Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations form and c, determining the least squares fit of the data, y=mx+c. m nΣx₁ + Nc = Σy₁ i=1 i=1 m[x² + c [x₂ = [x₂] i=1 i=1 i=l i 1 2 3 4 5 Sum x y 10 20 30 40 50 x² 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 form and c, determining the least squares fit of the data, y=mx+c. m nΣx₁ + Nc = Σy₁ i=1 i=1 m[x² + c [x₂ = [x₂] i=1 i=1 i=l i 1 2 3 4 5 Sum x y 10 20 30 40 50 x² 33 51 67 89 102 Figure 2 xy
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: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
nΣx₂ + Nc = Σy₁
i=1
i=1
mΣx² + c{x₁ = {X/Y;
i=1
i=1
i=1
i
1
2
3
4
5
Sum
X
10
20
30
40
50
y
x²
33
51
67
89
102
Figure 2
xy
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