The following time series shows the sales of a particular product over the past 12 months. Month Sales 105 2 135 120 4 105 90 6. 120 145 140 100 10 80 11 100 12 110 (a) Construct a time series plot. Mmmm 160 140 160 140 120 100 160 140 120 160 140 120 100 120 100 100 80 80 80 80 60 60 60 60 40 40 40 40 20 20 20 20 0 1 2 34 567 89 10 11 12 13 0 1 2 3 4 567 89 10 11 12 13 0 1 23 456789 10 11 12 13 0 1 2 34 5 67 89 10 11 12 13 Month Month Month Month What type of pattern exists in the data? O The data appear to follow a seasonal pattern. O The data appear to follow a trend pattern. O The data appear to follow a cyclical pattern. O The data appear to follow a horizontal pattern.

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The following time series shows the sales of a particular product over the past 12 months.
Month Sales
1
105
2
135
3.
120
4
105
5
90
6
120
7
145
140
9
100
10
80
11
100
12
110
(a) Construct a time series plot.
160-
160 T
160
160 T
140-
140f
140-
140
120-
120
120
120
100-
100
-
80 -
100
100
80-
80
80
60-
60-
60
60
40+
40
40
40
20-
20
20
20
0-
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0 1 2 3 4 5 6 7 8 9 10 11 12 13
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Month
Month
Month
Month
What type of pattern exists in the data?
O The data appear to follow a seasonal pattern.
O The data appear to follow a trend pattern.
O The data appear to follow a cyclical pattern.
O The data appear to follow a horizontal pattern.
Transcribed Image Text:The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 2 135 3. 120 4 105 5 90 6 120 7 145 140 9 100 10 80 11 100 12 110 (a) Construct a time series plot. 160- 160 T 160 160 T 140- 140f 140- 140 120- 120 120 120 100- 100 - 80 - 100 100 80- 80 80 60- 60- 60 60 40+ 40 40 40 20- 20 20 20 0- 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Month Month Month Month What type of pattern exists in the data? O The data appear to follow a seasonal pattern. O The data appear to follow a trend pattern. O The data appear to follow a cyclical pattern. O The data appear to follow a horizontal pattern.
(b) Use a = 0.4 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.)
Time Series Value
Month t
Forecast F.
105
135
3
120
4
105
5
06
6.
120
7
145
8
140
9
100
10
80
11
100
12
110
Transcribed Image Text:(b) Use a = 0.4 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.) Time Series Value Month t Forecast F. 105 135 3 120 4 105 5 06 6. 120 7 145 8 140 9 100 10 80 11 100 12 110
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