The Squared Transformation (VCE SSCE General Mathematics): Flashcards
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Purpose of squared transformation
Purpose of squared transformation
To linearise curved data for linear regression
What transformation changes
What transformation changes
The explanatory variable (x-values)
What transformation changes
What transformation changes
The response variable (y-values)
Effect of transformation
Effect of transformation
High x-values stretched apart, low x-values stay closer
When to use transformation
When to use transformation
When scatterplot curves upward as x increases
When to use transformation
When to use transformation
When y increases at an increasing rate
Critical step after transformation
Critical step after transformation
Take square root to convert back to original units
Why only positive square root in real contexts
Why only positive square root in real contexts
Negative values don't make sense (heights, yields, distances)
Squared transformation type
Squared transformation type
A stretching transformation
Mnemonic for squared transformation
Mnemonic for squared transformation
Square to straighten, root to return