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A Polynomial Regression Model Is Specified As: A Yi=β0+β1Xi+β2Xi2++βrXir+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } X _ { i } ^ { 2 } + \cdots + \beta _ { r } X _ { i } ^ { r } + u _ { i }

question 39

Short Answer

A polynomial regression model is specified as: a. Yi=β0+β1Xi+β2Xi2++βrXir+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } X _ { i } ^ { 2 } + \cdots + \beta _ { r } X _ { i } ^ { r } + u _ { i } .
b. Yi=β0+β1Xi+β12Xi++β1rXi+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 1 } ^ { 2 } X _ { i } + \cdots + \beta _ { 1 } ^ { r } X _ { i } + u _ { i } .
c. Yi=β0+β1Xi+β2Yi2++βrYir+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } Y _ { i } ^ { 2 } + \cdots + \beta _ { r } Y _ { i } ^ { r } + u _ { i } .
d. Yi=β0+β1X1i+β2X2+β3(X1i×X2i)+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 i } + \beta _ { 2 } X _ { 2 } + \beta _ { 3 } \left( X _ { 1 i } \times X _ { 2 i } \right) + u _ { i } .


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