The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. Year Period (t) Revenue ($ billions) 2009 23.6 2010 29.3 2011 37.9 2012 4 50.2 2013 59.9 2014 66.7 (a) Construct a time series plot. 80 70 60 50 50 40 30 20 10 10 10 10 3. 7. 3 4 1 3. 2. 3. 1 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, = 12.640 + 9131 (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.) s9.131v billion (4) Compute an estimate of this company's revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.) s 75.75 x billion

College Algebra
1st Edition
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
37.9
2012
4
50.2
2013
59.9
2014
66.7
(a) Construct a time series plot.
80
80
80
80
70
70
70
70
60
50
40-
60
50
40
30
60
50-
60
50
40
40
30
20
10-
30
30
20
20
10
20
10
10
1
3
4
6
1
2
3
4
1
3
4
1
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.)
T, - 12.640 + 9131
(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.)
S19.131 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)
(suomg s) anuaay
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 37.9 2012 4 50.2 2013 59.9 2014 66.7 (a) Construct a time series plot. 80 80 80 80 70 70 70 70 60 50 40- 60 50 40 30 60 50- 60 50 40 40 30 20 10- 30 30 20 20 10 20 10 10 1 3 4 6 1 2 3 4 1 3 4 1 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.) T, - 12.640 + 9131 (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.) S19.131 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) (suomg s) anuaay
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