TS Module 13: Parameter estimation least squares HW


TS Module 13: Parameter estimation least squares HW

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NEAS
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TS Module 13: Parameter estimation least squares HW

 

(The attached PDF file has better formatting.)

 

Homework assignment: Estimating parameters by regression

 

An AR(1) process has the following values:

 

0.44    1.05    0.62    0.72    1.08    1.24    1.42    1.35    1.50

 


A.     Estimate the parameter ö by regression analysis.

B.     What are 95% confidence intervals for the value of ö?

C.    You initially believed that ö is 50%. Should you reject this assumption?

 

The time series course does not teach regression analysis. You are assumed to know how to run a regression analysis, and you must run regressions for the student project.

 

Use the Excel regression add-in. The 95% confidence interval is the estimated â ± the t-value × the standard error of â. The t-value depends on the number of observations. Excel has a built-in function giving the t-value for a sample of N observations.

 

 

 


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RayDHIII
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Doc, if I got any of the assignments incorrect, it was this one.  That being said, I converted Yt into Y-bart, to create a zero-mean function of time.  I used homework 10's method to find r1 for what I feel constitute's "regression analysis".  This is the estimate of phi-hat.

For part B I used Excel's regression to find the confidence interval, if your estimate is within the 95% confidence interval, then it is quite likely that you wouldn't reject this assumption.

RDH


 
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