The raw data for Problem 22, from Freund (1979), appear below. For the model of Problem 22,
a. Fit the model.
b. What discrepancies do you note between the results of (a) and the data summary presented in Problem 22?
c. Examine the correlation matrix for all predictor variables in this problem. Are any collinearity problems apparent?
d. Determine the variance inflation factors, condition indices (unadjusted and adjusted for the intercept), and variance proportions. Are any collinearity problems apparent? If so, suggest a remedy.
e. Examine outlier diagnostics. Are any outliers apparent? If so, suggest a course of action.
f. Determine eigenvalues, condition indices, and condition numbers for the correlation matrix (excluding the intercept).
g. Determine eigenvalues, condition indices, and condition numbers for the scaled cross-products matrix (including the intercept).
h. Determine residuals (preferably studentized) and leverage values. Do any observations seem bothersome? Explain.
i. Does there appear to be any problem with collinearity? Explain.
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