(Calculus needed.) Consider the multiple regression model:
![](https://test.transtutors.com/qimg/52ba620c-6154-43fd-90e2-a1e5a33faa01.png)
where the εi are uncorrelated, with ![](https://test.transtutors.com/qimg/f156b57e-c444-4df6-bc1b-ba653e93dc14.png)
a. State the least squares criterion and derive the least squares estimators of ß1 and ß2.
b. Assuming that the Si are independent normal random variables, state the likelihood function and obtain the maximum likelihood estimators of ß1 and ß2. Are these the same as the least squares estimators?