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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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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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