In the quadratic regression model, if $\beta$₂ 0 then the relationship between x and y is an inverted U-shape.

Question

In the quadratic regression model, if $\beta$₂ > 0 then the relationship between x and y is an inverted U-shape.

Quizplus · Accepted Answer

In a quadratic regression model, if the coefficient of the squared term (usually denoted as $ \beta_2 $ in $ y = \beta_0 + \beta_1x + \beta_2x^2 + \epsilon $) is greater than 0, the relationship between x and y is a U-shape, not an inverted U-shape. An inverted U-shape would occur if $ \beta_2 < 0 $.

In the Quadratic Regression Model, If β\betaβ 2 ≫ 0 Then the Relationship Between X and Y

In the Quadratic Regression Model, If $\beta$ ₂ ≫ 0 Then the Relationship Between X and Y