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12 cards from this deck
A technique to simplify calculations by transforming data using a linear function
y=x−aby = \frac{x - a}{b}y=bx−a
Coded value
Original data value
Constant used to shift the data
Constant used to scale the data
yˉ=xˉ−ab\bar{y} = \frac{\bar{x} - a}{b}yˉ=bxˉ−a
xˉ=byˉ+a\bar{x} = b\bar{y} + axˉ=byˉ+a
Var(y)=Var(x)b2\text{Var}(y) = \frac{\text{Var}(x)}{b^2}Var(y)=b2Var(x)
Var(x)=b2×Var(y)\text{Var}(x) = b^2 \times \text{Var}(y)Var(x)=b2×Var(y)
SD(y)=SD(x)b\text{SD}(y) = \frac{\text{SD}(x)}{b}SD(y)=bSD(x)
SD(x)=b×SD(y)\text{SD}(x) = b \times \text{SD}(y)SD(x)=b×SD(y)
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