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 below is a scatter plot with a fitted line. The x-axis represents the years since 1995, ranging from 0 to 15, and the y-axis represents the retail sales in billions of dollars, ranging from 85 to 240. The points plotted correspond to the sales data in the table, and the line represents the linear model \( F(t) = 9.44t + 84.182 \). [Graph of Retail Sales vs. Years: Points are at (0, 85.851), (3, 108.426), (6, 141.781), (9, 169.256), (12, 202.297), (15, 222.266) along with the linear trend line] 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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Estimate the retails sales in the U. S. in 2014  263.54

 

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 below is a scatter plot with a fitted line. The x-axis represents the years since 1995, ranging from 0 to 15, and the y-axis represents the retail sales in billions of dollars, ranging from 85 to 240. The points plotted correspond to the sales data in the table, and the line represents the linear model \( F(t) = 9.44t + 84.182 \).

[Graph of Retail Sales vs. Years: Points are at (0, 85.851), (3, 108.426), (6, 141.781), (9, 169.256), (12, 202.297), (15, 222.266) along with the linear trend line]

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 below is a scatter plot with a fitted line. The x-axis represents the years since 1995, ranging from 0 to 15, and the y-axis represents the retail sales in billions of dollars, ranging from 85 to 240. The points plotted correspond to the sales data in the table, and the line represents the linear model \( F(t) = 9.44t + 84.182 \). [Graph of Retail Sales vs. Years: Points are at (0, 85.851), (3, 108.426), (6, 141.781), (9, 169.256), (12, 202.297), (15, 222.266) along with the linear trend line] 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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