Suppose You Wish to Explain Variation in Body Mass Index $B M I _ { i } = \beta _ { 0 } + \beta _ { 1 } \text { Height } _ { i }$

question 14

Multiple Choice

Suppose you wish to explain variation in body mass index (BMI) by variation in height (in inches) by estimating the model $B M I _ { i } = \beta _ { 0 } + \beta _ { 1 } \text { Height } _ { i }$
And you suspect heteroskedasticity of the form $\operatorname { Var } ( \varepsilon ) = \sigma ^ { 2 } \text { Height } _ { i } ^ { 4 }$
) You could perform Weighted Least Squares by estimating the model

• A) \(B M I _ { i } = \beta _ { 0 } + \beta _ { 1 } \text { Height } _ { i }\) .
• B) \(\text { BMI } _ { i } / \text { Height } _ { i } = \beta _ { 0 } \left( 1 / \text { Height } _ { i } \right) + \beta _ { 1 }\) .
• C) \(B M I _ { i } / \text { Height } _ { i } ^ { 2 } = \beta _ { 0 } \left( 1 / \text { Height } _ { i } ^ { 2 } \right) + \beta _ { 1 } \left( 1 / \text { Height } _ { i } \right)\) .
• D) \(1 = \beta _ { 0 } \left( 1 / B M I _ { i } \right) + \beta _ { 1 } \text { Height } _ { i } / B M I _ { i }\) .

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