The Reciprocal Transformation (VCE SSCE General Mathematics): Quizzes

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The Reciprocal Transformation
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What is the main purpose of a reciprocal transformation?

To linearise non-linear data

How does reciprocal transformation compare to logarithmic transformation?

More dramatic compression

What is the reciprocal of the variable xx?

1x\frac{1}{x}

What happens to values less than 1 after a reciprocal transformation?

They become greater than 1

When predicting with 1x\frac{1}{x} transformation, what value do you substitute?

The original value

What must you do after calculating a prediction with 1y\frac{1}{y} transformation?

Take the reciprocal

Which transformation compresses larger yy values relative to smaller values?

1y\frac{1}{y} transformation

Using 1width=0.015+0.086×5=0.445\frac{1}{\text{width}} = 0.015 + 0.086 \times 5 = 0.445, what is the width?

2.252.25 cm

What effect does 1x\frac{1}{x} transformation have on larger xx values?

Compresses them relative to smaller values

When should you use reciprocal transformations?

When you have a curved relationship to linearise

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