The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 24.1370 + 0.5704x_ + 0.4950X2 (a) Interpret b, in this estimated regression equation. Ob₁ = 24.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. O b₁ = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Ob₁: = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Ob₁ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₁ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Interpret b₂ in this estimated regression equation. b₂² = 24.1370 is an estimate of the change in y corresponding to a 1 unit change in x, when x₂ is held constant. Ob₂ = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. 0b₂ Ob₂ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₂ = 0.5704 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 = 170 and x₂ = 330.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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The estimated regression equation for a model involving two independent variables and 10 observations follows.
y = 24.1370 + 0.5704x₁ + 0.4950x₂
(a) Interpret b₁ in this estimated regression equation.
1
O b₁
= 24.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant.
0b₁
= 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
Ob₁:
= 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
b₁ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
O b₁ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in X₁
is held constant.
Interpret b₂ in this estimated regression equation.
when
1x₂
when
1x₂
b2 = 24.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁
b₂² = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant.
0b₂
= 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
Ob₂= = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant.
О 02'
= 0.5704 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 = 170 and X₂ = 330.
is held constant.
Transcribed Image Text:The estimated regression equation for a model involving two independent variables and 10 observations follows. y = 24.1370 + 0.5704x₁ + 0.4950x₂ (a) Interpret b₁ in this estimated regression equation. 1 O b₁ = 24.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant. 0b₁ = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Ob₁: = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₁ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₁ = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in X₁ is held constant. Interpret b₂ in this estimated regression equation. when 1x₂ when 1x₂ b2 = 24.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ b₂² = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. 0b₂ = 0.4950 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Ob₂= = 0.5704 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. О 02' = 0.5704 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 = 170 and X₂ = 330. is held constant.
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