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VCE 12 General 2023

3.03 Data transformation

Interactive practice questions

A reciprocal transformation was used to linearise the $y$y-values from a bivariate set of data.

The equation of the least square line fitted to this data is $\frac{1}{y}=3-\frac{4x}{3}$1y=34x3.

Predict the value of $y$y when $x=2$x=2.

Medium
1min

A $\log_{10}$log10 transformation was used to linearise the $y$y-values from a bivariate set of data.

The equation of the least square line fitted to this data is $\log_{10}y=2.9+1.2x$log10y=2.9+1.2x.

Easy
2min

A reciprocal transformation was used to linearise the $y$y-values from a bivariate set of data.

The equation of the least square line fitted to this data is $\frac{1}{y}=-1.9-2.02x$1y=1.92.02x.

Easy
1min

A square transformation was used to linearise the $x$x-values from a bivariate set of data.

The equation of the least square line fitted to this data is $y=290+1246x^2$y=290+1246x2.

Easy
2min
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Outcomes

U3.AoS1.12

data transformation and its purpose

U3.AoS1.27

construct a residual analysis to test the assumption of linearity and, in the case of clear non-linearity, transform the data to achieve linearity and repeat the modelling process using the transformed data

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