The estimated regression equation for a multiple regression model involving two independent variables and 10 observations is given by: y = 29.1570 +0.5107x₁ +0.4910x2 (a) Interpret b, in this estimated regression equation. when X2 is held constant. Ob₁ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x, when x₂ is held constant. Ob, = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in x₁ Ob₁ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x2 when x₁ is held constant. Ob₁ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in X2 when X1 is held constant. Ob₁ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x2 is held constant. Interpret b, in this estimated regression equation. b₂ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₂ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x2 when x₁ 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. Ob₂ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₂ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x2 when X1 is held constant. (b) Predict y when x₁ = 170 and x₂ = 340.(Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The estimated regression equation for a multiple regression model involving two independent variables and 10 observations is given by:
y = 29.1570+ 0.5107x₁ + 0.4910x₂
(a) Interpret b, in this estimated regression equation.
Ob₁ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
Ob₁ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in X₁ when X2 is held constant.
Ob₁ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
Ob₁ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
b₁ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x, when x₂ is held constant.
Interpret b₂ in this estimated regression equation.
2
b₂ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant.
b₂ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x2 when x₁ 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.
b₂ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
b₂ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x, is held constant.
(b) Predict y when x₁ = 170 and x2 = 340.(Round your answer to three decimal places.)
Transcribed Image Text:The estimated regression equation for a multiple regression model involving two independent variables and 10 observations is given by: y = 29.1570+ 0.5107x₁ + 0.4910x₂ (a) Interpret b, in this estimated regression equation. Ob₁ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Ob₁ = 29.1570 is an estimate of the change in y corresponding to a 1 unit change in X₁ when X2 is held constant. Ob₁ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Ob₁ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. b₁ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x, when x₂ is held constant. Interpret b₂ in this estimated regression equation. 2 b₂ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant. b₂ = 0.5107 is an estimate of the change in y corresponding to a 1 unit change in x2 when x₁ 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. b₂ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₂ = 0.4910 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x, is held constant. (b) Predict y when x₁ = 170 and x2 = 340.(Round your answer to three decimal places.)
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