In a regression analysis involving 30 observations, the following estimated regression equation was obtained.ŷ = 16.7 + 3.5x1 – 2.4x2 + 7.6x3 + 2.6×4(a) Interpret b, in this estimated regression equation.b1= 3.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant.bị3.5 is an estimate of the change in y corresponding to a 1 unit change inX1whenX2, X31andX4 are held constant.%Db1= 7.6 is an estimate of the change in y corresponding to a 1 unit change inX3whenX1, X21andX4are held constant.b12.6 is an estimate of the change in y corresponding to a 1 unit change inX4whenX1, X2,andX3 are held constant.%D= -2.4 is an estimate of the change in y corresponding to a 1 unit change in x,whenX31b1andX4are held constant.Interpret b, in this estimated regression equation.b2= -2.4 is an estimate of the change in y corresponding to a 1 unit change inX2whenX1, X31andXa are held constant.b2 = 3.5 is an estimate of the change in y corresponding to a 1 unit change inX1whenX2, X31andX4 are held constant.b2= 7.6 is an estimate of the change in y corresponding to a 1 unit change in x3 when x,,andXa are held constant.b2 == 2.6 is an estimate of the change in y corresponding to a 1 unit change inX4whenX1, X21andX, are held constant.b2= -2.4 is an estimate of the change in y corresponding to a 1 unit change in x,whenX2, X31and x4are held constant.Interpret b, in thisstimated regression equation.O b3 = 7.6 is an estimate of the change in y corresponding to a 1 unit change inX3whenX1, X21andX4are held constant.b33.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,,andXa are held constant.b3= -2.4 is an estimate of the change in y corresponding to a 1 unit change inX1whenX2, X31andX4 are held constant.b3 == -2.6 is an estimate of the change in y corresponding to a 1 unit change in x4whenX1, X21and x, are held constant.b37.6 is an estimate of the change in y corresponding to a 1 unit change inX2whenX1, X31andX4are held constant.%DInterpret b, in this estimated regression equation.b4= 2.6 is an estimate of the change in y correspondinga 1 unit change inwhenX1'X21andX3are held constant.= 3.5 is an estimate of the change in y corresponding to a 1 unit change inb4X4whenX1, X21andX3are held constant.b4= 2.6 is an estimate of the change in y corresponding to a 1 unit change inX3whenX1, X2, and X4 are held constant.b47.6 is an estimate of the change in y corresponding to a 1 unit change inX2whenX1, X31andX3 are held constant.%DD4= -2.4 is an estimate of the change in y corresponding to a 1 unit change inX, whenX31andare held constant.O O (b) Predicty when10, x2 = 5, X3 :X11, andX42.

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 16.7 + 3.5x, - 2.4x2 + 7.6x3 + 2.6x4 (a) Interpret b, in this estimated regression equation. = 3.5 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, = 3.5 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, = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x3 when x,, x2, and x4 are held constant. O b, = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x4 when x,, x2, and x3 are held constant. O b, = -2.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. Interpret b, in this estimated regression equation. O b2 = -2.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x4 are held constant. O b, = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x4 are held constant. O b, = 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 b, = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x4 when x,, x2, and xz are held constant. O b, = -2.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x4 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 x3 when x,, x,, and xg are held constant. O b3 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x3 when x,, x,, and x4 are held constant. O b3 = -2.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x4 are held constant. O b3 = -2.6 is an estimate of the change in y corresponding to a 1 unit change in x4 when x,, x2, and x3 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. Interpret b, in this estimated regression equation. O ba = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x, are held constant. O ba = 3.5 is an estimate of the change in y corresponding to a 1 unit change in xa when x,, x2, and x3 are held constant. O ba = 2.6 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 b4 = 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 ba = -2.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant.