Find the least squares line for data (1,1), (2,1.5),(3,3),(4,4.5),(5,5). Question. Identify the AT (A Transpose) matrix. A = A = 1 [1₁ 2 1 2 1 A = 3 1 4 1 5 1 1 in 3 4 1.5 3 3 4.5 4.5 [1 2 2 1.5 A = 3 3 4 4.5 34 1 1 1 1 10 1 5 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Advanced Math - least squares line

Choose the answer to the following question.

Find the least squares line for data (1,1), (2,1.5),(3,3),(4,4.5),(5,5).
Question. Identify the AT (A Transpose) matrix.
A =
A =
[1
1
1
2 1
A = 3 1
4 1
5 1
A = 3
2 3
1.5 3
3
[1 2
1
2 1.5
3
4 4.5
5
34
1 1 1 1
5
4
5
4.5
4.5 5
1
Transcribed Image Text:Find the least squares line for data (1,1), (2,1.5),(3,3),(4,4.5),(5,5). Question. Identify the AT (A Transpose) matrix. A = A = [1 1 1 2 1 A = 3 1 4 1 5 1 A = 3 2 3 1.5 3 3 [1 2 1 2 1.5 3 4 4.5 5 34 1 1 1 1 5 4 5 4.5 4.5 5 1
Find the least squares line for data (1,1),
Question. Identify the equation we are trying to solve.
Of(x) = ax + b
f(x) = ax³ + bx² + cx + d
(2,1.5),(3,3),(4,4.5),(5,5).
O f(x) = ax² + bx + c
Transcribed Image Text:Find the least squares line for data (1,1), Question. Identify the equation we are trying to solve. Of(x) = ax + b f(x) = ax³ + bx² + cx + d (2,1.5),(3,3),(4,4.5),(5,5). O f(x) = ax² + bx + c
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