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Year Period 1988 1989 1990 1 2 3 Budge ($ billion 3.03 3.29 3.56

Year Period 1988 1989 1990 1 2 3 Budge ($ billion 3.03 3.29 3.56

MATLAB: An Introduction with Applications
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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### U.S. State General Fund Budget Data (1988-2011) This table provides the general fund budget for a U.S. state from the year 1988 (Period 1) to 2011 (Period 24). The budgets are listed in billions of dollars. | Year | Period | Budget ($ billions) | |------|--------|---------------------| | 1988 | 1 | 3.03 | | 1989 | 2 | 3.29 | | 1990 | 3 | 3.56 | | 1991 | 4 | 4.41 | | 1992 | 5 | 4.46 | | 1993 | 6 | 4.61 | | 1994 | 7 | 4.75 | | 1995 | 8 | 5.15 | | 1996 | 9 | 5.34 | | 1997 | 10 | 5.66 | | 1998 | 11 | 6.11 | | 1999 | 12 | 6.30 | | 2000 | 13 | 6.58 | | 2001 | 14 | 6.75 | | 2002 | 15 | 6.66 | | 2003 | 16 | 6.88 | | 2004 | 17 | 7.08 | | 2005 | 18 | 7.65 | | 2006 | 19 | 8.48 | | 2007 | 20 | 8.57 | | 2008 | 21 | 8.76 | | 2009 | 22 | 8.53 | | 2010 | 23 | 8.68 | | 2011 | 24 | 8.87 | ### Analysis This dataset indicates a general trend of consistent increase in the state's general fund budget over the 24-year period, with slight fluctuations during certain years. Notable observations include: - Between 1988 and 1992, there was a steady increase in the budget from $3.03 billion to $4
Transcribed Image Text:### U.S. State General Fund Budget Data (1988-2011) This table provides the general fund budget for a U.S. state from the year 1988 (Period 1) to 2011 (Period 24). The budgets are listed in billions of dollars. | Year | Period | Budget ($ billions) | |------|--------|---------------------| | 1988 | 1 | 3.03 | | 1989 | 2 | 3.29 | | 1990 | 3 | 3.56 | | 1991 | 4 | 4.41 | | 1992 | 5 | 4.46 | | 1993 | 6 | 4.61 | | 1994 | 7 | 4.75 | | 1995 | 8 | 5.15 | | 1996 | 9 | 5.34 | | 1997 | 10 | 5.66 | | 1998 | 11 | 6.11 | | 1999 | 12 | 6.30 | | 2000 | 13 | 6.58 | | 2001 | 14 | 6.75 | | 2002 | 15 | 6.66 | | 2003 | 16 | 6.88 | | 2004 | 17 | 7.08 | | 2005 | 18 | 7.65 | | 2006 | 19 | 8.48 | | 2007 | 20 | 8.57 | | 2008 | 21 | 8.76 | | 2009 | 22 | 8.53 | | 2010 | 23 | 8.68 | | 2011 | 24 | 8.87 | ### Analysis This dataset indicates a general trend of consistent increase in the state's general fund budget over the 24-year period, with slight fluctuations during certain years. Notable observations include: - Between 1988 and 1992, there was a steady increase in the budget from $3.03 billion to $4
### Time Series Analysis **Example Dataset:** | Year | Period | Budget ($ billions) | |-------|--------|---------------------| | 2010 | 23 | 8.23 | | 2011 | 24 | 8.86 | #### (a) Construct a time series plot. The following diagrams represent different time series plots. Each plot records the budget in billions of dollars against different periods: 1. **First Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - The plot shows an increasing trend in budget values over time until near period 20, where fluctuation and slight decline occur but eventually rise again. 2. **Second Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - The plot shows a strong initial value and then a continuous decreasing trend in budget values over time. 3. **Third Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - Similar to the second plot, showing a strong initial value, followed by a consistent declining trend. 4. **Fourth Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - Similar to the first plot but demonstrating a more stable, consistently rising time series trend. #### What type of pattern exists in the data? - **Options:** 1. The time series plot shows a seasonal pattern. 2. The time series plot shows a nonlinear trend. 3. The time series plot shows a horizontal pattern. 4. The time series plot shows a linear 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
Transcribed Image Text:### Time Series Analysis **Example Dataset:** | Year | Period | Budget ($ billions) | |-------|--------|---------------------| | 2010 | 23 | 8.23 | | 2011 | 24 | 8.86 | #### (a) Construct a time series plot. The following diagrams represent different time series plots. Each plot records the budget in billions of dollars against different periods: 1. **First Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - The plot shows an increasing trend in budget values over time until near period 20, where fluctuation and slight decline occur but eventually rise again. 2. **Second Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - The plot shows a strong initial value and then a continuous decreasing trend in budget values over time. 3. **Third Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - Similar to the second plot, showing a strong initial value, followed by a consistent declining trend. 4. **Fourth Plot:** - **X-axis (Horizontal):** Period (ranging from 0 to 25) - **Y-axis (Vertical):** Budget ($ billions) (ranging from 0 to 10) - Similar to the first plot but demonstrating a more stable, consistently rising time series trend. #### What type of pattern exists in the data? - **Options:** 1. The time series plot shows a seasonal pattern. 2. The time series plot shows a nonlinear trend. 3. The time series plot shows a horizontal pattern. 4. The time series plot shows a linear 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
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