📄 a151.m
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%----------------------------------------------------------------
% Example a1.5.1: Curve Fitting
%----------------------------------------------------------------
% Initialize
clc % clear command window
clear % clear variables
n = 24; % number of data points
p = 10*n; % number of plot points
b = 4; % plot range
x = linspace (0,b,n)';
y = sin(pi*x) ./ (1 + x.*x);
% Compute least-squares fits
fprintf ('Example a1.5.1: Curve Fitting\n');
for i = 1 : 3
m = 3*i - 1;
a = polyfit (x,y,m);
X(:,i) = linspace (0,b,p)';
Y(:,i) = polyval (a,X(:,i));
end
% Add data points
for j = 1 : p
k = min ([n,j]);
X(j,4) = x(k);
Y(j,4) = y(k);
end
% Graph
graphxy (X,Y,'Least Squares Polynomials','x','y','s')
%----------------------------------------------------------------
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