Question

A statistical program is recommended.

Consider the following time series.

Quarter | Year 1 | Year 2 | Year 3 |
---|---|---|---|

1 | 72 | 69 | 63 |

2 | 49 | 41 | 51 |

3 | 58 | 60 | 53 |

4 | 77 | 80 | 71 |

(a)

Construct a time series plot.

- A time series plot contains a series of 12 points connected by line segments.
- The horizontal axis is labeled: Year/Quarter. There are 12 tick marks on the horizontal axis which have been divided up into 3 groups of 4 tick marks. The groups are labeled, from left to right: Year 1, Year 2, Year 3. For each year, the individual tick marks are labeled, from left to right: 1, 2, 3, 4.
- The vertical axis ranges from 0 to 90 and is labeled: Time Series Value.
- The points are plotted from left to right in increments of 1 starting at the tick mark labeled 1 in the group Year 1 and appear to vary randomly between approximately 40 to 80 on the vertical axis. For each year, the highest point occurs above the tick mark labeled 1, and the lowest occurs above the tick mark labeled 3.

(b)

Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data:

*x*_{1} = 1 if quarter 1, 0 otherwise;
*x*_{2} = 1 if quarter 2, 0 otherwise;
*x*_{3} = 1 if quarter 3, 0 otherwise.

=

(c)

Compute the quarterly forecasts for next year.

quarter 1 forecast

quarter 2 forecast

quarter 3 forecast

quarter 4 forecast

Answer #1

a)

b)

regress y on Q1,Q2 and Q3

y^ = 76 - 8 Q1 - 29 Q2 - 19 Q3

c)

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Consider the following time series.
Quarter
Year 1
Year 2
Year 3
1
71
68
62
2
48
40
50
3
59
61
54
4
78
81
72
(a) Construct a time series plot.
What type of pattern exists in the data?
a)The time series plot shows a horizontal pattern, but there is
also a seasonal pattern in the data.
b)The time series plot shows a horizontal pattern with no
seasonal pattern present.
c)The time series plot shows a trend...

Consider the following time series.
Quarter
Year 1
Year 2
Year 3
1
71
68
62
2
50
42
52
3
59
61
54
4
78
81
72
(a)
Construct a time series plot.
What type of pattern exists in the data?
The time series plot shows a horizontal pattern, but there is
also a seasonal pattern in the data.
The time series plot shows a trend pattern, but there is also a
seasonal pattern in the data.
The...

Consider the following time series data.
Month
1
2
3
4
5
6
7
Value
24
13
20
12
19
23
15
(a)
Construct a time series plot.
A time series plot contains a series of 7 points connected by
line segments. The horizontal axis ranges from 0 to 8 and is
labeled: Month. The vertical axis ranges from 0 to 30 and is
labeled: Time Series Value. The points are plotted from left to
right at regular increments of...

Consider the following time series.
Quarter
Year 1
Year 2
Year 3
1
71
68
62
2
49
41
51
3
57
59
52
4
78
81
72
(a) Use the following dummy variables to develop an
estimated regression equation to account for seasonal effects in
the data:
x1 = 1 if quarter 1, 0 otherwise;
x2 = 1 if quarter 2, 0 otherwise;
x3 = 1 if quarter 3, 0 otherwise.
= _____?______
(b) Compute the quarterly forecasts for...

A statistical program is recommended.
Consider the following data for two variables, x and
y.
xi
135
110
130
145
175
160
120
yi
145
105
120
115
130
130
110
(a)
Compute the standardized residuals for these data. (Round your
answers to two decimal places.)
xi
yi
Standardized
Residuals
135
145
110
105
130
120
145
115
175
130
160
130
120
110
Do the data include any outliers? Explain. (Round your answers
to two decimal places.)
The standardized...

Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
4
6
7
2
2
3
6
3
3
5
6
4
5
7
8
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, round
your answers...

Consider the following time series data (Insert the data in an
Excel file):
Quarter Year 1 Year 2 Year 3
1 8 9 12
2 5 6 9
3 7 8 10
4 8 11 11
2.1. Construct a time series plot. What type of pattern exists
in the data?
2.2. 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...

Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
2
4
5
2
4
5
8
3
1
3
4
4
7
9
10
(a)
Choose the correct time series plot.
(i)
(ii)
(iii)
(iv)
- Select your answer -Plot (i)Plot (ii)Plot (iii)Plot (iv)Item
1
What type of pattern exists in the data?
- Select your answer -Positive trend pattern, no
seasonalityHorizontal pattern, no seasonalityNegative trend
pattern, no seasonalityPositive trend pattern, with
seasonalityHorizontal pattern, with...

The following data represent the number of games played in each
series of an annual tournament from
19331933
to
20022002.
Complete parts? (a) through? (d) below.
x? (games played)
4
5
6
7
Copy to Clipboard
+
Open in Excel
+
Frequency
1717
1515
2121
1616
?(a) Construct a discrete probability distribution for the
random variable x.
x? (games played)
?P(x)
4
nothing
5
nothing
6
nothing
7
nothing
?(Round to four decimal places as? needed.)
?(b) Graph the discrete...

Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
2
5
7
2
0
2
6
3
5
8
10
4
5
8
10
(a)
Choose the correct time series plot.
(i)
(ii)
(iii)
(iv)
Plot (iii)- Select your answer -Plot (i)Plot (ii)Plot (iii)Plot
(iv)Item 1
What type of pattern exists in the data?
Positive trend pattern, no seasonality- Select your answer
-Positive trend pattern, no seasonalityHorizontal pattern, no
seasonalityNegative trend pattern, no seasonalityPositive trend...

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