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Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following, use these data points to find the best fit polynomial of degree 2 by using the QR-decomposition method: Compute Rx and QTb, where x = (ao a1 a2) which are the coefficients of the polynomial p2(x). Using the above result, find the values of ao, a₁ and a2, and write the polynomial p2(x).

Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following, use these data points to find the best fit polynomial of degree 2 by using the QR-decomposition method: Compute Rx and QTb, where x = (ao a1 a2) which are the coefficients of the polynomial p2(x). Using the above result, find the values of ao, a₁ and a2, and write the polynomial p2(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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using numerical method concept 

1. Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following, use these data points to find the best fit polynomial of degree 2 by using the QR-decomposition method: (d) O Compute Rx and QTb, where x = (ao a1 a2) which are the coefficients of the polynomial p2(x). Using the above result, find the values of ao, a₁ and a2, and write the polynomial p2(x).
Transcribed Image Text:1. Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following, use these data points to find the best fit polynomial of degree 2 by using the QR-decomposition method: (d) O Compute Rx and QTb, where x = (ao a1 a2) which are the coefficients of the polynomial p2(x). Using the above result, find the values of ao, a₁ and a2, and write the polynomial p2(x).
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