The OLS Estimator Is a Linear Estimator $\hat { \beta }$

question 46

Multiple Choice

The OLS estimator is a linear estimator, $\hat { \beta }$ ₁ = $\sum _ { i = 1 } ^ { n } \hat { a } _ { i } Y _ { i }$ , where $\hat a$ _i =

• A) \(\frac { X _ { i } - \bar { X } } { \sum _ { j = 1 } ^ { n } \left( X _ { j } - \bar { X } \right) ^ { 2 } }\)
• B) \(\frac { 1 } { n }\)
• C) \(\frac { X _ { i } - \bar { X } } { \sum _ { j = 1 } ^ { n } \left( X _ { j } - \bar { X } \right) }\)
• D) \(\frac { X _ { i } } { \sum _ { j = 1 } ^ { n } \left( X _ { j } - \bar { X } \right) ^ { 2 } }\)

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