REGR_INTERCEPT function [Aggregate]

Computes the y-intercept of the linear regression line that best fits the dependent and independent variables.

Syntax 1
REGR_INTERCEPT( dependent-expression , independent-expression )
Syntax 2
REGR_INTERCEPT( dependent-expression , independent-expression ) 
OVER ( window-spec )
window-spec : see Syntax 2 instructions in the Remarks section below
Parameters
  • dependent-expression   The variable that is affected by the independent variable.

  • independent-expression   The variable that influences the outcome.

Remarks

This function converts its arguments to DOUBLE, performs the computation in double-precision floating point, and returns a DOUBLE as the result. If the function is applied to an empty set, then it returns NULL.

The function is applied to the set of (dependent-expression and independent-expression) pairs after eliminating all pairs for which either dependent-expression or independent-expression is NULL. The function is computed simultaneously during a single pass through the data. After eliminating NULL values, the following computation is then made, where x represents the dependent-expression and y represents the independent-expression:

AVG( x ) - REGR_SLOPE( x, y ) * AVG( y )

For more information about the statistical computation performed, see Mathematical formulas for the aggregate functions.

Syntax 2 represents usage as a window function in a SELECT statement. As such, elements of window-spec can be specified either in the function syntax (inline), or in conjunction with a WINDOW clause in the SELECT statement. See the window-spec definition provided in WINDOW clause.

For more information about using window functions in SELECT statements, including working examples, see Window functions.

See also
Standards and compatibility
  • SQL/2003   SQL foundation feature (T621) outside of core SQL.

Example

The following example returns the value 4680.6094936855225.

SELECT REGR_INTERCEPT( Salary, ( YEAR( NOW() ) - YEAR( BirthDate ) ) )
FROM Employees;