Mean + Std. Dev.
Regression
This description is intended for -- |
data whose histogram is single humped, not badly skewed, and not rife with outliers.
This description is intended for -- |
data which lies in a band about a straight line which is of roughly constant width, not rife with outliers.
Look at a Histogram (or stem+leaf plot)
before using this method. |
Look at a Scatter Plot
before using this method. |
Beware of Outliers |
Beware of Outliers |
Mean
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Specified by ONE number Least squares line
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Specified by TWO numbers
Residual
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Distance from the mean Residual
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(Vertical) distance from the line
s, the Standard Deviation
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"Typical" residual s or sy|x or others ...
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Alas, both name and notation of this entity differ amongst books & statistical packages. "Typical" rsidual
2/3 Rule (approximate)
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Often about 2/3 of the data is within ±2s of the sample mean 2/3 Rule (approximate)
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Often about 2/3 of the data is within a ±2s (vertical) distance of the line.
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Confidence Band for Population Line
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Bounded by a pair of curves within which we are __% sure the population line lies. For large samples the 95% band is about ±2s above and below the sample regression line. (Calculation: Harder, but many statistical packages will plot the curves for you.) |
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