Consider the following model yt = 0.5yt-1+xt +V₁t, and xt = 0.5xt-1+V2t, where both Vit and v2t follow IID normal distribution~ (0, 1). Examine the following statements, state whether they are true or false first, and then explain why they are true or false. (v) The series y, and xt have the same unconditional mean. (vi) If y₁ = 1 and x = 1, then E[yt+1|yt,xt] = 1. (vii) If y₁ = 1, x = 1,v₁ = 1, and v2 = 1, then E[yt+1, X₁] #1. 7 (viii) If y₁ = 0 and x = -0.8, then E[yt+1|yt, xt] = -0.8.