- #1

sawtooth500

- 16

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Question - is the slope given by the regression formula mathematically equivalent to individually finding the slope between all the datapoints, and then averaging the slopes out? I'm a programmer, and I need to write code that runs a linear regression across parts, note here only parts, of a very large dataset - I'm only interested in the slope of the linear regression line in my sample nothing more. However, I only need a regression lines across a part of the dataset. Different parts will have some overlapping data points though. I'm thinking if I just find the individual slope between each point, and then run an average to calculate the slope of the regression line for the set of points I need, if that work work. It would certainly be more efficient code than running an entire regression equation over and over again.... My intuition says yes I will get the same result but I've forgotten the math necessary to prove that. Thank you!