Aggregate linear regression functions
-------------------------------------

                 Key: CORE-4722
                 URL: http://tracker.firebirdsql.org/browse/CORE-4722
             Project: Firebird Core
          Issue Type: New Feature
          Components: Engine
            Reporter: Adriano dos Santos Fernandes


Linear regression functions:

REGR_AVGX(Y, X) = SUM(X) / N
REGR_AVGY(Y, X) = SUM(Y) / N
REGR_COUNT(Y, X) = N
REGR_INTERCEPT(Y, X) = REGR_AVGY(Y, X) - REGR_SLOPE(Y, X) * REGR_AVG_X(Y, X)
REGR_R2(Y, X) = POWER(CORR(Y, X),2)
REGR_SLOPE(Y, X) = COVAR_POP(Y, X)
REGR_SXX(Y, X) = N * VAR_POP(X)
REGR_SXY(Y, X) = N * COVAR_POP(Y, X)
REGR_SYY(Y, X) = N * VAR_POP(Y)

Contributed by Hajime Nakagami.

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