(a) Using a weight of for the most recent observation, for the second most recent observation, and for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)

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These data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.
Sales (1,000s
of gallons)
Week
1
2
3
4
5
6
7
8
9
10
11
12
17
21
19
23
18
16
20
18
22
20
15
22
Transcribed Image Text:These data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Sales (1,000s of gallons) Week 1 2 3 4 5 6 7 8 9 10 11 12 17 21 19 23 18 16 20 18 22 20 15 22
1
(a) Using a weight of -
for the most recent observation, for the second most recent observation, and for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)
Week
1
2
3
4
5
10
6
7
8
9
10
11
12
Time Series
Value
17
21
19
23
18
16
20
18
22
20
15
22
Weighted Moving
Average Forecast
21.33
23.33
21.83
19.83
19.33
18.67
20.33
20.33
17.83
x
Ix
x x
X
x
(b) Compute the MSE for the weighted moving average in part (a). (Round your answer to two decimal places.)
MSE = 10.90
X
Transcribed Image Text:1 (a) Using a weight of - for the most recent observation, for the second most recent observation, and for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.) Week 1 2 3 4 5 10 6 7 8 9 10 11 12 Time Series Value 17 21 19 23 18 16 20 18 22 20 15 22 Weighted Moving Average Forecast 21.33 23.33 21.83 19.83 19.33 18.67 20.33 20.33 17.83 x Ix x x X x (b) Compute the MSE for the weighted moving average in part (a). (Round your answer to two decimal places.) MSE = 10.90 X
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