a) Define the term 'unit root' and explain why it is important to test for unit root in time series data before attempting to build an empirical model. b) A researcher wants to test for the presence of unit root in time-series data and decides to use the Dickey-Fuller (DF) test. He estimates a regression of the form Ayt = μ+Vyt-1 + Ut and obtains the estimate = -0.75 with standard error = 0.24 i) Given the data, and a critical value of -2.88, perform the DF test. What are the null and alternative hypotheses for this test? What is the main conclusion from this test? ii) Another researcher suggests that there may be a problem with this methodology since it assumes that the disturbances are white noise. Suggest a possible source of difficulty and how the researcher might in practice get around it.

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20.
a) Define the term 'unit root' and explain why it is important to test for unit root in time series
data before attempting to build an empirical model.
b) A researcher wants to test for the presence of unit root in time-series data and decides
to use the Dickey-Fuller (DF) test. He estimates a regression of the form
Ayt = μ+ yt-1 + Ut
and obtains the estimate = -0.75 with standard error = 0.24
i) Given the data, and a critical value of -2.88, perform the DF test. What are the null
and alternative hypotheses for this test? What is the main conclusion from this test?
ii) Another researcher suggests that there may be a problem with this methodology
since it assumes that the disturbances are white noise. Suggest a possible source
of difficulty and how the researcher might in practice get around it.
Transcribed Image Text:20. a) Define the term 'unit root' and explain why it is important to test for unit root in time series data before attempting to build an empirical model. b) A researcher wants to test for the presence of unit root in time-series data and decides to use the Dickey-Fuller (DF) test. He estimates a regression of the form Ayt = μ+ yt-1 + Ut and obtains the estimate = -0.75 with standard error = 0.24 i) Given the data, and a critical value of -2.88, perform the DF test. What are the null and alternative hypotheses for this test? What is the main conclusion from this test? ii) Another researcher suggests that there may be a problem with this methodology since it assumes that the disturbances are white noise. Suggest a possible source of difficulty and how the researcher might in practice get around it.
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