The following data represent the pace of life data (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 In Problems 6 12, construct a scatterplot of the given data Is there a trend in the data Are any of the data points outliers Construc...

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The following data represent the pace of life data (see Problem 1, Section 4.1). P is the

Question:

The following data represent the pace of life'' data (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.

P 365 V P V 2500 5491 14000 23700 49375 2.76 2.27 3.31 70700 78200 3.70 3.27 4.90 4.31 3.85 138000 304500

In Problems 6-12, construct a scatterplot of the given data. Is there a trend in the data? Are any of the data points outliers? Construct a divided difference table. Is smoothing with a low-order polynomial appropriate? If so, choose an appropriate polynomial and fit using the least-squares criterion of best fit. Analyze the goodness of fit by examining appropriate indicators and graphing the model, the data points, and the deviations.

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