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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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All brawn? The figure below plots the average brain weight in grams versus average body

Chapter 3, Problem 22

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QUESTION:

All brawn? The figure below plots the average brain weight in grams versus average body weight in kilograms for 96 species of mammals.12 There are many small mammals whose points overlap at the lower left. (a) The correlation between body weight and brain weight is r = 0.86. Explain what this value means. (b) What effect does the elephant have on the correlation? Justify your answer. Body weight (kg) 4500 0 400 800 1200 1600 2000 2400 2800 Brain weight (g) 0 Hippo Human Dolphin Elephant 4000 3500 3000 2500 2000 1500 1000

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QUESTION:

All brawn? The figure below plots the average brain weight in grams versus average body weight in kilograms for 96 species of mammals.12 There are many small mammals whose points overlap at the lower left. (a) The correlation between body weight and brain weight is r = 0.86. Explain what this value means. (b) What effect does the elephant have on the correlation? Justify your answer. Body weight (kg) 4500 0 400 800 1200 1600 2000 2400 2800 Brain weight (g) 0 Hippo Human Dolphin Elephant 4000 3500 3000 2500 2000 1500 1000

ANSWER:

Step 1 of 4:

Given,

No. of species of mammals,

Using the scatterplot between the average brain weight in grams and average body weight in kilograms for 96 species of mammals we can determine the following:

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