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education/statistics/Correlation and Regression.md
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@ -110,7 +110,8 @@ The distance of an individual point from the regression line. This only applies
- `residual = observed - predicted` for a given $x$ value - `residual = observed - predicted` for a given $x$ value
- The r.m.s error is the r.m.s size of the errors - The r.m.s error is the r.m.s size of the errors
$$ \sqrt{1-r^2}(\sigma_y) $$ $$ \sqrt{1-r^2}(\sigma_y) $$
- On a least squared regression line, the 1 r.m.s error away will contain $2\sigma$ of the data, and it should loosely mirror a normal curve.
- To approximate the R.M.S error for a scatter diagram, take a high value and a low value for a given $x$ coordinate, and divide by 4, because r.m.s error is within $2\sigma$ of either side of the line.
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# Terminology # Terminology