A statician reported that there is positive associationbetween car weight and th

Question

A statician reported that there is positive associationbetween car weight and the gasoline volume a car use per 100km.Approximately 44% of the higher gas usage can be explained by theheavier weight of a car. What was the approximate value of thecorrelation coefficient r in this study? Can you please help me solve this problem? thank you ! A statician reported that there is positive associationbetween car weight and the gasoline volume a car use per 100km.Approximately 44% of the higher gas usage can be explained by theheavier weight of a car. What was the approximate value of thecorrelation coefficient r in this study? Can you please help me solve this problem? thank you !

Explanation / Answer

The sentence "Approximately 44% of the higher gas usage can be explained by the heavier weight of a car" translates to 44% of the variation in gas usage is explained by car weight.  This is equivalent to saying r^2 = .44.  Thus, r = sqrt(r^2) = .663

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