Question

Use exponential regression to fit the following data set. (round your answers to two decimal places.) x 1 2 3 4 5 y 46.0 49.2 52.7 56.4 60.3 y = 38.47 × 0.99x y = 44.58 × 0.97x y = 46.00 × 1.28x y = 37.29 × 1.36x y = 42.98 × 1.07x

Answer 1

Exponential regression is used to fit an exponential growth or decay model to a given data set. In this case, the fitted exponential regression equation is y = 38.47 * 0.99^x.

Step-by-step explanation:

Exponential regression is used to model data that exhibit exponential growth or decay. In this case, we have the data set with x and y values and we are asked to fit an exponential regression model to it.

To fit the exponential regression, we need to find the equation of the form y = ab^x that best fits the data. We can use logarithms to transform the equation into a linear form and then apply linear regression.

Using the given data set, the exponential regression equation is y = 38.47 * 0.99^x.