Year Period Budget ($ billions) 1988 1 3.03 1989 2 3.29 1990 3 3.56 1991 4 4.31 1992 5 4.46 1993 6 4.51 1994 7 4.65 1995 8 5.15 1996 9 5.34 1997 10 5.66 1998 11 6.01 1999 12 6.30 2000 13 6.48 2001 14 6.75 2002 15 6.66 2003 16 6.88 2004 17 6.98 2005 18 7.65 2006 19 8.48 2007 20 8.57 2008 21 8.76 2009 22 8.53 2010 23 8.23 2011 24 8.86

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Year Period Budget
($ billions)
1988 1 3.03
1989 2 3.29
1990 3 3.56
1991 4 4.31
1992 5 4.46
1993 6 4.51
1994 7 4.65
1995 8 5.15
1996 9 5.34
1997 10 5.66
1998 11 6.01
1999 12 6.30
2000 13 6.48
2001 14 6.75
2002 15 6.66
2003 16 6.88
2004 17 6.98
2005 18 7.65
2006 19 8.48
2007 20 8.57
2008 21 8.76
2009 22 8.53
2010 23 8.23
2011 24 8.86
10
10
10
9
9
8
8
8
7-
7+
7+
5
3
2-
2-
2-
1
1
1
++++H
+++
++H
5
10
15
20
25
10
15
20
25
10
15
25
Period
Period
Period
10
8-
7
6.
5
2-
++H
10
15
20
25
Period
What type of pattern exists in the data?
The time series plot shows a seasonal pattern.
The time series plot shows a linear trend.
The time series plot shows a nonlinear trend.
The time series plot shows a horizontal pattern.
(b) Develop a linear trend equation for this time series to forecast the budget (in billions of dollars). (Round your numerical values to three decimal places.)
Tt =
(c) What is the forecast (in billions of dollars) for period 25? (Round your answer to two decimal places.)
Budget ($ billions)
Budget ($ billions)
Budget ($ billions)
Budget ($ billions)
20
Transcribed Image Text:10 10 10 9 9 8 8 8 7- 7+ 7+ 5 3 2- 2- 2- 1 1 1 ++++H +++ ++H 5 10 15 20 25 10 15 20 25 10 15 25 Period Period Period 10 8- 7 6. 5 2- ++H 10 15 20 25 Period What type of pattern exists in the data? The time series plot shows a seasonal pattern. The time series plot shows a linear trend. The time series plot shows a nonlinear trend. The time series plot shows a horizontal pattern. (b) Develop a linear trend equation for this time series to forecast the budget (in billions of dollars). (Round your numerical values to three decimal places.) Tt = (c) What is the forecast (in billions of dollars) for period 25? (Round your answer to two decimal places.) Budget ($ billions) Budget ($ billions) Budget ($ billions) Budget ($ billions) 20
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