Question

answer from (a) to (f) ....mathematical modelling problem

In 1976, Marc and Helen Bornstein studied the pace oflife.2 To see iflife becomes more hectic as the size of the city becomes larger, they systematically observed the mean time required for pedestrians to walk 50 feet on the main streets of their cities and towns. In Table 45, we present some of the data they collected. The variable P represents the population of the town or city, and the variable V represents the mean velocity of pedestrians walking the 50 feet. 1. Fit the model V CP" to the "pace of life" data in Table 4.5. Use the transforma- tion log V a log P +log C. Plot log V versus log P. Does the relationship seem reasonable? a. Make a table of log P versus log V b. Construct a scatterplot of your log-log data. c. Eyeball a line I onto your scatterplot. d. Estimate the slope and the intercept. e. Find the linear equation that relates log V and log P. f. Find the equation of the form CPa that expresses V in terms of P. Table 45 Population and mean velocity over a 50-foot course, for 15 locations Population Mean velocity V (ft/sec) Location (1) Bno, Czechoslovakia L(2) Prague, Czechoslovakia 1,092.759 (3) Corte, Corsica (4) Bastia, France (5) Munich, Germany (6) Psychro, Crete (7) Itea, Greece (8) Iraklion, Greece (9) Athens, Greece 341.948 4.81 5.88 3.31 5,491 4.90 49,375 5.62 1,340,000 365 2.76 2.27 2.500 78.200 5.21 3.70 867,023 14,000 (10) Safed, Israel 23,700 70.700 3.27 (11) Dimona, Israel (12) Netanya. Israel (13) Jerusalem, Israel 304.500 4.42 (14) New Haven. U.SA (15) Brooklyn. U.S.A 138,000 4.39 2.602.000 5.05

Answer 1

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