OBIEE 11g Release 11.1.1.7 – Linear Regression SLOPE, INTERCEPT, REGR_R2, REGR_COUNT, REGR_AVGX, REGR_AVGY

Statistics functions are used to compute covariance, correlation, and linear regression statistics. Each function operates on an unordered set. They also can be used as windowing and reporting functions.

Linear Regression

This example computes an ordinary least-squares regression line that expresses the Avg Order Size as a linear function of its Revenue. The following functions are used:

SLOPE - slope of determination of the regression line

INTERCEPT - intercept of determination of the regression line

REGR_R2 - coefficient of determination of the regression line

REGR_COUNT - number of items

REGR_AVGX - averageY

REGR_AVGY - averageX

Calculation Example

Description	This example computes an ordinary least-squares regression line that expresses the Avg Order Size as a linear function of its Revenue
Selected Items	"Time"."Per Name Month","Base Facts"."1- Revenue", "Simple Calculations"."25  Avg Order Size"
Sort Order	"Time"."Per Name Month"
Condition	"Time"."Per Name Year"  IN ( '2010',’2011’.’2012’)
Calculation Name	Slope, Intercept  Coefficient,m Average, Average2 and Reg Line
Database Calculation	Slope = REGR_SLOPE(Avg Order Size, Revenue) OVER(ORDER BY Avg Order Size) Intercept = REGR_INTERCEPT(Avg Order Size, Revenue) OVER(ORDER BY Avg Order Size) Coefficient = REGR_R2(Avg Order Size, Revenue) OVER(ORDER BY Avg Order Size) Average = REGR_AVGX(Avg Order Size, Revenue) OVER(ORDER BY Avg Order Size) Average 2 = REGR_AVGY(Avg Order Size, Revenue) OVER(ORDER BY Avg Order Size)
Calculation for Analytics Using Evaluate Function	Intercept EVALUATE_AGGR( 'REGR_INTERCEPT(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size") Slope EVALUATE_AGGR( 'REGR_SLOPE(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size") Coefficient EVALUATE_R2( 'REGR_SLOPE(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size") Average EVALUATE_ AVGX( 'REGR_SLOPE(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size") Average 2 EVALUATE_ AVGY( 'REGR_SLOPE(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size") Reg Line AGGREGATE(EVALUATE_AGGR( 'REGR_SLOPE(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size") BY 1)* AGGREGATE("Simple Calculations"."25  Avg Order Size" BY "Time"."Per Name Month")+EVALUATE_AGGR( 'REGR_INTERCEPT(%1, %2)', "Base Facts"."1- Revenue","Simple Calculations"."25  Avg Order Size")
Notes	EVALUATE_AGGR is used for shipping function to database for intercept, slope and Reg Line
Result – Table View/Graph View

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