Instructions For question 1, you can submit a PDF or scanned copy of your work. Please consult with me if you don't know how to accomplish this. For questions 2-5, you must use STATA, and must turn in a copy of your Do-file. The Do-file must perform every task below neatly and correctly. The work you hand in must be your own. You must NOT copy any answers from anyone or anywhere else. Please review FIU's policy on academic misconduct for more information. Questions In OLS we try to minimize the sum of squared residuals. To do so, we set the derivative of the SSR function equal to 0 (our first-order condition). How do we know a slope=0 identified a maximum and not a minimum? Derive the second-order condition (SOC) for the OLS estimator to prove we found a minimum by showing the resulting expression is positive. See class notes for week 2, equations (I) and (II) as a starting point. From the questions at the end of Chapter 1 of your texbook, questions C1.(i), C1.(ii), C1.(iii), and C1.(iv) using the WAGE1 dataset. Generate the dataset below using STATA's command line: var1 var2 var3 2 6 10 4 32 6