The Squared Transformation (VCE SSCE General Mathematics): Quizzes

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The Squared Transformation
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What is the main purpose of the squared transformation?

To linearise curved data

In an x2x^2 transformation, which values are squared?

All x-values, y-values stay unchanged

When should you use an x2x^2 transformation?

When curve bends upward as x increases

What critical step is needed after using y2y^2 transformation to make predictions?

Take the square root

What happens to high x-values in an x2x^2 transformation?

Stretched further apart

When should you use a y2y^2 transformation?

When y increases at increasing rate

Using height=15604.90×time2\text{height} = 1560 - 4.90 \times \text{time}^2, find height at time = 5 seconds.

1437.5 m

Using yield2=4.45+2.29×fertiliser\text{yield}^2 = 4.45 + 2.29 \times \text{fertiliser}, find yield at 10 mL.

5.3 kg

Why use only positive square root for crop yield predictions?

Negative yields don't make sense

What's the key difference between x2x^2 and y2y^2 transformations at the end?

y2y^2 needs square root, x2x^2 doesn't

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