Define strong relationship between speed and mileage

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Question: Strong association but no correlation. The gas mileage of an automobile first increases and then decreases as the speed increases. Suppose that this relationship is very regular, as shown by the following data on speed (miles per hour) and mileage (miles per gallon):

Speed        30     40     50    60     70

Mileage      20     24     26    24     20     

Make a scatterplot of mileage versus speed. Use a calculator to show that the correlation between speed and mileage is r = 0. Explain why the correlation is 0 even though there is a strong relationship between speed and mileage.

Reference no: EM131638436

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