Answer A through E Consider the following time series data.QuarterYear 1Year 2Year 3146722363354578(a) Choose the correct time series plot.(i)(ii)8.6.Year 2.Quarter 1 Quarter 2 Quarter 3 Quarter a Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter3 Quarter 4Year 1. Year 1.Year 1.Year 1. Year 1.Year 1.Year 2Year 2, Year 3,Year 1.Year 2Year 2,Year 2,Year 3,Year 3, Vear 3.Year 3,Year 3,Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4Year 1.Year 2.Year 2,Year 3,Vear 3,,Time PeriodTime Period(iii)(iv)8.Year 2,Quarter 1 Quarter 2 Quarter 3 Quarter a Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4Year 1.Year 1.Year 1. Year 1,Year 2.Year 2.Vear 2,Year 3.Year 3,Year 3.Year 3.Year 1.Year 2,Year 2,Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter i Quarter 2 Quarter 3 Quarter 4Year 1.Year 1.Year 1.Year 2.Year 2, Year 3,Year 3,Year 3,Year 3,Time PeriodTime PeriodSelect your answer - +What type of pattern exists in the data?Select your answer - (b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtrl = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 ifQuarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is asign before the blank. (Example: -300) If theconstant is "1" it must be entered in the box. Do not round intermediate calculation.Value =Qtr,Qtr, +Qtr3(c) Compute the quarterly forecasts for next year based on the model you developed in part (b).If required, round your answers to three decimal places. Do not round intermediate calculation.Quarter 1 forecastQuarter 2 forecastQuarter 3 forecastQuarter 4 forecast(d) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonaleffects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,.. t = 12 for Quarter 4 in Year 3.If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)Value =Qtr; +Qtr, +Qtr, +(e) Compute the quarterly forecasts for next year based on the model you developed in part (d).Do not round your interim computations and round your final answer to three decimal places.Quarter 1 forecastQuarter 2 forecastQuarter 3 forecastQuarter 4 forecast

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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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Consider the following time series data. Month 1 2 3 4 5 6 7 Value 23 12 19 11 18 22 14 (a) Construct a time series plot. A time series plot contains a series of 7 points connected by line segments. The horizontal axis ranges from 0 to 8 and is labeled: Month. The vertical axis ranges from 0 to 30 and is labeled: Time Series Value. The points are plotted from left to right at regular increments of 1 month starting at month 1. The points appear to vary randomly between 6 to 18 on the vertical axis. The plot reaches its maximum time series value at month 1. A time series plot contains a series of 7 points connected by line segments. The horizontal axis ranges from 0 to 8 and is labeled: Month. The vertical axis ranges from 0 to 30 and is labeled: Time Series Value. The points are plotted from left to right at regular increments of 1 month starting at month 1. The points appear to vary randomly between 11 to 23 on the vertical axis. The plot reaches its maximum time…
Consider the following time series data. a. Show the four-quarter and centered moving average values for this time series (to 3 decimals if necessary). b. Compute seasonal indexes and adjusted seasonal indexes for the four quarters (to 3 decimals).
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Consider the following time series data: Month 1 2 3 4 5 6 7 Value 23 15 20 12 18 22 15 (a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? (b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE: The forecast for month 8: (c) Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE: The forecast for month 8: (d) Compare the three-month moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE? (e) Use trial and error to find a value of the exponential smoothing…
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The elevation of a lake surface (feet above sea level) varies according to the annual flow of a river that feeds it. A geological survey provided the following data from equally spaced intervals of time over a 15 year period. Time Period Elevation 1 4817 2 4819 3 4824 4 4822 5 4826 6 4831 7 4836 8 4837 9 4839 10 4837 11 4832 12 4827 13 4823 14 4818 15 4817 Make a time-series graph displaying the data.
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Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 6 7 2 3 6 4 5 7 8 (a) Choose the correct time series plot. (i) (ii) 6. 4. 3.