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consumption at a minimum? e) Use your model to predict the wine consumption in 2008.

consumption at a minimum? e) Use your model to predict the wine consumption in 2008.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Wine Consumption** The table below gives the U.S. adult wine consumption, in gallons per person per year, for selected years from 1980 to 2005. | Year | Wine Consumption | |------|------------------| | 1980 | 2.6 | | 1985 | 2.3 | | 1990 | 2.0 | | 1995 | 2.1 | | 2000 | 2.5 | | 2005 | 2.8 | Tasks: a) Create a scatterplot for the data and graph it. b) Determine the appropriate type of model for the data. c) Use a regression calculator to find a regression equation, and graph it in the same coordinate plane. d) Identify the year when wine consumption was at a minimum according to the model. e) Use the model to predict wine consumption in 2008. **Description of the Graph:** The graph displayed appears to be a scatterplot with time (years) on the horizontal axis ranging from 1975 to 2010, and wine consumption in gallons per person on the vertical axis starting from 1 up to 3. The data points corresponding to the given years show fluctuations, starting at 2.6 gallons in 1980, reaching a low of 2.0 gallons in 1990, and rising to 2.8 gallons in 2005.
Transcribed Image Text:**Wine Consumption** The table below gives the U.S. adult wine consumption, in gallons per person per year, for selected years from 1980 to 2005. | Year | Wine Consumption | |------|------------------| | 1980 | 2.6 | | 1985 | 2.3 | | 1990 | 2.0 | | 1995 | 2.1 | | 2000 | 2.5 | | 2005 | 2.8 | Tasks: a) Create a scatterplot for the data and graph it. b) Determine the appropriate type of model for the data. c) Use a regression calculator to find a regression equation, and graph it in the same coordinate plane. d) Identify the year when wine consumption was at a minimum according to the model. e) Use the model to predict wine consumption in 2008. **Description of the Graph:** The graph displayed appears to be a scatterplot with time (years) on the horizontal axis ranging from 1975 to 2010, and wine consumption in gallons per person on the vertical axis starting from 1 up to 3. The data points corresponding to the given years show fluctuations, starting at 2.6 gallons in 1980, reaching a low of 2.0 gallons in 1990, and rising to 2.8 gallons in 2005.
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