Chapter 12.2, Problem 45E

To determine

To find: the best option on the basis of given information.

Answer to Problem 45E

A plot of log y against x

Explanation of Solution

Given:

  $y=2.7{\left(0.316\right)}^x$

This equation is an exponential that is not linear and therefore the scatterplot is not a straight line. By taking all sides of the equation logarithm:

  $\begin{array}{c}\log y=\log \left\{2.7{\left(0.316\right)}^x\right\}\\ =\log 2.7+\log {0.316}^x\\ =\log 2.7+x\log 0.316\end{array}$

This is a linear equation of logy and x variables and therefore the scatterplot in this case would be straight line.

Hence, the correct option is (c)