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Find the least squares polynomials ofdegrees 1,2, and 3 for the data in the following

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 4 Chapter 8.1

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 4

Find the least squares polynomials ofdegrees 1,2, and 3 for the data in the following table. Compute the error E in each case. Graph the data and the polynomials. x, 0 0.15 0.31 0.5 0.6 0.75 y, 1.0 1.004 1.031 1.117 1.223 1.422

Step-by-Step Solution:
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a. The fetus has only curve (thus the term, fetal position). The cervical curve begins to develop around 3-4 months of age when the baby starts to gain enough strength in order to hold up its head. Then the other curves begin to develop as the child stands and begins to walk. C. Appendicular Skeleton 1. Bones of the appendages – arms, legs, shoulders, hips 2. Consists of 126 bones. There are differences between male and female pelvises.

Step 2 of 3

Chapter 8.1, Problem 4 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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Find the least squares polynomials ofdegrees 1,2, and 3 for the data in the following