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A study investigating the relationship between weight x (in hundreds of pounds)

ID: 3394511 • Letter: A

Question

A study investigating the relationship between weight x (in hundreds of pounds) and the fuel economy y(in miles per gallon) of 50 randomly selected new light vehicles yielded r = -0.87, and the regression equation: y-hat = -0.82x +48.7. For each additional 100 pounds in weight, the average fuel economy is predicted to

Note: y-hat represents the predicted y-value or the symbol for the predicted y in regression A decrease by 0.87 B decrease by 0.82 C increase by 0.82 D increase by 0.87 E estimated change can not be estimated with information given

Explanation / Answer

change by (-0.82) = decrease by 0.82