i=1 6. (a) Given a collection of data points {(x₁, yi)}₁ find the best least squares approx- imation of the form y = ax + bx². (b) Use this approximation to fit the data in Table 2. (c) Find the error in the least squares approximation. Xi 1 2 3 4 Yi 3.1 9.8 21.2 36.1 Table 2:

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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math —— Numerical analysis problems
i=1
6. (a) Given a collection of data points {(xi, yi)}₁ find the best least squares approx-
imation of the form y = ax + bx².
(b) Use this approximation to fit the data in Table 2.
(c) Find the error in the least squares approximation.
Xi
1
2
3
4
Yi
3.1
9.8
21.2
36.1
Table 2:
Transcribed Image Text:i=1 6. (a) Given a collection of data points {(xi, yi)}₁ find the best least squares approx- imation of the form y = ax + bx². (b) Use this approximation to fit the data in Table 2. (c) Find the error in the least squares approximation. Xi 1 2 3 4 Yi 3.1 9.8 21.2 36.1 Table 2:
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