(a) Interpret b, in this estimated regression equation. O b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x,2 when x, X3, and x4 are held constant. O b, - -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, x3, and x4 are held constant. O b, = 7.9 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 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 x2, X3, and x4 are held constant. Interpret b, in this estimated regression equation. O b2 = 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, = 7.9 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 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, X3, and x4 are held constant. O b2 = -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 b2 = -2.2 is an estimate of the change in y corresponding to a1 unit change in x, when x2, X3, and x4 are held constant. %3D Interpret b, in this estimated regression equation. O b; = 3.7 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 b3 = 7.9 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; = -2.6 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, = 7.9 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, X3ı and x, are held constant. Interpret b, in this estimated regression equation. O b, = 2.6 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, = 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 b, = 3.7 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, = 7.9 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 b, = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x2 when x, x3, and x4 are held constant. (b) Predict y when x, - 10, x2 - 5, x3 - 1, and x4 - 2.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
ŷ = 18.6 + 3.7x, - 2.2x2 + 7.9x3 + 2.6x4
(a) Interpret b, in this estimated regression equation.
= 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.
= -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 b1
= 7.9 is an estimate of the change in y corresponding to a1 unit change in x, when x,, x2, and x, are held constant.
O b,
O b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x,
= 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant.
when
and x4
are held constant.
Interpret b, in this estimated regression equation.
O b2 = 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.
= 7.9 is an estimate of the change in y corresponding to a1 unit change in x,
O b2
O b, = 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.
when
and x, are held constant.
%3D
O b2 =
= -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.
= -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 b2
Interpret b, in this estimated regression equation.
= 3.7 is an estimate of the change in y corresponding to a1 unit change in x3 when x,, X2,
O b3
and
X4
are held constant.
O b3 = 7.9 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 b3 = -2.6 is an estimate of the change in y corresponding to a 1 unit change in x4
when
Xq, X2, and x3
are held constant.
O b,
= 7.9 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 = -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 b, = 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 b, = 2.6 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 b4 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X2, and x3 are held constant.
b. = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x,
when x,, X3, and x, are held constant.
%3D
4
= -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 b4
(b) Predict y when x, = 10, x2 = 5, x3 = 1, and x4 = 2.
Transcribed Image Text:In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 18.6 + 3.7x, - 2.2x2 + 7.9x3 + 2.6x4 (a) Interpret b, in this estimated regression equation. = 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. = -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 b1 = 7.9 is an estimate of the change in y corresponding to a1 unit change in x, when x,, x2, and x, are held constant. O b, O b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. when and x4 are held constant. Interpret b, in this estimated regression equation. O b2 = 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. = 7.9 is an estimate of the change in y corresponding to a1 unit change in x, O b2 O b, = 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. when and x, are held constant. %3D O b2 = = -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. = -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 b2 Interpret b, in this estimated regression equation. = 3.7 is an estimate of the change in y corresponding to a1 unit change in x3 when x,, X2, O b3 and X4 are held constant. O b3 = 7.9 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 b3 = -2.6 is an estimate of the change in y corresponding to a 1 unit change in x4 when Xq, X2, and x3 are held constant. O b, = 7.9 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 = -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 b, = 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 b, = 2.6 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 b4 = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X2, and x3 are held constant. b. = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant. %3D 4 = -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 b4 (b) Predict y when x, = 10, x2 = 5, x3 = 1, and x4 = 2.
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