The Log Transformation (VCE SSCE General Mathematics): Flashcards

Straightens them to allow linear regression

Compresses scale at one end of axis

$\log_{10} x$ (base 10 logarithm)

Explanatory variable (x-values)

Response variable (y-values)

When x spans large range, rapid increase then levels off

When y shows exponential growth

Convert back: $y = 10^{\text{predicted value}}$

Compresses higher x relative to lower x values

Disease spread, population growth, compound interest