Complete the table shown in Figure 2 for the N= 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. mΣx, + Nc £x₁ + Nc = £ y₁ m{x} +cĚx, = {x,y,

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 29EQ
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I've attatched Figure 2 

i
1
2
3
4
5
Sum
X
10
20
30
40
50
y
33
51
67
89
102
Figure 2
xy
Transcribed Image Text:i 1 2 3 4 5 Sum X 10 20 30 40 50 y 33 51 67 89 102 Figure 2 xy
Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the
following system of equations for m and c, determining the least squares fit of the
data, y=mx+c.
mΣx, + Nc = £y;
H
N
[x² +cΣx₁ = {x,y,
-
m
Transcribed Image Text:Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. mΣx, + Nc = £y; H N [x² +cΣx₁ = {x,y, - m
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