Consider the following time series data.Month 1 2 3Value 24 13 20(a) Construct a time series plot.3025-120152Month4What type of pattern exists in the data?The data appear to follow a horizontal pattern.O The data appear to follow a seasonal pattern.35O The data appear to follow a trend pattern.O The data appear to follow a cyclical pattern.5766(b) Develop the three-month moving average forecasts for this time series.Time SeriesValue3025252020-15mimi ww15-10+10-500 1 2 3 4 5 6 7 8MonthCompute MSE.MSE 18.092413201219231551917.2517.612 19 23 15Forecast18.5061xWhat is the forecast for month 8?126x7xxx3000 1 23 4 5Month78302520-151050 123 4 5Month678OO✓0013 4Month5 6+780 (c) Use a = 0.2 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.)Time SeriesValueMonth12لیا4567Month1224313.420512619Compute MSE. (Round your answer to two decimal places.)MSE=What is the forecast for month 8? (Round your answer to two decimal places.)23(d) Compare the three-month moving average approach with the exponential smoothing approach using a = 0.2. Which appears to provide more accurate forecasts based on MSE?O The exponential smoothing using a = 0.2 provides a better forecast since it has a larger MSE than the three-month moving average.O The exponential smoothing using a = 0.2 provides a better forecast since it has a smaller MSE than the three-month moving average.15The three-month moving average provides a better forecast since it has a smaller MSE than the exponential smoothing using a = 0.2.O The three-month moving average provides a better forecast since it has a larger MSE than the exponential smoothing using a = 0.2.(e) Use a smoothing constant of a = 0.4 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.)Time SeriesValue2413.20241217.6192315Forecast2419x18.50Forecast17.617.25xXXDoes a smoothing constant of 0.2 or 0.4 appear to provide more accurate forecasts based on MSE? Explain.O The exponential smoothing using a = 0.2 provides a better forecast since it has a smaller MSE than the exponential smoothing using a = 0.4.The exponential smoothing using a = 0.4 provides a better forecast since it has a smaller MSE than the exponential smoothing using α = 0.2.O The exponential smoothing using a = 0.4 provides a better forecast since it has a larger MSE than the exponential smoothing using α = 0.2.O The exponential smoothing using a = 0.2 provides a better forecast since it has a larger MSE than the exponential smoothing using a = 0.4.

Time series plot can be constructed as follows: This gives the following plot as output: Therefore…

Answered: Consider the following time series…

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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C8. According to the Pew Research Center (2015), recent immigrants are better educated than earlier immigrants to the United States. The change was attributed to the availability of better education in each region or country of origin. The percentage of immigrants 25 years of age and older who completed at least high school is reported in this table for 1970 to 2013. Write a statement describing the change over time in the percentage who completed at least a high school degree. 1970 1980 1990 2000 2013 Mexico 14 17 26 30 48 Other Central/South America 57 53 60 66 Asia 75 72 75 82 84 48 68 81 87 95 Europe 36 48 52 58 72 Caribbean 81 91 88 85 85 Africa Source: Pew Research Center, Modern Immigration Wave Brings 59 Million to U.S., Driving Population Growth and Change Through 2065, 2015. Retrieved from https://www.pewresearch.org/hispanic/2015/09/28/modern- immigration-wave-brings-59-million-to-u-s-driving-population-growth-and-change-through-2065/ 52
year Income (S) B 1994 6036 85.1 20.4 1995 6113 87.8 20.2 Make a forecast of Mr. X's Income for the next five years 1996 6271 88.9 21.3 Make forecast of income for the given values of B =110 and P= 55 1997 6378 94.5 19.9 1998 6727 99.9 18 1999 7027 99.5 19.9 2000 7280 104.2 22.2 2001 7513 106.5 22.3 2002 7728 109.7 23.4 2003 7891 110.8 26.2 2004 8134 113.7 27.1 2005 8322 113 29 2006 8562 116 33.5 2007 9042 108.7 42.8 2008 8867 115.4 35.6 2009 8944 118.9 32.2 2010 9175 127.4 33.7 2011 9381 123.5 34.4 2012 9735 117.9 48.5 2013 9829 105.4 66.1 2014 9722 103.2 62.4 2015 9769 104.2 58.6 2016 9725 103.7 56.7 2017 9930 105.7 55.5 2018 10419 105.5 57.3 2019 10625 106.5 53.7 2020 10905 107.3 52.6
QUESTION 4 Which of the following best describes the trend of the graph? Scatterplot of Live Births per 1000 Women vs Age of Mother 120 Live Births per 1000 Women 100 80 60 40 20 0 10 15 20 25 30 35 Age of Mother (in years) There is a positive linear trend. O There is a negative linear trend. There is no linear trend. 40 45
Centerville Bikes and Stuff (CBS) sells motorcycles and accessories. The number of helmets sold by CBS per week for the past six weeks follows. Week 1 2 3 4 5 6 Value 17 12 14 10 16 13 (a) Construct a time series plot. A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows. The segments start at (1, 17), go down and right to (2, 12), go up and right to (3, 14), go down and right to (4, 10), go up and right to (5, 16), and go down and right to stop at (6, 13). A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect…
b and c part
Q. 16. step by stepsolutiomn please Scatter plots and Equations of Lines, Writing an Equation for a trend line Which graph shows the best trend line for the following data Practice (weeks) 6 8 10 12 14 16 18 Score 15.5 21.5 26.5 34 33 37 41
What percentage of the variation in infant mortality rate is explained by this model? Based on the results of the ANOVA table, is this a good model and why or why not? Is the relationship between percentage of GDP spent on healthcare and infant mortality rate statistically significant? What is the direction of the relationship? For each one percent increase in percentage of GDP spent on health care, we would expect the infant mortality rate to ________ (increase or decrease) by _____.
he general fund revenue receipts for a particular U.S. state for 2003 (period 1) General Fund ($ billions) Year Period 2003 1 2004 888888888 01 2015 General Fund Revenue Receipts ($ billions) 210987 02 Period What type of pattern exists in the data The time series plot shows. horizontal pattern O The time series plot shows a nonlinear trend. O The time series plot shows a seas The time series plot shows a linear trend. (b) Develop a linear trend equation. General Fund Revenue Receipts ($ billions) NEO (c) What is the forecast (in billions of dollars) for period: (Round your answer to three s billion Ⓒ General Fund Revenue Receipts ($billions) == NHO Period NIORBTINIO BER General Fund Revenue Receipts ($ billions) e
In the theory of time series, earthquakes can be considered as a. Seasonal Variation b. Cyclical Variation c. Irregular Variations d. Secular Trend

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