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| Keywords: Linear least squares2.png Illustration of linear least squares self-made with MATLAB tweaked in Inkscape 06 21 5 April 2008 UTC Oleg Alexandrov Linear least squares 2 svg Created with MATLAB Source code MATLAB <source lang matlab > Illustration of linear least squares function main KSmrq's colors red 0 867 0 06 0 14; blue 0 129 205/256; green 0 200 78/256; yellow 2764 194 0/256; white 0 99 1 1 1; gray 0 1 white; Set up the grid and other parameters N 100; A -2 2; B 7; X linspace A B N ; C -4; D 4; Set up the figure lw 5; linewidth lw2 lw/2; fs 22; font size figure 1 ; clf; hold on; set gca 'fontsize' fs ; set gca 'linewidth' lw2 hold on; grid on; random numbers s 0 16; a 1 7; b 3; c 1; p 1; q 75; r 1 3; M 50; p s p; q s q; r s r; XX linspace A B M+1 ; YY p+q XX+r XX 2; Xr 7 1 M ; Yr Xr; for i 1 M rd rand 1 ; Xr i XX i rd+XX i+1 1-rd ; Yr i p+q Xr i +r Xr i 2 + 0 4 erfinv 2 rand 1 - 1 ; end myrad 0 05; for i 1 length Xr ball Xr i Yr i myrad red ; end axis equal; least squares fitting Yr Yr'; Xr Xr'; Mat 0 Xr+1 Xr Xr 2; V Mat' Yr; V Mat' Mat \V; pe V 1 ; qe V 2 ; re V 3 ; plot X pe+qe X+re X 2 'b' 'linewidth' lw ; grid on; set gca 'GridLineStyle' '-' 'xcolor' gray ; set gca 'GridLineStyle' '-' 'ycolor' gray ; set gca 'XTick' -2 -1 0 1 2 ; plot -2 2 3 5 3 5 'linewidth' lw2 'color' gray ; axis equal; axis -2 2 -1 7 3 5 ; saveas gcf 'Linear_least_squares2 eps' 'psc2' ; save as eps plot2svg 'Linear_least_squares svg' ; save as svg function ball x y r color Theta 0 0 7 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y color ; set H 'EdgeColor' 'none' </source> linear regression Files by User Oleg Alexandrov from en wikipedia Images with Matlab source code | ||||
