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What is one purpose of the linear correlation coefficient?

Short Answer

Expert verified

The linear correlation coefficient is used to determine the magnitude and direction of a linear link between two variables.

Step by step solution

01

Step-1 Concept Introduction

The linear correlation coefficient is a statistic calculated directly from data that indicates how strong the linear link between the two variables Xand Yis.

02

Step-2 Explanation

The linear correlation coefficient is used to determine the magnitude and direction of a linear link between two variables.

That is, it assesses how a variable's data is dispersed in relation to the values of other variables.

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Most popular questions from this chapter

PCBs and Pelicans. The data on shell thickness and concentration of PCBs for 60Anacapa pelican eggs from Exercise 4.76 are on the WeissStats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of r in terms of the linear relationship between the two variables in question.

Shortleaf Pines. The data from Exercise 4.80 for volume, in cubic feet, and diameter at breast height, in inches, for 70shortleaf pines are on the WeissStats site.

  1. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b)and (c).
  2. obtain the linear correlation coefficient
  3. interpret the value of rin terms of the linear relationship between the two variables in question.

Determine the linear correlation coefficient by formula and definition.

Home Size and Value. The data from Exercise 4.74 for home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 4.157 are on the WeissStats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of r in terms of the linear relationship between the mo variables in question.

Determine the linear correlation coefficient by formula and definition.

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