Categories:

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

# REGR_INTERCEPTÂ¶

Returns the intercept of the univariate linear regression line for non-null pairs in a group. It is computed for non-null pairs using the following formula:

`AVG(y)-REGR_SLOPE(y,x)*AVG(x)`

Where `x` is the independent variable and `y` is the dependent variable.

## SyntaxÂ¶

Aggregation function

```REGR_INTERCEPT(y, x)
```

Window function

```REGR_INTERCEPT(y, x) OVER ( [ PARTITION BY <expr3> ] )
```

## ArgumentsÂ¶

`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 notesÂ¶

• 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.

## ExamplesÂ¶

```CREATE OR REPLACE TABLEE aggr(k INT, v DECIMAL(10,2), v2 DECIMAL(10, 2));
INSERT INTO aggr VALUES(1, 10, null);
INSERT INTO aggr VALUES(2, 10, 11), (2, 20, 22), (2, 25, null), (2, 30, 35);

SELECT k, REGR_INTERCEPT(v, v2) FROM aggr GROUP BY k;
```
```+---+-----------------------+
| k | regr_intercept(v, v2) |
|---+-----------------------|
| 1 | [NULL]                |
| 2 | 1.154734411           |
+---+-----------------------+
```
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