Extracted text: In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ý = 19.7 + 3.7x, - 2.2x, + 7.6x3 + 2.8x4 (a) Interpret b, in this estimated regression equation. = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x3 when x,, 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. O b, = 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, = -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 b, = 2.8 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, X2 and X3 are held constant. Interpret b, in this estimated regression equation. = 2.8 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 b, = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x4 are held constant. = 7.6 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 b2 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 b2 = -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. 4 Interpret b, in this estimated regression equation. O b3 = 7.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x, are held constant. = 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. O b3 O bz = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant. = -2.8 is an estimate of the change in y corresponding to a 1 unit change in x. O b3 when x. X1, X2: and dx, are held constant. b3 = -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. Interpret b, in this estimated regression equation. O b, = 7.6 is an estimate of the change in y corresponding to a1 unit change in x, when x,, X31 and X3 are held constant. = 2.8 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, O b4 and X4 are held constant. O bą = 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 b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant. = -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 ba (b) Predict y when x, = 10, x, = 5, x3 = 1, and x4 = 2.