ne table lists fossil fuel production as a percentage of total energy production for selected years. A linéar regression model for this data is y=-0.33x + 95.0 here x represents years after 1960 and y represents the corresponding percentage of oil imports. (A) Draw a scatter plot of the data and a graph of the model on the same axes. O A. B. 100T 100 Fossil Fuel Production Production (%) 96 91 88 84 83 Year 1960 1970 1980 1990 2000 Years after t000 Years after 1900 OC. OD. 100 100 E 60 Years after 1000 Years after 1960

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter4: Estimating Demand
Section: Chapter Questions
Problem 8E
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The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is
(A) Draw a scatter plot of the data and a graph of the model on the same axes.
y = - 0.33x+95.0
OA.
OB.
where x represents years after 1960 and y represents the corresponding percentage of oil imports.
100
100
Fossil Fuel Production
Production (%)
96
Year
1960
07
->
1970
1980
91
60
60
Years after 1060
88
Years after 1980
1990
84
OC.
OD.
2000
83
100
,
100
0-
04
60
60
Years after 1960
Years after 1960
(B) Interpret the slope of the model.
The rate of change of the percentage of oil imports with respect to time is -0.33%
per year.
(C) Use the model to predict fossil fuel production in 2010.
In 2010 fossil fuel production as a percentage of total production will be about 78.5 %.
(Round to one decimal place as needed.)
(D) Use the model to estimate the year in which fossil fuel production will fall below 70% of total energy production.
In the year fossil fuel production is expected to fall below 70% of total energy production.
(Round up to the nearest year.)
Transcribed Image Text:The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is (A) Draw a scatter plot of the data and a graph of the model on the same axes. y = - 0.33x+95.0 OA. OB. where x represents years after 1960 and y represents the corresponding percentage of oil imports. 100 100 Fossil Fuel Production Production (%) 96 Year 1960 07 -> 1970 1980 91 60 60 Years after 1060 88 Years after 1980 1990 84 OC. OD. 2000 83 100 , 100 0- 04 60 60 Years after 1960 Years after 1960 (B) Interpret the slope of the model. The rate of change of the percentage of oil imports with respect to time is -0.33% per year. (C) Use the model to predict fossil fuel production in 2010. In 2010 fossil fuel production as a percentage of total production will be about 78.5 %. (Round to one decimal place as needed.) (D) Use the model to estimate the year in which fossil fuel production will fall below 70% of total energy production. In the year fossil fuel production is expected to fall below 70% of total energy production. (Round up to the nearest year.)
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