unable to select data-points in a plot

I need to programmatically generate a plot in which I need to dynamically select and deselect data points. which I am not able to do using the following code:

y = [2.091666958,1.929444472,1.954580163,1.903415586,1.875379629,1.875379629,1.903415586,1.875379629,1.942330552,1.903415586,1.903415586,1.929750906,1.942330552]'

x = [7.163732175,7.009281649,5.203296758,7.0004477,7.087439702,7,7.012988611,7.002354474,5.274252552,5.38274806,7.000976802,7,5.321121833]'

UIAxes = uiaxes

UIAxes.XGrid = 'on';

UIAxes.YGrid = 'on';

UIAxes.XMinorGrid = 'on';

UIAxes.YMinorGrid = 'on';

UIAxes.YScale='log';

UIAxes.XScale='log';

starting_x = [1 1];

fitfun = fittype(@(a0,a1,x) a0+(a1.*x));

[fitobject,gof,output] = fit(x,y,fitfun,'StartPoint',starting_x);

fig = figure('Visible','off');

ax = axes(fig);

FigHandle = plot(fitobject,x,y,'or');

hApp = copyobj(FigHandle, UIAxes);

Answer 1

[Sambit Supriya Dash]

[FDT,ROL] = rmoutliers(y);

OL = y(ROL) % this would be your detected outliers in your dataset (dependent variable)

[M K P Dev]

Thank you sambit for the repy.

It was my mistake that I used the words outliers instead of data points.

The problem is that I need to select datapoints graphically from the generated plot. remove them and replot it.

the removed data points should also be shown but with a cross mark, so that I can once again select them and replot the graph.