# Source: https://docs.oxla.com/sql-reference/sql-functions/aggregate-functions/regr-sxy.md

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# REGR_SXY()

## Overview

The `REGR_SXY()` aggregate function calculates the sum of products od deviations for the dependent variable (y) and the independent variable (x) in a linear regression analysis. This value represents the covariance-like term used to compute the slope of the regression line.

## Syntax

The syntax for this function is as follows:

```sql  theme={null}
REGR_SXY(y, x)
```

## Parameters

* `y`: variable being predicted
* `x`: variable used for prediction

## Example

For the needs of this section, we're going to use a simplified version of the `film` table from the Pagila database, containing only the `title`, `length` and `rating` columns. The complete schema for the `film` table can be found on the
<a href="https://www.postgresql.org/ftp/projects/pgFoundry/dbsamples/pagila/pagila/" target="_blank">Pagila</a> database website.

```sql  theme={null}
DROP TABLE IF EXISTS film;
CREATE TABLE film (
  title text NOT NULL,
  length int,
  rating int
);
INSERT INTO film(title, length, rating) VALUES
  ('ATTRACTION NEWTON', 83, 5),
  ('CHRISTMAS MOONSHINE', 150, 7),
  ('DANGEROUS UPTOWN', 121, 4),
  ('KILL BROTHERHOOD', 54, 3),
  ('HALLOWEEN NUTS', 47, 5),
  ('HOURS RAGE', 122, 7),
  ('PIANIST OUTFIELD', 136, 7),
  ('PICKUP DRIVING', 77, 3),
  ('INDEPENDENCE HOTEL', 157, 7),
  ('PRIVATE DROP', 106, 4),
  ('SAINTS BRIDE', 125, 3),
  ('FOREVER CANDIDATE', 131, 7),
  ('MILLION ACE', 142, 5),
  ('SLEEPY JAPANESE', 137, 4),
  ('WRATH MILE', 176, 7),
  ('YOUTH KICK', 179, 7),
  ('CLOCKWORK PARADISE', 143, 5);
```

The query above uses the `REGR_SXY()` function to calculate the sum of products of deviations for non-null pair of `rating` and `length`:

```sql  theme={null}
SELECT
    REGR_SXY(rating, length) AS SumOfSquaresXY
FROM film;
```

By running the above code, we'll get the following output:

```sql  theme={null}
  sumofsquaresxy   
-------------------
 612.4705882352937
(1 row)
```