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

Question

Quizplus · Accepted Answer

The graph of the prediction equation obtained from the model $\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 2 } + \varepsilon$ is a plane because it involves two predictor variables, $X_1$ and $ X_2$ which make it a two-dimensional space, and the response variable $y$ is the height of the plane above that space.

The Graph of the Prediction Equation Obtained from the Model y=β0+β1X1+β2X2+ε\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 2 } + \varepsilony=β0​+β1​X1​+β2​X2​+ε

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