Question: Given the data: a. Construct the least squares polynomial of degree 1, and compute the error. b. Construct the least squares polynomial of degree 2,

Given the data:

a. Construct the least squares polynomial of degree 1, and compute the error.
b. Construct the least squares polynomial of degree 2, and compute the error.
c. Construct the least squares polynomial of degree 3, and compute the error.
d. Construct the least squares approximation of the form beax, and compute the error.
e. Construct the least squares approximation of the form bxa, and compute the error.

x 4.0 4.4.5 4.7 5. 55 5.9 636.8 7.1 Vi 102.56 113.18 130 142.05 167.53 195.14 224.87 256.73 299.50 326.72

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