Choosing and Applying the Appropriate Transformation (VCE SSCE General Mathematics): Flashcards

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Choosing and Applying the Appropriate Transformation
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Purpose of transformation in non-linear data

To linearise the data for simpler modelling

Circle of transformations

Visual tool to choose transformation to linearise scatterplot

Types of transformations in the circle

Squared, logarithmic, reciprocal

Circle of transformations limitation

Only for consistently increasing or decreasing trends

Best transformation criterion

Produces the best linear model

Residual plot purpose

Shows how well transformed data fits linear pattern

Good residual plot characteristic

Points randomly scattered around horizontal line at zero

r2r^2 (coefficient of determination) meaning

Percentage of variation explained by the other variable

Better fit indicated by r2r^2 value

Higher values closer to 100%

Choosing between similar transformations

Select the easiest to interpret in context

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