Question: Refer to the cement data from Exercise 4.4. a. Compute the VIFs and eigenvalues and eigenvectors for the data Use both the regression among the

Refer to the cement data from Exercise 4.4.

a. Compute the VIFs and eigenvalues and eigenvectors for the data Use both the regression among the predictors and the eigenvector associated with the smallest eigenvalue to identify the collinearity.

c. Noting that these predictors are percents, compute a new variable -100- Compute the regression of HEAT on 1-2 assuming a no-intercept model, and compare with the prediction equation obtained in Exercise 4.4a using the definition of rs. Note that including the intercept in this model introduces an exact collinearity. This is a situation in which the no-intercept model is appropriate.

d. Consider the regression using predictors 1, 2 and 2 and examine the collinearity indicators. Note that the prediction equation is identical to that obtained in part e but that there is no longer a strong indication of collinearity. Explain

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