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Shown to the right is a certain population, in billions, for seven selected years from 1950 through 2007. Using a graphing utility's logistic regression option, we obtain the logistic growth model shown below for population, f(x), in billions, x years after 1949. How well does the function model the data for 2007? 11.17 f(x) = 1 +3.39 e -0.028x For 2007, the function accurately predicts the population to one decimal place. slightly underestimates slightly overestimates x, Number of Years after 1949 1 (1950) 11 (1960) 21 (1970) 31 (1980) 41 (1990) 51 (2000) 58 (2007) y, Population (billions) 2.7 3.1 3.8 4.6 5.4 6.2 6.6

Shown to the right is a certain population, in billions, for seven selected years from 1950 through 2007. Using a graphing utility's logistic regression option, we obtain the logistic growth model shown below for population, f(x), in billions, x years after 1949. How well does the function model the data for 2007? 11.17 f(x) = 1 +3.39 e -0.028x For 2007, the function accurately predicts the population to one decimal place. slightly underestimates slightly overestimates x, Number of Years after 1949 1 (1950) 11 (1960) 21 (1970) 31 (1980) 41 (1990) 51 (2000) 58 (2007) y, Population (billions) 2.7 3.1 3.8 4.6 5.4 6.2 6.6

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Shown to the right is a certain population, in billions, for seven selected years from 1950 through 2007. Using a graphing utility's logistic regression option, we obtain the logistic growth model shown below for population, f(x), in billions, x years after 1949. How well does the function model the data for 2007? 11.17 f(x) = 1 +3.39 e -0.028x For 2007, the function accurately predicts the population to one decimal place. slightly underestimates slightly overestimates x, Number of Years after 1949 1 (1950) 11 (1960) 21 (1970) 31 (1980) 41 (1990) 51 (2000) 58 (2007) y, Population (billions) 2.7 3.1 3.8 4.6 5.4 6.2 6.6
Transcribed Image Text:Shown to the right is a certain population, in billions, for seven selected years from 1950 through 2007. Using a graphing utility's logistic regression option, we obtain the logistic growth model shown below for population, f(x), in billions, x years after 1949. How well does the function model the data for 2007? 11.17 f(x) = 1 +3.39 e -0.028x For 2007, the function accurately predicts the population to one decimal place. slightly underestimates slightly overestimates x, Number of Years after 1949 1 (1950) 11 (1960) 21 (1970) 31 (1980) 41 (1990) 51 (2000) 58 (2007) y, Population (billions) 2.7 3.1 3.8 4.6 5.4 6.2 6.6
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