Assuming that trend is absent, determine if there is any seasonality inthe data given below :Ist Quarter3rd Quarter4th QuarterIIIT TYear2nd Quarter20142015201620174.13.94.14.43.33.63.33.53.63.14.03.73.74.03.34.0What are the seasonal indices for various quarters ?

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Answered: Assuming that trend is absent, det…

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 6 7 Value 21 12 22 14 18 21 14 Round your answers to two decimal places. a. Compute MSE using the most recent value as the forecast for the next period. Mean squared error is What is the forecast for month 8? b. Compute MSE using the average of all data available as the forecast for the next period. Mean squared error is What is the forecast for month 8?
d. Evaluate a seasonally adjusted trend forecasting model. What is the MAD? (Round your answers to 4 decimal places.) $ Sales (Millions) Absolute Error Month Number 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 7 8 1,528 787 779 10 11 12 769 838 773 747 1,584 1,124 775 802 1,316 1,446 751 767 769 841 764 729 Index 1,434 1,057 749 763 1,217 1,331 769 794 770 847 787 761 1,424 1,046 801 828 1,319 1,204 726 745 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 32 33 34 35 36 37 38 39 Trend What is the average monthly trend in book-store sales? (Negative amounts should be indicated by a minus sign. Round your answer to 4 decimal places) Average monthly trend in bookstore sales -1. What are the monthly indexes? (Round your answers to 4 decimal places) Month 1 2 3 4 5 6 Index million dollars per month Forecast MAD-
Using the method of simple averages find the seasonal indices for the following data : Month Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. Year 1996 15 16 18 18 23 23 20 28 29 33 33 38 1997 23 22 28 27 31 28 22 28 32 37 34 44 1998 25 25 35 36 36 30 30 34 38 47 41 53
Assuming that trend is absent, determine if there is any seasonality in the data given below: 3rd Quarter 4th Quarter Year 1st Quarter 2nd Quarter 1977 1978 1979 1980 3.7 3.7 4.0 3.3 4.1 3.9 4.1 4.4 3.3 3.6 3.3 4.0 3.5 3.6 3.1 4.0 what are the seasonal indicies for v arious quarters.
Explain the behavior of the following graphs, as well as the reasons behind the observed behaviors. n is the number of trials. You can use the trend line for interpretation.
llustration 12.12. Fit a trend line by the method of four yearly moving averages to the following time series data: Production of sugar in India Year Production(in lakhs of tonnes) Year Production 1944 5 1951 10 1945 1952 9. 1946 1953 10 1947 1954 11 1948 1955 11 1949 1950 S677 689
Monday Tuesday Wednesday Thursday Friday Week 1 55 40 33 20 70 Week 2 60 48 50 36 63 Week 3 58 44 38 50 72 Week 4 80 40 40 30 64 Instructions: The table above, which shows income (in thousands of dollars) from sales of a particular product over a four week period. Determine the seasonal variation each of the week Hence calculate the average seasonal variation for each day of the week Plot the graph of the original data and then add the trend line obtained using the moving averages Comment briefly on the trend observed on the graph and calculate the sales figure that is likely to be achieved for the next Monday using the trend line
3. Given the following hypothetical data for Gundam Auto Sales Inc. in 2010 (sales in million pesos), using the trend projection technique, forecast the January 2021 value. Month Y (Sales) X (Time) Jan Feb 6.5 1 Mar 4.5 Apr 7 May 4 Jun 8 Jul 5.5 Aug 7 Sep 10 8 Oct 9.5 Nov 9.75 10 Dec 12 11 SUM 92.75 66
The following data show the quarterly sales of a major auto manufacturer for the years 1 through 3. Use multiplicative method to answer the following questions. Year Quarter Sales 160 2 180 3 190 4 170 1 200 2 210 3 260 4 230 3 1 210 2 240 290 260 3 4 26. The equation for the trend line of yearly sales is F, = 567 + 150t. What is the prediction for the sales in year 4? 1200 с. 27. What is the seasonal index for quarter 4 in year 1? a. 1.0 28. What is the average seasonal index for quarter 1? 1.0 29. What is the sales forecast for quarter 1 in Year 4? a. 250 30. What is the sales forecast for quarter 3 in Year 4? a. 340 с. 2.
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
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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.

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Assuming that trend is absent, det ermine if there is any seasonạlity in the data given below: ÍIIT T Year Ist Quarter 2nd Quarter 3rd Quarter 4th Quarter 2014 2015 2016 2017 4.1 3.9 4.1 4.4 3.3 3.6 3.3 4.0 3.5 3.6 3.1 4.0 3.7 3.7 4.0 3.3 What are the seasonal indices for various quarters ?