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AP Statistics/Unit 2: Exploring Two-Variable Data
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Transformations for Linearity and Constant Variance

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A scatterplot of two variables reveals a curved relationship. The corresponding residual plot has a U-shape, and the variability of the response variable increases as the explanatory variable increases. Which of the following transformations would most effectively linearize the data and stabilize the variance?

A

Log(y) and log(x)

B

Log(y) only

C

Square root of y and x²

D

1/y and log(x)

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