public function testRegresion4()
{
$x = new MatrixBase($this->independent2->getNumRows() + 1, $this->independent2->getNumCols(), 50);
for ($m = 1; $m <= $x->getNumRows(); $m++) {
for ($n = 1; $n <= $x->getNumCols(); $n++) {
$x->setPoint($m, $n, $m == 1 ? 1 : $this->independent2->getPoint($m - 1, $n, 50), 50);
}
}
$y = $this->dependent2;
/**
* @var MatrixBase $xx
*/
$xx = $x->multiplicationMatrix($x->transposed());
/**
* @var MatrixBase $xy
*/
$xy = $y->multiplicationMatrix($x->transposed());
/**
* @var MatrixBase $b
*/
$b = $xy->multiplicationMatrix($xx->inversa());
$this->assertEquals(-94.55202884424345, round($b->getPoint(1, 1), 15));
$this->assertEquals(2.801551359811446, round($b->getPoint(1, 2), 15));
$this->assertEquals(1.072682616998037, round($b->getPoint(1, 3), 15));
}
public function regresionMultiple(MatrixBase $x, MatrixBase $y, $tipo = 'lineal')
{
$precision = $this->precision;
$newX = new MatrixBase($x->getNumRows() + 1, $x->getNumCols(), $precision);
for ($m = 1; $m <= $newX->getNumRows(); $m++) {
for ($n = 1; $n <= $newX->getNumCols(); $n++) {
$newX->setPoint($m, $n, $m == 1 ? 1 : $x->getPoint($m - 1, $n, $precision), $precision);
}
}
$xx = $newX->multiplicationMatrix($newX->transposed());
$xy = $y->multiplicationMatrix($newX->transposed());
$b = $xy->multiplicationMatrix($xx->inversa());
$result = array();
$result['tipo'] = $tipo;
for ($m = 1; $m <= $b->getNumCols(); $m++) {
$result['B' . ($m - 1)] = $b->getPoint(1, $m, $precision);
}
$predicted = array();
$residual = array();
$SE = 0;
$ST = 0;
for ($n = 1; $n <= $x->getNumCols(); $n++) {
$Y = $b->getPoint(1, 1, $precision);
for ($m = 1; $m <= $x->getNumRows(); $m++) {
$Y = bcadd($Y, bcmul($b->getPoint(1, $m + 1), $x->getPoint($m, $n, $precision), $precision), $precision);
}
$predicted[$n] = $Y;
$residual[$n] = bcsub($y->getPoint(1, $n, $precision), $predicted[$n], $precision);
$SE = bcadd($SE, $residual[$n], $precision);
$ST = bcadd($ST, $y->getPoint(1, $n, $precision), $precision);
}
$MSE = bcdiv($SE, $x->getNumCols(), $precision);
$MST = bcdiv($ST, $x->getNumCols(), $precision);
$SSE = bcadd(0, 0, $precision);
$SST = bcadd(0, 0, $precision);
for ($n = 1; $n <= $x->getNumCols(); $n++) {
$SSE = bcadd($SSE, bcmul(bcsub($residual[$n], $MSE, $precision), bcsub($residual[$n], $MSE, $precision), $precision), $precision);
$SST = bcadd($SST, bcmul(bcsub($y->getPoint(1, $n, $precision), $MST, $precision), bcsub($y->getPoint(1, $n, $precision), $MST, $precision), $precision), $precision);
}
$FR = bcdiv(bcmul(bcsub(bcsub($x->getNumCols(), $x->getNumRows(), $precision), 1, $precision), bcsub($SST, $SSE, $precision), $precision), bcmul($x->getNumRows(), $SSE, $precision), $precision);
$RRSQ = bcsub(1, bcdiv($SSE, $SST, $precision), $precision);
$result['correlacion'] = bcsqrt($RRSQ, $precision);
$result['r2'] = $RRSQ;
$result['estadisticoF'] = $FR;
return $result;
}
/**
* @depends testMultiplica4
*/
public function testInversa()
{
$tmp1 = new MatrixBase(3, 3, 5);
$tmp1->setPoint(1, 1, 2);
$tmp1->setPoint(1, 2, -2);
$tmp1->setPoint(1, 3, 2);
$tmp1->setPoint(2, 1, 2);
$tmp1->setPoint(2, 2, 1);
$tmp1->setPoint(2, 3, 0);
$tmp1->setPoint(3, 1, 3);
$tmp1->setPoint(3, 2, -2);
$tmp1->setPoint(3, 3, 2);
$inversa = $tmp1->inversa();
$tmp2 = new MatrixBase(3, 3, 5);
$tmp2->setPoint(1, 1, -1);
$tmp2->setPoint(1, 2, 0);
$tmp2->setPoint(1, 3, 1);
$tmp2->setPoint(2, 1, 2);
$tmp2->setPoint(2, 2, 1);
$tmp2->setPoint(2, 3, -2);
$tmp2->setPoint(3, 1, 7 / 2);
$tmp2->setPoint(3, 2, 1);
$tmp2->setPoint(3, 3, -3);
$this->assertTrue($tmp2->isMatrixEquals($inversa));
$tmp3 = new MatrixBase(3, 3, 5);
$tmp3->setPoint(1, 1, 1);
$tmp3->setPoint(1, 2, 0);
$tmp3->setPoint(1, 3, 0);
$tmp3->setPoint(2, 1, 0);
$tmp3->setPoint(2, 2, 1);
$tmp3->setPoint(2, 3, 0);
$tmp3->setPoint(3, 1, 0);
$tmp3->setPoint(3, 2, 0);
$tmp3->setPoint(3, 3, 1);
$multiplicada = $tmp1->multiplicationMatrix($inversa);
$this->assertTrue($tmp3->isMatrixEquals($multiplicada));
}