Question

Fit a linear function of the form f(t) = c₀ +c₁t to the data points

(0,3), (1,3), (1,6), using least squares.

Rate within 12hrs.

Thanks.

Answer 1

The points give the three equations: , , and .

Rewriting this as a matrix equation we get: Ax=B with, , and .

Least Squares method says that solving the matrix equation will give you your approximate values for c0,c1.

   and so we get

Subtracting row two from row 1 the top equation becomes. Very quickly back-substitution yields or . Your best fit function is then