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> Performs simple (unidimensional) linear regression.

# simpleLinearRegression

<h2 id="simpleLinearRegression">
  simpleLinearRegression
</h2>

Introduced in: v20.1.0

Performs simple (unidimensional) linear regression.

**Syntax**

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

**Arguments**

* `x` — Column with explanatory variable values. [`Float64`](/reference/data-types/float)
* `y` — Column with dependent variable values. [`Float64`](/reference/data-types/float)

**Returned value**

Returns constants `(k, b)` of the resulting line `y = k*x + b`. [`Tuple(Float64, Float64)`](/reference/data-types/tuple)

**Examples**

**Perfect linear fit**

```sql title=Query theme={null}
SELECT arrayReduce('simpleLinearRegression', [0, 1, 2, 3], [0, 1, 2, 3]);
```

```response title=Response theme={null}
┌─arrayReduce('simpleLinearRegression', [0, 1, 2, 3], [0, 1, 2, 3])─┐
│ (1,0)                                                             │
└───────────────────────────────────────────────────────────────────┘
```

**Linear fit with offset**

```sql title=Query theme={null}
SELECT arrayReduce('simpleLinearRegression', [0, 1, 2, 3], [3, 4, 5, 6]);
```

```response title=Response theme={null}
┌─arrayReduce('simpleLinearRegression', [0, 1, 2, 3], [3, 4, 5, 6])─┐
│ (1,3)                                                             │
└───────────────────────────────────────────────────────────────────┘
```