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29. Weight of a Car versus Miles per Gallon An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weights of various domestic cars and their gas mileages in the city for the 2015 model year. Car Weight (1b) Miles per Gallon Buick Lacrosse 4724 Cadillac XT'S 4006 Chevrolet Cruze 3097 Chevrolet Impala 3555 Chrysler 300 4029 Dodge Charger 3934 Dodge Dart 3242 Ford Focus 2960 Ford Mustang 3530 Lincoln MKZ 3823 Source: Each manufacturer's website (a) Determine which variable is the likely explanatory variable and which is the likely response variable. (b) Draw a scatter diagram of the data. (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon in the city. (d) Does a linear relation exist between the weight of a car and its miles per gallon in the city