{ “title”: “REGR_INTERCEPT”, “language”: “en” }

Description

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

REGR_INTERCEPT(<y>, <x>)

Parameters

ParameterDescription
<y>The dependent variable. Supported type: Double.
<x>The independent variable. Supported type: Double.

Return Value

Returns a Double value representing the intercept of the univariate linear regression line for non-null pairs in a group. If there are no rows, or only rows that contain nulls, the function returns NULL.

Examples

-- Create sample table
CREATE TABLE test_regr_intercept (
  `id` int,
  `x` int,
  `y` int
) DUPLICATE KEY (`id`)
DISTRIBUTED BY HASH(`id`) BUCKETS AUTO
PROPERTIES (
  "replication_allocation" = "tag.location.default: 1"
);

-- Insert sample data
INSERT INTO test_regr_intercept VALUES
(1, 18, 13),
(2, 14, 27),
(3, 12, 2),
(4, 5, 6),
(5, 10, 20);

-- Calculate the linear regression intercept of x and y
SELECT REGR_INTERCEPT(y, x) FROM test_regr_intercept;

+----------------------+
| REGR_INTERCEPT(y, x) |
+----------------------+
|    5.512931034482759 |
+----------------------+

SELECT REGR_INTERCEPT(y, x) FROM test_regr_intercept where x>100;

When there are no rows in the group, the function returns NULL.

+----------------------+
| REGR_INTERCEPT(y, x) |
+----------------------+
|                 NULL |
+----------------------+