Set 6: Linear Functions

Explanation

Answer: A

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

$0$

✓ Correct

$1$

$2$

$4$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check fit. 1. x=1: Pred $2(1)+1=3$ . Actual 3. Res 0. 2. x=2: Pred $2(2)+1=5$ . Actual 5. Res 0. 3. x=3: Pred $2(3)+1=7$ . Actual 7. Res 0. 4. Sum: $0^2 + 0^2 + 0^2 = 0$ . Strategic Tip: The model fits the data perfectly. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $0$

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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