Given an independent variable x and a dependent variable y, a quadratic regression model of the form y = ₀ + ₁x + ₂x² + is constructed.Then:

a)Nonsense:such a model can never be validly constructed.

b)The model can be constructed and may predict that the maximum y occurs at the minimum x-value.

c)The model can be constructed and may predict that the maximum y occurs at the maximum x-value.

d)The model can be constructed and may predict that the minimum y occurs at the minimum x-value.

e)The model can be constructed and may predict that the minimum y occurs at the maximum x-value.

f)The model can be constructed and may predict that the maximum y occurs near the middle of the x-values.

g)The model can be constructed and may predict that the minimum y occurs near the middle of the x-values.

h)Any of b through g may occur.

The best choice is ________________.