47. Fit a parabolic trend to the following time-series data and estimate theproduction in 2022 :Year2011201220132014201520162017Production4249627592122158(in '000 units)

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Answered: 47. Fit a parabolic trend to the…

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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1 - A simple exponential smoothing model has a current mean of 156.8. Assuming demand for next period is 170, update the value of the smoothing statistic. Let a = 0.1. 2- An electronics company has sold 145, 157, 124, 169,179, 201, 197, and 230 units of a certain stereo system quarterly for the past two years. Plot the data and fit an appropriate model. Forecast sales for the next two quarters.
Suppose sales for the past 6 months have been100, 90, 84, 113, 92, and 96 Using a smoothing coefficient of 0.5, what is the exponentially smoothed value for the 4th period? (please round your answer to 1 decimal place)
Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective growth rate?
Suppose sales for the past 6 months have been82, 104, 107, 116, 92, and 116 Using a smoothing coefficient of 0.5, what is the exponentially smoothed value for the 3rd period? (please round your answer to 1 decimal place)
Six years of quarterly data of a seasonally adjusted series are used to estimate a linear trend model as T t=181.60 + 1.44t. In addition, quarterly seasonal indices are calculated as § 1= 0.85, § 2= 0.91, Ŝ 3 = 116, and § 4= 119. a-1. Interpret the first quarterly index. In other words, what is the value of the series in the first quarter as compared to the average? 15% above O 85% below O 15% below 85% above a-2. Interpret the fourth quarterly index. In other words, what is the value of the series in the fourth quarter as compared to the average? O 81% above O 19% above 19% below O 81% below b. Make a forecast for all four quarters of next year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Quarter 1 Quarter 2 Quarter 3 Quarter 4
A statistical program is recommended. Suppose the following table shows a company's annual revenue (in billions of dollars) for 2012 (period 1) to 2017 (period 6). Year Period Sale ($ Billions) 2012 2013 2014 2015 2016 2017 1 2 3 4 5 6 1.54 1.83 2.4 3.17 3.58 4.14

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47. Fit a parabolic trend to the following time-series data and estimate the production in 2022 : Year 2011 2012 2013 2014 2015 2016 2017 Production 42 49 62 75 92 122 158 (in '000 units)