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Chapter 4: Q. 13 (page 192)

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

Short Answer

Expert verified

The regression equation is used to make predictions on the basis of this measure.

Step by step solution

01

Concept Introduction

A coefficient of determination is an indicator of how useful a regression equation is for creating predictions.

02

Explanation 

As a measure of the goodness of fit of a model, the coefficient of determination provides information about the reliability of the model.

A regression line's fit to the actual data is measured in terms of this criterion.

Thus, when a statistical model is used to forecast future outcomes or to test hypotheses, it is imperative to use it correctly.

A goodness-of-fit measure describes how useful the regression equation is for deriving predictions.

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Most popular questions from this chapter

For each exercise, determine the linear correlation coefficient by using

a. Define 4on page 183,

b. Formula 4.3an page 185.

Compare your answer an para (a) and (b

Theyintercept of a line has no effect on the steepness of the line.

More Money, More Beer? The data for per capita income and per capita beer consumption for the 50states and Washington, D.C. from Exercise 4.77are on the Weiss Stats site.

(a) Decide whether finding a regression line for the data is reasonable. If so, then also do parts(b)-(d).

9. Based on the least-squares criterion, the line that best fits a set of data points is the one with the ________possible sum of squared errors.

The symbol that is used for the linear correlation coefficient is -------
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