Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing the sum of squares, S, given by S=(a+b)^2+(16a+b−4)^2+(36a+b−8)^2.
Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing the sum of squares, S, given by S=(a+b)^2+(16a+b−4)^2+(36a+b−8)^2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 2E
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Help meFind the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing the sum of squares, S, given by S=(a+b)^2+(16a+b−4)^2+(36a+b−8)^2.
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