[Bo] B₁ B₂ LB3. Ho: 200-3B1 + B₂ = 5B₂ - Bo - 2B3 = P3 + 2B₁ = 0. Find matrix C to express Ho in the form Ho: CB = 0. 3. For the model y = XB + ε,, B = = we test
[Bo] B₁ B₂ LB3. Ho: 200-3B1 + B₂ = 5B₂ - Bo - 2B3 = P3 + 2B₁ = 0. Find matrix C to express Ho in the form Ho: CB = 0. 3. For the model y = XB + ε,, B = = we test
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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Question
![2
{:40
%VV II.
92bb6954-6e3e-4940-a...
LoJ
a. Find XX, (XX)-¹, Xy, yy.
b. Find B, cov (B), Var (Bo), Var (B₁), cov (Bo, B₁).
c. Find SSE.
1 3]
3. For the model y = XB + E,, B =
Yij = μ + α₁ + ßj + εij
твот
B₁
B₂
LB3-
4. For the additive (no-interaction) model
Ho: 200-3B1 + B₂ = 5B₂-B0-2B3 = B3 + 2B₁ = 0.
Find matrix C to express Ho in the form Ho: CB = 0.
a. Find designed matrix X and XX.
b. Determin rank of X and XX.
X
we test
i = 1,2,3,4 and j = 1,2
If we wright the 8 observations in the matrix form
μ
α₁
α₂
y = XB + ε when ßa3
α4
[ε4]
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb3963ff-d7bd-40ff-82ca-f7552015f1bb%2F9aa0f2c0-1d7b-417f-803d-e52c3765baa6%2Fl499tl_processed.png&w=3840&q=75)
Transcribed Image Text:2
{:40
%VV II.
92bb6954-6e3e-4940-a...
LoJ
a. Find XX, (XX)-¹, Xy, yy.
b. Find B, cov (B), Var (Bo), Var (B₁), cov (Bo, B₁).
c. Find SSE.
1 3]
3. For the model y = XB + E,, B =
Yij = μ + α₁ + ßj + εij
твот
B₁
B₂
LB3-
4. For the additive (no-interaction) model
Ho: 200-3B1 + B₂ = 5B₂-B0-2B3 = B3 + 2B₁ = 0.
Find matrix C to express Ho in the form Ho: CB = 0.
a. Find designed matrix X and XX.
b. Determin rank of X and XX.
X
we test
i = 1,2,3,4 and j = 1,2
If we wright the 8 observations in the matrix form
μ
α₁
α₂
y = XB + ε when ßa3
α4
[ε4]
>
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