TS Module 13: Parameter estimation least squares HW


TS Module 13: Parameter estimation least squares HW

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rcoffman
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I think you guys are using the T-stat from the regression output for your confidence interval.  I believe you should use the T-value.  You can find the T-value by using the "TINV" distribution in Excel, with the probability required for the confidence interval (ex 1-.95 and proper degrees of freedom.  Using this gives the same confidence interval as the regression output.


ehezel
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Is the calculation for the 95% confidence interval given in the homeowork suppose to be equal to the confidence interval that comes from running the regression in Excel?  Mine do not equal each other.  Thanks.


LBJ82
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I need a quick refresher on the confidence intervals with the t-test. I ran the regression tool in excel and got the slope variable to be .121. I notice the tool also spits out a 95% confidence interval - but it doesn't seem to match what I am doing for the t-test interval (based on the instructions in the hw).

Is my interval correct? .121+/- 4.9228*.02457

All of these inputs came from the excel tool - am i supposed to be calculating anything on my own? Thanks in advance for the help.

[NEAS: This dialogue explains the procedure.

Jacob: What are the X and Y values of this regression?

Rachel: Each Yt is a function of Yt-1.

The X values are {0.44 1.05 0.62 0.72 1.08 1.24 1.42 1.35}.

The Y values are {1.05 0.62 0.72 1.08 1.24 1.42 1.35 1.50}.

Write the regression equation as Yt = A + B × Yt-1. Excel gives you indicated parameters and t-values.

For the time series final exam, no expertise in regression analysis is assumed. But you must run regressions to estimate autoregressive processes for the student project.

The indicated φ of this regression is close to 0.5, and we would not reject a null hypothesis that φ = 50%. Use the Excel regression add-in to compute the exact φ. The homework shows that you can use the Excel add-in.

You can use any statiscal package, such as SAS or R. They give the same values for the parameter.]


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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