Question

this table shows the population of owls in a park in different years. the quadratic regression equation that models these data is $y=-1.34x^{2}+10.75x-11.3$.

using this model, the predicted number of owls in year 8 is about -11. does this prediction make sense? why or why not?
a. yes, because that is the result of substituting $x=8$.
b. no, because the owls went to live somewhere else.
c. no, because you cant have a negative number of owls.
d. yes, because the owl population is endangered.

Explanation:

A population count represents a physical number of organisms, which cannot be a negative value. The prediction of -11 owls is impossible in a real-world context, regardless of the mathematical output of the regression equation.

Answer:

C. No, because you can't have a negative number of owls.