The following data represent the population of a country. An ecologist is interested in building a model that describes the population. Population, y 76,200,000 92,200,000 106,000,000 123,200,000 132,200,000 151,300,000 179,300,000 203,300,000 226,500,000 248,700,000 281,400,000 Year, x 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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bes the
(a) Treating the year as the independent variable and the population as the dependent variable, use a graphing utility to
fit a logistic model from the data.
Find the values for a, b and c in a logistic model of the form y =
C
1+a e - bx
a =
(Use scientific notation. Round to five decimal places as needed.)
b:
(Round to four decimal places as needed.)
(Round to one decimal place as needed.)
Transcribed Image Text:bes the (a) Treating the year as the independent variable and the population as the dependent variable, use a graphing utility to fit a logistic model from the data. Find the values for a, b and c in a logistic model of the form y = C 1+a e - bx a = (Use scientific notation. Round to five decimal places as needed.) b: (Round to four decimal places as needed.) (Round to one decimal place as needed.)
The following data represent the population of a country. An ecologist is interested in building a model that describes the
population.
(a) T
fit a I
Population, y
76,200,000
92,200,000
106,000,000
123,200,000
132,200,000
151,300,000
179,300,000
203,300,000
226,500,000
248,700,000
281,400,000
Find
Year, x
1900
1910
a =
1920
(Use
1930
1940
1950
1960
b =
(Roum
1970
1980
1990
C=
(Rour
2000
Transcribed Image Text:The following data represent the population of a country. An ecologist is interested in building a model that describes the population. (a) T fit a I Population, y 76,200,000 92,200,000 106,000,000 123,200,000 132,200,000 151,300,000 179,300,000 203,300,000 226,500,000 248,700,000 281,400,000 Find Year, x 1900 1910 a = 1920 (Use 1930 1940 1950 1960 b = (Roum 1970 1980 1990 C= (Rour 2000
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