# Regression equation table for Analyze Binary Response for Definitive Screening Design

Find definitions and interpretations for every statistic in the Regression equation table.

## Equations

Use the regression equation to describe the relationship between the response and the terms in the model. The regression equation is an algebraic representation of the model.

The first-order regression equation with a binary response and more than one term takes the following form:

If the model contains curvature, then a polynomial model of higher degree is used. The second-order model is:

In the regression equation, the letters represent the following:
• y' is the probability of the event, transformed with the link function
• b0 is the constant
• b1, b2, ..., bk are the coefficients
• X1, X2, ..., Xk are the values of the factors

## Interpretation

Minitab displays the regression equation in uncoded units unless the model is nonhierarchical.
###### Note

When the model is nonhierarchical, the regression equation is in coded units.