Categories:

Aggregate Functions (Linear Regression) , Window Functions

# REGR_INTERCEPT¶

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.

## Syntax¶

Aggregation function

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

Window function

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

## 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 used as a window function:

• This function does not support:

• ORDER BY sub-clause in the OVER() clause.

• Window frames.

## Examples¶

```create or replace table 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           |
---+-----------------------+
``` 