Question 5The following table shows the Direct Taxes (HKS, in 100 millions) received by Hong Kong Government from2010 to 2012.YearQuarter 1Quarter 2Quarter 3Quarter 4201053592157312011590152109022012704129310979The following tables are constructed for the calculation of the 4-period moving average and the seasonalfactors.Direct Tax4-period Moving Centered MovingYearQuarter(HK$, in 100 millions)AverageAverage20101535292343.25315350.125357.004731364.500372.002011590371.375370.752152392.125413.50310427.750A902439.125436.252012704473.750511.252129В530.503104979Average value ofQuartery -t1224.437523D4414.6875(a) Find the values of A, B, C, and D.(b) Hence, find the seasonal factor for each quarter.(c) In general, within a year, which quarter the Government receives the highest amount of Direct Taxes?|||||

a) 4-period moving average: C: Consider, the values of (y-t), Year Quarter y t(center moving…

Answered: (a) Find the values of A, B, C, and D.…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?
QUESTION 1 Weekly closing prices (in RM) for Telstra for Sept 2015 - October 2015 is as follows: Week Share Price 1 3.47 2 3.58 3 3.41 4 3.39 5 3.25 6 3.40 7 3.35 8 3.51 9 3.41 10 3.41 Solve: 1. Use a 3 week moving average (SMA) to forecast the price for week 11. 2. Use a 3 week weighted moving average (WMA) to forecast the price for week 11. Use the weight of 3 for the latest period, 2 for the second latest period and 1 for the third latest period. 3. Use the exponential moving average (EMA) forecast to forecast price for week 11. Use α = 0.2 as the smoothing constant. Initial week 1 forecast was 3.47. 4. Which forecast gave the best result? Use MAD to find out. QUESTION 2 Sales of Cool Man air conditioners have grown steadily during the past five years: Year Sales 1 450 2 495 3 518 4 563 5 584 6 ? *The sales manager predicted that year 1 sales would be 450 air conditioners. Solve: 1. Using α = 0.30, develop forecast for year 2…
Question two: Calls to a dispatching emergency center for the past 24 weeks are shown in the following table: a- Use a 3-weighted moving average, with weights in descending order from recent to oldestwith w1=2w2, w2=2w3 b- Find the MAD and MAPE of part ac- Plot the table and give at least three observations from the plot.

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(a) Find the values of A, B, C, and D. (b) Hence, find the seasonal factor for cach quarter.