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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4PPS
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed029406-a1c1-473f-a3a0-6fd0fbd8e89d%2F88f1dfb1-f6e6-4361-ab12-2a972ee0fb9f%2F4emqb3o_processed.jpeg&w=3840&q=75)
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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