Consider the population linear regression model Yi = 0 + 1Xi + ui ..pdf
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Consider the population linear regression model Yi = 0 + 1Xi + ui ..pdf
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Consider the population linear regression model: Yi = 0 + 1Xi + ui . (1) State the three Least Square Assumptions. (LSA #1, #2, and #3) [3 points] (2) Suppose LSA#1 #3 hold on the population linear regression model. Consider (Xi , Yi), i = 1, 2, 3, . . . , n. (i) Are X1 and X2 independent? [3 points] (ii) Suppose 1 = 0. Are X1 and Y1 independent? Explain [8 points] (iii) Are Y1 and X2 independent? [3 points] (iv) Suppose that 1 = 0. Are X1 and Y1 correlated? Explain. [8 points].
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Consider the population linear regression model Yi = 0 + 1Xi + ui ..pdf
- 1. Consider the population linear regression model: Yi = 0 + 1Xi + ui . (1) State the three Least Square Assumptions. (LSA #1, #2, and #3) [3 points] (2) Suppose LSA#1 #3 hold on the population linear regression model. Consider (Xi , Yi), i = 1, 2, 3, . . . , n. (i) Are X1 and X2 independent? [3 points] (ii) Suppose 1 = 0. Are X1 and Y1 independent? Explain [8 points] (iii) Are Y1 and X2 independent? [3 points] (iv) Suppose that 1 = 0. Are X1 and Y1 correlated? Explain. [8 points]