In the quadratic regression model, y = α + β₁x + β₂x² + e, the parabola opens upward when β₂ 0 and downward when β₂

Name: In the quadratic regression model, y = α + β 1 x + β 2 x 2 + e, the parabola opens upward when β 2 > 0 and downward when β 2 < 0.
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Question

In the quadratic regression model, y = α + β₁x + β₂x² + e, the parabola opens upward when β₂ > 0 and downward when β₂ < 0.

Quizplus · Accepted Answer

In a quadratic regression model, the parabola opens upward when the coefficient of the quadratic term (in this case, β₂) is positive, and downward when it is negative. Therefore, the statement is true.

In the Quadratic Regression Model, Y = α + β1x

In the Quadratic Regression Model, Y = α + β₁x