Question 1 [40 marks] Suppose the following data, collected in a certain experiment, is to be used to determine the underlying function, f(.1:) and to use it to approximate the value f (0.25). i 0 1 2 3 xi 1 {}.5 0 0.5 fr 0 . 86199480 995802009 1.0986123 1.2943767 Question 2 [35] marks Suppose the same data in Question 1 is to be used to approximate the value of f(0.25) using least squares methods as indicated below. (2.1) Use the linear least squares polynomial and compute the error. (5) (2.2) Use the least squares polynomial of degree 2 and compute the error. (10) (2.3) Use the least squares approximation of the form be\" and compute the error. (7)