Each year a market research company 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. Suppose the following were the quality rating and satisfaction scores for 30 brands sold in the United States.BrandQuality RatingSatisfaction RatingAcura64814Audi80863BMW76849Buick74792Cadillac58826Chevrolet64791Chrysler58783Dodge58790Fiat38768Ford66789GMC60791Honda71783Hyundai70804Infiniti63821Jeep43762Kia72791LandRover55858Lexus76844Lincoln65835Mazda74790Mercedes-Benz67842MINI68795Mitsubishi51748Nissan63786Porsche76882Scion65779Subaru78766Toyota72783Volkswagen67796Volvo69812(a)Construct a scatterplot of y = satisfaction rating versus x = quality rating.A scatterplot has 30 points.The horizontal axis is labeled "x" and has values from 35 to 85. The vertical axis is labeled "y" and has values from 740 to 885.The points are plotted in an upward curved pattern starting in the bottom left corner of the diagram and ending in the upper right corner of the diagram.There is only a small amount of variation about the trend.A scatterplot has 30 points.The horizontal axis is labeled "x" and has values from 35 to 85. The vertical axis is labeled "y" and has values from 740 to 885.The points are plotted in an downward diagonal pattern starting in the upper left corner of the diagram and ending in the bottom right corner of the diagram.There is only a small amount of variation about the trend.A scatterplot has 30 points. The horizontal axis is labeled "x" and has values from 35 to 85. The vertical axis is labeled "y" and has values from 740 to 885.The points are plotted in a roughly increasing diagonal pattern starting in the bottom left corner of the diagram and ending in the upper right corner of the diagram.There is a large amount of variation about the trend.A scatterplot has 30 points.The horizontal axis is labeled "x" and has values from 35 to 85. The vertical axis is labeled "y" and has values from 740 to 885.The points are plotted in an upward curved pattern starting in the bottom left corner of the diagram, becoming more steep to the right, and reaching a maximum over approximately 66 on the horizontal axis. Moving to the right the points are plotted in a downward diagonal pattern ending in the bottom left corner.There is only a small amount of variation about the trend.
How would you describe the relationship between x and y?There is a moderate negative linear relationship between quality rating and satisfaction rating.There is a strong negative linear relationship between quality rating and satisfaction rating.There is a strong positive linear relationship between quality rating and satisfaction rating.There is a curved relationship between quality rating and satisfaction rating.There may be a weak positive linear relationship between quality rating and satisfaction rating.(b)Calculate the value of the correlation coefficient. (Round your answer to three decimal places.)r =Interpret this value.There is no correlation between quality rating and satisfaction rating.There is a weak negative linear relationship between quality rating and satisfaction rating.There is a strong negative linear relationship between quality rating and satisfaction rating.There is a weak positive linear relationship between quality rating and satisfaction rating.There is a strong positive linear relationship between quality rating and satisfaction rating.
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