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Chapter 4: Q. 15 (page 192)

One use of the linear correlation coefficient is as a descriptive measure of the strength of the-------- relationshảp between two variables.

Short Answer

Expert verified

Linear

Step by step solution

01

Given Information 

To find the blank in the given statement.

02

Explanation

The degree and direction of a linear relationship between two variables are measured by the linear correlation coefficient.

As a result, the linear correlation coefficient can be used to describe the strength of a linear link between two variables.

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Most popular questions from this chapter

In the article "Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy" (Amer. icon Industrial Hyeiene Asseciution Journal, Vol. 63, Pp. 756-761), 1. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were each counted by 10 viewers by means of an eyepiece method and a television screen method to determine the relationship between the counts done by each method. The results, in fibers per square millimeter, are presented on the Weiss Stats site.

(a). Decide whether use of the linear correlation coefficient as a descriptive measure for the data is

appropriate, If so, then also parts (b)and(c).

Answer true or false to the following statement and provide a reason for your answer: If there is a very strong positive correlation between two variables, a causal relationship exists between the two variables.

Determine the linear correlation coefficient by formula and definition.

As we noted, because of the regression identity, we can express the coefficient of determination in terms of the total sum of squares and the error sum of squares as r2=1-SSE/SST

a. Explain why this formula shows that the coefficient of determination can also be interpreted as the percentage reduction obtained in the total squared error by using the regression equation instead of the mean. Y¯. to predict the observed values of the response variable.

b.

x
6
6
6
2
2
5
4
5
1
4
y
290
280
295
425
384
315
355
325
425
325

What percentage reduction is obtained in the total squared error by using the regression equation instead of the mean of the observed prices to predict the observed prices?

7. Identify one use of a regression equation.
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