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

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Choosing and Applying the Appropriate Transformation
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What is the main purpose of applying a transformation to non-linear data?

To linearise the data for easier modeling

What does the circle of transformations help us decide?

Which transformation linearises scatterplot

The circle of transformations only works for scatterplots with what type of trend?

Consistently increasing or decreasing

What does a good transformation show in its residual plot?

Random scatter around zero, no pattern

What indicates a poor transformation in a residual plot?

A curved pattern is visible

What does a higher r2r^2 value indicate?

A better fit of the model

When two transformations perform similarly well, which should you choose?

The one easiest to interpret

In the tree example, which transformation was chosen and why?

x2x^2, meaningful interpretation

In the tree example, what was the r2r^2 value for the 1y\frac{1}{y} transformation?

75.7%

For which scatterplot pattern does the circle of transformations NOT apply?

U-shaped patterns that go up then down

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