Consider the AR(1)model Y_t = β₀ + β₁Y_t_-₁ + u_t, $\left| \beta _ { 1 } \right|$

Question

Consider the AR(1)model Y_t = β₀ + β₁Y_t_-₁ + u_t,

\left| \beta _ { 1 } \right|

< 1..
(a)Find the mean and variance of Y_t.
(b)Find the first two autocovariances of Y_t.
(c)Find the first two autocorrelations of Y_t.

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The Answer of Consider the AR(1)model Y_t = β₀ + β₁Y_t_-₁ + u_t, $\left| \beta _ { 1 } \right|$ < 1.. (a)Find the mean and variance of Y_t. (b)Find the first two autocovariances of Y_t. (c)Find the first two autocorrelations of Y_t.

Consider the AR(1)model Yt = β0 + β1Yt-1 + Ut ∣β1∣\left| \beta _ { 1 } \right|∣β1​∣

Consider the AR(1)model Y_t = β₀ + β₁Y_t_-₁ + U_t $\left| \beta _ { 1 } \right|$