This homework continues the work in homework 2. In particular, you need to write three scripts that perform the following tasks:

1. Write a function louerror.m that computes the leave-one-out (LOU) recognition rate of a sample data set. Plot the LOU recognition rate as a function of k, where k varies from 1 to 10. The plotting script is go1.m. A sample plot is shown next:
   
2. Write a function pcp.m that performs dimension reduction using principal component projection. Plot the LOU recognition rate as a function of the number of dimension that ranges from 1 to 8. The value of k can be set to 1. The plotting script is go2.m. A sample plot is shown next:
   

   Please turn in a floppy disk containing these two files (louerror.m and pcp.m) and our TA will run go1.m and go2.m (on MATLAB version 4.2) to see if your work is right or not.