In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ý = 17.6 + 3.4x, – 2.5x, + 7.9x3 + 2.9×4 (a) Interpret b, in this estimated regression equation. O b, = -2.5 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, = 3.4 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, = 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 O b = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. = 3.4 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 = -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x4 are held constant. b2 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x,, x2, and x3 are held constant. = -2.5 is an estimate of the change in y corresponding to a 1 unit change in x2 when x, x3, and x, are held constant. b2 = 3.4 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 b2 = 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. %3D Interpret b, in this estimated regression equation. O bz = 3.4 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 = -2.5 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 bz = -2.9 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 bz = 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 bz = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2 and x4 are held constant. Interpret b, in this estimated regression equation. 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, = 2.9 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 bą = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2 and x4 are held constant. %3D O bą = 3.4 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 b4 = -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, xX3, and x, are held constant. (b) Predict y when x, = 10, x, = 5, x3 = 1, and x4 = 2.

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In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
Ў %3D 17.6 + 3.4х, - 2.5х, + 7.9х; + 2.9х4
(a) Interpret b, in this estimated regression equation.
O b, = -2.5 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, = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant.
O b, = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x4 are held constant.
= 2.9 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 b1
= 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant.
O b1
Interpret b, in this estimated regression equation.
b2
= -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x are held constant.
b2
= 2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X2, and x3 are held constant.
b2
= -2.5 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 b2
= 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant.
O b2
= 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant.
Interpret b, in this estimated regression equation.
b3
= 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant.
b3
= -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x4 are held constant.
b3
= -2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x3 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,, x3, and x4 are held constant.
O bz = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant.
3.
Interpret b, in this estimated regression equation.
O ba = 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.
4
O b, = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant.
4
O b4 = 2.9 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, = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x.
when
and x, are held constant.
b4
= -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant.
(b) Predict y when x,
10, x, = 5, x3 = 1, and x.
= 2.
=
Transcribed Image Text:In a regression analysis involving 30 observations, the following estimated regression equation was obtained. Ў %3D 17.6 + 3.4х, - 2.5х, + 7.9х; + 2.9х4 (a) Interpret b, in this estimated regression equation. O b, = -2.5 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, = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. O b, = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x4 are held constant. = 2.9 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 b1 = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant. O b1 Interpret b, in this estimated regression equation. b2 = -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x are held constant. b2 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X2, and x3 are held constant. b2 = -2.5 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 b2 = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x, are held constant. O b2 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant. Interpret b, in this estimated regression equation. b3 = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant. b3 = -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, X3, and x4 are held constant. b3 = -2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x3 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,, x3, and x4 are held constant. O bz = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x,, and x, are held constant. 3. Interpret b, in this estimated regression equation. O ba = 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. 4 O b, = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. 4 O b4 = 2.9 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, = 3.4 is an estimate of the change in y corresponding to a 1 unit change in x. when and x, are held constant. b4 = -2.5 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. (b) Predict y when x, 10, x, = 5, x3 = 1, and x. = 2. =
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