The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is the population. What is the predicted population when x = 15? Round your answer to the nearest whole number.
A.3
B.126
C.316
D.9537

Option C: is the predicted population when

Explanation:

The regression equation for an exponential data is

Where x is the number of years and

y is the population

We need to determine the predicted population when

The population x can be determined by substituting in the equation

Thus, we have,

Using the logarithmic definition then

Rounding off to the nearest whole number, we get,

Thus, the predicted population when is 316

Hence, Option C is the correct answer.

step-by-step explanation:

options