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Multiple Choice Question:

When two regression models applied on the same data set have the same response variable but a different number of explanatory variables, the model that would evidently provide the better fit is the one with a__________.

A. ​higher coefficient of determination and a lower adjusted coefficient of determination

B. ​lower standard error of the estimate and a higher adjusted coefficient of determination

C. ​higher standard of error of the estimate and a higher coefficient of determination

D. ​lower standard error of the estimate and a higher coefficient of determination

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