Fitting Exponential Models to Data · Exercise 5

Fit a regression equation to a set of data and use the linear (or exponential) model to make predictions.

We determined in the second practice problem, earlier in this section, that the data below has an exponential trend. Use your graphing utility to find an exponential model that fits the data the best and write your exponential model below (Hint: instead of choosing Linear Regression, choose Exponential Regression).

$$\begin{array}{cccccccccc}\text{x}& \text{1}& \text{2}& \text{3}& \text{4}& \text{5}& \text{6}& \text{7}& \text{8}& \text{9}\\ \text{y}& \text{3.3}& \text{5.6}& \text{9.1}& \text{15.1}& \text{24.4}& \text{40.2}& \text{66.2}& \text{108.4}& \text{180.1}\end{array}$$

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 5