2. Consider the following table. X₁ 0.2 0.3 0.6 0.9 1.1 1.4 1.6 1.3. 1.097 1.5698 Y₁ 0.050 0.098 0.332 0.726 1.848 2.501 a) Construct the least squares polynomial of degree 4 and compute the error.

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 57EQ
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2.
Consider the following table.
X₁
0.9
1.1
1.3
1.4
0.2
0.050
1.6
0.3
0.098
0.6
0.332
Y₁
0.726
1.097
1.5698
1.848
2.501
a) Construct the least squares polynomial of degree 4 and compute the error.
b) Construct the least squares approximation of the form beax, and compute the
error.
Transcribed Image Text:2. Consider the following table. X₁ 0.9 1.1 1.3 1.4 0.2 0.050 1.6 0.3 0.098 0.6 0.332 Y₁ 0.726 1.097 1.5698 1.848 2.501 a) Construct the least squares polynomial of degree 4 and compute the error. b) Construct the least squares approximation of the form beax, and compute the error.
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