The Shape of the Model Described by the Equation $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$

question 49

Multiple Choice

The shape of the model described by the equation $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$ could be:

• A) parabolic resembling an upright"U".
• B) parabolic resembling an upside-down"U".
• C) a straight line with an intercept \(\beta _ { 0 }\) and slope \(\beta _ { 2 } / \beta _ { 1 }\) .
• D) a straight line with an intercept \(\beta _ { 0 }\) and slope \(\beta _ { 1 } / \beta _ { 2 } .\).
• E) Both A and B.

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