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 4, and the lowest occurs above the tick mark labeled 2. 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 20 to 60 on the vertical axis. For each year, the highest point occurs above the tick mark labeled 4, and the lowest occurs above the tick mark labeled 2. 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. 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 20 to 60 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. 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 with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present. (b) 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. = (c) Compute the quarterly forecasts for next year. quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast

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 4, and the lowest occurs above the tick mark labeled 2. 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 20 to 60 on the vertical axis. For each year, the highest point occurs above the tick mark labeled 4, and the lowest occurs above the tick mark labeled 2. 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. 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 20 to 60 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. 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 with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present. (b) 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. = (c) Compute the quarterly forecasts for next year. quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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	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 4, and the lowest occurs above the tick mark labeled 2.

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 20 to 60 on the vertical axis. For each year, the highest point occurs above the tick mark labeled 4, and the lowest occurs above the tick mark labeled 2.

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.

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 20 to 60 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.

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 with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present.

(b)

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.

(c)

Compute the quarterly forecasts for next year.

quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast

A statistical program is recommen
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
77
80
71
(a) Construct a time series plot.
90-
90
90
90
80
70
80
80
80
70
70-
70-
60-
60+
50
60
60 -
50-
50
50-
40
40
40
40 -
30
30
30-
30
20
20
20
20
10
10
10
10
1 2 3 4 1 2 3 4 1 2 3 4
1 2 3 4 1 2 3 4 1 2 3 4
1 2 3 4 1 2 3 4 1 2 3 4
1 2 3 4 1 2 3 4 1 2 3 4
Year 1
Year 2
Year 3
Year 1
Year 2
Year 3
Year 1
Year 2
Year 3
Year 1
Year 2
Year 3
Year/Quarter
Year/Quarter
Year/Quarter
Year/Quarter
What type of pattern exists in the data?
O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the
O The time series plot shows a trend pattern with no seasonal pattern present.
O The time series plot shows a trend pattern, but there is also a seasonal pattem in the data.
O The time series plot shows a horizontal pattern with no seasonal pattern present.
(b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data:
x, = 1 if quarter 1, 0 otherwise; x, = 1 if quarter 2, 0 otherwise; x, = 1 if quarter 3, 0 otherwise.
Ý =
(c) Compute the quarterly forecasts for next year.
quarter 1 forecast
quarter 2 forecast
quarter 3 forecast
quarter 4 forecast

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 10 steps with 13 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Series$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.