Question: 1. Consider the multiple linear regression model: Y}: :lXi1+52Xi2+ia for 3:1123' ,n, where the errors q are uncorrelated with mean E {61'} = 0 and

1. Consider the multiple linear regression model: Y}: :lXi1+52Xi2+ia for 3:1123'\" ,n, where the errors q are uncorrelated with mean E {61'} = 0 and variance a2{ei} : 02. (a) State the least squares criterion and derive the least squares estimators of [31 and 52- [2 + 5 + 5 = 12 Points] (b) Assuming that the error 6.1 are independent normal random variables: state the likelihood function and obtain the maximum likelihood estimators of [3'1 and (3'2. Are these the same as the least squares estimators? [2 + 5 + 5 + 2 =14 Points]

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