Use the data in Exercise 9 9 to estimate the equation Parent 1 1 Offspring 1 and to estimate the equation Offspring 2 2 Parent 2 by ordinary least squares Let b 1 be your estimate of 1 and b 2 be your estimate of 2 a Does b 1 1 b 2 b If both equations are estimated by least squares, why doesnt b1 a...

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Use the data in Exercise 9.9 to estimate the equation Parent = 1 + 1

Question:

Use the data in Exercise 9.9 to estimate the equation Parent = α₁ + β₁Offspring + ε₁ and to estimate the equation Offspring = α₂ + β₂Parent + ε₂ by ordinary least squares. Let b₁be your estimate of β₁and b₂ be your estimate of β₂.

a. Does b₁ = 1/b₂?

b. If both equations are estimated by least squares, why doesn’t b1 always equal 1/b₂?

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