8. (a) Draw graphs for an autocorrelation function and a partial autocorrelation function that represents an MA(2) process. (Note: There are many correct answers here, but all of them will have certain properties in common.) (b) Suppose you have a time series data set that exhibits a significant negative trend. If you analyze the autocorrelation function (ACF) and partial autocorrelation function (PACF) for the data with the trend still in it, is your analysis likely to be correct? Explain why or why not. If you answered no, how might you transform the data for more accurate analysis?

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8. (a) Draw graphs for an autocorrelation function and a partial autocorrelation function that represents
an MA(2) process. (Note: There are many correct answers here, but all of them will have certain
properties in common.)
(b) Suppose you have a time series data set that exhibits a significant negative trend. If you analyze the
autocorrelation function (ACF) and partial autocorrelation function (PACF) for the data with the trend
still in it, is your analysis likely to be correct? Explain why or why not. If you answered no, how might you
transform the data for more accurate analysis?
Transcribed Image Text:8. (a) Draw graphs for an autocorrelation function and a partial autocorrelation function that represents an MA(2) process. (Note: There are many correct answers here, but all of them will have certain properties in common.) (b) Suppose you have a time series data set that exhibits a significant negative trend. If you analyze the autocorrelation function (ACF) and partial autocorrelation function (PACF) for the data with the trend still in it, is your analysis likely to be correct? Explain why or why not. If you answered no, how might you transform the data for more accurate analysis?
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