Exercise

# An AR(1) model

Now consider the AR(1) model $$Y_t - 0.05 = \phi(Y_{t-1} - 0.05)$$ with \(|\phi| < 0\) and \(\epsilon_t ~ iid\) \(N(0,(0.1)^2)\).

Assume that \(\phi = 0.5\) and rewrite the code in such a way that it simulates data from the AR(1) model and that it displays the three corresponding graphs from the previous exercise correctly.

Instructions

**100 XP**

- Assign to
`ar1_sim`

250 observations simulated from the described AR(1) model. - Assign to
`acf_ar1_model`

the theoretical autocorrelations up to lag 10. - Create the three plot functions from the previous exercise but now for the AR(1) model instead of the MA(1) model. Have a look at the code of the previous exercise if you are unsure.