Problem Set 1 Resource Economics 702 Due Jan. 25 Econometrics I 1. Show or derive the following: a.Show that the following three estimators are equivalent: 1222iiiiiiiiiiiX YYXx yx YbXXXxx; where () and ()iiiixXXyYY. (2 pts.) b.If iuun, what is 2nu? Reduce this to its simplest form (1 pt.) c.Show that 11()()iiieuubx; where ()iixXX. (1 pt.) d.We know that 222110022~,~,iiiXbNand bNxnx. Show that 220121()~,iiiiXXY XNXnx(3 points). (Note: here we are predicting the value of Yat Xi. Logically, what comprises the variance?) 2. Explain, in an essay, the process of estimationusing the simple linear model for your example. You
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Trigraph, Randomness, Resource Economics, simple linear model