Least-squares line fitting: Difference between revisions

From JSXGraph Wiki
No edit summary
No edit summary
Line 14: Line 14:
for (i=0;i<1000;i++) {
for (i=0;i<1000;i++) {
   xr = 10*(Math.random()-0.5);
   xr = 10*(Math.random()-0.5);
   yr = 0.3*xr+delta*(Math.random()-0.5) +1.0;
   yr = 0.*xr+delta*(Math.random()-0.5) +1.0;
   p.push(brd.create('point',[xr, yr], {withLabel:false}));
   p.push(brd.create('point',[xr, yr], {withLabel:false}));
}
}

Revision as of 19:41, 5 November 2010

This little JXSGraph application finds the line - described by homogeneous coordinates [a,b,1] - that minimizes

[math]\displaystyle{ \sum_{i=1}^n (ax_i+by_i+1)^2. }[/math]