The Objective Function in Regression Analysis Is
A) $$\operatorname { MIN } \sum _ { i = 1 } ^ { n } \left( \hat { Y } _ { i } - Y _ { i } \right)$$

question 19

Multiple Choice

The objective function in regression analysis is

• A)\[\operatorname { MIN } \sum _ { i = 1 } ^ { n } \left( \hat { Y } _ { i } - Y _ { i } \right)\]
• B)\[\operatorname { MIN } \sum _ { \mathrm { i } = 1 } ^ { \mathrm { n } } \left( \hat { \mathrm { Y } } _ { \mathrm { i } } - \mathrm { Y } _ { \mathrm { i } } \right) ^ { 2 }\]
• C)\[\operatorname { MIN } \sum _ { i = 1 } ^ { n } \left( \hat { Y } _ { i } - X _ { i } \right)\]
• D)\[\operatorname { MIN } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \hat { Y } _ { i } \right) ^ { 2 }\]

---

Definitions:

Divide

The operation of partitioning a number or algebraic expression by another, which essentially measures how many times the divisor fits into the dividend, mathematically.

Simplify

The process of altering an expression or equation to make it easier to work with, often by combining like terms or applying mathematical properties.

Ratio

A ratio is a relationship between two numbers indicating how many times the first number contains the second or how these two quantities are proportionally related.

Circular Pool

A pool shaped in a perfect circle, often used in geometry to discuss circumference, area, and other circular measurements.