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Chapter 2: Q1 (page 74)

Linear Correlation In this section we use r to denote the value of the linear correlation coefficient. Why do we refer to this correlation coefficient as being linear?

Short Answer

Expert verified

The term 鈥渓inear鈥� is used to describe the correlation coefficient because the correlation coefficient represented by r can be used to assess the straight-line pattern between the two variables on a scatterplot.

Step by step solution

01

Given information

It is known that r is used to represent the linear correlation coefficient between two variables.

02

Linearity property of correlation coefficient

The term linear refers to the straight-line pattern in general. On a scatter plot, if the sample values describe any approximate straight-line pattern, then measure r (linear correlation coefficient) can be used for the statistical measurement of strength and direction.

In other words, the term 鈥渓inear鈥� is used to denote the correlation coefficient (r) between two variables becauseit quantifies the straight-line pattern between the two quantitative variables.

As a result, a straight-line relationship is used to define r; linear correlation coefficient.

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