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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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