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Unformatted text preview: a maximum 1. [5pts] Fit the data set given in Table 1 to the following function, y = a + a 1 x 2 + a 2 sin ( y ). Find a , a 1 and a 2 . x y f ( x, y ) 1.8 1 0.5 2.3 2 1 0.5 3 1.54 4 211 Q2: For y = a + a 1 x 2 + a 2 sin ( y ), let z = 1 , z 1 = x 2 , z 2 = sin ( y ),then Z = 1 1 1 . 4794 1 4 . 8415 1 9 . 9975 1 16 0 . 9093 , Y = 1 . 8 2 . 3 . 5411 Z T Z = 5 30 3 . 2277 30 354 27 . 3715 3 . 2277 27 . 3715 2 . 7597 Z T Y = [10 . 4000 ,207 . 7000 ,12 . 4688] T Z T Z~a = Z T Y, ~a = ( Z T Z )1 ( Z T Y ) = [1 . 8144 ,. 9740 , 3 . 0202] T 2...
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 Spring '11
 LEE
 Optimization, 5pts, 1pt, 2pt

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