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SAP HANA Predictive Analysis Library (PAL)

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CREATE TYPE <strong>PAL</strong>_CONTROL_T AS TABLE("NAME" VARCHAR(100), "INTARGS" INT,<br />

"DOUBLEARGS" DOUBLE,"STRINGARGS" VARCHAR(100));<br />

DROP TYPE <strong>PAL</strong>_FER_FITTED_T;<br />

CREATE TYPE <strong>PAL</strong>_FER_FITTED_T AS TABLE("ID" INT,"Fitted" DOUBLE);<br />

DROP table <strong>PAL</strong>_FER_PDATA_TBL;<br />

CREATE column table <strong>PAL</strong>_FER_PDATA_TBL("POSITION" INT, "SCHEMA_NAME"<br />

NVARCHAR(256), "TYPE_NAME" NVARCHAR(256), "PARAMETER_TYPE" VARCHAR(7));<br />

insert into <strong>PAL</strong>_FER_PDATA_TBL values (1,'DM_<strong>PAL</strong>','<strong>PAL</strong>_FER_PREDICT_T','in');<br />

insert into <strong>PAL</strong>_FER_PDATA_TBL values (2,'DM_<strong>PAL</strong>','<strong>PAL</strong>_FER_COEFFICIENT_T','in');<br />

insert into <strong>PAL</strong>_FER_PDATA_TBL values (3,'DM_<strong>PAL</strong>','<strong>PAL</strong>_CONTROL_T','in');<br />

insert into <strong>PAL</strong>_FER_PDATA_TBL values (4,'DM_<strong>PAL</strong>','<strong>PAL</strong>_FER_FITTED_T','out');<br />

CALL SYS.AFLLANG_WRAPPER_PROCEDURE_DROP('DM_<strong>PAL</strong>','<strong>PAL</strong>_FORECAST_EXPR_PROC');<br />

CALL<br />

SYS.AFLLANG_WRAPPER_PROCEDURE_CREATE('AFL<strong>PAL</strong>','FORECASTWITHEXPR','DM_<strong>PAL</strong>','<strong>PAL</strong>_FO<br />

RECAST_EXPR_PROC',<strong>PAL</strong>_FER_PDATA_TBL);<br />

DROP TABLE #<strong>PAL</strong>_CONTROL_TBL;<br />

CREATE LOCAL TEMPORARY COLUMN TABLE #<strong>PAL</strong>_CONTROL_TBL ("NAME" VARCHAR(100),<br />

"INTARGS" INT, "DOUBLEARGS" DOUBLE,"STRINGARGS" VARCHAR(100));<br />

INSERT INTO #<strong>PAL</strong>_CONTROL_TBL VALUES ('THREAD_NUMBER',8,null,null);<br />

DROP TABLE <strong>PAL</strong>_FER_PREDICTDATA_TBL;<br />

CREATE COLUMN TABLE <strong>PAL</strong>_FER_PREDICTDATA_TBL ("ID" INT,"X1" DOUBLE, "X2" DOUBLE);<br />

INSERT INTO <strong>PAL</strong>_FER_PREDICTDATA_TBL VALUES (0,0.5,0.3);<br />

INSERT INTO <strong>PAL</strong>_FER_PREDICTDATA_TBL VALUES (1,4,0.4);<br />

INSERT INTO <strong>PAL</strong>_FER_PREDICTDATA_TBL VALUES (2,0,1.6);<br />

INSERT INTO <strong>PAL</strong>_FER_PREDICTDATA_TBL VALUES (3,0.3,0.45);<br />

INSERT INTO <strong>PAL</strong>_FER_PREDICTDATA_TBL VALUES (4,0.4,1.7);<br />

DROP TABLE <strong>PAL</strong>_FER_COEEFICIENT_TBL;<br />

CREATE COLUMN TABLE <strong>PAL</strong>_FER_COEEFICIENT_TBL ("ID" INT,"Ai" DOUBLE);<br />

INSERT INTO <strong>PAL</strong>_FER_COEEFICIENT_TBL VALUES (0,1.7120914258645001);<br />

INSERT INTO <strong>PAL</strong>_FER_COEEFICIENT_TBL VALUES (1,0.2652771198483208);<br />

INSERT INTO <strong>PAL</strong>_FER_COEEFICIENT_TBL VALUES (2,-3.471103742302148);<br />

DROP TABLE <strong>PAL</strong>_FER_FITTED_TBL;<br />

CREATE COLUMN TABLE <strong>PAL</strong>_FER_FITTED_TBL ("ID" INT,"Fitted" DOUBLE);<br />

CALL DM_<strong>PAL</strong>.<strong>PAL</strong>_FORECAST_EXPR_PROC(<strong>PAL</strong>_FER_PREDICTDATA_TBL,<br />

<strong>PAL</strong>_FER_COEEFICIENT_TBL, "#<strong>PAL</strong>_CONTROL_TBL", <strong>PAL</strong>_FER_FITTED_TBL) with overview;<br />

SELECT * FROM <strong>PAL</strong>_FER_FITTED_TBL;<br />

Expected Result<br />

<strong>PAL</strong>_FER_FITTED_TBL:<br />

3.3.4 Multiple Linear Regression<br />

Linear regression is an approach to modeling the linear relationship between a variable , usually referred<br />

to as dependent variable, and one or more variables, usually referred to as independent variables, denoted as<br />

predictor vector . In linear regression, data are modeled using linear functions, and unknown model<br />

parameters are estimated from the data. Such models are called linear models.<br />

264 P U B L I C<br />

<strong>SAP</strong> <strong>HANA</strong> <strong>Predictive</strong> <strong>Analysis</strong> <strong>Library</strong> (<strong>PAL</strong>)<br />

<strong>PAL</strong> Functions

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