### Regression Analysis ExampleIn a regression analysis involving 30 observations, the following estimated regression equation was obtained:\[ \hat{y} = 19.7 + 3.7x_1 - 2.2x_2 + 7.6x_3 + 2.8x_4 \]#### Questions:**(a) Interpret coefficients in this estimated regression equation:****Interpret \( b_1 \) in this estimated regression equation.**- \( b_1 = 7.6 \) 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.- \( b_1 = 3.7 \) 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.- \( b_1 = -2.2 \) 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.- \( b_1 = 2.8 \) 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.**Interpret \( b_2 \) in this estimated regression equation.**- \( b_2 = -2.8 \) 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.- \( b_2 = -2.2 \) 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.- \( b_2 = 7.6 \) is an estimate of the change in \( y \) corresponding to a

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 19.7 + 3.7x, - 2.2x, + 7.6x3 + 2.8× 4 (a) Interpret b, in this estimated regression equation. O b, = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x, when xg, X2, and x, are held constant. O b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, x3, and x, are held constant. = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. O b; O b, = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, X3, and x, are held constant. O b, = 2.8 is an estimate of the change in y corresponding to a 1 unit change in x, when xg, X2, and x3 are held constant. %3D Interpret b, in this estimated regression equation. O bz = 2.8 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. O bz = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. O bz = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x4 are held constant. O bz = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, X3, and x, are held constant. O bz = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, x3, and x, are held constant. Interpret b, in this estimated regression equation. O bz = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x, when xµ ×2, and x4 are held constant. O bz = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant. = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x3 when x, x2, and x, are held constant. %3D O bz O bz = -2.8 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. %3D O bz = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, X3, and x, are held constant. %3D Interpret b, in this estimated regression equation. O b, = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x3 are held constant. O b4 = 2.8 is an estimate of the change in y corresponding to a 1 unit change in x, when xµ ×2, and x4 are held constant. O b, = 2.8 is an estimate of the change in y corresponding to a 1 unit change in x, when xg, X2, and x3 are held constant. O bą = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x, are held constant. %3! O ba = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. (b) Predict y when x, = 10, x, = 5, X3 = 1, and x, = 2.