INSTRUCTOR 
Prof. Andrew Knyazev
Office: CU (Dravo) 620G. Phone: 556-8102.
Office hours: Tue 3pm - 6pm

NA II       EXAM #3     (Sections 10.1-10.2)        Mon April 1, 1996
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1. Using experimental data 

x | 0 1 2
y | 1 2 1

find the best least squares approximation in the form
y = ax + b.
 


2. Using experimental data 

x | 0 1 2
y | 1 2 1

find the best least squares approximation in the form
y = ax^2  + b
 
3. Check if functions

x  and  x  - 1

form the orthonormal basis on the set of points
{0,1}
       
4. Find the Chebyshev polynomial of the sixth order
on interval [-1,1] using a recursive formula.