Analyzing Departures from Linearity

AP Statistics· difficulty 3/5

A power model y = a * x^b can be linearized by taking logs of both sides.

Power Model y = a * x^b Take log of both sides: log(y) = log(a) + b * log(x) Linear in which axes?

Which transformation produces a linear relationship?

  • A

    y vs log(x)

  • B

    log(y) vs x

  • C

    y^2 vs x

  • D

    log(y) vs log(x)

    check_circle

Explanation

log(y) = log(a) + b * log(x) is linear in log(x) and log(y).

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