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

question 13

Multiple Choice

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

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

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Definitions:

Island Biogeography

The study of the distribution and dynamics of species on islands, focusing on the factors that affect species richness and extinction rates.

Immigration Rates

The frequency or number of individuals moving into a region or country from another region or country.

Extinction Rates

The speed at which species become extinct over a certain period of time, often accelerated by human activities.

Resource Partitioning

A concept in ecology where species adapt to compete less directly for environmental resources, often by specializing in different niches or times for activity.