12. (Strang 4.3.1, 5) Consider the four points (t;, b;): (0,0), (1,8), (3, 8), and (4, 20). (a) Set up and solve the system of equations A" Aî = line, b = c+ dt. What are the errors for each point relative to the best fit line? (b) Find the best fit horizontal line, b= c; again, set up and solve a system of equations AT AÎ = ATb, but think carefully about what A is. What are the errors for each ATb in order to find the best fit %3D %3D %3D
12. (Strang 4.3.1, 5) Consider the four points (t;, b;): (0,0), (1,8), (3, 8), and (4, 20). (a) Set up and solve the system of equations A" Aî = line, b = c+ dt. What are the errors for each point relative to the best fit line? (b) Find the best fit horizontal line, b= c; again, set up and solve a system of equations AT AÎ = ATb, but think carefully about what A is. What are the errors for each ATb in order to find the best fit %3D %3D %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:12. (Strang 4.3.1, 5) Consider the four points (t;, b;): (0,0), (1,8), (3, 8), and (4, 20).
(a) Set up and solve the system of equations AT Aî = A"b in order to find the best fit
line, b = c+ dt. What are the errors for each point relative to the best fit line?
(b) Find the best fit horizontal line, b = c; again, set up and solve a system of equations
AT Aâ = ATb, but think carefully about what A is. What are the errors for each
point relative to this best fit line.
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