The amount of coal used by a small town over several decades is given in the table below. Tons of Year Coal 1960 73 1970 128.3 1980 127.2 1990 107.9 2000 87.4 2010 97.9 2020 171.8 a) Perform regression to find a cubic polynomial that fits the data. Use years since 1960 as your inputs. P(x)= Round all values to 4 decimal places. b) Use the model to estimate the amount of coal that was used in 1995. tons Round to 2 decimal places. c) Use the model to predict the amount of coal that will be used in 2060. tons Round to 2 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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The amount of coal used by a small town over several decades is given in the table below.
Tons of
Year
Coal
1960
73
1970
128.3
1980 127.2
1990 107.9
2000
87.4
2010
97.9
2020 171.8
a) Perform regression to find a cubic polynomial that fits the data. Use years since 1960 as your inputs.
P(x)=
Round all values to 4 decimal places.
b) Use the model to estimate the amount of coal that was used in 1995.
tons
Round to 2 decimal places.
c) Use the model to predict the amount of coal that will be used in 2060.
tons
Round to 2 decimal places.
Transcribed Image Text:The amount of coal used by a small town over several decades is given in the table below. Tons of Year Coal 1960 73 1970 128.3 1980 127.2 1990 107.9 2000 87.4 2010 97.9 2020 171.8 a) Perform regression to find a cubic polynomial that fits the data. Use years since 1960 as your inputs. P(x)= Round all values to 4 decimal places. b) Use the model to estimate the amount of coal that was used in 1995. tons Round to 2 decimal places. c) Use the model to predict the amount of coal that will be used in 2060. tons Round to 2 decimal places.
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