A Discriminant Function Is a Linear Combination of the Independent $$D F = v _ { 1 } X _ { 1 } + \mathcal { V } _ { 2 } X _ { 2 } + \ldots + \mathcal { V } _ { m } X _ { m }$$

question 27

True/False

A discriminant function is a linear combination of the independent variables that makes the predicted mean for each category as different as possible.This function is of the form
$$D F = v _ { 1 } X _ { 1 } + \mathcal { V } _ { 2 } X _ { 2 } + \ldots + \mathcal { V } _ { m } X _ { m }$$

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Definitions:

Scatterplot

A graph that displays data points based on two variables, showcasing any potential relationship or pattern between them.

Association

A relationship or connection between two or more entities, variables, or concepts, indicating that they may affect or be related to each other in some way.

Exponential

Referring to a mathematical function or growth characterized by an increasing rate as the value of the variable increases.

Quadratic

Relates to an algebraic expression of the second degree, typically in the form of \(ax^2 + bx + c = 0\), where \(a\), \(b\), and \(c\) are constants.