The exponential regression equation is y = 10500 * 1.5ˣ and the estimated population after 25 years is 369214712
From the complete question, we have the following parameters:
(x,y) = (0,10500) and (5,16000)
The initial value (a) is the value of y when x = 0.
So, we have
a = 10500
The rate (b) is calculated using:
b = 16000/10500
Evaluate
b = 1.52
The exponential function is represented as:
y = abˣ
So, we have:
y = 10500 * 1.5ˣ
The population after 25 years is calculated using:
y = 10500 * 1.5²⁵
Evaluate
y = 369214712
Hence, the exponential regression equation is y = 10500 * 1.5ˣ and the estimated population after 25 years is 369214712
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