One may wonder if people of similar heights tend to marry each other. For this purpose, you collect a sample of newly married couples. Let X be the height of the husband in centimeters and Y the height of the wife in centimeters. Consider the following statements: 1. If every man married a woman exactly 5 centimeters shorter than him, the correlation coefficient would be equal to -1. 2. Neither the covariance nor the correlation coefficient would change if the heights were measured in inches rather than in centimeters.
One may wonder if people of similar heights tend to marry each other. For this purpose, you collect a sample of newly married couples. Let X be the height of the husband in centimeters and Y the height of the wife in centimeters. Consider the following statements: 1. If every man married a woman exactly 5 centimeters shorter than him, the correlation coefficient would be equal to -1. 2. Neither the covariance nor the correlation coefficient would change if the heights were measured in inches rather than in centimeters.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:One may wonder if people of similar heights tend to marry each other. For this purpose, you collect a
sample of newly married couples. Let X be the height of the husband in centimeters and Y the height
of the wife in centimeters. Consider the following statements:
1. If every man married a woman exactly 5 centimeters shorter than him, the correlation coefficient
would be equal to -1.
2. Neither the covariance nor the correlation coefficient would change if the heights were
measured in inches rather than in centimeters.
Both statements are true
Only statement 2. is true
Both statements are false
Only statement 1. is true
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