Set 8: Linear Functions (Advanced)

Explanation

Answer: A

The line of best fit for a dataset is $y = -0.5x + 10$ . Which point is most likely an outlier?

$(10, 20)$

✓ Correct

$(2, 9)$

$(4, 8)$

$(0, 10)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check residuals. 1. Predicted for x=10: $y = -0.5(10) + 10 = 5$ . 2. Actual: 20. 3. Difference: $20- 5 = 15$ . Huge difference! 4. Check B: Pred $y=9$ . Actual 9. Perfect. 5. Check C: Pred $y=8$ . Actual 8. Perfect. Strategic Tip: An outlier is far from the predicted line. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $(10, 20)$

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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