Question $19(1$ point$)$

Consider the process $x_t=(1-B)Y_t$ where $Y_t$ is an $AR(1)$ process

with $=0\mathrm{.}78.$ Calculate the lag$-3$ autocorrelation for $x_t,$

${}_3=$Corr$(x_t,x_{t-3}).$

$($Provide your answer to two decimal places. Do not write correlation as a

percentage, i$.$e$.,$ do not write answers such as $83$ or $-67$ because these should be

$0\mathrm{.}83$ and $-0\mathrm{.}67.)$

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