
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
Centerville Bikes and Stuff (CBS) sells motorcycles and accessories. The number of helmets sold by CBS per week for the past six weeks follows.
Week | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
Value | 17 | 12 | 14 | 10 | 16 | 13 |
(a)
Construct a time series plot.
A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows.
- The segments start at (1, 17),
- go down and right to (2, 12),
- go up and right to (3, 14),
- go down and right to (4, 10),
- go up and right to (5, 16),
- and go down and right to stop at (6, 13).
A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows.
- The segments start at (1, 15),
- go down and right to (2, 10),
- go up and right to (3, 12),
- go down and right to (4, 8),
- go up and right to (5, 14),
- and go down and right to stop at (6, 11).
A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows.
- The segments start at (1, 11),
- go up and right to (2, 14),
- go down and right to (3, 8),
- go up and right to (4, 12),
- go down and right to (5, 10),
- and go up and right to stop at (6, 15).
A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows.
- The segments start at (1, 13),
- go up and right to (2, 16),
- go down and right to (3, 10),
- go up and right to (4, 14),
- go down and right to (5, 12),
- and go up and right to stop at (6, 17).
What type of pattern exists in the data?
The data appear to follow a horizontal pattern.The data appear to follow a seasonal pattern. The data appear to follow a trend pattern.The data appear to follow a cyclical pattern.
(b)
Develop the three-week moving average for this time series. (Round your answers to two decimal places.)
Week | Time Series Value |
Forecast |
---|---|---|
1 | 17 | |
2 | 12 | |
3 | 14 | |
4 | 10 | |
5 | 16 | |
6 | 13 |
Compute MSE. (Round your answer to two decimal places.)
MSE =
What is the forecast for week 7?
(c)
Use ? = 0.2 to compute the exponential smoothing values for the time series.
Week | Time Series Value |
Forecast |
---|---|---|
1 | 17 | |
2 | 12 | |
3 | 14 | |
4 | 10 | |
5 | 16 | |
6 | 13 |
Compute MSE. (Round your answer to two decimal places.)
MSE =
What is the forecast for week 7? (Round your answer to two decimal places.)
(d)
Compare the three-week moving average forecast with the exponential smoothing forecast using
? = 0.2.
Which appears to provide the better forecast based on MSE? Explain.The three-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach.The exponential smoothing using ? = 0.2 provides a better forecast since it has a smaller MSE than the three-week moving average approach. The three-week moving average provides a better forecast since it has a larger MSE than the smoothing approach.The exponential smoothing using ? = 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach.
(e)
Use ? = 0.4 to compute the exponential smoothing values for the time series.
Week | Time Series Value |
Forecast |
---|---|---|
1 | 17 | |
2 | 12 | |
3 | 14 | |
4 | 10 | |
5 | 16 | |
6 | 13 |
Does a smoothing constant of 0.2 or 0.4 appear to provide more accurate forecasts based on MSE? Explain.
The exponential smoothing using ? = 0.4 provides a better forecast since it has a larger MSE than the exponential smoothing using ? = 0.2.The exponential smoothing using ? = 0.4 provides a better forecast since it has a smaller MSE than the exponential smoothing using ? = 0.2. The exponential smoothing using ? = 0.2 provides a better forecast since it has a larger MSE than the exponential smoothing using ? = 0.4.The exponential smoothing using ? = 0.2 provides a better forecast since it has a smaller MSE than the exponential smoothing using ? = 0.4.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 6 steps with 1 images

Knowledge Booster
Similar questions
- Does this graph have trends and/or seasonality? What forecasting method is suitable for this data?arrow_forwardWindow Below are two snapshots of data taken from the covid19.nj.gov website on January 8, 2021. What information can you take away from these graphs? Can the graphs be compared? What might be confusing or misleading about the information? What could you do to better present the information?arrow_forwardA university would like to examine the linear relationship between a faculty member's performance rating (measured on a scale of 1-20) and his or her annual salary increase. The table to the right shows these data for eight randomly selected faculty members. Complete parts a and b.arrow_forward
- The statistics prompt states "The average amount of sleep people get throughout the week in hours. You’ve collected data from 6 people." I need to know how I would input this data into SPSS, or at least what kind of graph it would be so I can try to break it down. Thank you.arrow_forward4b62-a72b- Anthony records the number of misspelled words per page in a short story. Below is the data. Provide your answer below: Frequency 14 13 12 13- --12- Make a dot plot that represents the misspelled word data. -11- -10- -9- -8- -7- 1 6- 1 6 LO 5 3 3 4 7 3 4 1 2 6 2 2 1 3 3arrow_forwardQuestion 3 Refer to the stack plot below. The vertical scale is the proportion of sales. (a) Describe the proportion of sales for puzzle games between 1985 and 2015. (b) Which genre(s) increased in proportion of sales between 2010 and 2015? (c) Which genre had the largest proportion of sales in 1985? Video Games by Year and Genre: 1980-2016 1.0- 0.9- Genre 0.8 Action Advente Fighting Misc Platform Puzzle 0.7- 0.6- 0.5- Racing Role-Play Shooter Simulation 0.4- 0.3 0.2- Sports Strategy 0.1- 0.0- 1980 1985 1990 1995 2000 2005 2010 2015 O True O Falsearrow_forward
- Question #9 A-Darrow_forwardSuppose that an urban geographer is studying historical changes in housing characteristics in London, England. She wishes to determine if house size (square feet of living area) and the number of years since home construction are associated. What method could she use to learn if such a relationship exists.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman

MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc

Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning

Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning

Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON

The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman