Illustration 12.22. From the following series of annual data, forwhich the trend values have already been calculated, isolate cyclicalfuctuations.Year193119321933193419351936Actual value170231261267278302287Trend value228239251263275Year1937193819391940194119421943Actual valuc299298340273210158173Trenl value299311323334346358370

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Answered: Illustration 12.22. From the following…

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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A company estimates its sales for a particular year to be Rs. 24,00,000. The seasonal indices for sales are as follows: Seasonal Index 75 Month Seasonal Index Month July August September October 102 104 January February March 80 100 98 128 137 102 April May June November 82 119 December 73 Using this information, calculate estimates of monthly sales of the company, Assume that there is no trend). (Delhi Univ., B. Com., Hons., 1979
Which one of the following variations are residual variations? a. Secular Trend b. Cyclic c. Seasonal d. Irregular
John Kittle, an independent insurance agent, uses a five-year moving average to forecast the number of claims made in a single year for one of the large insurance companies he sells for. He has just discovered that a clerk in his employ incorrectly entered the number of claims made four years ago as 1,400 when it should have been 1,200.a. What adjustment should Mr. Kittle make in next year’s forecast to take into account the corrected value of the number of claims four years ago?b. Suppose that Mr. Kittle used simple exponential smoothing with a = .2instead of moving averages to determine his forecast. What adjustment is now required in next year’s forecast? (Note that you do not need to know the value of the forecast for next year in order to solve this problem.)
Given below are the seasonal indices of sales of a firm for the year 1998 : Month Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. S.I. : 106 .105 101 104 98 96 93 89 92 102 106 108 Find the estimates of the monthly sales during the year '98 if, the firm is expecting a total sales of Rs. 36,00,000.
2.5 2.0 15 1.0 0.5 Incarcerated Americans 1920-2014 Prison Jail 0 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 Year Juvenile Detention 6. Describe the trend depicted in this ch 7. What impact do you think this trend has had on the public defender system? depic
For the Texas Shipping Company, the monthly percentages of all shipments received on time over the past 12 months are 82, 86, 87, 89, 84, 85, 84, 86, 75, 95, 90, and 92. a. Construct a time series plot (you can include it in the work file question at the end, not here). Identify what type of pattern, if any, exists in the data? Compare the three-month moving average forecast with an exponential smoothing forecast for alpha= 0.25 and answer the following: b. MSE for 3-month moving average method c. MSE for exponential-smoothing method : d. Which method should be preferred? Answer "3-month MA" or "Exponential Smoothing": e. What is the forecast for next month using the preferred method?
If an asset declines in value from $5000 to $3500 over nine years, what is the mean annual growth rate in the asset's value over these nine years?
(b) Estimate the standard errors of the slope and intercept. Round your answer to three decimal places (e.g. 98.765) se B, Round your answer to two decimal places (e.g. 98.76) se(bo ) = I (c) Test the hypothesis Ho: B1 = 10 versus H1:ß1 + 10using a = 0.01. v Họ and conclude the slope 10 at a = 0.01. (d) Test the hypothesis Ho: Bo = 0 versus H1: Bo # 0 using a = 0.01. Họ and conclude that the intercept v be included in the model.
Suppose the rate of return for a particular stock during the past two years was 10% and - 45%. Compute the geometric mean rate of return. The geometric mean rate of return is %. (Round to one decimal place as needed.)
(e) Test the hypothesis Ho : B1 = 10 versus H1 :ß, # 10 using a = 0.01. Ho and conclude the slope v 10 at a = 0.01. (d) Test the hypothesis Ho : Bo = 0 versus H1 : Bo + 0 using a = 0.01. Ho and conclude that the intercept be included in the model.
Which of the following is not a good interpretation of a seasonal index of 1.26 for fall quarter sales? O a. Fall quarter sales are 26 perbent higher than the annual average. O b. Fall quarter sales represents 1.26 times the annual average. O c. Fall quarter sales represents an increase of 26 percent over last year's annual average. O d. Fall quarter sales average 126 percent of annual sales.
Calculate the seasonal variation indices by the method of link relatives for the following figures : Quarterly Figures for Five Years Yrs. 1994 1995 1996 1997 1998 Qrs. 45 48 49 62 60 63 65 70 56 63 II 54 III 72 70 75 83 IV 60 56 65 72 86

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