In the first-order model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } , \beta _ { 2 }$ represents the slope of the line relating $y$ to $x _ { 2 }$ when $\beta _ { 1 }$ and $\beta _ { 3 }$ are both held fixed.

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The Answer of In the first-order model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } , \beta _ { 2 }$ represents the slope of the line relating $y$ to $x _ { 2 }$ when $\beta _ { 1 }$ and $\beta _ { 3 }$ are both held fixed.

In the First-Order Model E(y)=β0+β1x1+β2x2+β3x3,β2E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } , \beta _ { 2 }E(y)=β0​+β1​x1​+β2​x2​+β3​x3​,β2​

In the First-Order Model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 3 } , \beta _ { 2 }$