Question

The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table.

Population Count Per Year
2 3 4
Number of Years (x)
1
5
6
7
8
Population (y)
1,440 1,728 2,074 2,488 2,986 3,583 4,300 5,160
A regression equation for this data is y = 1, 200(1.2).

Answer 1

D. 10,699

Explanation:

The given data for the Population Count Per Year is presented as follows;

Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8

The data regression equation is y = 1,200·(1.2)ˣ

Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;

After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32

Therefore, the option which is the best prediction is 10,699.