(1) Consider the following observation model b₁=₁+13+ b₂ = 12-213+n₂ b3 = 21-423 +723 b₁ = 21+223 +n4 where [b₁ = 1 b₂ = 5 b3 = 3 b4 = 4]. What is the least square estimate of x = [11, 12, 13]? (a) x= [2.04, 4.52, -0.24] (b) x=2.04 (c) x = 6.45 (d) x= [6.45, 4.52, -0.85]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(1)
Consider the following observation model
b₁=₁+13+1
b₂ = 12-213+ n₂
b3 = 21-423 +723
b4=21+223 + na
where [b₁ = 1 b₂ = 5 b3 = 3 b4 = 4]. What is the least square estimate of x = [11, 12, 13]?
(a) x= [2.04, 4.52, -0.24]
(b) x=2.04
(c) x = 6.45
(d) x= [6.45, 4.52, -0.85]
Transcribed Image Text:(1) Consider the following observation model b₁=₁+13+1 b₂ = 12-213+ n₂ b3 = 21-423 +723 b4=21+223 + na where [b₁ = 1 b₂ = 5 b3 = 3 b4 = 4]. What is the least square estimate of x = [11, 12, 13]? (a) x= [2.04, 4.52, -0.24] (b) x=2.04 (c) x = 6.45 (d) x= [6.45, 4.52, -0.85]
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