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Aggregate functions (Linear Regression) ,Window function syntax and usage

REGR_R2

Returns the coefficient of determination for non-null pairs in a group. It is computed for non-null pairs using the following formula:

NULLifVAR_POP(x)=0,else1ifVAR_POP(y)=0andVAR_POP(x)<>0,elsePOWER(CORR(y,x),2)
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Wherex is the independent variable andy is the dependent variable.

Syntax

Aggregate function

REGR_R2(y, x)
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Window function

REGR_R2(y, x)OVER([PARTITIONBY<expr3>])
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Arguments

y

The dependent variable. This must be an expression that can be evaluated to a numeric type.

x

The independent variable. This must be an expression that can be evaluated to a numeric type.

expr3

This is the optional expression used to group rows into partitions.

Important

Note the order of the arguments; the dependent variable is first.

Usage notes

  • DISTINCT is not supported for this function.

  • When this function is called as a window function, it does not support:

    • An ORDER BY clause within the OVER clause.

    • Explicit window frames.

Examples

CREATEORREPLACETABLEaggr(kINT,vDECIMAL(10,2),v2DECIMAL(10,2));INSERTINTOaggrVALUES(1,10,null);INSERTINTOaggrVALUES(2,10,11),(2,20,22),(2,25,null),(2,30,35);
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SELECTk,REGR_R2(v,v2)FROMaggrGROUPBYk;
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+---+----------------+| k | regr_r2(v, v2) ||---+----------------+| 1 | [NULL]         || 2 | 0.9976905312   |+---+----------------+
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