What type of pattern exists in the data? O The time series plot shows a downward linear trend. O The time series plot shows a downward curvilinear trend. O The time series plot shows an upward linear trend. O The time series plot shows an upward curvilinear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.) | billion (d) Compute an estimate of this company's revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.) billion

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The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014.

| Year | Period (t) | Revenue ($ billions) |
|------|------------|----------------------|
| 2009 | 1          | 23.6                 |
| 2010 | 2          | 29.2                 |
| 2011 | 3          | 38.0                 |
| 2012 | 4          | 50.1                 |
| 2013 | 5          | 59.8                 |
| 2014 | 6          | 66.6                 |

(a) Construct a time series plot.

Four time series plots are shown:

1. Plot 1: A straight line moving downward.
2. Plot 2: A curve peaking around Period 3, then sloping downwards.
3. Plot 3: A curve dipping between Periods 2 to 4, then rising sharply.
4. Plot 4: A straight line moving upward.

Question: What type of pattern exists in the data?
- The time series plot shows a downward linear trend.
- The time series plot shows a downward curvilinear trend.
- The time series plot shows an upward linear trend.
- The time series plot shows an upward curvilinear trend.

(b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.)

\( T_t = \) [Input box]

(c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.)

\$ [Input box] billion

(d) Compute an estimate of this company’s revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.)

\$ [Input box] billion
Transcribed Image Text:The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. | Year | Period (t) | Revenue ($ billions) | |------|------------|----------------------| | 2009 | 1 | 23.6 | | 2010 | 2 | 29.2 | | 2011 | 3 | 38.0 | | 2012 | 4 | 50.1 | | 2013 | 5 | 59.8 | | 2014 | 6 | 66.6 | (a) Construct a time series plot. Four time series plots are shown: 1. Plot 1: A straight line moving downward. 2. Plot 2: A curve peaking around Period 3, then sloping downwards. 3. Plot 3: A curve dipping between Periods 2 to 4, then rising sharply. 4. Plot 4: A straight line moving upward. Question: What type of pattern exists in the data? - The time series plot shows a downward linear trend. - The time series plot shows a downward curvilinear trend. - The time series plot shows an upward linear trend. - The time series plot shows an upward curvilinear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) \( T_t = \) [Input box] (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.) \$ [Input box] billion (d) Compute an estimate of this company’s revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.) \$ [Input box] billion
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