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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Chapter 3, Problem 22AYU

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QUESTION:

Bone Length (Refer to Problem Bone Length) Research performed at NASA and led by Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats that were sent to space on Spacelab Life Sciences 2. The following data were collected.

(a) Draw a scatter diagram treating the length of the right humerus as the explanatory variable and the length of the right tibia as the response variable.

(b) Compute the linear correlation coefficient between the length of the right humerus and the length of the right tibia.

(c) Does a linear relation exist between the length of the right humerus and the length of the right tibia?

(d) Convert the data to inches (1 mm = 0.03937 inch), and recompute the linear correlation coefficient. What effect did the conversion from millimeters to inches have on the linear correlation coefficient?

Questions & Answers

QUESTION:

Bone Length (Refer to Problem Bone Length) Research performed at NASA and led by Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats that were sent to space on Spacelab Life Sciences 2. The following data were collected.

(a) Draw a scatter diagram treating the length of the right humerus as the explanatory variable and the length of the right tibia as the response variable.

(b) Compute the linear correlation coefficient between the length of the right humerus and the length of the right tibia.

(c) Does a linear relation exist between the length of the right humerus and the length of the right tibia?

(d) Convert the data to inches (1 mm = 0.03937 inch), and recompute the linear correlation coefficient. What effect did the conversion from millimeters to inches have on the linear correlation coefficient?

ANSWER:

Right

Humerus

(mm)

Right

Tibia

(mm)

Right

Humerus

(mm)

Right

Tibia

(mm)

24.80

36.05

25.90

37.38

24.59

35.57

26.11

37.96

24.59

35.57

26.63

37.46

24.29

34.58

26.31

37.75

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