The Interpretation of the Slope Coefficient in the Model $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } \ln \left( X _ { i } \right) + u _ { i }$

question 34

Multiple Choice

The interpretation of the slope coefficient in the model $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } \ln \left( X _ { i } \right) + u _ { i }$
is as follows:

• A) a 1 % change in X is associated with a \(\beta _ { 1 } \%\) change in Y .
• B) a 1 % change in X is associated with a change in Y of 0.01 \(\beta _ { 1 }\)
• C) a change in X by one unit is associated with a 100 \(\beta _ { 1 } \%\) change in Y .
• D) a change in X by one unit is associated with a \(\beta _ { 1 }\) change in Y .

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