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I have a list with a collection of points of X and Y, I want to check how much the points act as a straight line. The number of points is not fixed between lists, so I would like to know how to do it in general and not a short list like 5 points.

In addition, the difference between the points is the parameter time. I would like to know if there is command that can display the straight line and the dots on it like manipulation.

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  • $\begingroup$ Just a clarification: the structure of the list is: list = {{X1,Y1},{X2,Y2},....,{Xn,Yn}} with X1,...,Xn,Y1,...,Yn being numbers. Is that right? $\endgroup$
    – user49048
    Commented Mar 15, 2022 at 15:36
  • $\begingroup$ As a measure of how well some points lay on a line, you may use the "residuals", that is the differences between the y values and the y values of the line. As these have a sign, you may calculate the mean square. $\endgroup$
    – Daniel Huber
    Commented Mar 15, 2022 at 16:01

1 Answer 1

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data = Table[{x, x + RandomReal[{-.8, .8}]}, {x, 0, 20}];
lm = LinearModelFit[data, x, x]

Show[ListPlot@data, Plot[lm[x], {x, 0, 20}, PlotStyle -> Red]]

enter image description here

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