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(8 points) Which of the following models are linear in variables? Which ones are linear in...

  1. (8 points) Which of the following models are linear in variables? Which ones are linear in parameters? Explain your answer.

  1. Yi=β0+β1X1i+ (β2/β3)X2i+β3X3+ϵi

  1. Yi=β0+β1ln(X1i)+ β2ln(X2i)+β3ln(X3i)+ϵi

  1. Yi=β0+β1(1/X1i)+ ϵi

  1. Yi=β0+β1X1i+β2X22i+ϵi

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Answer #1

Yi=β0+β1X1i+ (β2/β3)X2i+β3X3+ϵican be considered as the one that is linear in nature and this is because of the fact that there is no exponent for the variable which are considered as Y1, X1 X2 and X2 among the four if you keep any two variables constant and plot The other to you will always get a linear curve irrespective whichvariable you take

Therefore (a)Yi=β0+β1X1i+ (β2/β3)X2i+β3X3+ϵi is the answer to this question

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