The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. Year Period (t) Revenue (S billions) 2009 23.6 2010 2 29.3 2011 37.9 2012 4 50.2 2013 59.9 2014 6 66.7 KUNO (a) Construct a time series plot. 50 50 40 30 30 30 20 10 20 10- 20 20 10 10 3 6 1 6 3. Period Period Period Period What type of pattern exists in the data? O The time series plot shows a downward linear trend. O The time series plot shows an upward linear trend. O The time series plot shows an upward curvilinear trend. O The time series plot shows a downward 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.) 7,--18323.211 + 9.131 (e) 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.) s 18.03 x billion (d) Compute an estimate of this company's revenue (in bilions of dollars) for 2015. (Round your answer to two decimal places.) s75.75 x billion

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
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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
29.3
2011
3
37.9
2012
50.2
2013
59.9
2014
6
66.7
(a) Construct a time series plot.
80
80
70
80
70
60
50
* 40
80
70
70
60
60
60
50
* 40
30
20
10-
50
50
40
40
30
30
30
20
10-
20
10-
20
0-
1
10
3
4
6
1
3
4
1
2
3
4
1
2
3
4
Period
Period
Period
Period
What type of pattern exists in the data?
O The time series plot shows a downward linear trend.
O The time series plot shows an upward linear trend.
O The time series plot shows an upward curvilinear trend.
O The time series plot shows a downward 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, =-18323.211 +9,131t
(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.)
$ 18.03
x billion
(d) Compute an estimate of this company's revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.)
S75.75
X billion
Revenue ($ billions)
Revenue ($ billions)
(suoma s) anuaaay
Revenue ($ billions)
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 29.3 2011 3 37.9 2012 50.2 2013 59.9 2014 6 66.7 (a) Construct a time series plot. 80 80 70 80 70 60 50 * 40 80 70 70 60 60 60 50 * 40 30 20 10- 50 50 40 40 30 30 30 20 10- 20 10- 20 0- 1 10 3 4 6 1 3 4 1 2 3 4 1 2 3 4 Period Period Period Period What type of pattern exists in the data? O The time series plot shows a downward linear trend. O The time series plot shows an upward linear trend. O The time series plot shows an upward curvilinear trend. O The time series plot shows a downward 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, =-18323.211 +9,131t (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.) $ 18.03 x billion (d) Compute an estimate of this company's revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.) S75.75 X billion Revenue ($ billions) Revenue ($ billions) (suoma s) anuaaay Revenue ($ billions)
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