how to make trendline in matlab using polyfit command?

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I have 1:37 values in x-axis.X-axis represents years ranging from 1980 to 2016 and 1:37 values in y axis represents value of ozone data. So for this the command i am running is a=xlsread('H:\season\Ranking.xlsx','Sheet4'); x=[1:37] for i=1:37; slope(i)=polyfit(x,a(:,i)',2); end; Help me in correcting it.
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Pritha Pande
Pritha Pande on 22 May 2017
i tried running this command now, B = [1980 1981 1982 1983 1984 1985 ]; C = [0.500 0.500 0.756 0.662 0.605 0.579 ]; scatter(B,C) hold on ; my_poly=polyfit(B,C,3); X2= 1980:1985; % X data range Y2=polyval(my_poly,X2);
plot(X2,Y2); i have taken only few values from my data. i got the plot also now but they have commented that polynomial is badly conditioned. how to improve it(they asked to try centring and scaling the value),plus i want my trendline to touch every point on graph.(so that it gives clearer picture where and to what extend line is rising or falling)

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Accepted Answer

Star Strider
Star Strider on 22 May 2017
Edited: Star Strider on 22 May 2017
You only need to do this:
prms = polyfit(x,a,1);
to get a linear (first-degree polynomial) trend, with ‘prms(1)’ being the slope and ‘prms(2)’ the intercept. Here, ‘x’ and ‘a’ both have to have the same row and column sizes. (The last argument to polyfit is 2 if you want a quadratic fit.)
Use the polyval function to evaluate the line so you can plot it.
EDIT (18:34 UTC)
‘i want my trendline to touch every point on graph.(so that it gives clearer picture where and to what extend line is rising or falling)’
Use the interp1 function with 'spline' or some other method appropriate to what you want to do.
B = [1980 1981 1982 1983 1984 1985 ];
C = [0.500 0.500 0.756 0.662 0.605 0.579];
Bi = linspace(min(B), max(B));
trend_line = interp1(B, C, Bi, 'spline');
figure(1)
plot(B,C,'pg', Bi,trend_line,'-r')
grid
See the documentation on interp1 for details and method options.

More Answers (1)

Alex Backer
Alex Backer on 1 Jun 2020

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