Question

Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.

Week | Sales (1,000s of gallons) |
---|---|

1 | 16 |

2 | 20 |

3 | 18 |

4 | 22 |

5 | 17 |

6 | 15 |

7 | 20 |

8 | 18 |

9 | 22 |

10 | 20 |

11 | 15 |

12 | 22 |

a) using a weight of 1/2 for the most recent observation, 1/3 for the second most recent observation, and 1/6 for third recent observation, compute a three-week weighted moving average for time series. (Round your answers to two decimal places)

decimal places.)

Week | Time Series Value |
Weighted Moving Average Forecast |
---|---|---|

1 | 16 | |

2 | 20 | |

3 | 18 | |

4 | 22 | |

5 | 17 | |

6 | 15 | |

7 | 20 | |

8 | 18 | |

9 | 22 | |

10 | 20 | |

11 | 15 | |

12 | 22 |

b) Compute the MSE for the weighted moving average in part (a)

Answer #1

Suppose these data show the number of gallons of gasoline sold
by a gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
15
2
19
3
17
4
21
5
16
6
14
7
22
8
20
9
24
10
22
11
17
12
24
(a)Using a weight of 1/2 for the most recent observation, 1/3
for the second most recent observation, and 1/6 for third most
recent observation, compute a three-week weighted...

Suppose these data show the number of gallons of gasoline sold
by a gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
17
2
21
3
19
4
23
5
18
6
16
7
18
8
16
9
20
10
18
11
13
12
20
(a) Using a weight of 1/2 for the most recent observation, 1/3
for the second most recent observation, and 1/6 for third most
recent observation, compute a three-week...

These data show the number of gallons of gasoline sold by a
gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
17
2
21
3
19
4
23
5
18
6
16
7
20
8
18
9
22
10
20
11
15
12
22
(a)
Compute four-week and five-week moving averages for the time
series.
Week
Time Series
Value
4-Week
Moving
Average
Forecast
5-Week
Moving
Average
Forecast
1
17
2
21
3
19...

Consider the following gasoline sales time series data.
Week
Sales (1000s of gallons)
1
18
2
22
3
20
4
24
5
17
6
15
7
19
8
17
9
23
10
19
11
14
12
23
a. Using a weight of 1/2 for the most recent
observation, 1/3 for the second most recent observation, and 1/6
third the most recent observation, compute a three-week weighted
moving average...

Consider the following gasoline sales time series data. Click on
the datafile logo to reference the data.
Week
Sales (1000s of gallons)
1
16
2
20
3
19
4
23
5
19
6
15
7
19
8
17
9
23
10
20
11
15
12
21
a. Using a weight of (1/2) for the most recent
observation, (1/3) for the second most recent observation, and
(1/6) third the...

Refer again to the gasoline sales time series data in the
following table.
Week
Sales (1000s of gallons)
1
18
2
22
3
20
4
26
5
18
6
17
7
21
8
19
9
23
10
23
11
16
12
24
Using a weight of 1/2 for the most recent observation, 1/3 for
the second most recent, and 1/6 for third most recent, compute a
three-week weighted moving average for the time series. Use rounded
for two decimal places...

Suppose these data show the number of gallons of gasoline sold
by a gasoline distributor in Bennington, Vermont, over the past 12
weeks.
Week
Sales (1,000s
of gallons)
1
21
2
25
3
23
4
27
5
22
6
20
7
24
8
22
9
26
10
24
11
19
12
26
Show the exponential smoothing forecasts using α = 0.1.
(Round your answers to two decimal places.)
Week
Time Series
Value
Forecast
1
21
2
25
3
23
4...

Week
Sales (1000s of gallons)
1
16
2
22
3
19
4
24
5
18
6
15
7
19
8
19
9
23
10
20
11
16
12
23
a. Using a weight of 1/2 for the most recent
observation, 1/3 for the second most recent observation, and 1/6
third the most recent observation, compute a three-week weighted
moving average for the time series (to 2 decimals). Enter...

Refer to the gasoline sales time series data in the given
table.
Week
Sales (1,000s of gallons)
1
16
2
22
3
17
4
23
5
15
6
17
7
21
8
19
9
20
10
18
11
15
12
23
(a)
Compute four-week and five-week moving averages for the time
series.
If required, round your answers to two decimal places.
Week
Sales
4 Period
Moving Average
5 period
Moving Average
1
16
2
22
3
17
4
23
5...

Refer to the gasoline sales time series data in Table 8.1.
Compute four-week and five-week moving averages for the time
series. Compute the MSE for the four-week and five-week moving
average forecasts. What appears to be the best number of weeks of
past data (three, four, or five) to use in the moving average
computation? Recall that the MSE for the three-week moving average
is 10.22.
Week
Sales (1000s of gallons)
1
17
2
21
3
19
4
23
5...

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