Problem

Apply the stated residual-comparison rule to \(A={2,2,2,2}\) and \(B={-1,0,1,0}\). Which complete response correctly applies the residual-comparison rule?

Source residual-model comparison: Priority rule: reject a model with a clear systematic residual pattern when the other has random scatter; otherwise choose smaller MAE, then smaller |mean residual| as tie-breaker. A residuals={2,2,2,2}; B={−1,0,1,0}. Which model should be selected under this rule? No MAE, mean residual, or model choice is annotated.

Answer choices

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A pattern=systematic positive bias, MAE=2, mean=2; B pattern=centered mixed signs, MAE=0.5, mean=0; priority=mixed signs are treated as worse; choice=B

A pattern=systematic positive bias, MAE=2, mean=2; B pattern=centered no clear pattern, MAE=0.5, mean=0; priority=constant error is treated as good consistency; choice=A

A pattern=systematic positive bias, MAE=2, mean=2; B pattern=centered no clear pattern, MAE=0.5, mean=0; priority=positive errors are treated as preferred; choice=A

A mean=2, MAE=2, systematic positive bias/underprediction; B mean=0, MAE=0.5, centered with no clear pattern; choice=B

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Apply the stated residual-comparison rule to \(A={2,2,2,2}\) and \(B={-1,0,1,0}\). Which complete response correctly applies the residual-comparison rule?

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