Regression with Serial Correlation

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BUS803 Financial Econometrics
Lab 6: Regression with Serial Correlation
Prepared by Stephanie Mark (301406963) & Uchechukwu Anyakora (301356939)
Feb 5, 2020
Outline
1. Find two data series that are likely to be correlated and exhibit serial correlation and/or
heteroscedasticity of returns. You can use any of the data from the previous labs, or find
other data.
2. Estimate a regression model using one of the variables as a dependent variable and the
other one as an independent variable.
3. Estimate an ARMA/GARCH model for each data series separately to remove any serial
correlation or heteroscedasticity.
4. Re-estimate the regression from Step 2 above using the standardized residuals from the
ARMA/GARCH models. Compare the results from Step 2 and Step 4.
2
Data Selection
We used GDP and personal
consumption expenditure as correlation
will exist between them
There’s evidence that there is mild positive
autocorrelation in the growth of GDP
It means that if GDP grows faster
than average in one period, there is a
tendency for it to grow faster than
average in the following periods
GDP = C + I + G + (X - M)
3
GDP Trend
https://fred.stlouisfed.org/series/GDP
4
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Personal Consumption Expenditure Trend
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