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Statistics for Management and Economics Study Set 1
Exam 20: Time-Series Analysis and Forecasting
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Question 41
Multiple Choice
The NYSE works 5-day work per week.If we want to measure the impact of the day of the week on NYSE performance we would need:
Question 42
Essay
The trend line
y
^
\hat { y }
y
^
​
= 0.75 + 0.005t was calculated from quarterly data for 2000-2004,where t = 1 for the first quarter of 2000.The trend value for the second quarter of the year 2005 is ____________________.
Question 43
Multiple Choice
We calculate the three-period moving averages for a time series for all time periods except the:
Question 44
Multiple Choice
Which of the following equations deseasonalize a time series,where T,C,S,and R are respectively the trend,cyclical,seasonal,and random variation components of the time series?
Question 45
Essay
Microprocessors Annual production (in millions)of computer microprocessors in a large electronics company was recorded as shown below
 YearÂ
t
 ProductionÂ
2011
1
26
2012
2
23
2013
3
21
2014
4
25
2015
5
32
2016
6
38
2017
7
43
2018
8
36
2019
9
29
2020
10
25
\begin{array} { | c | r c | } \hline \text { Year } & t & \text { Production } \\\hline 2011 & 1 & 26 \\2012 & 2 & 23 \\2013 & 3 & 21 \\2014 & 4 & 25 \\2015 & 5 & 32 \\2016 & 6 & 38 \\2017 & 7 & 43 \\2018 & 8 & 36 \\2019 & 9 & 29 \\2020 & 10 & 25 \\\hline\end{array}
 YearÂ
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
​
t
1
2
3
4
5
6
7
8
9
10
​
 ProductionÂ
26
23
21
25
32
38
43
36
29
25
​
​
-{Microprocessors Narrative} Calculate the percentage of trend for each time period.
Question 46
Essay
Holiday Hours The total holiday hours (in 1000s)were recorded for 16 quarters in a large steel mill as shown below.
 YearÂ
 QuarterÂ
 Overtime HoursÂ
2011
1
32
2
15
3
21
4
28
2012
1
35
2
16
3
27
4
29
2013
1
36
2
21
3
25
4
37
2014
1
41
2
29
3
31
4
40
\begin{array} { | c | c c| } \hline \text { Year } & \text { Quarter } & \text { Overtime Hours } \\\hline 2011 & 1 & 32 \\& 2 & 15 \\& 3 & 21 \\& 4 & 28 \\\hline 2012 & 1 & 35 \\& 2 & 16 \\& 3 & 27 \\& 4 & 29 \\\hline 2013 & 1 & 36 \\& 2 & 21 \\& 3 & 25 \\& 4 & 37 \\\hline 2014 & 1 & 41 \\& 2 & 29 \\& 3 & 31 \\& 4 & 40 \\\hline\end{array}
 YearÂ
2011
2012
2013
2014
​
 QuarterÂ
1
2
3
4
1
2
3
4
1
2
3
4
1
2
3
4
​
 Overtime HoursÂ
32
15
21
28
35
16
27
29
36
21
25
37
41
29
31
40
​
​
-{Holiday Hours Narrative} What do the seasonal indexes tell us?
Question 47
True/False
The seasonal variation,one of the four different components of a time series,is more likely to exhibit the relatively steady growth of the population of the United States from 181 million in 1960 to 273 million in 1999.