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Consider a modified version of the simple linear regression model given by yi = Pot Pi(mi - D) te, i= 1,...,n, (1) where = = > x,, so that r; enters the model centered. As usual, &, are uncorrelated errors with zero mean and common variance o'. i) [2 marks] The model given in (1) is fitted to the following simple data: Y X 10 8 24 12 Write model (1) in the matrix form y = XP + s, where 8 = Po B and E1 62 . Clearly identify design matrix X and vector of responses y 83 using the given data