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Chapter 4: Q.4.118 (page 189)

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

For each exercise, determine the linear correlation coefficient using

a. Definition 4.8on page 183

b. Format 4.3on page 185,

A positive linear relationship between two variables means that one variable tends to increase linearly as the other------

In Exercise 4.10, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

y=-0.75x-5

13. Identify a use of the coefficient of determination as a descriptive measure.

The linear correlation coefficient of a set of data points is (),鈥�16.

a. Is the slope of the regression line positive or negative? Explain your answers.

b. Determine the coefficient of determination.
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