Question 2 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. mΣx₁ + Nc = Ży *Σ* *Σ* -Ź** X² y xy Q i 1 2 345 5 Sum X 10 20 30 40 50 33 51 67 89 102 Figure 2 V CI 8 x%

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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W
Question 2
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.
m
x+Nc=y
i=1
i=1
N
[x² + c £x
i=1
i=1
W
H
N
x₁ = Σ x,y;
X
y
x²
xy
1
10
33
2
20
51
3
30
67
UG
40
89
5
50
102
Sum
Figure 2
4.
mEx
W
4x D
Transcribed Image Text:W Question 2 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. m x+Nc=y i=1 i=1 N [x² + c £x i=1 i=1 W H N x₁ = Σ x,y; X y x² xy 1 10 33 2 20 51 3 30 67 UG 40 89 5 50 102 Sum Figure 2 4. mEx W 4x D
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