Question

Consider the following data: x : -7, -5, -1, 0, 2, 5, 6, .y: 15, 12 ,5, 2, 0, -5, -9. Using linear regression find the equation in the form y=mx+b.  b) Check your results for the coefficients in the trial function using a built-in function in Matlab, Python, or Mathematica. c) Plot the data points as dots and the best-fit line as a solid line on the same figure.

Answer 1

MatLab program

clear all
clc
close all
% given data
x=[-7 -5 -1 0 2 5 6];
y=[15 12 5 2 0 -5 -9];
% fitting
p=polyfit(x,y,1);
m=p(1);
c=p(2);
% fitted data
x1=x;
y1=m*x1+c;
plot(x,y,'o',x1,y1)
xlabel('x');
ylabel('y');
legend('given data','plotted data')
fprintf('best fit line is %.4fx+%.4f',m,c);

Screenshot

Save the above program and execute it.

Result

I hope this will help you.