The graph of the prediction equation obtained from the model $\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilon$
Is a(n)____________.
A)Line
B)Plane
C)Parabola
D)Exponential curve

Question

Quizplus · Accepted Answer

Since the model contains a quadratic term, $\beta _ { 2 } X _ { 1 } ^ { 2 }$, the graph of the prediction equation will be a parabola.

The Graph of the Prediction Equation Obtained from the 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

The Graph of the Prediction Equation Obtained from the Model $\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilon$