4. The following data give the approximate population of China for selected years from 1900 until 2010: Year 1950 1970 1980 1900 Population 400 (millions) 1990 2000 2010 1135 1266 1370 557 825 981 Assume that the population growth can be modeled with an exponential function p- bem , where x is the year and p is the population in millions. Write the equation in a linear form (Section 6.3), and use linear least-squares regression to determine the constants b and m for which the function best fits the data. Use the equation to estimate the population in the year 1985.
4. The following data give the approximate population of China for selected years from 1900 until 2010: Year 1950 1970 1980 1900 Population 400 (millions) 1990 2000 2010 1135 1266 1370 557 825 981 Assume that the population growth can be modeled with an exponential function p- bem , where x is the year and p is the population in millions. Write the equation in a linear form (Section 6.3), and use linear least-squares regression to determine the constants b and m for which the function best fits the data. Use the equation to estimate the population in the year 1985.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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