# Question: An engineer wanted to determine how the weight of a

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 2011 model year.

(a) Draw a scatter diagram treating the length of the right humerus as the explanatory variable and the length of the right tibia as the response variable.

(b) Compute the linear correlation coefﬁcient between the length of the right humerus and the length of the right tibia.

(c) Does a linear relation exist between the length of the right humerus and the length of the right tibia?

(d) Convert the data to inches (1 mm = 0.03937 inch), and recompute the linear correlation coefﬁcient. What effect did the conversion from millimeters to inches have on the linear correlation coefﬁcient?

(a) Draw a scatter diagram treating the length of the right humerus as the explanatory variable and the length of the right tibia as the response variable.

(b) Compute the linear correlation coefﬁcient between the length of the right humerus and the length of the right tibia.

(c) Does a linear relation exist between the length of the right humerus and the length of the right tibia?

(d) Convert the data to inches (1 mm = 0.03937 inch), and recompute the linear correlation coefﬁcient. What effect did the conversion from millimeters to inches have on the linear correlation coefﬁcient?

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