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Course: AP®︎/College Statistics > Unit 5

Lesson 5: Analyzing departures from linearity
Math
AP®︎/College Statistics
Exploring two-variable quantitative data
Analyzing departures from linearity
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Predict with transformed data

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Problem

A biologist observed a curved relationship between the average heart rates and life expectancies of several mammal species in a large sample. The biologist took the natural logarithm for the values of both variables, and they noticed a linear relationship in the transformed data.
Here's the least-squares regression equation for the transformed data, where life expectancy (LE) is in years and heart rate (HR) is in beats per minute.
ln⁡(LE)^=6.33−0.78ln⁡(HR)
According to this model, what is the predicted life expectancy of a mammal species whose average heart rate is 100 beats per minute?
You may round your answer to the nearest whole year.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
years