The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 29.1570 + 0.5509×1 + 0.4940X2 (a) Interpret b₁ in this estimated regression equation. x2 O = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in X1 when b₁ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₁ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. b₁ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in x₁ when 1x₂ is held constant. Ob₁ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Interpret b₂ in this estimated regression equation. b₂ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x2 when X1 is held constant. ob₂ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. b₂ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. is held constant.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The estimated regression equation for a model involving two independent variables and 10 observations follows.
ŷ = 29.1570 +0.5509x₁ + 0.4940x2
(a) Interpret b₁ in this estimated regression equation.
1
Ob₁ 0.4940 is an estimate of the change in y corresponding to a 1 unit change in X₁ when
X2
b₁ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
b₁ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
X2
is held constant.
b₁ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in when
X1
1
b₁ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x₂ when X₁ is held constant.
Interpret b₂ in this estimated regression equation.
b₂ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in
x2
when X1 is held constant.
when X₁
x2
is held constant.
b2 0.5509 is an estimate of the change in y corresponding to a 1 unit change in
b₂ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
b₂ = = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in X1 when
X2
is held constant.
b₂ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
(b) Predict y when X₁ = 180 and X₂
is held constant.
= 310.
Transcribed Image Text:The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 29.1570 +0.5509x₁ + 0.4940x2 (a) Interpret b₁ in this estimated regression equation. 1 Ob₁ 0.4940 is an estimate of the change in y corresponding to a 1 unit change in X₁ when X2 b₁ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₁ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. X2 is held constant. b₁ = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in when X1 1 b₁ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x₂ when X₁ is held constant. Interpret b₂ in this estimated regression equation. b₂ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x2 when X1 is held constant. when X₁ x2 is held constant. b2 0.5509 is an estimate of the change in y corresponding to a 1 unit change in b₂ = 0.4940 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₂ = = 0.5509 is an estimate of the change in y corresponding to a 1 unit change in X1 when X2 is held constant. b₂ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. (b) Predict y when X₁ = 180 and X₂ is held constant. = 310.
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