еВook Consider the following time series data: Month 1 2 3 4 5 7 Value 24 15 21 13 19 21 16
еВook Consider the following time series data: Month 1 2 3 4 5 7 Value 24 15 21 13 19 21 16
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Please find (b), (c), and (e)
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еВook
Consider the following time series data:
Month
1
2
3
4
7
Value
24
15
21
13
19
21
16
(a) Choose the correct time series plot.
(i)
30
25
20
15
10
5
1
2
3
4
6
Month
(ii)
30
25
20
Value](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd03418ea-202b-4e18-869c-af9abd70547a%2F89c244c2-4105-4842-b85d-5cd3e50bc124%2Ftgf6fa_processed.png&w=3840&q=75)
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еВook
Consider the following time series data:
Month
1
2
3
4
7
Value
24
15
21
13
19
21
16
(a) Choose the correct time series plot.
(i)
30
25
20
15
10
5
1
2
3
4
6
Month
(ii)
30
25
20
Value
![1
2
3
Month
Graph (i)
What type of pattern exists in the data?
Horizontal pattern
(b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8.
If required, round your answers to two decimal places, Do not round intermediate calculation.
MSE:
14.00
The forecast for month 8:
18.67
(c) Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8.
If required, round your answers to two decimal places. Do not round intermediate calculation,
MSE:
5.00
The forecast for month 8:
19.32
(d) Compare the three-month moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE?
3-month moving average
(e) Use trial and error to find a value of the exponential smoothing coefficient a that results in the smallest MSE.
If required, round your answer to two decimal places.
a
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Transcribed Image Text:1
2
3
Month
Graph (i)
What type of pattern exists in the data?
Horizontal pattern
(b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8.
If required, round your answers to two decimal places, Do not round intermediate calculation.
MSE:
14.00
The forecast for month 8:
18.67
(c) Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8.
If required, round your answers to two decimal places. Do not round intermediate calculation,
MSE:
5.00
The forecast for month 8:
19.32
(d) Compare the three-month moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE?
3-month moving average
(e) Use trial and error to find a value of the exponential smoothing coefficient a that results in the smallest MSE.
If required, round your answer to two decimal places.
a
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