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Consider the points (x₁, y₁) (-1,6), (x2, 12) (0, -2), (x3, 13) (1,4), (X4, Y4) = (2,4). + = x + = Find the the quadratic polynomial p(x) that is the best fit for these points, in the sense that the sum of the squared errors |p(x₁) - y₁|² is as small as possible. Answer: p(x) = = x²

Consider the points (x₁, y₁) (-1,6), (x2, 12) (0, -2), (x3, 13) (1,4), (X4, Y4) = (2,4). + = x + = Find the the quadratic polynomial p(x) that is the best fit for these points, in the sense that the sum of the squared errors |p(x₁) - y₁|² is as small as possible. Answer: p(x) = = x²

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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Consider the points (x₁, y₁) (x2, Y2) (x3, 13) (X4, Y4) + = X + = = = Find the the quadratic polynomial p(x) that is the best fit for these points, in the sense that the sum of the squared errors |p(x;) — y¡|² is as small as possible. Answer: p(x) = (-1,6), (0, -2), (1,4), (2,4). x²
Transcribed Image Text:Consider the points (x₁, y₁) (x2, Y2) (x3, 13) (X4, Y4) + = X + = = = Find the the quadratic polynomial p(x) that is the best fit for these points, in the sense that the sum of the squared errors |p(x;) — y¡|² is as small as possible. Answer: p(x) = (-1,6), (0, -2), (1,4), (2,4). x²
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