Analyzing Departures from Linearity

AP Statistics· difficulty 3/5

A linear model fits log(y-hat) = 1 + 0.30 x (log base 10).

log(y) vs x linear fit log(y-hat) = 1 + 0.30 x (log base 10) Predict y at x = 2

Predict y at x = 2.

  • A

    10^1.6 ~= 39.8

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  • B

    10 + 0.6

  • C

    1.6

  • D

    0.30 * 2

Explanation

log(y-hat) = 1 + 0.30(2) = 1.6, so y-hat = 10^1.6 ~= 39.8.

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