (such as Toyota and Ford) on quality and customer satisfaction. USA TODAY (usatoday.com, March 29, 2016) reported a quality rating and a satisfaction score for all 33 brands sold in the United States.

a. Construct a scatterplot of y = Satisfaction rating versus x = Quality rating. How would you describe the relationship between x and y?

b. Calculate and interpret the value of the correlation coefficient.

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Brand Quality Rating APEAL Rating Acura 64 814 Audi 80 858 BMW 76 849 Buick 74 792 Cadillac 58 826 Chevrolet 64 791 Chrysler Dodge 58 783 58 790 Fiat 38 768 Ford 66 789 GMC 60 791 Honda 71 783 Hyundai 70 804 Infiniti 63 826 Jeep 43 762 Kia 72 791 Land Rover 55 853 Lexus 76 844 Lincoln 65 835 Mazda 74 790 Mercedes-Benz 67 842 MINI 68 795 Mitsubishi 51 748 Nissan 63 786 Porsche 76 882 Scion 65 779 Subaru 78 766 Toyota Volkswagen 72 783 67 796 Volvo 69 812