In the quadratic model $$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 } , \text { a negative value of } \beta _ { 1 }$$ indicates downward concavity.

Name: In the quadratic model \[E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 } , \text { a negative value of } \beta _ { 1 }\] indicates downward concavity.
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A negative value of $\beta_1$ affects the linear component of the model, not the concavity. Downward concavity is indicated by a negative $\beta_2$.

In the Quadratic Model E(y)=β0+β1x+β2x2, a negative value of β1E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 } , \text { a negative value of } \beta _ { 1 }E(y)=β0​+β1​x+β2​x2, a negative value of β1​

In the Quadratic Model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 } , \text { a negative value of } \beta _ { 1 }$