Assignment 3 - Interpolation and Curve Fitting; Due to December 14, 2007

1. Following data points are given
   

   Table 1: Data Points

   x	y
   0	1.5
   1	2.5
   2	3.5
   3	5.0
   4	7.5

   
   
   • The suggested relation is $y=Ce^{Ax}$,
   • Write a one complete program with the following capabilities;
     • Fitting with least squares method
     • Interpolating with a polynomial of order four ($P_4$)
     • Estimate the y-values for the x-values of 2.5 and 5.
     • Compare your estimated values from both methods.
   • Hints: You need to linearize the formula for the least squares method. You can make use of code segments (not as a full program) of previous lab studies.