A6 Assume that least squares regression is used to fit a regression line y = â + 3x to data (xi, yi) for i=1,2,..., n. The sample means of the x, and yi area and y, respectively. The variability of the y about the regression line equals o2. Which of the following expressions would be a suitable estimate for o²? A: 1 n- 1 n i=1 (y₁ - y)² 1 n-2 n B: 0² Σ(x − x)2 D: Σ(y₁ -â- Bx₂)² i=1 n

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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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A6 Assume that least squares regression is used to fit a regression line y = â + 3x to data
(xi, yi) for i=1,2,..., n. The sample means of the x; and yi are and y, respectively.
The variability of the y; about the regression line equals 2. Which of the following
expressions would be a suitable estimate for o²?
A:
1
n-
1
n
Σ(y₁ - y)²
i=1
D:
1
n-2
n
i=1
B:
0²
Σï-₁(Xi − x)²
(Yi - â – Bx₂)²
n
Transcribed Image Text:A6 Assume that least squares regression is used to fit a regression line y = â + 3x to data (xi, yi) for i=1,2,..., n. The sample means of the x; and yi are and y, respectively. The variability of the y; about the regression line equals 2. Which of the following expressions would be a suitable estimate for o²? A: 1 n- 1 n Σ(y₁ - y)² i=1 D: 1 n-2 n i=1 B: 0² Σï-₁(Xi − x)² (Yi - â – Bx₂)² n
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