Consider the pace of life'' data from Problem 1, Section 4.1. Consider fitting a 14th- order polynomial to the data. Discuss the disadvantages of using the polynomial to make predictions. If a computer is available, determine and graph the polynomial.

Data from problem 1 in section 4.1

Fit the model V = CP^a to the ``pace of life'' data in Table 4.5. Use the transformation log V = a log P + log C. Plot log V versus log P. Does the relationship seem reasonable?

Table 4.5

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10 D DO 7 6 5 4 Case 3 Cases 1 and 2 (nearly indistinguishable) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Cengaging