## Summary

The Excel INTERCEPT function returns the point at which a regression line will intersect the y-axis based on known x and y values.

## Purpose

Get intercept of linear regression line

## Return value

y-axis intercept value

## Arguments

• known_ys - An array or range of numeric data points (dependent values).
• known_xs - An array or range of numeric data points (independent values).

## Syntax

=INTERCEPT(known_ys, known_xs)

## How to use

The INTERCEPT function returns the point at which a line will intersect the y-axis based on known x and y values. The intercept point is based on a regression line plotted with known x and y values. A regression line is a line that best fits that known data points. Use the INTERCEPT function to calculate the value of a dependent variable when the independent variable is zero (0).

The INTERCEPT function takes two argumentsknown_ys and known_xs, which should be a range or array of numeric values. The known_ys represent dependent values and known_xs represent independent values. Both arguments must contain the same number values, or INTERCEPT will return #N/A.

### Example

Values can be entered directly in INTERCEPT as array constants:

``````=INTERCEPT({2;0},{-1;1}) // returns 1
``````

Typically, values are supplied as ranges. In the example shown, the formula in E5 is:

``````=INTERCEPT(C5:C9,B5:B9) // returns 2
``````

This formula returns 2, based on known_ys in C5:C9, and known_xs in B5:B9.

### Equation

The equation for the intercept of the regression line (a) is:

where b is the slope. The formula used by Excel to calculate slope is the same one used by the SLOPE function:

In the example shown, the intercept formula can be manually created like this:

``````=AVERAGE(C5:C9)-SLOPE(C5:C9,B5:B9)*AVERAGE(B5:B9)
``````

This formula returns the same result as that returned by the INTERCEPT function.

### Notes

• If there is only one set of points, INTERCEPT will return #DIV/0!
• If the count of known_ys is different from known_xs, INTERCEPT returns #N/A

Author

### Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.