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QLDGeneral MathematicsQuick questions

Unit 3: Bivariate data, sequences and change, and Earth geometry

Quick questions on Data transformation and linearisation (QCE General Mathematics Unit 3)

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are the three transformations?
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In General Mathematics you choose from three transformations, applied to either the explanatory variable xx or the response variable yy.
What is choosing the transformation?
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You pick the transformation that makes the transformed scatterplot look most like a straight line. In practice you compare residual plots or the value of r2r^2 for the candidate transformations and select the one with the most random residuals and the highest r2r^2. The transformation can be applied to either axis; sometimes squaring xx works while sometimes taking logy\log y works, so test rather than guess.
What is not reversing a transformation on y?
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If the response was logged, the equation predicts logy\log y, not yy. You must antilog at the end, or your answer is in the wrong units.

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