# Question

Miles per Gallon Suppose that we add the Ford Taurus to the data in Problem 29. A Ford Taurus weighs 3305 pounds and gets 19 miles per gallon.

(a) Redraw the scatter diagram with the Taurus included.

(b) Recompute the linear correlation coefﬁcient with the Taurus included.

(c) Compare the results of parts (a) and (b) with the results of Problem 29. Why are the results here reasonable?

(d) Now suppose that we add the Ford Fusion Hybrid to the data in Problem 29 (remove the Taurus). A Fusion Hybrid weighs 3720 pounds and gets 41 miles per gallon. Redraw

the scatter diagram with the Fusion included. What do you notice?

(e) Recompute the linear correlation coefﬁcient with the Fusion included. How did this new value affect your result?

(f) Why does this observation not follow the pattern of the data?

(a) Redraw the scatter diagram with the Taurus included.

(b) Recompute the linear correlation coefﬁcient with the Taurus included.

(c) Compare the results of parts (a) and (b) with the results of Problem 29. Why are the results here reasonable?

(d) Now suppose that we add the Ford Fusion Hybrid to the data in Problem 29 (remove the Taurus). A Fusion Hybrid weighs 3720 pounds and gets 41 miles per gallon. Redraw

the scatter diagram with the Fusion included. What do you notice?

(e) Recompute the linear correlation coefﬁcient with the Fusion included. How did this new value affect your result?

(f) Why does this observation not follow the pattern of the data?

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