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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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