The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 27.1870 + 0.5908x, + 0.4930x2 (a) Interpret b, in this estimated regression equation. b, = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in 1 X2 when X1 is held constant. O b, = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. b, = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. O b, = 27.1870 is an estimate of the change in y corresponding to a 1 unit change in 1 X1 when X2 is held constant. O b, = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. Interpret b, in this estimated regression equation. b2 = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. b2 = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. b2 = 27.1870 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. b, = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. b2 = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. (b) Predict y when x, = 160 and x, = 340. %3D

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The estimated regression equation for a model involving two independent variables and 10 observations follows.
ý = 27.1870 + 0.5908x1
+ 0.4930x2
(a) Interpret b, in this estimated regression equation.
b1
= 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x,
when
X1
is held constant.
b1
= 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x,
when
X2
is held constant.
b1
= 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x,
when
X2
is held constant.
O b1
= 27.1870 is an estimate of the change in y corresponding to a 1 unit change in x,
is held constant.
when
X2
b1
= 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when
X1
is held constant.
Interpret b, in this estimated regression equation.
= 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x,
O b2
is held constant.
when
X2
b2
= 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x,
when
X1
is held constant.
= 27.1870 is an estimate of the change in y corresponding to a 1 unit change in x,
when
X2
is held constant.
= 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant.
= 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x.,
when
X2
is held constant.
(b) Predict
when
X1
= 160 and x,
= 340.
Transcribed Image Text:The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 27.1870 + 0.5908x1 + 0.4930x2 (a) Interpret b, in this estimated regression equation. b1 = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, when X1 is held constant. b1 = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, when X2 is held constant. b1 = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when X2 is held constant. O b1 = 27.1870 is an estimate of the change in y corresponding to a 1 unit change in x, is held constant. when X2 b1 = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when X1 is held constant. Interpret b, in this estimated regression equation. = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, O b2 is held constant. when X2 b2 = 0.5908 is an estimate of the change in y corresponding to a 1 unit change in x, when X1 is held constant. = 27.1870 is an estimate of the change in y corresponding to a 1 unit change in x, when X2 is held constant. = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x, when x, is held constant. = 0.4930 is an estimate of the change in y corresponding to a 1 unit change in x., when X2 is held constant. (b) Predict when X1 = 160 and x, = 340.
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