x = [5 6 8 10 13 15 19 21]';
y  = [9 10 11 13 17 21 27 37]';
c_ones = [1 1 1 1 1 1 1 1]';

V = [x, c_ones]

b = V'*y
V'*V;
a = b\(V'*V)

m = a(1);
c = a(2);

x_r = linspace(min(x), max(x));
y_r = m*x_r + c;

hold on;
plot(x, y, '*')
plot(x_r, y_r)

xlabel('number of fishermen')
ylabel('fish caught') 
title('scatter plot of number of fishermen vs fish caught')

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