To find the best prediction for the town's population after 12 years using the regression equation, we substitute x = 12 into the equation:
y = 1,200(1.2^x)
y = 1,200(1.2^12)
y ≈ 1,200(8.47)
y ≈ 10,164
Therefore, the best prediction for the town's population after 12 years is approximately 10,164.
The correct answer is not provided in the answer options.
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
Number of Years x 1 2 3 4 5 6 7 8
Population y
14401,440 1,728 2,074 2,488 2,986 3,583 4,300 5,160
Question
A regression equation for this data is y equals 1,200 left-parenthesis 1.2 right-parenthesis Superscript x Baseline.
Based on this data, which value is the ,begin emphasis,best,end emphasis, prediction for the town's population after 12 years?
Answer options with 4 options
A.
6,020
B.
8,600
C.
8,916
D.
10,699
1 answer