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Chapter 4: Q. 4.40 (page 173)

For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.

Short Answer

Expert verified

The sets of data points that determine a regression line is

Step by step solution

01

Given information

The given points are

02

Explanation

Let us consider

The first graph depicts a strong linear relationship.

The data points are aligned in a straight line. As a result, the regression line must be linear. As a result, the data points that define the regression line are as follows:

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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.

8. Regarding the variables in a regression analysis.

a. what is the independent variable called?

b. what is the dependent variable called?

In Exercise 4.12, 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=-3x

In Exercise 4.11, 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=2

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.
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