Consider the following data generating process, Yt = Bo + B1*t + Et, where y and x are variables and the Bs are parameters. Moreover, e is an error term that satisfies Et PEt-1 + p°et-2 + n, where n is i.i.d. (i.e., n is white noise) and pE (0, 1). Clearly, the error term associated with the regression of y on is not i.i.d. (a) Regarding the non-i.i.d. issue noted above, is the issue one of serial correlation? Please explain. (b) Regardless of your answer to part (a), is there a version of the transformation strategy that would solve the non-i.i.d. issue? If so, implement it and derive the regression equation that you would operationalize after this implementation. If not, please explain.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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First off, there is a small typo here: eta does not have a time subscript, this should be eta_t. Sorry about that! For part (a), the question is: does it matter at all that a parameter be raised to a power for thinking about a process being serially correlated or not. For part (b), recall that the transformation strategy is nice because we don't really have to care about the degree of exogeneity of the regressors. With that in mind, what you have to do here is implement a version of the stuff as related to the transformation strategy.

Consider the following data generating process,
Yt
Bo + B1at + Et,
where y and x are variables and the Bs are parameters. Moreover, & is an error term
that satisfies
pEt-1+ p°Et-2 +n,
Et =
where n is i.i.d. (i.e., 7 is white noise) and p E (0,1). Clearly, the error term associated
with the regression of y on x is not i.i.d.
(a) Regarding the non-i.i.d. issue noted above, is the issue one of serial correlation?
Please explain.
(b) Regardless of your answer to part (a), is there a version of the transformation
strategy that would solve the non-i.i.d. issue? If so, implement it and derive the
regression equation that you would operationalize after this implementation. If
not, please explain.
Transcribed Image Text:Consider the following data generating process, Yt Bo + B1at + Et, where y and x are variables and the Bs are parameters. Moreover, & is an error term that satisfies pEt-1+ p°Et-2 +n, Et = where n is i.i.d. (i.e., 7 is white noise) and p E (0,1). Clearly, the error term associated with the regression of y on x is not i.i.d. (a) Regarding the non-i.i.d. issue noted above, is the issue one of serial correlation? Please explain. (b) Regardless of your answer to part (a), is there a version of the transformation strategy that would solve the non-i.i.d. issue? If so, implement it and derive the regression equation that you would operationalize after this implementation. If not, please explain.
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