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| 1 | <?php |
| 2 | /** |
| 3 | * Jingga |
| 4 | * |
| 5 | * PHP Version 8.1 |
| 6 | * |
| 7 | * @package TBD |
| 8 | * @copyright Dennis Eichhorn |
| 9 | * @license OMS License 2.0 |
| 10 | * @version 1.0.0 |
| 11 | * @link https://jingga.app |
| 12 | */ |
| 13 | declare(strict_types=1); |
| 14 | |
| 15 | namespace phpOMS\Math\Statistic\Forecast\Regression; |
| 16 | |
| 17 | use phpOMS\Math\Matrix\Matrix; |
| 18 | |
| 19 | /** |
| 20 | * Regression class. |
| 21 | * |
| 22 | * @package phpOMS\Math\Statistic\Forecast\Regression |
| 23 | * @license OMS License 2.0 |
| 24 | * @link https://jingga.app |
| 25 | * @since 1.0.0 |
| 26 | */ |
| 27 | final class MultipleLinearRegression extends RegressionAbstract |
| 28 | { |
| 29 | /** |
| 30 | * Get linear regression based on scatter plot. |
| 31 | * |
| 32 | * @latex y = b_{0} + b_{1} \cdot x |
| 33 | * |
| 34 | * @param array<array<int|float>> $x Obersved x values |
| 35 | * @param array<array<int|float>> $y Observed y values |
| 36 | * |
| 37 | * @return array [b0 => ?, b1 => ?] |
| 38 | * |
| 39 | * @since 1.0.0 |
| 40 | */ |
| 41 | public static function getRegression(array $x, array $y) : array |
| 42 | { |
| 43 | $X = new Matrix(\count($x), \count($x[0])); |
| 44 | $X->setMatrix($x); |
| 45 | $XT = $X->transpose(); |
| 46 | |
| 47 | $Y = new Matrix(\count($y)); |
| 48 | $Y->setMatrix($y); |
| 49 | |
| 50 | return $XT->mult($X)->inverse()->mult($XT)->mult($Y)->getMatrix(); |
| 51 | } |
| 52 | |
| 53 | /** |
| 54 | * {@inheritdoc} |
| 55 | */ |
| 56 | public static function getSlope(float $b1, float $y, float $x) : float |
| 57 | { |
| 58 | return 0.0; |
| 59 | } |
| 60 | |
| 61 | /** |
| 62 | * {@inheritdoc} |
| 63 | */ |
| 64 | public static function getElasticity(float $b1, float $y, float $x) : float |
| 65 | { |
| 66 | return 0.0; |
| 67 | } |
| 68 | } |