Linear Algebra - Linear Regression Population The table shows the U.S. populationsfor the years 1970, 1980, 1990, and 2000. (Source: U.S.Census Bureau)Year19701980 1990 2000Роpulation(in millions)205227249282(a) Find a cubic polynomial that fits the data and use itto estimate the population in 2010.(b) The actual population in 2010 was 309 million.How does your estimate compare?

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Answered: Population The tablé shóws the U.S.…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.3: Applications Of Systems Of Linear Equations

Problem 18E: Population The table shows the U.S. populations for the years 1970,1980,1990 and 2000. Source: U.S....

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Linear Algebra - Linear Regression

Population The table shows the U.S. populations
for the years 1970, 1980, 1990, and 2000. (Source: U.S.
Census Bureau)
Year
1970
1980 1990 2000
Роpulation
(in millions)
205
227
249
282
(a) Find a cubic polynomial that fits the data and use it
to estimate the population in 2010.
(b) The actual population in 2010 was 309 million.
How does your estimate compare?

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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