Question: Write a simulation sampler for a first order AR process for 1 =0.5 (similar to our random walk sampler from Set 3, rwsim.R). Please use

Write a simulation sampler for a first order AR process for 1 =0.5 (similar to our random walk sampler from Set 3, rwsim.R). Please use a seed of 1 for your sampler. Obtain the time series, acf and pacf plots of the simulated series. Estimate an AR(1) model using the simulated series and investigate if the residuals are white noise.

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