Wine Consumption. The table below gives the U.S. adult wine consumption, in gallons per person per year, for selected years from 2000 to 2016. a) Create a scatterplot for the data. Year Wine Consumption 2.6 2000 2004 2.9 2008 3.0 2012 2.8 2016 2.5 b) Determine what type of model is appropriate for the data (linear, quadratic, other). c) Use the appropriate regression on your calculator to find a model and store it in Y1. d) According to your model, in what year was wine consumption at a maximum?

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The table below gives adult wine consumption.

**Wine Consumption**

The table below provides data on U.S. adult wine consumption, measured in gallons per person per year, for selected years from 2000 to 2016.

| Year | Wine Consumption |
|------|------------------|
| 2000 | 2.6              |
| 2004 | 2.9              |
| 2008 | 3.0              |
| 2012 | 2.8              |
| 2016 | 2.5              |

**Tasks:**

a) **Create a scatterplot for the data.**

   - Plot the given data on a graph, with the year on the x-axis and wine consumption on the y-axis. This visual representation will help identify any trends or patterns.

b) **Determine what type of model is appropriate for the data (linear, quadratic, other).**

   - Analyze the scatterplot to decide which mathematical model best fits the data points. Consider linear, quadratic, or other types of regression models based on the observed pattern.

c) **Use the appropriate regression on your calculator to find a model and store it in Y₁.**

   - Utilize statistical tools or a graphing calculator to perform regression analysis. Enter the data points to generate a mathematical equation that models the wine consumption trend.

d) **According to your model, in what year was wine consumption at a maximum?**

   - Use the generated model to calculate and identify which year has the highest wine consumption based on the data trend.

e) **Use your model to predict the wine consumption in 2020.**

   - Apply the mathematical model to forecast wine consumption for the year 2020, providing a predicted value based on the observed trend.
Transcribed Image Text:**Wine Consumption** The table below provides data on U.S. adult wine consumption, measured in gallons per person per year, for selected years from 2000 to 2016. | Year | Wine Consumption | |------|------------------| | 2000 | 2.6 | | 2004 | 2.9 | | 2008 | 3.0 | | 2012 | 2.8 | | 2016 | 2.5 | **Tasks:** a) **Create a scatterplot for the data.** - Plot the given data on a graph, with the year on the x-axis and wine consumption on the y-axis. This visual representation will help identify any trends or patterns. b) **Determine what type of model is appropriate for the data (linear, quadratic, other).** - Analyze the scatterplot to decide which mathematical model best fits the data points. Consider linear, quadratic, or other types of regression models based on the observed pattern. c) **Use the appropriate regression on your calculator to find a model and store it in Y₁.** - Utilize statistical tools or a graphing calculator to perform regression analysis. Enter the data points to generate a mathematical equation that models the wine consumption trend. d) **According to your model, in what year was wine consumption at a maximum?** - Use the generated model to calculate and identify which year has the highest wine consumption based on the data trend. e) **Use your model to predict the wine consumption in 2020.** - Apply the mathematical model to forecast wine consumption for the year 2020, providing a predicted value based on the observed trend.
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