How to plot lines with unordered data points?

I have scanned x-y data for different line tracing. When I plot the points as a scatter, it gives a good presentation of the data, as shown in the figure below.

However, I want to separate out the data as different lines. Currently, the points are randomly aligned and the line plot shows a sketchy presentation (as shown in the figure below).

currently, the data are attached as 'xydata.mat' and excel sheet. I cannot find a way out that I can plot the data as three distinct lines. I want to As my data set contains more of these lines (some inclined), separating them out manually will be too much time consuming. Any ideas will be much appreciated.

Answer 1

[Star Strider]

One approach —

LD = load(websave('xydata','https://www.mathworks.com/matlabcentral/answers/uploaded_files/1171138/xydata.mat'));
T = LD.T;

TS = sortrows(T,1);
idx = [find([diff(TS.x)] > 100); size(T,1)];
s = diff([0; idx]);
C = mat2cell(table2array(TS), s, 2);

figure
hold on
for k = 1:numel(C)
    plot(C{k}(:,1), C{k}(:,2))
end
hold off
xlabel('x')
ylabel('y')

.