Linear Regression using correlation & Standard Deviation | MATLAB

%Linear Regression using correlation & Standard Deviation

clc

clear all

close all

format bank

x=[1 2 4 3 5];

a1=mean(x);

z=[];

for i=1:length(x)

    z=[z (x(i)-a1)^2];

end

s1=sum(z);

s1=s1/(length(x)-1);

s1=sqrt(s1);

y=[1 3 3 2 5];

a2=mean(y);

z=[];

for i=1:length(y)

    z=[z (y(i)-a2)^2];

end

s2=sum(z);

s2=s2/(length(x)-1);

s2=sqrt(s2);

x=x-a1;

y=y-a2;

ak=x*y';

cova=ak/(length(x)-1);

corr=cova/(s1*s2);

slope=corr*s2/s1;

intercept=a2-slope*a1;