In the quadratic regression model $\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilon$ If the term ?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

Question

Quizplus · Accepted Answer

If $\beta_2$ is greater than zero, the parabola opens upward.

In the Quadratic Regression Model y=β0+β1X1+β2X12+ε\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilony=β0​+β1​X1​+β2​X12​+ε

In the Quadratic Regression Model $\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilon$