Information regarding a dependent variable y and an independent variable x is provided in the following table: | 2x = 90 Ey = 340 n = 4 SSR = 1704 S(y-y)(x-x) = = -156 Σ(x-x)² = 234 Σ(y- y)² = 1974 a. What are the least squares estimates of b0, b1? b. What are the sum of squares due to error (SSE), and the total sum of squares (SST)? c. What is the coefficient of determination?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 34EQ
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7. Information regarding a dependent variable y and an independent variable x
is provided in the following table:
Ex = 90
2y = 340
n = 4
SSR = 1704
S(y-y)(x-x) = -156
Σ(x − x)" = 234
Σ(y- y)² = 1974
a. What are the least squares estimates of b0, b1?
b. What are the sum of squares due to error (SSE), and the total sum of
squares (SST)?
c. What is the coefficient of determination?
Transcribed Image Text:7. Information regarding a dependent variable y and an independent variable x is provided in the following table: Ex = 90 2y = 340 n = 4 SSR = 1704 S(y-y)(x-x) = -156 Σ(x − x)" = 234 Σ(y- y)² = 1974 a. What are the least squares estimates of b0, b1? b. What are the sum of squares due to error (SSE), and the total sum of squares (SST)? c. What is the coefficient of determination?
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