In a regression analysis involving 30 observations, the following estimated regression equation was obtained 16 9 3 6 x 1 2 4 x 2 7 8 x 3 2 7 x 4 (a) Interpret b 1 in this estimated regression equation b 1 2 4 is an estimate of the change in y corresponding to a 1 unit change in x 1 when x 2 , x 3 , and x 4 are held constant b 1 2 7 is an estimate of the change in y corresponding to a 1 unit change in x 4 when x 1 , x 2 , and x 3 are held constant b 1 3 6 is an estimate of the change in y corresponding to a 1 unit change in x 2 when x 1 , x 3 , and x 4 are held constant b 1 7 8 is an estimate of the change in y corresponding to a 1 unit change in x 3 when x 1 , x 2 , and x 4 are held constant b 1 3 6 is an estimate of the change in y corresponding to a 1 unit change in x 1 when x 2 , x 3 , and x 4 are held constant Interpret b 2 in this estimated regression equation b 2 2 4 is an estimate of the change in y corresponding to a 1 unit change in x 2 when x 1 , x 3 , and x 4 are held constant b 2 3 6 is an estimate of the change in y corresponding to a 1 unit change in x 1 when x 2 , x 3 , and x 4 are held constant b 2 2 4 is an estimate of the change in y corresponding to a 1 unit change in x 1 when x 2 , x 3 , and x 4 are held constant b 2 2 7 is an estimate of the change in y corresponding to a 1 unit change in x 4 when x 1 , x 2 , and x 3 are held constant b 2 7 8 is an estimate of the change in y corresponding to a 1 unit change in x 3 when x 1 , x 2 , and x 4 are held constant Interpret b 3 in this estimated regression equation b 3 7 8 is an estimate of the change in y corresponding to a 1 unit change in x 3 when x 1 , x 2 , and x 4 are held constant b 3 2 4 is an estimate of the change in y corresponding to a 1 unit change in x 1 when x 2 , x 3 , and x 4 are held constant b 3 2 7 is an estimate of the change in y corresponding to a 1 unit change in x 4 when x 1 , x 2 , and x 3 are held constant b 3 7 8 is an estimate of the change in y corresponding to a 1 unit change in x 2 when x 1 , x 3 , and x 4 are held constant b 3 3 6 is an estimate of the change in y corresponding to a 1 unit change in x 3 when x 1 , x 2 , and x 4 are held constant Interpret b 4 in this estimated regression equation b 4 7 8 is an estimate of the change in y corresponding to a 1 unit change in x 2 when x 1 , x 3 , and x 3 are held constant b 4 3 6 is an estimate of the change in y corresponding to a 1 unit change in x 4 when x 1 , x 2 , and x 3 are held constant b 4 2 4 is an estimate of the change in y corresponding to a 1 unit change in x 2 when x 1 , x 3 , and x 4 are held constant b 4 2 7 is an estimate of the change in y corresponding to a 1 unit change in x 3 when x 1 , x 2 , and x 4 are held constant b 4 2 7 is an estimate of the change in y corresponding to a 1 unit change in x 4 when x 1 , x 2 , and x 3 are held constant (b) Predict y when x 1 10, x 2 5, x 3 1, and x 4 2

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In a regression analysis involving 30 observations, the following estimated regression equation was obtained. =16.9+3.6 x 1 2.4 x 2 +7.8 x 3 +2.7 x

In a regression analysis involving 30 observations, the following estimated regression equation was obtained.

=16.9+3.6x₁2.4x₂+7.8x₃+2.7x₄

(a)

Interpretb₁in this estimated regression equation.

b₁=2.4 is an estimate of the change inycorresponding to a 1 unit change inx₁whenx₂,x₃, andx₄are held constant.

b₁= 2.7 is an estimate of the change inycorresponding to a 1 unit change inx₄whenx₁,x₂, andx₃are held constant.

b₁= 3.6 is an estimate of the change inycorresponding to a 1 unit change inx₂whenx₁,x₃, andx₄are held constant.

b₁= 7.8 is an estimate of the change inycorresponding to a 1 unit change inx₃whenx₁,x₂, andx₄are held constant.

b₁= 3.6 is an estimate of the change inycorresponding to a 1 unit change inx₁whenx₂,x₃, andx₄are held constant.

Interpretb₂in this estimated regression equation.

b₂=2.4 is an estimate of the change inycorresponding to a 1 unit change inx₂whenx₁,x₃, andx₄are held constant.

b₂= 3.6 is an estimate of the change inycorresponding to a 1 unit change inx₁whenx₂,x₃, andx₄are held constant.

b₂=2.4 is an estimate of the change inycorresponding to a 1 unit change inx₁whenx₂,x₃, andx₄are held constant.

b₂= 2.7 is an estimate of the change inycorresponding to a 1 unit change inx₄whenx₁,x₂, andx₃are held constant.

b₂= 7.8 is an estimate of the change inycorresponding to a 1 unit change inx₃whenx₁,x₂, andx₄are held constant.

Interpretb₃in this estimated regression equation.

b₃= 7.8 is an estimate of the change inycorresponding to a 1 unit change inx₃whenx₁,x₂, andx₄are held constant.

b₃=2.4 is an estimate of the change inycorresponding to a 1 unit change inx₁whenx₂,x₃, andx₄are held constant.

b₃=2.7 is an estimate of the change inycorresponding to a 1 unit change inx₄whenx₁,x₂, andx₃are held constant.

b₃= 7.8 is an estimate of the change inycorresponding to a 1 unit change inx₂whenx₁,x₃, andx₄are held constant.

b₃= 3.6 is an estimate of the change inycorresponding to a 1 unit change inx₃whenx₁,x₂, andx₄are held constant.

Interpretb₄in this estimated regression equation.

b₄= 7.8 is an estimate of the change inycorresponding to a 1 unit change inx₂whenx₁,x₃, andx₃are held constant.

b₄= 3.6 is an estimate of the change inycorresponding to a 1 unit change inx₄whenx₁,x₂, andx₃are held constant.

b₄=2.4 is an estimate of the change inycorresponding to a 1 unit change inx₂whenx₁,x₃, andx₄are held constant.

b₄= 2.7 is an estimate of the change inycorresponding to a 1 unit change inx₃whenx₁,x₂, andx₄are held constant.

b₄= 2.7 is an estimate of the change inycorresponding to a 1 unit change inx₄whenx₁,x₂, andx₃are held constant.

(b)

Predictywhenx₁= 10,x₂= 5,x₃= 1, andx₄= 2.

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