Consider the R output listed below. With this information, answer the following: model.fit = arima(data,order=c(1,0,0), method="ML") model.fit Coefficients: arl 0.4796 s.e. 0.0565 sigma2 estimated as 6.495: log likelihood = -126.24, aic=296.48 intercept 179.4921 0.4268 a. What is the common name for this model? Write down this model. (Write theoretically and also the estimated time series regression from the output). What estimation method is used to estimate this model? b. c. Test the null that this series is mean zero (write down the null and alternative hypothesis, test statistic, and decision rule). d. Test the null that this series is only a function of white noise sequences (write down the null and alternative hypothesis, test statistic, and decision rule). e. Suppose we believed these estimates to be the true parameters, draw the autocorrelation function.

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