Further Modelling of Non-Linear Data (VCE SSCE General Mathematics): Flashcards

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Further Modelling of Non-Linear Data
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Purpose of transforming non-linear data

To reveal linear (straight-line) relationships

What kk represents in models y=kx2+cy = kx^2 + c, etc.

The slope of the transformed line

What cc represents in models y=kx2+cy = kx^2 + c, etc.

The y-intercept

Model equation for square transformation

y=kx2+cy = kx^2 + c

What to plot on horizontal axis for y=kx2+cy = kx^2 + c

x2x^2 values (not xx)

Model equation for reciprocal transformation

y=kx+cy = \frac{k}{x} + c

What to plot horizontally for y=kx+cy = \frac{k}{x} + c

1x\frac{1}{x} values (not xx)

Model equation for logarithmic transformation

y=klog10(x)+cy = k\log_{10}(x) + c

What to plot horizontally for logarithmic model

log10(x)\log_{10}(x) values (not xx)

How to find kk in transformed linear graph

Calculate slope using riserun\frac{\text{rise}}{\text{run}}

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