Q.1 Given the following data 0.050 13.00 0.074 14.60 0.089 15.00 0.10 16.20 0.14 18.23 0.16 20.11 fi evaluate a fitting polynomial using the least squares method in two ways. The first using the usual polynomial in powers of x up to first order, and the second using the orthogonal polynomials uk (x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q.1 Given the following data
X₁
fi
0.050
13.00
0.074
14.60
0.089
15.00
0.10
16.20
0.14
18.23
0.16
20.11
evaluate a fitting polynomial using the least squares method in two ways. The first using the usual
polynomial in powers of x up to first order, and the second using the orthogonal polynomials u(x).
Transcribed Image Text:Q.1 Given the following data X₁ fi 0.050 13.00 0.074 14.60 0.089 15.00 0.10 16.20 0.14 18.23 0.16 20.11 evaluate a fitting polynomial using the least squares method in two ways. The first using the usual polynomial in powers of x up to first order, and the second using the orthogonal polynomials u(x).
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