Linear Regression with PHP

Multiple Linear Regression with Rubix

Involves two or more independent variables. For example, predicting house prices based on factors like size, number of rooms, and location. This involves more than one independent variable and one dependent variable. The equation for multiple linear regression is: $y = \beta_0 + \beta_1 x_1 + \beta_2 x_2 + \dots + \beta_n x_n$

Dataset

Test Data


                        
rooms,size,distance,price
1,500,8,157250
2,750,9,198500
2,700,7,207825
2,850,6,251175
2,900,5,276250
3,1150,6,327250
3,1200,4,374850
3,1350,5,368750
3,1250,5,382500
3,1300,3,425000
4,1500,4,442750
4,1600,3,493000
4,1650,2,531250
4,1700,3,535500
4,1800,3,545000
5,1900,2,612000
5,2000,1,657750
5,2050,2,663000
5,2150,2,678250
5,2100,1,701500
6,2300,2,742750
6,2400,1,786250
6,2450,2,807500
6,2500,1,850000
6,2550,1,862500


                    rooms,size,distance
4,1800,3,  // First house
2,1200,8   // Second house

Chart:

Features:

Result: Memory: 1.061 Mb Time running: 0.011 sec.


                Predictions for new houses:
--------------------------
House 1: $577,025.89
House 2: $351,275.14


Metrics:
-------
Mean Squared Error: $10,607,861,580.61
Root Mean Squared Error: $102,994.47
Mean Absolute Error: $99,150.52