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Hello there,
IDL has many options to perform mathematical curve fitting. The tool most appropriate will depend on your data. Here is a link to all the options: https://www.harrisgeospatial.com/docs/routines-47.html
Below I have included a simple example using LINFIT, great for creating a "line of best fit" for your plotted data.
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;create 2D data
x = findgen(200)/2.
y = 8*sin(x)+x
;create a line of best fit for your data using LINFIT
coeffs = linfit(x,y)
line = coeffs[1]*x+coeffs[0]
;create plots of data (x's) and linear fit (red line)
p = plot(x,y,linestyle=6,symbol='x')
p2 = plot(x,linear_fit,color='red',linestyle=2,/overplot,thick=2)
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