# REGR_INTERCEPT Function | Teradata Vantage - 17.10 - REGR_INTERCEPT - Advanced SQL Engine - Teradata Database

## Teradata Vantage™ - SQL Functions, Expressions, and Predicates

Product
Release Number
17.10
Published
July 2021
Language
English (United States)
Last Update
2021-07-28
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Returns the intercept of the univariate linear regression line through all non-null data pairs of the dependent and independent variable arguments.

For the REGR_INTERCEPT window function that performs a group, cumulative, or moving computation, see Window Aggregate Functions.

## Definition

The intercept is the point at which the regression line through the non-null data pairs in the sample intersects the ordinate, or y-axis, of the graph.

The plot of the linear regression on the variables is used to predict the behavior of the dependent variable from the change in the independent variable.

Note that this computation assumes a linear relationship between the variables.

There can be a strong nonlinear relationship between independent and dependent variables, and the computation of the simple linear regression between such variable pairs does not reflect such a relationship.

## Independent and Dependent Variables

An independent variable is a treatment: something that is varied under your control to test the behavior of another variable.

A dependent variable is something that is measured in response to a treatment.

For example, you might want to test the ability of various promotions to enhance sales of a particular item.

In this case, the promotion is the independent variable and the sales of the item made as a result of the individual promotion is the dependent variable.

The value of the linear regression intercept tells you the predicted value for sales when there is no promotion for the item selected for analysis.

## Computation

When there are fewer than two non-null data point pairs in the data used for the computation, then REGR_INTERCEPT returns NULL.

Division by zero results in NULL rather than an error.