6
algebra

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

A

(10,20)(10, 20)

B

(2,9)(2, 9)

C

(4,8)(4, 8)

D

(0,10)(0, 10)

Correct Answer: A

Choice A is the correct answer. Check residuals.

  1. Predicted for x=10: y=−0.5(10)+10=5y = -0.5(10) + 10 = 5.
  2. Actual: 20.
  3. Difference: 20−5=1520 - 5 = 15. Huge difference!
  4. Check B: Pred y=9y=9. Actual 9. Perfect.
  5. Check C: Pred y=8y=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.

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Linear Functions Set 97