Suppose that Yi = Bo+Bixi + ɛi, i = 1,...,n, (1) where the ɛ's are independent random variables with Eɛ¿ = 0 and Eɛ² = 02/a. Here the a's are known positive constants. (i) Obtain the least square estimates of Bo and ẞ1. (ii) Write down the model used in (i) in matrix form. (iii) From the point view of the reduced model and the full model propose a test statistic for the following hypothesis Ho B10 against H₁ ẞ₁ 0. Also write down the reduced model and the full model in this case. (iv) Find the covariance between the least square estimates of ẞo and ẞ1.