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

Spreadsheet
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

Related Videos

INTERCEPTS

See Also

References