ClickHouse/docs/en/sql-reference/aggregate-functions/reference/boundrat.md

slug	sidebar_position	title
/en/sql-reference/aggregate-functions/reference/boundingRatio	114	boundingRatio

Aggregate function that calculates the slope between the leftmost and rightmost points across a group of values.

Example:

Sample data:

SELECT
    number,
    number * 1.5
FROM numbers(10)

┌─number─┬─multiply(number, 1.5)─┐
│      0 │                     0 │
│      1 │                   1.5 │
│      2 │                     3 │
│      3 │                   4.5 │
│      4 │                     6 │
│      5 │                   7.5 │
│      6 │                     9 │
│      7 │                  10.5 │
│      8 │                    12 │
│      9 │                  13.5 │
└────────┴───────────────────────┘

The boundingRatio() function returns the slope of the line between the leftmost and rightmost points, in the above data these points are (0,0) and (9,13.5).

SELECT boundingRatio(number, number * 1.5)
FROM numbers(10)

┌─boundingRatio(number, multiply(number, 1.5))─┐
│                                          1.5 │
└──────────────────────────────────────────────┘