# Question about Fourier Series : Least-Squares Approximation and Mean Square Error

4. (a). Find the least squares approximation of e^x over the interval [0,1] by a polynomial of the form ao+a1x.

(b). Find the mean square error of the approximation.

#### Solution Summary

Fourier Series, Least-Squares Approximation and Mean Square Error are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.