Analyzing Departures from Linearity

AP Statistics· difficulty 3/5

A scatterplot of population vs time shows clear exponential growth.

Time (years) Population

Which transformation is most likely to linearize the relationship?

  • A

    Take log(population)

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  • B

    Take square root of time

  • C

    Standardize both variables

  • D

    Take square of population

Explanation

Exponential growth y = a * b^x becomes linear when log(y) is plotted against x.

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