Consider the following two-equation model: y1 = 1 y2 + 11x1 + 21x2 + 31x3 + 1, y2 = 2 y1

Chapter 15, Problem 1

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Consider the following two-equation model: y1 = 1 y2 + 11x1 + 21x2 + 31x3 + 1, y2 = 2 y1 + 12x1 + 22x2 + 32x3 + 2. a. Verify that, as stated, neither equation is identified. b. Establish whether or not the following restrictions are sufficient to identify (or partially identify) the model: (1) 21 = 32 = 0, (2) 12 = 22 = 0, (3) 1 = 0, (4) 1 = 2 and 32 = 0, (5) 12 = 0 and 31 = 0, (6) 1 = 0 and 12 = 0, (7) 21 + 22 = 1, (8) 12 = 0, 21 = 22 = 31 = 32 = 0, (9) 12 = 0, 11 = 21 = 22 = 31 = 32 = 0.

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