2. Consider the four linear regression models with i=1,.,n and e, lid Normal. Model 1: Y =Bo+ Bizate Model 2: Yi= PotPita + Byrate Model 3: Y=Bo+ Biza+ Byrd+ PizzaInter (a) [2 marks] Which model has the smallest SS( Res), if any? Explain briefly. (b) [2 marks] Which model has the largest R", if any? Explain briefly. (c) [2 marks] Which model has the largest Adjusted -R', if any? Explain briefly. (d) [2 marks] How are Tyra related to ryn and frizz for the Model 2? (e) Suppose we have sample data with n=4 observations. Vectors for the covariates are: $1 = (1,2,-1,3) and r2= (0,1.2,-1). The outcome variable as a vector is y= (10,21,32,44). i. [2 marks] Write down the design matrix, X for the Model 4. ii. [2 marks] Write down the diagonal elements of the information matrix, XX for the Model 4