Question
In: Statistics and Probability
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 |
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 |
Is the time-series covariance-stationary? Justify your answer.
Solutions
Expert Solution
ANSWER:
Formula Ref: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 2 years 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 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...
We consider data on weekly sales for coffee. Data has n = 18 weeks of coffee...
We consider data on weekly sales for coffee. Data has n = 18
weeks of coffee sales in Q units, the deal rate (D = 1 for usual
price, = 1.05 in weeks with 5% price reduction, and = 1.15 in weeks
with 15% price reduction), and advertisement (A = 1 with
advertisement, = 0 otherwise)
Model = log(Q) = B0 + B1D + B2A + u
estimate by OLS -> log(Q) = 0.701 (0.415) + 0.756D (0.091) +
0.242A...
We consider data on weekly sales for coffee. Data has n = 18 weeks of coffee...
We consider data on weekly sales for coffee. Data has n = 18
weeks of coffee sales in Q units, the deal rate (D = 1 for usual
price, = 1.05 in weeks with 5% price reduction, and = 1.15 in weeks
with 15% price reduction), and advertisement (A = 1 with
advertisement, = 0 otherwise)
Model = log(Q) = B0 + B1D + B2A + u
estimate by OLS -> log(Q) = 0.701 (0.415) + 0.756D (0.091) +
0.242A...
The following data are the the weights of 25 students recorded as follows: 39, 43, 36,...
The following data are the the weights of 25 students recorded
as follows: 39, 43, 36, 38, 46, 51, 33, 44, 44, 43, 63, 23, 35, 39,
23, 24, 33, 36, 49, 21, 30, 32, 33, 35, 36
Find the Mean, Median, Q1, Q3, IQR, Outliers (If there are no
outliers, write "None")
a) Without sketching the graph, reason and explain whether the
distribution is symmetric or skewed.
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Consider the following time series data.
Consider the following time series data. Week123456Value181516131716a. Choose the correct time series plot.What type of pattern exists in the data? b. Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. WeekTime Series ValueForecast118215316413517616 MSE: The forecast for week 7: c. Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. WeekTime Series ValueForecast118215316413517616MSE: The...
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,...
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
product over the past 10 months.
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
this time series. Compute MSE and a forecast for month 11.
c. ...
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