Given the data X y 0.2 0.050446 0.3 0.098426 0.6 0.33277 0.9 0.72660 1.1 1.0972 1.3....

 

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Given the data X y 0.2 0.050446 0.3 0.098426 0.6 0.33277 0.9 0.72660 1.1 1.0972 1.3. 1.5697 1.4 1.8487 1.6 2.5015 (6.1) Construct the least squares approximation polynomial of degree three and compute the error. (6.2) Construct the least squares approximation of the form beax and compute the error. (6.3) Construct the least squares approximation of the form bx and compute the error. (6.4) Draw the graph of the data points and the approximations in (6.1), (6.2) and (6.3). (4) (4) (4) (7) Given the data X y 0.2 0.050446 0.3 0.098426 0.6 0.33277 0.9 0.72660 1.1 1.0972 1.3. 1.5697 1.4 1.8487 1.6 2.5015 (6.1) Construct the least squares approximation polynomial of degree three and compute the error. (6.2) Construct the least squares approximation of the form beax and compute the error. (6.3) Construct the least squares approximation of the form bx and compute the error. (6.4) Draw the graph of the data points and the approximations in (6.1), (6.2) and (6.3). (4) (4) (4) (7)