The following time series shows the number of junk email messages that Ashar Nazir has received in each of the most recent seven months. (a) Construct a time series plot. 140T 120+ 100 Time Series Value Y 122 111 102 97 93 92 90 O 80- 60 40 20- 0 0 1 2 3 4 5 Time Period (t) 6 7 What type of pattern exists in the data? O The time series plot shows a linear trend. O The time series plot shows a seasonal pattern. O The time series plot shows a horizontal pattern. O The time series plot shows a nonlinear trend. 8 140T 120+ 100+ CEE 80- 60 40+ 20 0- 0 1 2 34 5 6 7 8 Time Period (t) 140T 120+ 100+ 80- 60 40 20 0 0 1 2 3 4 5 6 7 8 Time Period (t) (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your numerical values to two decimal places.) Y₂" (c) What is the forecast for t = 8? (Round your answer to one decimal place.) 140T 120+ 100+ 80 60 40+ 20 0 0 1 2 34 5 6 7 Time Period (t) 8 Ⓡ

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The following time series shows the number of junk email messages that Ashar Nazir has received in each of the most recent seven months.
O
t
Time Series Value
1
(a) Construct a time series plot.
140
120
100-
80
60
40
20
0-
Yt 122 111 102
0
2
1
3
2
4
5 6 7
97 93
3 4 5
Time Period (t)
92 90
6
7
What type of pattern exists in the data?
O The time series plot shows a linear trend.
O The time series plot shows a seasonal pattern.
O The time series plot shows a horizontal pattern.
O The time series plot shows a nonlinear trend.
8
Time Series Value
140
120
100
80
60
40
20-
0
0
1
(c) What is the forecast for t = 8? (Round your answer to one decimal place.)
2
3 4 5 6
Time Period (t)
7
8
O
Time Series Value
140-
120
100-
80
60
40
20
0
0
1
2
3 4 5
Time Period (t)
6
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your numerical values to two decimal places.)
Yt=
7
8
140-
120
100
80
t
60-
40
20
0
Time Series Value
0
1
2
3 4 5
Time Period (t)
6
7
8
Ⓡ
Transcribed Image Text:The following time series shows the number of junk email messages that Ashar Nazir has received in each of the most recent seven months. O t Time Series Value 1 (a) Construct a time series plot. 140 120 100- 80 60 40 20 0- Yt 122 111 102 0 2 1 3 2 4 5 6 7 97 93 3 4 5 Time Period (t) 92 90 6 7 What type of pattern exists in the data? O The time series plot shows a linear trend. O The time series plot shows a seasonal pattern. O The time series plot shows a horizontal pattern. O The time series plot shows a nonlinear trend. 8 Time Series Value 140 120 100 80 60 40 20- 0 0 1 (c) What is the forecast for t = 8? (Round your answer to one decimal place.) 2 3 4 5 6 Time Period (t) 7 8 O Time Series Value 140- 120 100- 80 60 40 20 0 0 1 2 3 4 5 Time Period (t) 6 (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your numerical values to two decimal places.) Yt= 7 8 140- 120 100 80 t 60- 40 20 0 Time Series Value 0 1 2 3 4 5 Time Period (t) 6 7 8 Ⓡ
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