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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

Fill in the blank.

The graph of a linear equation with one independent variable is a _____.

Corvette Prices. In Exercise 4.59. you determined a regression equation that can be used to predict the price of a Corvette, given its age.

a. Should that regression equation be used to predict the price of a 4-year-old Corvette? a 10-year-old Corvette? Explain your answers.

b. For which ages is the use of the regression equation to predict price reasonable?

In Exercise 4.6, 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.

Given equation is,

y=2x-1

Wasp Mating Systems. In the paper "Mating System and Sex Allocation in the Gregarious Parasitoid Cotesia glomerata" (Animal Behaviour, Vol. 66, pp. 259-264). H. Gu and S. Dorn reported on various aspects of the mating system and sex allocation strategy of the wasp C. glomerata, One part of the study involved the investigation of the percentage of male wasps dispersing before mating in relation to the brood sex ratio (proportion of males). The data obtained by the researchers are on the WeissStats site.

a. Obtain a scatterplot for the data.

b. Is it reasonable to find a regression line for the data? Explain your answer.

In Exercise 4.9, 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.

Given equation is,

y=0.5x-2
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