Utilising matlab plots to find constants

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Madlab 2018-10-8

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https://ww2.mathworks.cn/matlabcentral/answers/422838-utilising-matlab-plots-to-find-constants

评论： Jan 2018-10-8

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Finding m and c for an equation y = mx + c, with the help of math and plots.

In this case, y is data_model_1, x is time

Avoid other matlab functions like fitlm as it defeats the purpose.

I am having trouble finding the constants m and c. I am trying to find both m and c by limiting them to a range (Based on smart guess) and I need to deduce the m and c values based on the mean error range. The point where mean error range is closest to 0 should be my m and c values.

load(file)
figure
plot(time,data_model_1,'bo')
hold on
for a = 0.11:0.01:0.13
    c = -13:0.1:-10
      data_a = a * time + c ;
      plot(time,data_a,'r');
end
figure
hold on
for a = 0.11:0.01:0.13
    c = -13:0.1:-10
      data_a = a * time + c ;
      mean_range = mean(abs(data_a - data_model_1));
      plot(a,mean_range,'b.')
   end

EDIT: I have attached an example with the file "fil"

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Madlab 2018-10-8

编辑：Madlab 2018-10-8

How to find the constants m and c with the help of plots?

I know there are other methods but I need to use mathematics and plots to solve for m and c, nothing else. There is no polyfit function anywhere in my code either.