A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it should continue to carry the new brand or replace it with another brand. The following table provides the number of cans sold per week. Use both the trend projection with regression and the exponential smoothing (let α=0.4 with an initial forecast for week 1 of 581) methods to forecast demand for week 13. Compare these methods by using the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much? Period 1 2 3 4 5 6 7 8 9 10 11 12 Sales 581 623 640 731 668 613 759 696 763 724 659 759 Part 2 (i) Obtain the trend projection with regression forecast. The forecast for week 13 is enter your response here. (Enter your response rounded to the nearest whole number.)
A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it should continue to carry the new brand or replace it with another brand. The following table provides the number of cans sold per week. Use both the trend projection with regression and the exponential smoothing (let α=0.4 with an initial forecast for week 1 of 581) methods to forecast demand for week 13. Compare these methods by using the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much? Period 1 2 3 4 5 6 7 8 9 10 11 12 Sales 581 623 640 731 668 613 759 696 763 724 659 759 Part 2 (i) Obtain the trend projection with regression forecast. The forecast for week 13 is enter your response here. (Enter your response rounded to the nearest whole number.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it should continue to carry the new brand or replace it with another brand. The following table provides the number of cans sold per week. Use both the trend projection with regression and the exponential smoothing (let
α=0.4
with an initial forecast for week 1 of
581)
methods to forecast demand for week
13.
Compare these methods by using the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much?
Period
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Sales
|
581
|
623
|
640
|
731
|
668
|
613
|
759
|
696
|
763
|
724
|
659
|
759
|
Part 2
(i) Obtain the trend projection with regression forecast.
The forecast for week
13
is
enter your response here.
(Enter your response rounded to the nearest whole number.)part 2.
The number of heart surgeries performed at Heartville General Hospital has increased steadily over the past several years. The hospital's administration is seeking the best method to forecast the demand for such surgeries in year 6. The data for the past five years are shown below.
Year
|
1
|
2
|
3
|
4
|
5
|
Demand
|
43
|
47
|
51
|
57
|
62
|
The hospital's administration is considering the following forecasting methods. Begin error measurement in year 3, so all methods are compared for the same years.
i.
|
Exponential smoothing, with
α
= 0.6. Let the initial forecast for year 1 be
43,
the same as the actual demand. |
ii.
|
Exponential smoothing, with
α
= 0.9. Let the initial forecast for year 1 be
43,
the same as the actual demand. |
iii.
|
Trend projection with regression.
|
iv.
|
Two-year moving average.
|
v.
|
Two-year weighted moving average, using weights 0.6 and 0.4, with the more recent data given more weight.
|
Part 2
If
MAD
is the performance criterion chosen by the administration, which forecasting method should it choose?
LOADING...
▼
part 3.
The manager of Alaina's Garden Center must make the annual purchasing plans for rakes, gloves, and other gardening items. One of the items the company stocks is Fast-Grow, a liquid fertilizer. The sales of this item are seasonal, with peaks in the spring, summer, and fall months. Quarterly demand (in cases) for the past two years is as follows:
Quarter
|
Year 1
|
Year 2
|
1
|
41
|
64
|
2
|
343
|
443
|
3
|
288
|
332
|
4
|
203
|
281
|
Total
|
875
|
1,120
|
If the expected sales for Fast-Grow are
1,281
cases for year 3, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. (Round all intermediate calculations to three decimal places.)Part 2
The first quarter forecast is
enter your response here
cases. (Enter your response rounded to the nearest whole number.)part 4.
The manager of a utility company in the Texas panhandle wants to develop quarterly forecasts of power loads for the next year. The power loads are seasonal, and the data on the quarterly loads in megawatts (MW) for the last four years are as follows:
Quarter
|
Year 1
|
Year 2
|
Year 3
|
Year 4
|
1
|
100.9
|
96.4
|
123.8
|
109.7
|
2
|
126.1
|
116.3
|
158.7
|
132.6
|
3
|
142.3
|
135.4
|
162.3
|
152.4
|
4
|
163.2
|
159.6
|
178.4
|
169.0
|
The manager estimates the total demand for the next year at
683
MW. Use the multiplicative seasonal method to develop the forecast for each quarter. (Round all intermediate calculations to three decimal places.)Part 2
The first quarter forecast is
enter your response here
MW. (Enter your response rounded to one decimal place.)Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 14 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman