3. Consider the following table. 1.6 2.4 3.0 4.7 2.1 6.841 8.794 9.921 12.147 3.65 4.25 14.436 16.318 17.743 Y 5.6 20.416 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Consider the following table.
1.6
2.1
2.4
3.65
4.25
4.7
X₂
Yi
6.841 8.794 9.921
3.0
12.147
5.6
20.416
14.436
16.318 17.743
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:3. Consider the following table. 1.6 2.1 2.4 3.65 4.25 4.7 X₂ Yi 6.841 8.794 9.921 3.0 12.147 5.6 20.416 14.436 16.318 17.743 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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