7
algebra

A data set has points (1,3),(2,5),(3,7)(1, 3), (2, 5), (3, 7). What is the sum of squared residuals for the model y=2x+1y = 2x + 1?

A

00

B

11

C

22

D

44

Correct Answer: A

Choice A is the correct answer. Check fit.

  1. x=1: Pred 2(1)+1=32(1)+1=3. Actual 3. Res 0.
  2. x=2: Pred 2(2)+1=52(2)+1=5. Actual 5. Res 0.
  3. x=3: Pred 2(3)+1=72(3)+1=7. Actual 7. Res 0.
  4. Sum: 02+02+02=00^2 + 0^2 + 0^2 = 0.

💡 Strategic Tip: The model fits the data perfectly.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.