trend and short-term fluctuations of the given data:year:1968 1969 1970 1971 1972 1973 1974 1975production:2122232524222526year:1976 1977production:2726 Illustration 12.29. Using 3-year moving average, determine the

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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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The following is the data of the production of corona vaccine (Pfizer) for last few months. Using the moving average of 5 months determine the trend of production of corona vaccine. Month February March April Мay June July Production (units) 400 600 500 600 700 600 O a. 560 and 600 O b. 450 and 550 O C. 500 and 600 O d. 500 and 560
Obtain the straight line trend equation and tabulate against each year the trend and short term fluctuations : 1997 1998 1996 670 1992 1993 1994 1995 1990 380 Year : 1991 Value : 400 650 720 690 620 950 1040
The quarterly earnings of a large soft drink company have been recorded for the period 2014 - 2017. These data (in millions of rupees) are shown in the accompanying table. Year Quarter Sales Centered moving average 2014 1 52 2 67 3 85 62.03 4 54 63.38 2015 1 57 66.63 2 75 65.16 3 90 67.99 4 61 70.94 2016 1 60 70.55 2 77 73.61 3 94 71.57 4 63 72.84 2017 1 66 73.68 2 82 76.02 3 98 4 67 Find the seasonal index values using the moving averages. The trend line with de-seasonalised series was found as: Y = 62.09 + 1.14t where t is the quarter number ( t=1 for the first quarter 2014). Find the forecasted sales for the four quarters of year 2017.
Given the following data, calculate the three-month moving average forecasts formonths 4, 5, 6, and 7
Technicians use moving-average lines to detect changes in trends by observing the interaction between the price of an asset and its moving average over a specific period. Consider a stock whose price data over the past 10 days are as follows: Day 1 2 3 4 5 6 7 8 9 10 Stock Price ($) 54.50 54.25 55.75 56.50 57.25 56.00 54.75 53.25 52.50 53.00 5-Day Simple Moving Average ($) Trend Assume a simple moving average (SMA) is calculated over a 5-day period. Calculate the SMA for each day, and based on the SMA, identify any potential changes in the trend during the 10-day period.
The following table present quarterly sales for a company over the three years (a) Fit the trend as a linear function of time t and predict the sales for the 4th year? Year 2 Year 3 309 405 326 429 369 446 416 465 quarter 1 2 3 4 Year 1 241 263 273 292
4
Amex PLC has gathered following information on the sales of face mask from April 2020 to September 2020. Month Sales ($) April 17,000 May 18,000 June 19,500 July 22,000 August 21,000 September 23,000 You are required to; a. Using linear trend equation forecast the sales of face masks for October 2020. b. Calculate the forecasted sales difference if you use 3-period weighted moving average designed with the following weights: July 0.2, August 0.3 and September 0.5.
The following time series shows the sales of supermarket chain over the last six months. Month Sales ($ 000) August 2021 250 Sep 2021 280 Oct 2021 295 Nov 2021 320 Dec 2021 380 Jan 2022 360 Develop a linear trend equation that can be used to forecast sales in Feb 2022. Forecast the sales in Feb 2021 using a three-period weighted moving average designed with the following weights: Nov 2021 weight 0.6, Dec 2021 weight 0.3 and Jan 2022 weight 0.1. Which method (A or B) is the best? Explain why.
a. Obtain the linear trend equation for the following data on new checking accounts at Fair Savings Bank and use it to predict expected new checking accounts for periods 16 through 19. (Round your intermediate calculations and final answers to 2 deci places.) Period New Accounts Period, New Accounts Period New Accounts 1 2 3 4 Y Y16 Y17 Y18 Y19 200 214 211 220 235 6 7 8 9 10 237 248 250 258 267 11 12 13 14 15 281 275 287 288 316

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trend ánd short-term fluctuations of the given data: year: 1968 1969 1970 1971 1972 1973 1974 1975 production: 21 22 23 25 24 22 25 26 year: 1976 1977 production: 27 26