a. Define each of the following extra sums of squares: (i) (ii) (iii) SSR(B5 B1, Bo) SSR(B3, B4B1, Bo) SSR(B4 Bo, B1, B2, B3)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
Problem 5OE
Question
a. Define each of the following extra sums of squares:
(i)
(ii)
(iii)
SSR(B501, 50)
SSR B3, B4 B1, Bo)
SSR(B4 Bo, B1, B2, B3)
Transcribed Image Text:a. Define each of the following extra sums of squares: (i) (ii) (iii) SSR(B501, 50) SSR B3, B4 B1, Bo) SSR(B4 Bo, B1, B2, B3)
b. Show that:
(i)
(ii)
SSR(BO, B₁, B2, B3, B4) = SSR(B₁, Bo) + SSR(B2, B3|B1, Bo) + SSR(B₁|Bo, B₁, B2, B3)
SSR BO, B1, B2, B3, B4) = SSR(B2, B3) + SSR (B0, B1 B2, B3) + SSR (B4B0, B₁, B2, B3)
Transcribed Image Text:b. Show that: (i) (ii) SSR(BO, B₁, B2, B3, B4) = SSR(B₁, Bo) + SSR(B2, B3|B1, Bo) + SSR(B₁|Bo, B₁, B2, B3) SSR BO, B1, B2, B3, B4) = SSR(B2, B3) + SSR (B0, B1 B2, B3) + SSR (B4B0, B₁, B2, B3)
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