(b) Compute 95% confidence interval for o. Note: 20.025 = 1.96.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Q7
for autocorrelation:
Autocorrelations of series 'X', by lag
We have a AR(1) time series with the following output
0
1.000
6
1
2
3
4
5
0.472 0.368 0.102 -0.044 -0.054
7
8
9
-0.013 0.012 0.011 0.048
10
0.182
Also: n = 100, 7x (0) = 1.34, π = 0.06.
(a) Find the Yule-Walker estimates of o and o.
(b) Compute 95% confidence interval for p. Note: 20.025
= 1.96.
(c) If the last observations is X100 = 0.78, predict X101. What is
the mean square error of this prediction?
Transcribed Image Text:Q7 for autocorrelation: Autocorrelations of series 'X', by lag We have a AR(1) time series with the following output 0 1.000 6 1 2 3 4 5 0.472 0.368 0.102 -0.044 -0.054 7 8 9 -0.013 0.012 0.011 0.048 10 0.182 Also: n = 100, 7x (0) = 1.34, π = 0.06. (a) Find the Yule-Walker estimates of o and o. (b) Compute 95% confidence interval for p. Note: 20.025 = 1.96. (c) If the last observations is X100 = 0.78, predict X101. What is the mean square error of this prediction?
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