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The following table shows the Direct Taxes (HK$, in 100 millions) received by Hong Kong Government fro 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 table shows the Direct Taxes (HK$, in 100 millions) received by Hong Kong Government fro 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

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
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The following table shows the Direct Taxes (HK$, in 100 millions) received by Hong Kong Government from 2010 to 2012. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 2010 535 92 15 731 2011 590 152 10 902 2012 704 129 310 979 The following tables are constructed for the calculation of the 4-period moving average and the seasonal factors. Direct Tax 4-period Moving Centered Moving Year Quarter (HK$, in 100 millions) Average Average 2010 1 535 92 343.25 3 15 350.125 357.00 4 731 364.500 372.00 2011 1 590 371.375 370.75 2 152 392.125 413.50 10 427.750 A 4 902 439.125 436.25 2012 1 704 473.750 511.25 129 В 530.50 3 310 4 979 Average value of Quarter У -t 1 224.4375 2 C 3 D 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:The following table shows the Direct Taxes (HK$, in 100 millions) received by Hong Kong Government from 2010 to 2012. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 2010 535 92 15 731 2011 590 152 10 902 2012 704 129 310 979 The following tables are constructed for the calculation of the 4-period moving average and the seasonal factors. Direct Tax 4-period Moving Centered Moving Year Quarter (HK$, in 100 millions) Average Average 2010 1 535 92 343.25 3 15 350.125 357.00 4 731 364.500 372.00 2011 1 590 371.375 370.75 2 152 392.125 413.50 10 427.750 A 4 902 439.125 436.25 2012 1 704 473.750 511.25 129 В 530.50 3 310 4 979 Average value of Quarter У -t 1 224.4375 2 C 3 D 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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