The goal is to represent the following data series using an interpolation function.

a) Interpolate the data series by polynomial interpolation for polynomials of degrees 1 to 4. What do you have to do with the data of the series in order to be able to complete the task? Set the data points and the approximation functions graphically. Which polynomial best approximates the data series?

b) Approximate the data series using the least squares method. Choose ? = ? ? ?? as the approximation function. Plot the data points as well as the approximation functions graphically.

c) Compare the approximations according to a) and b). Which method is better?