## Tuesday, 31 December 2013

### 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

I hope you find this information useful.

### OBIEE 11g Release 11.1.1.7 – Evaluate Statistical Function –Linear Regression

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

REG LINE – Line co-ordinates based on slope and intercept

Calculation Example

#### 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")

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

This example is taken from the Sample Apps. I hope you find this copy/pasted information useful.