Fitting Exponential Models to Data · Exercise 169

Use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape of the scatter diagram to determine whether the data is best described by an exponential, logarithmic, or logistic model. Then use the appropriate regression feature to find an equation that models the data. When necessary, round values to five decimal places.

$$\begin{array}{cc}\text{x}& \text{f(x)}\\ \text{3}& \text{13.98}\\ \text{4}& \text{17.84}\\ \text{5}& \text{20.01}\\ \text{6}& \text{22.7}\\ \text{7}& \text{24.1}\\ \text{8}& \text{26.15}\\ \text{9}& \text{27.37}\\ \text{10}& \text{28.38}\\ \text{11}& \text{29.97}\\ \text{12}& \text{31.07}\\ \text{13}& \text{31.43}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §6.8 Fitting Exponential Models to Data · Exercise 169