3. (a) Consider the Model Yt = Mt + Xt where Var(Y) (Recall that i =...

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3. (a) Consider the Model Yt = Mt + Xt₂ where Var(Y) (Recall that Σ₁i² = (²n+1)(n+1)n). (b) Consider the Model Y₁ = Mt+Xt, where µ = Bo+B₁t+B₂t² (Bo, B₁, B₂ € R) and E[Xt] = 0 for every t. Write down the least square function Q(Bo, B₁, B₂). (c) Define the Sample Autocorrelation Function. (d) Give the definition of Correlogram. (e) Which Null Hypothesis Ho is this plot testing? Can we reject Ho? ACF 1.0 0.6 0.8 -0.2 0.0 0.2 0.4 ģ 0 ft = t and X₁ is a Random Walk. Compute Series ACF_Plot_Problem3_Midterm 1 5 10 Lag 15 20 3. (a) Consider the Model Yt = Mt + Xt₂ where Var(Y) (Recall that Σ₁i² = (²n+1)(n+1)n). (b) Consider the Model Y₁ = Mt+Xt, where µ = Bo+B₁t+B₂t² (Bo, B₁, B₂ € R) and E[Xt] = 0 for every t. Write down the least square function Q(Bo, B₁, B₂). (c) Define the Sample Autocorrelation Function. (d) Give the definition of Correlogram. (e) Which Null Hypothesis Ho is this plot testing? Can we reject Ho? ACF 1.0 0.6 0.8 -0.2 0.0 0.2 0.4 ģ 0 ft = t and X₁ is a Random Walk. Compute Series ACF_Plot_Problem3_Midterm 1 5 10 Lag 15 20