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10 cards from this deck
Technique to simplify calculations using linear transformation
y=x−aby = \frac{x - a}{b}y=bx−a
Constant to shift data (often the mean)
Constant to scale data (often range or standard value)
xˉ=byˉ+a\bar{x} = b\bar{y} + axˉ=byˉ+a
Var(x)=b2×Var(y)\text{Var}(x) = b^2 \times \text{Var}(y)Var(x)=b2×Var(y)
SD(x)=b×SD(y)\text{SD}(x) = b \times \text{SD}(y)SD(x)=b×SD(y)
No change to shape or relative positions of data
Simplifies complex numbers, making calculations less error-prone
Only bbb (scaling factor), not aaa
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