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Suppose that X = Uniform (0, 1), U = Normal (0, 10), and Y = 5 + 2X + 5X2 + U. Assume that X

Suppose that X = Uniform (0, 1), U = Normal (0, 10), and Y = 5 + 2X + 5X2 + U.

Assume that X and U are independent.

  1. Generate 1000 random draws from (Y, X).
  2. Plot the observed values of Y against X.
  3. Overlay a plot of the (population) CEF of Y given X
  4. Overlay a plot of the (population) BLP of Y given X.

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