The following data represent the pace of life (see Problem 1, Section 4.1). P is the population and V is the mean velocity in feet per second over a 50-ft course.

For Projects 2-9, use the software you developed in Project 1 to find the splines that pass through the given data points. Use graphics software, if available, to sketch the resulting splines.

Data from problem 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