In the following data, V represents a mean walking velocity and P represents the population size. We wish to know if we can predict the population size P by observing how fast people walk. Plot the data. What kind of a relationship is suggested? Test the following models by plotting the appropriate transformed data.

a. P = aVb

b. P = a In V

P 2.27 2.76 3.27 3.31 2500 365 23700 5491 4.81 P 341948 4.90 49375 5.05 260200 3.70 3.85 4.31 4.39 4.42 14000 78200 70700 138000 304500 5.21 867023 5.62 1340000 5.88 1092759