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Chapter 10: Q. 3.12 (page 702)

The correlation between the heights of fathers and the heights of their grownup sons, both measured in inches, isr=0.52. If fathers’ heights were measured in feet instead, the correlation between heights of fathers and heights of sons would be

a. much smaller than 0.52.

b. slightly smaller than 0.52.

c. unchanged; equal to 0.52.

d. slightly larger than 0.52.

e. much larger than 0.52.

Short Answer

Expert verified

The correlation between heights of fathers and heights of sons would be (c) unchanged; equal to 0.52.

Step by step solution

01

Given information

We need to find correlation between heights of fathers and heights of sons if it is measured in feets .

02

Explanation

Here we are given with value ofr=0.52

Also , measurement of correlation is unitless , it does not change with changing units ;

Moreover, the value is also arbitary in nature .

Therefore , the correlation between heights of fathers and heights of sons would be unchanged; equal to 0.52.

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