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Consider the popsulation lineaz regression model: Y1=u+1X1+u2 (1) State the tree Least Square Arsumptiuns. (LSA \#1, \#2, and \#3) [3 points] (2) Supwore LSAN1 3 hold on the population linear regrescion model. Cousider (XiYin, i=1,2,3,, (i2) Are X1 and X2 independent? [3 points] (iii) Suppoxe 1f(0. Are X1 and Y1 independent? Explain [s points) (iii) Are Y1 and X2 indepenchent? [ 3 poins ] (iiv) Suppose that 10. Are X1 and Y1 correlated? Explain. [8 points ].

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