 
Summary: Assignment #2
By now, you should be comfortable with data les in general, and with
plotting.
You are, here, asked to generate some articial data according to some
parameters, then see whether you can extract those parameters back from
the data. Also, you will construct some simple, twocategory classiers.
Your programming systems may have a generator for normal distribu
tions, in which case use that. If it doesn't, you can approximate bell curves
by using a uniform generator (call it \R()") that produces numbers in the
range [ 0:5; +0:5]. Then, approximate a normal (bellshaped) distribution
by summing ve terms:
R() +R() +R() +R() +R()
The last questions ask you to apply the machinery developed for articial
data to real data.
1. Generate and plot twodimensional normal scatter diagrams of various
sizes. Verify that the center of mass of the clouds is nearly (0; 0).
2. Call such a cloud of data C. Generate and plot other clouds C 0 as
follows. Select a 2 2 matrix, M , and a vector, ~
w.
C 0 = fM~v + ~
