Suppose that {uj. t ...,-2,-1,0,1,2,...} is an independent time series with mean 0 variance o=4.0. Suppose that the time series {x: t = ...,-2,-1,0,1,2,...} satisfies the equation.: x₁ = 0.5 x-1 + 1.0 + u₁ - 0.4 u₁-1. Determine the 1. mean, 2. autocovariance function, 3. variance, 4. autocorrelation function, 5. Partial autocorrelation function of the time series x7.

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