Given the data: xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 6.8 7.1 yi 102.56 113.18 130.

Question

Given the data:

xi 4.0        4.2       4.5       4.7        5.1       5.5        5.9       6.3       6.8          7.1

yi 102.56   113.18  130.11  142.05   167.53  195.14  224.87  256.73   299.50   326.72

a.  Construct the least squares polynomial of degree 1, and compute the error

b.  Construct the least squares polynomial degree 2, and compute the error

c.  Construct the least squares polynomial degree 3, and compute the error

d.  Construct the least squares approximation of the form be^ax, and compute the error.

e.  Construct the least squares approximation of the form bx^a, and compute the error.

Explanation / Answer

Given the data: xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 6.8 7.1 yi 102.56 113.18 130.

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