Estimating two coefficients out of three in quadratic function

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MariapL 2017-11-19

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评论： Star Strider 2017-11-19

Hi Everybody, I need to estimate coefficients of this equation aN^2 + bN. It is standard quadratic function but coefficient c=0. My data is a time series, where:

x= [ 0, 5 ,9, 10,15, 16]
y= [715,901, 1139, 1224,1553,1712]
F=polyfit(x,y,3)
plot(F)

As you can see I am using polyfit, which gives me 3 coefficients: a=1.9029 b=30.1841 c=712.7646. I need c to be 0. Do you know any way to calculate only a and b, setting c as 0? I will much appreciate your help, as i am stuck a bit. Thank you :)

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Star Strider 2017-11-19

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/367951-estimating-two-coefficients-out-of-three-in-quadratic-function#answer_291977

在 MATLAB Online 中打开

Try this:

x= [ 0, 5 ,9, 10,15, 16];
y= [715,901, 1139, 1224,1553,1712];
F = [x(:).^2 x(:)]\y(:);
eqnstr = sprintf('F(x) = %.2f\\cdotx^2 + %.2f\\cdotx', F)
xv = linspace(min(x), max(x));
figure(1)
plot(x, y, 'pg')
hold on
plot(xv, polyval([F(:)' 0],xv), '-r')
hold off
grid
text(3, 1300, eqnstr)

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MariapL 2017-11-19

It works too :) I deal with it by putting text(800,100,..) now its visible, becouse this point is actually on my plot. After I changed data the whole plot moved. :)