Chapter 12, Problem T12.9SPT

To determine

To find out which of the following would provide evidence that a power model of the form $y=a{x}^p$ , where $p\ne 0,p\ne 1$ , describe the relationship between a response variable y and an explanatory variable x.

Answer to Problem T12.9SPT

Option (d) is the correct option.

Explanation of Solution

We have to find out that which of the following would provide evidence that a power model of the form $y=a{x}^p$ , where $p\ne 0,p\ne 1$ , describe the relationship between a response variable y and an explanatory variable x. Thus, the scatterplot of a power model becomes linear if we transform both variables to its logarithms and thus, option (d) is correct option that a scatterplot of lny versus lnx looks approximately linear.