compute the best fitting (in the sense of least squares method) function of the form f(t)=at+b t=[6 8 -5 -5 6 3] f=[-1 6 5 -7 -7 3] calculate value at -13/2 in matlab

To compute the best fitting function (in the sense of least squares method) of the given data, we can use the polyfit function in Matlab. This function fits a polynomial of degree n to the data using a least-squares approach.

Here's how you can use polyfit to solve the problem and calculate the value at -13/2:

main.m
t = [6 8 -5 -5 6 3];
f = [-1 6 5 -7 -7 3];
n = 1; % degree of polynomial
p = polyfit(t,f,n); % coefficients of best-fit polynomial
x = -13/2;
y = polyval(p,x); % evaluate polynomial at x
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The output value of y would be the best-fit value of the function for x = -13/2.

Note: In this case, a linear function is being fit, so the degree of the polynomial is 1. If you want to fit a different degree polynomial, you can change the value of n in the code.