question id: drill-Polynomials-1
Chap 12 Review
\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]
Exercise 1 In the polynomial \(a_0 + a_x x + a_y y + a_{xy} xy\), what is the term \(a_{xy}xy\) called?
Interaction term Quadratic term Linear term Constant term
Exercise 2 In the polynomial \(a_0 + a_x x + a_y y + a_{xx} xx\), what is the coefficient on the interaction term?
0 \(a_{xy}\) \(a_{xx}\) \(a_0\)
question id: drill-Polynomials-2
Exercise 3 Imagine a second-order polynomial in three inputs: \(x\), \(y\), and \(z\), like this: \[b_0 + b_x x + b_y y + b_z z + b_{xy} xy + b_{xz} xz + b_{xx} x^2 + b_{yy} y^2 + b_zz z^2\ .\] All of the possible second-order (or less) terms are shown, except for one. Which term is missing?
the interaction between \(y\) and \(z\)
the quadratic term in \(z\)
the linear term in \(y\)
the constant term
question id: drill-Polynomials-3
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