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HW6 assignment

# HW6 assignment - residuals E 2 = ∑ = n i 1(z i – a a 1...

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HW#6 EGM6341 Spring 2009 Due: 3/17/09 From textbook by Atkinson pp185-194 1. #28a, 2. #35 (read p. 171 of the textbook, as well as notes, for “not-a-knot” condition;) 3. (Least square fit) In many applications, one wishes to correlate a dependent variable z to two or more independent variables, x and y. The simplest model is a linear fit z = a 0 + a 1 x + a 2 y Defining z i – (a 0 + a 1 x i + a 2 y i ) as the residual, one can determine the “best” values of the coefficients (a 0 , a 1 , a 2 ) by minimizing the sum of the square of the
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Unformatted text preview: residuals, E 2 = ∑ = n i 1 (z i – a- a 1 x i- a 2 y i ) 2 where n is the total number of the data available for fitting. a) Derive a 3 x 3 system of equations for (a , a 1 , a 2 ). b) The following data was given. Find the linear fit for the data x y z 5 2 1 10 2.5 2 9 1 3 4 6 3 7 2 27 4. #4, p.239 5. #5, p.240 6. #11, p.241 7. #13, p.241 8. #23, p.242 (use numerical integration for finding c j ). Please graph to show the comparison....
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