Strong association but no correlation. The gas mileage of an automobile firstincreases

Chapter 0, Problem 4.11

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Strong association but no correlation. The gas mileage of an automobile firstincreases and then decreases as the speed increases. Suppose that this relationshipis very regular, as shown by the following data on speed (miles per hour) andmileage (miles per gallon):Speed 20 30 40 50 60MPG 24 28 30 28 24Make a scatterplot of mileage versus speed. Show that the correlation betweenspeed and mileage is r = 0. Explain why the correlation is 0 even though there isa strong relationship between speed and mileage.

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