Question: n the multiple regression model, we imposed one additional assumption: there is no perfect mul- ticollinearity. What is the definition of perfect multicollinearity? Why does

n the multiple regression model, we imposed one additional assumption: "there is no perfect mul- ticollinearity". What is the definition of perfect multicollinearity? Why does OLS fail if the perfect multicollinearity is present? Can you give a concrete example? Hint: Try using the following example: Yi = 0 1X1i 2X2i 3X3i ui and X1i = aX2i bX3i c, where a, b, c are constants (?) What is the partial derivative E[Y |X1,X2,X3] X1 ? What is the definition of partial derivative? How does the definition of partial deriv

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