Problem

Apply the stated residual-comparison rule to \(A={-3,-3,-2,-4}\) 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={−3,−3,−2,−4}; 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 mean=-3, MAE=3, systematic negative bias/overprediction; B mean=0, MAE=0.5, centered with no clear pattern; choice=B

A pattern=systematic negative bias, MAE=3, mean=−3; B pattern=centered mixed signs, MAE=0.5, mean=0; priority=mixed signs are treated as worse; choice=B

A pattern=systematic negative bias, MAE=3, mean=−3; B pattern=centered no clear pattern, MAE=0.5, mean=0; priority=negative residuals are treated as accurate; choice=A

A pattern=systematic negative bias, MAE=3, mean=−3; B pattern=centered no clear pattern, MAE=0.5, mean=0; priority=similar errors are treated as good consistency; choice=A

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Apply the stated residual-comparison rule to \(A={-3,-3,-2,-4}\) and \(B={-1,0,1,0}\). Which complete response correctly applies the residual-comparison rule?

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