beliefer opened a new pull request, #36708:
URL: https://github.com/apache/spark/pull/36708

   ### What changes were proposed in this pull request?
   `REGR_INTERCEPT` is an ANSI aggregate functions
   
   **Syntax**: REGR_INTERCEPT(y, x)
   **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.
   
   **Examples**:
   `select k, regr_intercept(v, v2) from aggr group by k;`
   
   |  k |    regr_intercept(v, v2) |
   |---|--------------------|
   | 1  |          [NULL]            |
   | 2 |     1.154734411       |
   
   The algorithm refers 
https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
   
   The mainstream database supports `regr_intercept` show below:
   **Teradata**
   https://docs.teradata.com/r/kmuOwjp1zEYg98JsB8fu_A/MpkZBV~MSTZ~I84I~ezxNg
   **Snowflake**
   https://docs.snowflake.com/en/sql-reference/functions/regr_intercept.html
   **Oracle**
   
https://docs.oracle.com/en/database/oracle/oracle-database/19/sqlrf/REGR_-Linear-Regression-Functions.html#GUID-A675B68F-2A88-4843-BE2C-FCDE9C65F9A9
   **DB2**
   
https://www.ibm.com/docs/en/db2/11.5?topic=af-regression-functions-regr-avgx-regr-avgy-regr-count
   **H2**
   http://www.h2database.com/html/functions-aggregate.html#regr_intercept
   **Postgresql**
   https://www.postgresql.org/docs/8.4/functions-aggregate.html
   **Sybase**
   
https://infocenter.sybase.com/help/index.jsp?topic=/com.sybase.help.sqlanywhere.12.0.0/dbreference/regr-intercept-function.html
   **Presto**
   https://prestodb.io/docs/current/functions/aggregate.html
   Exasol
   
https://docs.exasol.com/sql_references/functions/alphabeticallistfunctions/regr_function.htm
   
   ### Why are the changes needed?
   `REGR_INTERCEPT` is very useful.
   
   
   ### Does this PR introduce _any_ user-facing change?
   'No'. New feature.
   
   
   ### How was this patch tested?
   New tests.
   


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