Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. consider the quarterly electricity production for

Consider the quarterly electricity production for years 1-4: Year 1 2 3 4 Q1 99 120 139 160 Q2...

Free

90.2K

Verified Solution

Question

Statistics

Consider the quarterly electricity production for years1-4:
Year 1 2 3 4
Q1 99 120 139 160
Q2 88 108 127 148
Q3 93 111 131 150
Q4 111 130 152 170
(a) Estimate the trend using a centered moving average.
(b) Using a classical additive decomposition, calculate theseasonal component.
(c) Explain how you handled the end points. - PLEASEPROVIDE ANSWER C !
Note: Explain all the steps and computations

Answer & Explanation Solved by verified expert
4.0 Ratings (472 Votes)

a) If the end-points are ignored, we obtain the following results:

Year Quarter Obs Simple MA Centred MA
1 1 99
1 2 88
97.75
1 3 93 100.375
103
1 4 111 105.5
108
2 1 120 110.25
112.5
2 2 108 114.875
117.25
2 3 111 119.625
122
2 4 130 124.375
126.75
3 1 139 129.25
131.75
3 2 127 134.5
137.25
3 3 131 139.875
142.5
3 4 152 145.125
147.75
4 1 160 150.125
152.5
4 2 148 154.75
157
4 3 150
4 4 170

b)I Because the centered moving average (CMA) contains no seasonality and no or little irregularity, the seasonal component may be estimated by

For example,Seasonal component =93/100.375=0.9265 and calculate other values

Obs Centred MA Seasonal component
93 100.375 0.926525529
111 1055 0.10521327
120 110.25 1.088435374
108 114.875 0.940152339
111 119.625 0.927899687
130 124.375 1.045226131
139 129.25 1.075435203
127 134.5 0.944237918
131 139.875 0.936550492
152 145.125 1.047372954
160 150.125 1.065778518
148 154.75 0.95638126

c) End points ignored. Other approaches are possible.
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Electrical Engineering
1.2K views

Edit the given program to produce the following output in c++ mode: - Take in the name...

Physics
1.2K views

E ax 2 E E Problem 1 The electric field components in Fig 3 26...

Basic Math
1.2K views

Write the expression in terms of sine and cosine and then simplify so that no...

Basic Math
1.2K views

c Determine the equation of the inverse of y log3 x d Express 625 5...

Statistics
1.2K views

Listen A factory produces plate glass with a mean thickness of 4mm and a standard...

Algebra
1.2K views

n+4 <-15A) n<-19: -24 -22 -20 -18 -16B) n>-60 : -66 -64 -62 -60 -58C)...

Accounting
1.2K views

On January 1, 2020, Combi Corporation sold atract of land to its 100% owned subsidiary,...

Accounting
1.2K views

Weygandt, Financial & Managerial Accounting, 2e Help I System Exercise 25-9 (Part Level Submission) You...

Accounting
1.2K views

1.Calculate the total cost per unit of Product B and Product C under the traditional...

Accounting
1.2K views

Question 15 When fixed overhead spending variance is unfavorable, it can be safely assumed...

Accounting
1.2K views

High Country, Incorporated, produces and sells many recreational products. The company has just opened a...

Finance
1.2K views

A pension fund manager is considering three mutual funds. The first is a stock fund,...