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.

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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A: The answer to the following question:-

Question

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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