Question

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) =
24,512
(
0.755
)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 (best fit) is

f(x) ≈ 10,345.8(1.0955)^x.

Rounded to the nearest tenth as requested: f(x) ≈ 10,345.8(1.1)^x.

Estimated population after 25 years (using the regression) ≈ 101,267 people.