A7 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. What does the variance of 3 equal? A: 0² n Circle the correct letter: B: 02 Σ(ΐ - €)2 n 1 D: n-2. A i=1 C: 1 n-1 (y₁ - â - Bx₂)² B C D n Σ(y₁ - y)² i=1

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A7 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 o2. What does the variance of
3 equal?
A:
0²
n
Circle the correct letter:
B:
02
Σ1(x₁ - x)²
n
1
n-2.
D:
A
i=1
C:
1
n-1
(y₁ - â - Bx₂)²
B C D
n
Σ(y₁ - y)²
i=1
Transcribed Image Text:A7 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 o2. What does the variance of 3 equal? A: 0² n Circle the correct letter: B: 02 Σ1(x₁ - x)² n 1 n-2. D: A i=1 C: 1 n-1 (y₁ - â - Bx₂)² B C D n Σ(y₁ - y)² i=1
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