Data Transformations (VCE SSCE General Mathematics): Quizzes

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Data Transformations
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What does transforming data mean?

Changing scale by applying a function

What is linearisation?

Making non-linear relationships linear

In the squared transformation, what happens to the horizontal axis?

Changed from xx to x2x^2

When should you use the squared transformation?

For parabolic relationships

What does plotting yy against x2x^2 produce if yx2y \propto x^2?

Straight line through the origin

What does the reciprocal transformation involve?

Plotting yy against 1x\frac{1}{x}

When is the reciprocal transformation useful?

For hyperbolic relationships

Why doesn't the reciprocal transformation graph pass through the origin?

Because 10\frac{1}{0} is undefined

What does the slope of a linearised graph equal?

The constant of variation

In inverse variation, what happens as xx increases?

yy decreases

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