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Chapter 3: Q.24 (page 162)

Data on dating Refer to Exercise 20.

(a) How would r change if all the men were 6 inches shorter than the heights given in the table? Does the correlation tell us if women tend to date men taller than themselves?

(b) If heights were measured in centimeters rather than inches, how would the correlation change? (There are 2.54centimeters in an inch.)

Short Answer

Expert verified
  1. The linear correlation coefficient r will remain unchanged.
  2. The relationship would remain unchanged.

Step by step solution

01

Part (a) Step 1: Given Information 

Data:

02

Part (a) Step 2: Explanation

The correlation between mean heights and women's heights will remain unchanged if all men's heights vary by the same amount, and therefore the linear correlation rwill remain unchanged.

03

Part (b) Step 1: Given Information 

Data:

04

Part (b) Step 2: Explanation 

The correlation would not change since it is unit-independent.

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