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
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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4. The following data give the approximate population of China for selected years from 1900 until
2010:
1900
Population 400
(millions)
Year
1950 1970 | 1980
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.
Transcribed Image Text:4. The following data give the approximate population of China for selected years from 1900 until 2010: 1900 Population 400 (millions) Year 1950 1970 | 1980 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.
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