I hope this is the right place to post this, please move if you think it's needed. I want to ask how do I extrapolate a correlation from a bunch of numbers. I did and experiment on gyroscopes, and have three kinds of data, w1, w3 and F_t, the later two can be used to calculate L3 and T_g. My theory is: T_g = L3 * w1. Now, how do I prove or disprove this theoretical correlation with these data? I know that I can plot the theoretical values and the actual values on the same graph and say "look, they look like they are matching.", but how can I do this in a academically sophisticated way? Where can I learn to do this professionally? How should I evaluate the methods and the results?