The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year 0 3 6 9 12 15 Retail Sales 85.851 108.426 141.781 169.256 202.297 222.266 Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is PLAY 180

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The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995.

| Year | Retail Sales |
|------|--------------|
| 0    | 85.851       |
| 3    | 108.426      |
| 6    | 141.781      |
| 9    | 169.256      |
| 12   | 202.297      |
| 15   | 222.266      |

Let \( S(t) \) be the retail sales in billions of dollars in \( t \) years since 1995. A linear model for the data is \( F(t) = 9.44t + 84.182 \).

The graph accompanying the data is a scatter plot with retail sales (in billions of dollars) on the y-axis and years since 1995 on the x-axis. The points represent sales for given years, and there is a linear trend line indicating the model \( F(t) = 9.44t + 84.182 \).

- **Graph Description:**
  - The x-axis is labeled with years since 1995 (0, 3, 6, 9, 12, 15).
  - The y-axis is labeled with sales values, ranging from 80 to 240 billion dollars.
  - Data points are plotted for each year, and a linear trend line closely follows these points.

Use the above scatter plot to decide whether the linear model fits the data well.
- ○ The function is not a good model for the data
- ○ The function is a good model for the data.

Estimate the retail sales in the U.S. in 2014. ______ billions of dollars.

Use the model to predict the year that corresponds to retail sales of 233 billion. ______.
Transcribed Image Text:The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. | Year | Retail Sales | |------|--------------| | 0 | 85.851 | | 3 | 108.426 | | 6 | 141.781 | | 9 | 169.256 | | 12 | 202.297 | | 15 | 222.266 | Let \( S(t) \) be the retail sales in billions of dollars in \( t \) years since 1995. A linear model for the data is \( F(t) = 9.44t + 84.182 \). The graph accompanying the data is a scatter plot with retail sales (in billions of dollars) on the y-axis and years since 1995 on the x-axis. The points represent sales for given years, and there is a linear trend line indicating the model \( F(t) = 9.44t + 84.182 \). - **Graph Description:** - The x-axis is labeled with years since 1995 (0, 3, 6, 9, 12, 15). - The y-axis is labeled with sales values, ranging from 80 to 240 billion dollars. - Data points are plotted for each year, and a linear trend line closely follows these points. Use the above scatter plot to decide whether the linear model fits the data well. - ○ The function is not a good model for the data - ○ The function is a good model for the data. Estimate the retail sales in the U.S. in 2014. ______ billions of dollars. Use the model to predict the year that corresponds to retail sales of 233 billion. ______.
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