The number of users of a certain website (in millions) from 2004 through 2011 follows. Year Period Users (Millions) 2004 1 1 2005 2 2006 11 2007 4 59 2008 146 2009 6 359 2010 608 2011 845 (a) Construct a time series plot. 900 900- 900 90 800 800 800 80 700 700 700 70 600- 600 500 600 60 500 500 50 400 400 400 40 300 300 300 30 200 200 llions of Users lions of Users Ilions of Users llions of Users
The number of users of a certain website (in millions) from 2004 through 2011 follows. Year Period Users (Millions) 2004 1 1 2005 2 2006 11 2007 4 59 2008 146 2009 6 359 2010 608 2011 845 (a) Construct a time series plot. 900 900- 900 90 800 800 800 80 700 700 700 70 600- 600 500 600 60 500 500 50 400 400 400 40 300 300 300 30 200 200 llions of Users lions of Users Ilions of Users llions of Users
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![# Analysis of Website User Growth from 2004 to 2011
The data presented in the table below shows the number of users (in millions) of a certain website over a span of eight years, from 2004 through 2011.
| Year | Period | Users (Millions) |
|------|--------|------------------|
| 2004 | 1 | 1 |
| 2005 | 2 | 6 |
| 2006 | 3 | 11 |
| 2007 | 4 | 59 |
| 2008 | 5 | 146 |
| 2009 | 6 | 359 |
| 2010 | 7 | 608 |
| 2011 | 8 | 845 |
### (a) Construct a Time Series Plot
The diagrams provided below illustrate different types of time series plots that represent user growth over the periods.
1. **Graph 1**: Depicts a downward linear trend.
2. **Graph 2**: Shows an upward linear trend.
3. **Graph 3**: Indicates a downward curvilinear trend.
4. **Graph 4**: Displays an upward curvilinear trend.
The accurate representation of the data should match the significant increase in users over time.
### Identifying Patterns
**Question:** What type of pattern exists?
- The time series plot exhibits a downward curvilinear trend.
- The time series plot exhibits an upward linear trend.
- The time series plot exhibits a downward linear trend.
- The time series plot exhibits an upward curvilinear trend.
The correct pattern based on the data provided is an upward curvilinear trend.
### (b) Forecasting Users
Using Minitab or Excel, develop a quadratic trend equation to forecast users (in millions). Round numerical values to one decimal place.
\[ T_t = \]
Enter the derived quadratic equation here. This equation will help predict future user numbers based upon the historical data trends observed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9aee9d7-69b3-43e2-b021-7b6cf1d794ed%2F9eaad963-f969-4ab6-b356-c6ea1e22a1dd%2Fqyecry_processed.png&w=3840&q=75)
Transcribed Image Text:# Analysis of Website User Growth from 2004 to 2011
The data presented in the table below shows the number of users (in millions) of a certain website over a span of eight years, from 2004 through 2011.
| Year | Period | Users (Millions) |
|------|--------|------------------|
| 2004 | 1 | 1 |
| 2005 | 2 | 6 |
| 2006 | 3 | 11 |
| 2007 | 4 | 59 |
| 2008 | 5 | 146 |
| 2009 | 6 | 359 |
| 2010 | 7 | 608 |
| 2011 | 8 | 845 |
### (a) Construct a Time Series Plot
The diagrams provided below illustrate different types of time series plots that represent user growth over the periods.
1. **Graph 1**: Depicts a downward linear trend.
2. **Graph 2**: Shows an upward linear trend.
3. **Graph 3**: Indicates a downward curvilinear trend.
4. **Graph 4**: Displays an upward curvilinear trend.
The accurate representation of the data should match the significant increase in users over time.
### Identifying Patterns
**Question:** What type of pattern exists?
- The time series plot exhibits a downward curvilinear trend.
- The time series plot exhibits an upward linear trend.
- The time series plot exhibits a downward linear trend.
- The time series plot exhibits an upward curvilinear trend.
The correct pattern based on the data provided is an upward curvilinear trend.
### (b) Forecasting Users
Using Minitab or Excel, develop a quadratic trend equation to forecast users (in millions). Round numerical values to one decimal place.
\[ T_t = \]
Enter the derived quadratic equation here. This equation will help predict future user numbers based upon the historical data trends observed.
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