Do heavier cars really use more gasoline? Suppose that a car is chosen at random. Let x be the weight of the car (in pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (vol. 62, no. 4). a. Construct a scatterplot for the data in your calculator and sketch bere. b. Calculate the equation of the line of best fit (regression equation). Label it appropriately and round to 3 decimal places... very important in this problem! c. Calculate the correlation coefficient. Label it appropriately and round to 3 decimal places. c. Calculate the correlation coefficient. Label it appropriately and round to 3 decimal places. d. Calculate the coefficient of determination. Label it appropriately and round to 3 decimal places. e. What pereentage of the variation in the miles per gallon can be explained by the line of best fit? f. Using table A-6, can we conclude that there is a linear correlation between the weights of cars and the miles per gallon of all vehicles? (Show your work) g. You have a car that weighs approximately 3800lbs. What mpg should you expect to get?
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