Assignment 3 - Interpolation and Curve Fitting; Due to January 07, 2012

1. Following data points are given
   

   Table 6.3: Data Points

   x	y
   0	3.5
   1	5.0
   2	7.5
   3	11.5
   4	17.5

   
   
   • 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.