Cost Vs Number of Iterations in Gradient Descent | MATLAB

Prerequisite:

Gradient Descent in Linear Regression | MATLAB

%Code:

clc

clear all

close all

format long

figure;

x=[1,2,3,4,5];

y=[5,7,9,11,13];

m=0;

c=0;

slope=[];

plot(x,y,'bo','linewidth',3);

hold on;

axis([-1 10 0 15]);

cost=[];

intercept=[];

for h=1:10000

predicted=m*x+c;

s=y-predicted;

w=((sum(-2*x.*s))/length(x))*0.08;

m=m-w;

slope=[slope m];

w=((sum(-2*s))/length(x))*0.08;

c=c-w;

intercept=[intercept c];

 e=m*x+c;

 costa=(1/length(x))*sum(s.^2);

 cost=[cost costa];

end

plot(x,m*x+c,'k','linewidth',3);

axis([-1 10 0 15]);

e=[slope' intercept' cost'];

figure;

h=1:10000;

plot(h(1:200),cost(1:200));

xlabel('Iteration');

ylabel('Cost or mean square error');

title('Cost Function');

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