(3,7.148), (5,10.231). (8. 13.509), (12, 16.434) uct the Least square quadratic approximation to the function y(x) = Sinx on [0, n/2] %3!

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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solve both compulsory

(a) Using the method of least square, fit a curve of the form y =
to the following data
a+bx
(3,7.148), (5,10.231), (8, 13.509), (12, 16.434)
(b) Construct the Least square quadratic approximation to the function y(x) = Sinx on [0, n/2]
with respect to the weight function w(x) =1
Transcribed Image Text:(a) Using the method of least square, fit a curve of the form y = to the following data a+bx (3,7.148), (5,10.231), (8, 13.509), (12, 16.434) (b) Construct the Least square quadratic approximation to the function y(x) = Sinx on [0, n/2] with respect to the weight function w(x) =1
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