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

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

MATLAB: An Introduction with Applications
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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Question 5 The following table shows the Direct Taxes (HKS, in 100 millions) received by Hong Kong Government from 2010 to 2012. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 2010 535 92 15 731 2011 590 152 10 902 2012 704 129 310 979 The following tables are constructed for the calculation of the 4-period moving average and the seasonal factors. Direct Tax 4-period Moving Centered Moving Year Quarter (HK$, in 100 millions) Average Average 2010 1 535 2 92 343.25 3 15 350.125 357.00 4 731 364.500 372.00 2011 590 371.375 370.75 2 152 392.125 413.50 3 10 427.750 A 902 439.125 436.25 2012 704 473.750 511.25 2 129 В 530.50 310 4 979 Average value of Quarter y -t 1 224.4375 2 3 D 4 414.6875 (a) Find the values of A, B, C, and D. (b) Hence, find the seasonal factor for each quarter. (c) In general, within a year, which quarter the Government receives the highest amount of Direct Taxes? |||||
Transcribed Image Text:Question 5 The following table shows the Direct Taxes (HKS, in 100 millions) received by Hong Kong Government from 2010 to 2012. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 2010 535 92 15 731 2011 590 152 10 902 2012 704 129 310 979 The following tables are constructed for the calculation of the 4-period moving average and the seasonal factors. Direct Tax 4-period Moving Centered Moving Year Quarter (HK$, in 100 millions) Average Average 2010 1 535 2 92 343.25 3 15 350.125 357.00 4 731 364.500 372.00 2011 590 371.375 370.75 2 152 392.125 413.50 3 10 427.750 A 902 439.125 436.25 2012 704 473.750 511.25 2 129 В 530.50 310 4 979 Average value of Quarter y -t 1 224.4375 2 3 D 4 414.6875 (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? |||||
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