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.)

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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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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
LOADING...
is the performance criterion chosen by the​ administration, which forecasting method should it​ choose?
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.)
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