In the quadratic regression model y = $\beta$ ₀ + $\beta$ ₁X + $\beta$ ₂ X² + $\varepsilon$ ,if the term $\beta$ 2 is ______ zero,then the parabola opens __________. A)less than,upward B)greater than,upward C)greater than,either upward or downward D)less than,either upward or downward E)equal to,downward

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The coefficient $\beta_2$ in a quadratic regression model determines the direction in which the parabola opens. If $\beta_2$ is greater than zero, the parabola opens upward.

In the Quadratic Regression Model Y = β\betaβ 0 β\betaβ 1X

In the Quadratic Regression Model Y = $\beta$ ₀ $\beta$ ₁X