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 (lb) Miles per Gallon Buick LaCrosse 4724 17 Cadillac XTS 4006 18 Chevrolet Cruze 3097 22 Chevrolet Impala 3555 19 Chrysler 300 4029 19 Dodge Charger 3934 19 Dodge Dart 3242 24 Ford Focus 2960 26 Ford Mustang 3530 19 Lincoln MKZ 3823 18 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?

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