1. Consider the following table. xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 195.14 224.87 6.3 256.73 Y₁ 102.56 113.18 130.1178 142.05 167.53 a) Construct the least squares polynomial of degree 4 and compute the error. b) Construct the least squares approximation of the form be ax, and compute the error.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.1: Review Of Differential Calculus
Problem 1P
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1. Consider the following table.
xi
4.0
4.2
4.5
4.7
5.1
5.5
5.9
6.3
256.73
Y₁
102.56 113.18 130.1178 142.05 167.53
195.14 224.87
a) Construct the least squares polynomial of degree 4 and compute the error.
b) Construct the least squares approximation of the form be ax, and compute the
error.
Transcribed Image Text:1. Consider the following table. xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 256.73 Y₁ 102.56 113.18 130.1178 142.05 167.53 195.14 224.87 a) Construct the least squares polynomial of degree 4 and compute the error. b) Construct the least squares approximation of the form be ax, and compute the error.
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