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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Solved: Multiple choice: Select the best answer for Exercises 71 to 78. Exercises 74 to

Chapter 3, Problem 77

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QUESTION:

Multiple choice: Select the best answer for Exercises 71 to 78. Exercises 74 to 78 refer to the following setting. Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x: 28 y^ = 6.4 + 0.93x Measurements are in centimeters (cm). Suppose that a tall child with arm span 120 cm and height 118 cm was added to the sample used in this study. What effect will adding this child have on the correlation and the slope of the least-squares regression line? (a) Correlation will increase, slope will increase. (b) Correlation will increase, slope will stay the same. (c) Correlation will increase, slope will decrease. (d) Correlation will stay the same, slope will stay the same. (e) Correlation will stay the same, slope will increase.

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QUESTION:

Multiple choice: Select the best answer for Exercises 71 to 78. Exercises 74 to 78 refer to the following setting. Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x: 28 y^ = 6.4 + 0.93x Measurements are in centimeters (cm). Suppose that a tall child with arm span 120 cm and height 118 cm was added to the sample used in this study. What effect will adding this child have on the correlation and the slope of the least-squares regression line? (a) Correlation will increase, slope will increase. (b) Correlation will increase, slope will stay the same. (c) Correlation will increase, slope will decrease. (d) Correlation will stay the same, slope will stay the same. (e) Correlation will stay the same, slope will increase.

ANSWER:

Step 1 of 2

Given,

The least-squares line for predicting height y from arm span x:

        

We need to determine the effect on the correlation and the slope of the least-squares regression line if we add an arm span of 120 cm and height 118 cm in this study:

 

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