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i=1 6. (a) Given a collection of data points {(x₁, yi)}₁ find the best least squares approx- imation of the form y = ax + bx². (b) Use this approximation to fit the data in Table 2. (c) Find the error in the least squares approximation. Xi 1 2 3 4 Yi 3.1 9.8 21.2 36.1 Table 2:

i=1 6. (a) Given a collection of data points {(x₁, yi)}₁ find the best least squares approx- imation of the form y = ax + bx². (b) Use this approximation to fit the data in Table 2. (c) Find the error in the least squares approximation. Xi 1 2 3 4 Yi 3.1 9.8 21.2 36.1 Table 2:

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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math —— Numerical analysis problems
i=1 6. (a) Given a collection of data points {(xi, yi)}₁ find the best least squares approx- imation of the form y = ax + bx². (b) Use this approximation to fit the data in Table 2. (c) Find the error in the least squares approximation. Xi 1 2 3 4 Yi 3.1 9.8 21.2 36.1 Table 2:
Transcribed Image Text:i=1 6. (a) Given a collection of data points {(xi, yi)}₁ find the best least squares approx- imation of the form y = ax + bx². (b) Use this approximation to fit the data in Table 2. (c) Find the error in the least squares approximation. Xi 1 2 3 4 Yi 3.1 9.8 21.2 36.1 Table 2:
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