(b) Calculate approximate 95 percent prediction intervals for bicycle sales in the four quarters of the next yea (Round your answers to 2 decimal places.) 95% Prediction Intervals: ₁7:[ P18: [ 19:[ 20:[ ] ] 1
(b) Calculate approximate 95 percent prediction intervals for bicycle sales in the four quarters of the next yea (Round your answers to 2 decimal places.) 95% Prediction Intervals: ₁7:[ P18: [ 19:[ 20:[ ] ] 1
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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Transcribed Image Text:If we use the multiplicative decomposition method to analyze the quarterly bicycle sales data given in Table 15.3 below, we find that the quarterly seasonal
factors are .45, 1.20, 1.67, and .61. Furthermore, if we use a statistical software package to fit a straight line to the deseasonalized sales values, we find that
the estimate of the trend is
trt
= 22.61 +.59t
In addition, we find that the half-lengths of 95 percent prediction intervals for the deseasonalized sales values in the four quarters of the next year are,
respectively, 2.90, 2.77, 2.94, and 3.00.
TABLE 15.3 Quarterly Sales of the TRK-50
Mountain Bike OS BikeSales
Year
1
2
Quarter
1 (Winter)
2 (Spring)
3 (Summer)
4 (Fall)
1
2
3
4
1
2
3
4
1
2
3
4
t
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Sales, yt
10
31
43
16
11
33
45
17
13
34
48
19
15
37
51
21
![(a) Calculate point predictions of bicycle sales in the four quarters of the next year.
Point Predictions = S₂ * tr
tr = 22.61 +.59t
32.64
33.23
33.82
34.4
t
17
18
19
20
Sn
.45
1.20
1.67
.61
95% Prediction Intervals:
₁7:[
18:[
19:[
₂0:[
(b) Calculate approximate 95 percent prediction intervals for bicycle sales in the four quarters of the next year.
(Round your answers to 2 decimal places.)
1
3
3
Snx tr
14.688 ✔
39.876 ✔
]
56.4794
20.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88da8a82-8b3f-4c18-954a-44a055ae3e15%2F62b871bc-c137-4075-9f01-02a738588534%2F70wz4c_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Calculate point predictions of bicycle sales in the four quarters of the next year.
Point Predictions = S₂ * tr
tr = 22.61 +.59t
32.64
33.23
33.82
34.4
t
17
18
19
20
Sn
.45
1.20
1.67
.61
95% Prediction Intervals:
₁7:[
18:[
19:[
₂0:[
(b) Calculate approximate 95 percent prediction intervals for bicycle sales in the four quarters of the next year.
(Round your answers to 2 decimal places.)
1
3
3
Snx tr
14.688 ✔
39.876 ✔
]
56.4794
20.9
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