The OLS Residuals $\hat { u } _ { i } ,$

question 44

Multiple Choice

The OLS residuals, $\hat { u } _ { i } ,$ are defined as follows:

• A) \(\hat { Y } _ { i } - \widehat { \beta } _ { 0 } - \widehat { \beta } _ { 1 } X _ { i }\)
• B) \(Y _ { i } - \beta _ { 0 } - \beta _ { 1 } X _ { i }\)
• C) \(Y _ { i } - \hat { Y } _ { i }\)
• D) \(\left( Y _ { i } - \bar { Y } \right) ^ { 2 }\)

---

Definitions:

Earnings

The profit or income generated from work, investments, or business operations after deducting expenses.

Mixed Message

A communication that is conflicting or inconsistent, often leading to confusion or misunderstanding.

Verbal Expression

The process of conveying thoughts, feelings, or ideas through spoken words or in written form.

Poor Oral Expression

The difficulty or inability to articulate thoughts and ideas effectively through spoken words.