# Manuals/calci/INTERCEPT

INTERCEPT (KnownYArray,KnownXArray)

• is the set of dependent data
• is the set of independent data.
• INTERCEPT(),returns the intercept of the linear regression line.

## Description

• This function is calculating the point where the line is intersecting y-axis using dependent and independent variables.
• Using this function we can find the value of   when   is zero.
• The intercept point is finding using simple linear regression.
• It is fits a straight line through the set of   points in such a way that makes vertical distances between the points of the data set and the fitted line as small as possible.
• Regression methods nearly to the simple ordinary least squares also exist.
• i.e.,The Least Squares method relies on taking partial derivatives with respect to the slope and intercept which provides a solvable pair of equations called normal equations.
• Suppose there are   data points  , where
• To find the equation of the regression line: .
• This equation will give a "best" fit for the data points.
• The "best" means least-squares method. Here b is the slope.
• The slope is calculated by: .
• In this formula  and  are the sample means AVERAGE of   and  .
• In  , the arguments can be numbers, names, arrays, or references that contain numbers.
• The arrays values are disregarded when it is contains text, logical values or empty cells.
• This function will return the result as error when any one of the argument is non-numeric or   and   is having different number of data points and there is no data.

## ZOS

• The syntax is to calculate intercept of the regression line in ZOS is  .
•   is the set of dependent data
•   is the set of independent data.
• For e.g.,intercept([14,16,19,15.25],[20.1,26,10,26.4])
Intercept

## Examples

A B C D E
1 4 5 2 10
2 12 20 15 11
3 25 -12 -9 30 18
4 10 15 -40 52 36
1. =INTERCEPT(A1:D1,A2:D2)= 10.13265306
2. =INTERCEPT(A3:E3,A4:E4)= 4.754939085

INTERCEPTS