Open sources alternatives to mycurvefit.com

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I need a framework/library/code that does exactly what MyCurveFit (https://www.mycurvefit.com/#about) does, does it exist? If it doesn't, I'm willing to do it from scratch, in this case, what programming language(s), frameworks and libraries do you recommend? I'm thinking about using R, starting by this course https://www.datacamp.com/courses/writing-efficient-r-code