Problem 2: Determine the least squares data fit for the following data. Also, find the root- mean-square-error of your least square fit. Use The Gauss Seidel iteration method to solve the system of equation for ɛ = 0.001 (this could require very large number of iterations). Xi yi -4.02064 2 3.564788 4 9.166273 6 13.39952 8 16.37855 10 19.01552 12 19.28087 14 18.36042 16 16.14014 18 12.91649 20 6.044202 22 -10.2461

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Author:Amos Gilat
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Problem 2: Determine the least squares data fit for the following data. Also, find the root-
mean-square-error of your least square fit. Use The Gauss Seidel iteration method to
solve the system of equation for ɛ = 0.001 (this could require very large number of
iterations).
Xi
yi
-4.02064
2
3.564788
4
9.166273
6
13.39952
8
16.37855
10
19.01552
12
19.28087
14
18.36042
16
16.14014
18
12.91649
20
6.044202
22
-10.2461
Transcribed Image Text:Problem 2: Determine the least squares data fit for the following data. Also, find the root- mean-square-error of your least square fit. Use The Gauss Seidel iteration method to solve the system of equation for ɛ = 0.001 (this could require very large number of iterations). Xi yi -4.02064 2 3.564788 4 9.166273 6 13.39952 8 16.37855 10 19.01552 12 19.28087 14 18.36042 16 16.14014 18 12.91649 20 6.044202 22 -10.2461
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