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K x, Number of Years after y, Population Shown to the right is a certain population, in billions, for seven 1949 (billions) selected years from

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K x, Number of Years after y, Population Shown to the right is a certain population, in billions, for seven 1949 (billions) selected years from 1950 through 2005. Using a graphing 1 (1950) 2.8 utility's logistic regression option, we obtain the logistic growth 11 (1960) 3.2 model shown below for population, f(x), in billions, x years after 21 (1970) 3.9 1949 How well does the function model the data for 2005? 31 (1980) 47 14.26 f(x ) = 41 (1990) 5.5 1 + 4.35e- 0.024x 51 (2000) 6.3 56 (2005) 6.7 For 2005, the function the population to one decimal place accurately predicts slightly overestimates slightly underestimates

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