Question
In: Statistics and Probability
Consider the following times-series where the data is recorded weekly Data collected over 36 week t...
Consider the following times-series where the data is recorded weekly
Data collected over 36 week
|
t |
X |
t |
X |
t |
X |
t |
X |
t |
X |
t |
X |
|
1 |
9.8 |
7 |
36.4 |
13 |
53.4 |
19 |
99.2 |
25 |
105.3 |
31 |
141.3 |
|
2 |
9.0 |
8 |
51.0 |
14 |
66.6 |
20 |
90.4 |
26 |
116.7 |
32 |
151.8 |
|
3 |
10.5 |
9 |
51.1 |
15 |
70.6 |
21 |
91.2 |
27 |
113.2 |
33 |
151.1 |
|
4 |
20.6 |
10 |
46.9 |
16 |
76.4 |
22 |
94.9 |
28 |
120.5 |
34 |
156.4 |
|
5 |
28.1 |
11 |
50.5 |
17 |
88.4 |
23 |
94.2 |
29 |
124.2 |
35 |
155.9 |
|
6 |
28.3 |
12 |
58.5 |
18 |
98.6 |
24 |
104.1 |
30 |
130.2 |
36 |
160.0 |
Does the time-series seem to follow a trend? If yes, which type of trend? Justify your answer.
Solutions
Expert Solution
Formula Ref:
Does the time-series seem to follow a trend? If yes, which type of trend?
Yes, the trend is linear. (Refer the charts)
orchestra answered 1 year agoRelated Solutions
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
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Consider the following time series data.
Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
5
8
10
2
2
4
8
3
1
4
6
4
3
6
8
(b)
Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.
If required,...
Consider the time-series data in columns A and B on the below (picture). Week (A) Value...
Consider the time-series data in columns A and B on the below
(picture).
Week (A)
Value (B)
1
24
2
13
3
20
4
12
5
19
6
23
7
15
a. Using the naive method, develop a forecast for this time
series. Compute MSE and MAPE. Show the forecast for week 8.
b. Using all previous values, develop a forecast for this time
series. Compute MSE and MAPE. Show the forecast for week 8.
c. Develop a three-week moving...
Consider the time-series data in columns A and B on the below (picture). Week (A) Value...
Consider the time-series data in columns A and B on the below
(picture).
Week (A)
Value (B)
1
24
2
13
3
20
4
12
5
19
6
23
7
15
a. Using the naive method, develop a forecast for this time
series. Compute MSE and MAPE. Show the forecast for week 8.
b. Using all previous values, develop a forecast for this time
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c. Develop a three-week moving...
The following times series shows the demand for a particular product over the past 10 months....
The following times series shows the demand for a particular
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Month
1
2
3
4
5
6
7
8
9
10
Value
324
311
303
314
323
313
302
315
312
326
a. Use α = 0.2 to compute the
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b. Develop a three-week moving average for
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c. ...
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