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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Heart weights of mammals Here are some data on the hearts of various mammals.23 Mammal

Chapter 12, Problem 45

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QUESTION:

Heart weights of mammals Here are some data on the hearts of various mammals.23 Mammal Length of cavity of left ventricle (cm) Heart weight (g) Mouse 0.55 0.13 Rat 1.0 0.64 Rabbit 2.2 5.8 Dog 4.0 102 Sheep 6.5 210 Ox 12.0 2030 Horse 16.0 3900 (a) Make an appropriate scatterplot for predicting heart weight from length. Describe what you see. (b) Use transformations to linearize the relationship. Does the relationship between heart weight and length seem to follow an exponential model or a power model? Justify your answer. (c) Perform least-squares regression on the transformed data. Give the equation of your regression line. Define any variables you use. (d) Use your model from part (c) to predict the heart weight of a human who has a left ventricle 6.8 centimeters long. Show your work. 4

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QUESTION:

Heart weights of mammals Here are some data on the hearts of various mammals.23 Mammal Length of cavity of left ventricle (cm) Heart weight (g) Mouse 0.55 0.13 Rat 1.0 0.64 Rabbit 2.2 5.8 Dog 4.0 102 Sheep 6.5 210 Ox 12.0 2030 Horse 16.0 3900 (a) Make an appropriate scatterplot for predicting heart weight from length. Describe what you see. (b) Use transformations to linearize the relationship. Does the relationship between heart weight and length seem to follow an exponential model or a power model? Justify your answer. (c) Perform least-squares regression on the transformed data. Give the equation of your regression line. Define any variables you use. (d) Use your model from part (c) to predict the heart weight of a human who has a left ventricle 6.8 centimeters long. Show your work. 4

ANSWER:

Step 1 of 4

a)

Length is on the horizontal axis and Heart weight is on the vertical axis.

Direction: Positive, because the scatter plot slopes upwards.

Form: Curved, because the points do not lie on a straight line.

Strength: Strong, because all points lie very close together in the same pattern.

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