Estimate an equation where abil appears in Quadratic Form:

educ=b₀ + b₁motheduc + b₂fatheduc + b₃abil + b₄abil² + u

Using the estimates ₃ and ₄, use calculus to find the value of abil - call it abil*, where educ is minimized.

Given:Regression Model:

educ= 8.44869 + 0.1891314(motheduc)+ 01110854(fatheduc )+ 0.5054829(abil)

educ=education

mothereduc=mother's education

fatheduc=father's education

abil= cognitive ability