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Stepwise Linear Regression in t-SQL The code below will perform a two step linear regression in t-sql. -- The data table looks like x1,x2,y,dataid DECLARE @Data TABLE ( x FLOAT, y FLOAT ) --step 1 DELETE FROM @Data INSERT INTO @Data SELECT x1,y FROM Data WHERE DataID>90 DECLARE @m FLOAT, @sumX FLOAT, @sumX2 FLOAT, @sumY FLOAT, @sumXY FLOAT, @D FLOAT, @A1 FLOAT, @A2 FLOAT, @B FLOAT SELECT @m = COUNT(1), @sumX = SUM(x), @sumX2 = SUM(POWER(x,2)), @sumY = SUM(Y), @sumXY=SUM((x)*(y)) FROM @Data SET @D=@sumX2*@m-POWER(@sumX,2) SELECT @b=(@sumX2*@sumY-@sumX*@sumXY)/@D SELECT @a1=(@m*@sumXY-@sumX*@sumY)/@D PRINT @a1 PRINT @a2 PRINT @b --step 2 DELETE FROM @Data INSERT INTO @Data SELECT x2,y-(@A1*x1+@b) FROM Data WHERE DataID>90 SELECT @m = COUNT(1), @sumX = SUM(x), @sumX2 = SUM(POWER(x,2)), @sumY = SUM(Y), @sumXY=SUM((x)*(y)) FROM @Data SET @D=@sumX2*@m-POWER(@sumX,2) -- y = a1 * x1 + a2 * x2 + x SELECT @a2=(@m*@sumXY-@sumX*@sumY)/@D PRINT @a1 PRINT @a2 PRINT @b Additional Interesting Articles Pearson Coefficient ©2008 AndrewKimball.com |
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