The general fund budget (in billions of dollars) for a U.S. state for 1988 (period 1) to 2011 (period 24) follows. Year Period Budget ($ billions) 1988 1 3.03 1989 2 3.29 1990 3 3.56 1991 4 4.41 1992 5 4.36 1993 6 4.61 1994 7 4.75 1995 8 5.15 1996 9 5.34 1997 10 5.66 1998 11 6.01 1999 12 6.20 2000 13 6.48 2001 14 6.65 2002 15 6.56 2003 16 6.78 2004 17 6.98 2005 18 7.65 2006 19 8.38 2007 20 8.67 2008 21 8.76 2009 22 8.53 2010 23 8.23 2011 24 8.76 (a) Construct a time series plot. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 8.8). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction. The last point is at approximately (24, 3.0). Consecutive points are close together with little scatter. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 6.8). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction. The last point is at approximately (24, 1.0). Consecutive points are close together with little scatter. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 2.0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction. The last point is at approximately (24, 7.8). Consecutive points are close together with little scatter. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 3.0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction. The last point is at approximately (24, 8.8). Consecutive points are close together with little scatter. What type of pattern exists in the data? The time series plot shows a horizontal pattern.The time series plot shows a linear trend. The time series plot shows a seasonal pattern.The time series plot shows a nonlinear trend. (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.) $ billion

The general fund budget (in billions of dollars) for a U.S. state for 1988 (period 1) to 2011 (period 24) follows. Year Period Budget ($ billions) 1988 1 3.03 1989 2 3.29 1990 3 3.56 1991 4 4.41 1992 5 4.36 1993 6 4.61 1994 7 4.75 1995 8 5.15 1996 9 5.34 1997 10 5.66 1998 11 6.01 1999 12 6.20 2000 13 6.48 2001 14 6.65 2002 15 6.56 2003 16 6.78 2004 17 6.98 2005 18 7.65 2006 19 8.38 2007 20 8.67 2008 21 8.76 2009 22 8.53 2010 23 8.23 2011 24 8.76 (a) Construct a time series plot. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 8.8). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction. The last point is at approximately (24, 3.0). Consecutive points are close together with little scatter. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 6.8). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction. The last point is at approximately (24, 1.0). Consecutive points are close together with little scatter. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 2.0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction. The last point is at approximately (24, 7.8). Consecutive points are close together with little scatter. A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 3.0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction. The last point is at approximately (24, 8.8). Consecutive points are close together with little scatter. What type of pattern exists in the data? The time series plot shows a horizontal pattern.The time series plot shows a linear trend. The time series plot shows a seasonal pattern.The time series plot shows a nonlinear trend. (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.) $ billion

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The general fund budget (in billions of dollars) for a U.S. state for 1988 (period 1) to 2011 (period 24) follows.

Year	Period	Budget ($ billions)
1988	1	3.03
1989	2	3.29
1990	3	3.56
1991	4	4.41
1992	5	4.36
1993	6	4.61
1994	7	4.75
1995	8	5.15
1996	9	5.34
1997	10	5.66
1998	11	6.01
1999	12	6.20
2000	13	6.48
2001	14	6.65
2002	15	6.56
2003	16	6.78
2004	17	6.98
2005	18	7.65
2006	19	8.38
2007	20	8.67
2008	21	8.76
2009	22	8.53
2010	23	8.23
2011	24	8.76

(a)

Construct a time series plot.

A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 8.8). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction. The last point is at approximately (24, 3.0). Consecutive points are close together with little scatter.

A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 6.8). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction. The last point is at approximately (24, 1.0). Consecutive points are close together with little scatter.

A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 2.0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction. The last point is at approximately (24, 7.8). Consecutive points are close together with little scatter.

A time series plot contains a series of 24 points connected by line segments. The horizontal axis ranges from 0 to 25 and is labeled: Period. The vertical axis ranges from 0 to 10 and is labeled: Budget ($ billions). The first point is at approximately (1, 3.0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction. The last point is at approximately (24, 8.8). Consecutive points are close together with little scatter.

What type of pattern exists in the data?

The time series plot shows a horizontal pattern.The time series plot shows a linear trend. The time series plot shows a seasonal pattern.The time series plot shows a nonlinear trend.

(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.)

T_t =

(c)

What is the forecast (in billions of dollars) for period 25? (Round your answer to two decimal places.)

$ billion

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