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Chapter 12: Q. T12.9 (page 824)

T12.9 Which of the following would provide evidence that a power model of the form y=axp, wherep≠0and p≠1, describes the relationship between a response variable y and an explanatory variable x?
a. A scatterplot of y versus x looks approximately linear.
b. A scatterplot of Iny versus x looks approximately linear.
c. A scatterplot of y versus lnx looks approximately linear.
d. A scatterplot of Iny versus lnx looks approximately linear.
e. None of these

Short Answer

Expert verified

The correct answer is option (d) A scatterplot of Inyversus Inx looks approximately linear.

Step by step solution

01

Given information

To determine the relationship between a response variable yand an explanatory variable x.

02

Explanation

Since, the explanatory Variable also known as the independent variable.

To determine which of the following would give evidence that the relationship between a response variable y and an explanatory variable xis described by a power model of the type y=axp, wherep≠0,p≠1.
As a result, if we convert both variables to their logarithms, the scatterplot of a power model becomes linear, and option (d) is the proper option, resulting in a scatterplot of Inyversus Inxthat looks approximately linear.

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