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 scasonal factors. Direct Tax 4-period Moving Centered Moving Year Quarter (HKS, in 100 millions) Average Average 2010 1 535 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 4 902 439.125 436.25 2012 704 473.750 511.25 129 В 530,50 310 4 979 Average value of Quarter y -t 1 224.4375 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?
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 scasonal factors. Direct Tax 4-period Moving Centered Moving Year Quarter (HKS, in 100 millions) Average Average 2010 1 535 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 4 902 439.125 436.25 2012 704 473.750 511.25 129 В 530,50 310 4 979 Average value of Quarter y -t 1 224.4375 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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
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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
(HKS, 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
152
392.125
413.50
3
10
427.750
A
4
902
439.125
436.25
2012
704
473.750
511.25
129
В
530.50
3
310
4
979
Average value of
Quarter
y -t
1
224.4375
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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