Question 2. An engineer wants 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. (Using Excel) Car Buick Lacrosse Cadillac XTS Chevrolet Cruze Chevrolet Impala Chrysler 300 Dodge Charger Dodge Dart Ford Focus Ford Mustang Lincoln MKZ Weight(lb) 4724 4006 3097 3555 4029 3934 3242 2960 3530 3823 Miles per Gallon 17 18 22 19 19 19 24 26 19 18 a) Determine which variable is the likely explanatory variable and which is the likely response variable. b) Draw a scatter diagram of the data. (Add the axis title) c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon in the city. (4 decimal) d) Does a linear relation exist between the weight of a car and its miles per gallon in the city? Why? e) Suppose that we add the Ford Fusion Hybrid to the data. A Fusion Hybrid weight 3639 pounds and gets 44 miles per gallon. Redraw the scatter diagram with the Fusion included. f) compute the linear correlation coefficient again with the Fusion included. (4 decimal) g) How did adding this data point affect your result? h) Why does this observation not follow the pattern of the data?

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