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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Elementary Statistics
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
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
2
152
392.125
413.50
10
427.750
4
902
439.125
436.25
2012
1
704
473.750
511.25
129
530.50
3
310
4
979
Average value of
Quarter
y-t
Transcribed Image Text:Elementary Statistics 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 704 310 979 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 2 152 392.125 413.50 10 427.750 4 902 439.125 436.25 2012 1 704 473.750 511.25 129 530.50 3 310 4 979 Average value of Quarter y-t
verage
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
152
392.125
413.50
10
427.750
A
4
902
439.125
436.25
2012
1
704
473.750
511.25
129
530.50
3
310
4
979
Average value of
Quarter
y - t
1
224.4375
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:verage Average 2010 1 535 92 343.25 3 15 350.125 357.00 4 731 364.500 372.00 2011 590 371.375 370.75 152 392.125 413.50 10 427.750 A 4 902 439.125 436.25 2012 1 704 473.750 511.25 129 530.50 3 310 4 979 Average value of Quarter y - t 1 224.4375 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?
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman