of Facebook users for each year from 2004 to 2016 can be found in the table below.Round all values to three decimal places. Year 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Users in millions 6. 12 58 145 360 608 845 1056 1230 1440 1710 2000 Using years since 2000, do both exponential and logistic regression and be sure to graph them and compare them to the scatterplot of the data. What model is the best fit to the data? exponential O logistic

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### Number of Facebook Users Over Time Analysis

The table below presents the number of Facebook users from 2004 to 2016. All values are rounded to three decimal places.

| Year | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 |
|------|------|------|------|------|------|------|------|------|------|------|------|------|------|
| Users in millions | 1 | 6 | 12 | 58 | 145 | 360 | 608 | 845 | 1056 | 1230 | 1440 | 1710 | 2000 |

Using the years since 2000 as the basis, perform both exponential and logistic regression analyses. Ensure to graph both models and compare them against the scatterplot of the actual data.

#### Best Fit Model
**Choose the best fitting model for the data:**
- [x] Exponential
- [ ] Logistic

#### Equation of the Best Fit Model
**Provide the equation for the best-fit model:**
``` 
[Input the Equation Here]
```

#### Prediction for 2025
Based on the selected model, **predict the number of Facebook users in the year 2025**:
``` 
[Input the Predicted Value Here]
```

#### Reasonableness of the Prediction
Is the predicted value reasonable? Explain your reasoning:
- [ ] Yes, the answer is reasonable.
- [ ] No, the answer is not reasonable.

**Explanation:**
[Provide an explanation of why the answer is reasonable or not]
Transcribed Image Text:### Number of Facebook Users Over Time Analysis The table below presents the number of Facebook users from 2004 to 2016. All values are rounded to three decimal places. | Year | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |------|------|------|------|------|------|------|------|------|------|------|------|------|------| | Users in millions | 1 | 6 | 12 | 58 | 145 | 360 | 608 | 845 | 1056 | 1230 | 1440 | 1710 | 2000 | Using the years since 2000 as the basis, perform both exponential and logistic regression analyses. Ensure to graph both models and compare them against the scatterplot of the actual data. #### Best Fit Model **Choose the best fitting model for the data:** - [x] Exponential - [ ] Logistic #### Equation of the Best Fit Model **Provide the equation for the best-fit model:** ``` [Input the Equation Here] ``` #### Prediction for 2025 Based on the selected model, **predict the number of Facebook users in the year 2025**: ``` [Input the Predicted Value Here] ``` #### Reasonableness of the Prediction Is the predicted value reasonable? Explain your reasoning: - [ ] Yes, the answer is reasonable. - [ ] No, the answer is not reasonable. **Explanation:** [Provide an explanation of why the answer is reasonable or not]
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