Consider the Following Two Models Involving Binary Variables as Explanatory

question 43

Essay

Consider the following two models involving binary variables as explanatory
variables: $$\widehat { \text { Wage } } = \widehat { \beta } _ { 0 } + \widehat { \beta } _ { 1 } D \text { Femme and } \widehat { \text { Wage } } = \widehat { \phi } _ { 1 } D \text { Femme } + \widehat { \phi } _ { 2 } \text { Male }$$ where Wage is the hourly wage rate, DFemme is a binary variable that is equal to 1 if the person is a female, and 0 if the person is a male. Male $= 1 -$ DFemme. Even though you have not learned about regression functions with two explanatory variables (or regressions without an intercept), assume that you had estimated both models, i.e., you obtained the estimates for the regression coefficients.
What is the predicted wage for a male in the two models? What is the predicted wage for a female in the two models? What is the relationship between the $\beta \mathrm { s }$ and the $\phi s$ ? Why would you prefer one model over the other?

Understand the neural systems involved in alertness and arousal.

Discern the contribution of different brain regions to multitasking and task performance.

Understand the functional divisions of the cerebral cortex and their locations.

Comprehend the discovery and importance of the motor cortex.

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Definitions:

Generativity

A concept in psychology referring to the concern for establishing and guiding the next generation, often associated with middle adulthood.

Stagnation

A period of little or no growth, development, or progress.

Object Permanence

The understanding, which develops throughout the first year, that an object continues to exist even when you cannot see it or touch it.

Sensorimotor Stage

The first stage in Piaget's theory of cognitive development, where infants learn through interacting with their environment using their senses and motor actions.