Consider the following regression model: = B₀ + B₁x₁ + + ε.If B₂ 0,then the parabola will open downward and if B₂

Question

Consider the following regression model: = B₀ + B₁x₁ + + ε.If B₂ > 0,then the parabola will open downward and if B₂ < 0,then the parabola will open downward.

Quizplus · Accepted Answer

The statement regarding the direction of the parabola is incorrect. The direction of the parabola will depend on the sign of the coefficient of the quadratic term (x²) which is given by B₁. If B₁ is positive, then the parabola will open upwards, and if it is negative, then the parabola will open downwards. The sign of B₂ is irrelevant in determining the direction of the parabola.

Consider the Following Regression Model: = B0 + B1x1

Consider the Following Regression Model: = B₀ + B₁x₁