You are given the population figures of India as follows: Census year (X) 1951 1961 1971 1981 1991 2001 2011 Population (in crores) (Y) 25.0 25.1 27.9 31.9 36.1 43.9 54.7 Fit the exponential trend Y= A.B* to the above data by the method of least squares and find the trend values. Estimate the population in 202 1.

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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You are given the population figures of India as follows:
Census year (X)
1951
1961
1971
1981
1991
2001
2011
Population (in crores) (Y) 25.0
25.1
27.9
31.9
36.1
43.9
54.7
Fit the exponential trend Y A.B to the above data by the method of least squares and find the
trend values. Estimate the population in 2021.
Transcribed Image Text:You are given the population figures of India as follows: Census year (X) 1951 1961 1971 1981 1991 2001 2011 Population (in crores) (Y) 25.0 25.1 27.9 31.9 36.1 43.9 54.7 Fit the exponential trend Y A.B to the above data by the method of least squares and find the trend values. Estimate the population in 2021.
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