Linear Regression with PHP

Simple Linear Regression with Rubix

Used when there is only one independent variable. For this example, let’s use a small dataset with square footage and price. This is the simplest form of linear regression, and it involves only one independent variable and one dependent variable. The equation for simple linear regression is: $y=\beta_{0} +\beta _{1} * x$

Dataset

Test Data


                        
size,price
800,168400
900,172300
1000,185600
1100,178900
1200,195400
1300,188900
1400,215600
1480,255600
1500,198400
1600,228900
1700,235400
1800,225800
1790,210800
1900,242300
2000,238900
2100,265400
2200,248900
2300,272300
2400,285600
2500,278900
2600,295400
2700,282300
2720,272300
2800,308900
2900,298400
3000,325600


                    size
2250    // New house: 2250 sq ft

Chart:

Result: Memory: 1.058 Mb Time running: 0.015 sec.


                Sample size: 2250 sq.ft
Predicted Price for: $263,495.68

Mean Squared Error (scaled): $177.025k²
Root Mean Squared Error (scaled): $13.31k