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Sp11_Quiz6_soln - EGN 3420 Quiz 6 Solution Sp 2011 Data...

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EGN 3420 Quiz 6 Solution Sp 2011 Data from an unknown function ( ) y f x is shown in the table below. x y 0 1 1 2 2 5 3 8 1. The equation ˆ 2 1 y x is being used for interpolation of the function. The sum of the squares of the errors ˆ , 1,2,3,4 i i i e y y i is (3pts) a) 0 b) 2 c) 1.5 d) 4 e) 1.8 f) none of the above yhat = 1 3 5 7 e = 0 -1 0 1 esq = 0 1 0 1 sum_esq = 2 2. The Least Squares line thru the data points is 0 1 ˆ y a a x where (4 pts) a) 0 1 1, 2 a a b) 0 1 0.8, 2.1 a a c) 0 1 1.5, 2.5 a a d) 0 1 0.75, 2.5 a a e) 0 1 0.4, 2.4 a a f) none of the above A = 4 6 6 14 b = 16 36 a = 0.4000 2.4000
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3. SST and SSE for the Least Squares line are
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