Consider the Following Multiple Regression Models (A)to (D)below $\widehat { E a m }$

question 58

Multiple Choice

Consider the following multiple regression models (a) to (d) below. DFemme = 1 if the individual is a female, and is zero otherwise; DMale is a binary variable which takes on the value one if the individual is male, and is zero otherwise; DMarried is a binary variable which is unity for married individuals and is zero otherwise, and DSingle is (1-DMarried) . Regressing weekly earnings (Earn) on a set of explanatory variables, you will experience perfect multicollinearity in the following cases unless:

• A) \(\widehat { E a m }\) _i = \(\widehat { \beta 0 }\) + \(\widehat { \beta 1 }\) DFemme + \(\widehat{\beta} _ { 2 }\) Dmale + \(\widehat { \beta } _ { 3 }\) X_3i
• B) \(\widehat{ E a m }\) _i = \(\widehat { \beta 0 }\) + \(\widehat { \beta 1 }\) DMarried + \(\widehat{\beta} _ { 2 }\) DSingle + \(\widehat { \beta } _ { 3 }\) X_3i
• C) \(\widehat { E a m }\)
• _i = \(\widehat { \beta 0 }\) + \(\widehat { \beta 1 }\) DFemme + \(\widehat { \beta } _ { 3 }\) X_3i
• D) \(\widehat { E a m }\) _i = \(\widehat { \beta 1 }\) DFemme + \(\beta _ { 2 }\) Dmale + \(\widehat { \beta _ { 3 }}\) DMarried + \(\widehat { \beta 4 }\) DSingle + \(\widehat { \beta 5 }\) X_3i

---

Definitions:

Conflict With Peers

Situations where disagreements or disputes arise between individuals of similar age groups, often leading to social stress or development of conflict resolution skills.

Maladjustment

Failure to adjust appropriately to environmental circumstances or to the demands of society or personal expectations.

Identity Status

The stage of development, conceptualized by James Marcia, that involves exploring and making decisions about one's role in society and personal beliefs and values.

Frequent, Intense Conflict

Regular and severe disagreements or arguments, often leading to stress or relationship breakdowns.