Question

4. Use MATLAB or Scilab to implement linear regression, and plot the points and the curve for the following data sets. x [018 12 27) and y [12345 Input: (copy and paste the MATLAB or Sclab commandin the folowing bax) cic X1-101 8 12 271: Y1-11 234 5] Y-transpose(Y1) for n-1:5 X(n,2)-X1(n) end format long ycalc-S(2) X+S(1); scatter(X1,Y1) hold on plot(X,ycalc) xlabel(X) ylabel(Y) title('Linear Regression Relation Between XandY) Output:(copy and paste the output in the following box)

i got it incomplete

sorry I put this by mistake. can this be canceled?

Answer 1

Please find the required script as the following:

%=============================================

clear all;
clc;

x = [0 1 8 12 27]';
y = [1 2 3 4 5]';

x_aug = [ones(length(x),1) x];

b = x_aug\y; % Coefficients of linear regression

y_calc = x_aug * b;

figure
scatter(x,y);
hold on
plot(x,y_calc,'-+');
xlabel('x-values')
ylabel('y-values')
title('Linear regression');
legend('Original data','Linear Fit');
grid on

%=============================================

The fitted linear regression line is as the following:

y = (0.1362)2 + 1.6924

The output plot:

Linear regression 5.5 O Original data +- Linear Fit 4.5 4 3.5 2.5 1.5 30 20 25 10 15 x-values