Consider the model $Y _ { i } = \beta _ { 1 } X _ { i } + u _ { i }$, where $u _ { i } = c X _ { i } ^ { 2 } e _ { i }$ and all of the $X$ 's and $e$ 's are i.i.d. and distributed $N ( 0,1 )$. (a)Which of the Extended Least Squares Assumptions are satisfied here? Prove your
assertions.

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The Answer of Consider the model $Y _ { i } = \beta _ { 1 } X _ { i } + u _ { i }$, where $u _ { i } = c X _ { i } ^ { 2 } e _ { i }$ and all of the $X$ 's and $e$ 's are i.i.d. and distributed $N ( 0,1 )$. (a)Which of the Extended Least Squares Assumptions are satisfied here? Prove your
assertions.

Consider the Model Yi=β1Xi+uiY _ { i } = \beta _ { 1 } X _ { i } + u _ { i }Yi​=β1​Xi​+ui​

Consider the Model $Y _ { i } = \beta _ { 1 } X _ { i } + u _ { i }$