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Using the data of Exercise 14 99 In exercise a Create a

Using the data of Exercise 14.99,

In exercise

(a) Create a new variable, x22.

(b) Fit a surface of the form

(c) Find the correlation matrix of the three independent variables. Is there evidence of multicollinearity?

(d) Standardize each of the independent variables, x1 and x2, and create a new variable that is the square of the standardized value of x2.

(e) Fit a surface of the same form as in part (b) to the standardized variables. Compare the goodness of fit of this surface to that of the linear surface fitted in Exercise 14.99.

(f) Plot the residuals of this regression analysis against the values of and compare this plot to the one obtained in Exercise 14.99.

In exercise

(a) Create a new variable, x22.

(b) Fit a surface of the form

(c) Find the correlation matrix of the three independent variables. Is there evidence of multicollinearity?

(d) Standardize each of the independent variables, x1 and x2, and create a new variable that is the square of the standardized value of x2.

(e) Fit a surface of the same form as in part (b) to the standardized variables. Compare the goodness of fit of this surface to that of the linear surface fitted in Exercise 14.99.

(f) Plot the residuals of this regression analysis against the values of and compare this plot to the one obtained in Exercise 14.99.

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