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Chapter 12: Q. 51 (page 817)

Suppose that the relationship between a response variable y and an explanatory variable x is modelled by y=2.7(0.316)x. Which of these scatterplots would approximately follow a straight line?

a. A plot of y against x

b. A plot of y against log x

c. A plot of log y against x

d. A plot of log y against log x

e. A plot ofyy against x

Short Answer

Expert verified

The scatterplots that approximately follow a straight line is option (c).

Step by step solution

01

Given information

The variable xis modelled byy=2.7(0.316)x

02

Explanation

The given data is

y=2.7(0.316)x

Because this equation depicts a nonlinear exponential function, the scatter plot will be a straight line.

If both sides of the equation are logarithmized, the equation is a linear equation with variables logyand x, and the scatter plot would be a straight line in this case.

As a result, the best solution is (c).

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Most popular questions from this chapter

Braking distance, again How is the braking distance for a car related to the amount of tread left on the tires? Here are the braking distances (measured in car lengths) for a car making a panic stop in standing water, along with the tread depth of the tires (in 1/32inch):

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a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.

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A study of road rage asked random samples of 596men and 523women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of 0-20. The respondents were chosen by random-digit dialing of telephone numbers. Are the conditions for inference about a difference in means satisfied?

a. Maybe; the data came from independent random samples, but we should examine the data to check for Normality.

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Section I: Multiple ChoiceChoose the best answer for Questions AP4.1鈥揂P4.40.
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Which of the following significance levels and sample sizes would lead to the highest power for this test?
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e. n=500 and 伪=0.05
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