Question

Determining the Regression Equation and Making Predictions
The table below shows the population of a town over x years.

A 2-column table with 5 rows. The first column is labeled years with entries 0, 5, 10, 15, 20. The second column is labeled population with entries 10,500; 16,000; 26,000; 40,000; 65,000.
What values, rounded to the nearest tenth, complete the exponential regression equation that models the data?

f(x) =
(
)x
Based on the regression equation and rounded to the nearest whole person, what is the estimated population after 25 years?

people

Answer 1

Exponential regression (rounded to the nearest tenth):
f(x) = 10,346.3(1.1)^x

Estimated population after 25 years (using this regression, rounded to the nearest person):
112,106 people.