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 .

---

Definitions:

Interval Reinforcement

A type of operant conditioning scheduling wherein rewards are given to an organism at variable time intervals to encourage behavior.

Partial Reinforcement

A conditioning schedule in which a behavior is reinforced only some of the time, making the behavior more resistant to extinction.

Continuous Reinforcement

This is a learning process in behavior modification where a reward follows every correct response, enhancing the likelihood of the behavior being repeated.

Negative Reinforcement

A behavioral psychology term where the removal of an undesirable outcome strengthens a specific behavior.