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Chapter 4: Q.4.119 (page 189)

The linear correlation coefficient is also known by another name. what is it?

Short Answer

Expert verified

The other name is Pearson product moment correlation coefficient.

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 Y is.

02

Step-2 Explanation

The other name of linear correlation coefficient is pearson product moment correlation coefficient.

The Pearson product-moment correlation coefficient (abbreviated as r) is a measure of the strength of a linear relationship between two variables.

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Most popular questions from this chapter

(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables for x,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.

Sample Covariance. For a set of n data points, the sample covariance, sxy+is given by

The sample covariance can be used as an alternative method for tinding the slope and y-intercept of a regression line. The formulas are

b1=sv/xk2andb0=y^-b1i^n

where sidenotes the sample standard deviation of the x-values.

a. Use Equation (4.1) to determine the sample covariance of the data points in Exercise 4,45.

b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in Exercise 4.57.

A value of rclose to ------- indicates that there is either no linear relationship between the variables or a weak one.

6. What kind of plot is useful for deciding whether finding a regression line for a set of data points is reasonable?
Regarding linear equations with one independent variable, answer the following questions:
a. What is the general form of such an equation?
b. In your expression in part (a), which letters represent constants and which represent variables?
c. In your expression in part (a), which letter represents the independent variable and which represents the dependent variable?
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