3

Set 11: Linear Functions (Intermediate)

Explanation

Answer: A

Which error is most likely if a linear model predicts a negative weight for a person of height 0?

A.

Extrapolation beyond valid domain

✓ Correct
B.

Calculation error

C.

Wrong slope sign

D.

Model is exponential

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Contextual limits. 1. Scenario: Height 0 is impossible for a person. 2. Intercept: The y-intercept often has no physical meaning if x=0x=0 is outside the data range. 3. Term: Extrapolation. Strategic Tip: Intercepts are mathematically real but contextually often meaningless. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is Extrapolation beyond valid domain

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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