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Just getting this out there; I'll try to fill in some explanations soon.


m = {{N\sum{xy} - \sum{x}\sum{y}}\over{N\sum{x^2}-(\sum{x})^2}}


b = {{\sum{x^2}\sum{y} - \sum{x}\sum{y}}\over{N\sum{x^2}-(\sum{x})^2}}


d = {\sum_{i=1}^N({y_i - mx_i -b})^2}


\sigma_m = {\sqrt{\left|{{d \times N}\over{(N\sum{x^2}-(\sum{x})^2) \times (N-2)}}\right|}}


\sigma_b = {\sqrt{\left|{{d \times {\sum{}x^2}}\over{(N\sum{x^2}-(\sum{x})^2) \times (N-2)}}\right|}}


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