Which of the following statements is false regarding the graph of the second-order polynomial model y = β₀ + β₁x + β₂x² + ε? A)If β₂ is negative,the graph is concave,while if β₂ is positive,the graph is convex. B)The greater the absolute value of β₂,the smaller the rate of curvature. C)When we plot x versus y,the graph is shaped like a parabola. D)All of these choices are true.

Question

Quizplus · Accepted Answer

The statement in B is false because the greater the absolute value of β₂ (β₂), the greater the rate of curvature of the graph, not smaller. This coefficient determines the curvature of the parabola; a larger absolute value means the graph curves more sharply.

Which of the Following Statements Is False Regarding the Graph