In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 16.7 + 3.5x1 − 2.3x2 + 7.9x3 + 2.9x4 (a)Interpret b1 in this estimated regression equation. -b1 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b1 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. -b1 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. -b1 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. -b1 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.Interpret b2 in this estimated regression equation. -b2 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, 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 x1, x2, and x3 are held constant. - b2 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b2 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. -b2 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. Interpret b3 in this estimated regression equation. -b3 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b3 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. - b3 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b3 = −2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. -b3 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. Interpret b4 in this estimated regression equation. -b4 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. -b4 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. -b4 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x3 are held constant. -b4 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b4 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. (b)Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2. ??

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 16.7 + 3.5x1 − 2.3x2 + 7.9x3 + 2.9x4 (a)Interpret b1 in this estimated regression equation. -b1 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b1 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. -b1 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. -b1 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. -b1 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.Interpret b2 in this estimated regression equation. -b2 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, 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 x1, x2, and x3 are held constant. - b2 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b2 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. -b2 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. Interpret b3 in this estimated regression equation. -b3 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b3 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. - b3 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b3 = −2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. -b3 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. Interpret b4 in this estimated regression equation. -b4 = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. -b4 = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x4 are held constant. -b4 = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x2 when x1, x3, and x3 are held constant. -b4 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x3 when x1, x2, and x4 are held constant. -b4 = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x4 when x1, x2, and x3 are held constant. (b)Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2. ??

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a regression analysis involving 30 observations, the following estimated regression equation was obtained.

ŷ = 16.7 + 3.5x₁ − 2.3x₂ + 7.9x₃ + 2.9x₄

(a)Interpret b₁ in this estimated regression equation.

-b₁ = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x₃ when x₁, x₂, and x₄ are held constant.

-b₁ = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x₄ when x₁, x₂, and x₃ are held constant.

-b₁ = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂, x₃, and x₄ are held constant.

-b₁ = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁, x₃, and x₄ are held constant.

-b₁ = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂, x₃, and x₄ are held

constant.Interpret b₂ in this estimated regression equation.

-b₂ = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂, 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 x₁, x₂, and x₃ are held constant.

- b₂ = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x₃ when x₁, x₂, and x₄ are held constant.

-b₂ = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁, x₃, and x₄ are held constant.

-b₂ = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂, x₃, and x₄ are held constant.

Interpret b₃ in this estimated regression equation.

-b₃ = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x₃ when x₁, x₂, and x₄ are held constant.

-b₃ = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁, x₃, and x₄ are held constant.

- b₃ = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x₃ when x₁, x₂, and x₄ are held constant.

-b₃ = −2.9 is an estimate of the change in y corresponding to a 1 unit change in x₄ when x₁, x₂, and x₃ are held constant.

-b₃ = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂, x₃, and x₄ are held constant.

Interpret b₄ in this estimated regression equation.

-b₄ = 3.5 is an estimate of the change in y corresponding to a 1 unit change in x₄ when x₁, x₂, and x₃ are held constant.

-b₄ = −2.3 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁, x₃, and x₄ are held constant.

-b₄ = 7.9 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁, x₃, and x₃ are held constant.

-b₄ = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x₃ when x₁, x₂, and x₄ are held constant.

-b₄ = 2.9 is an estimate of the change in y corresponding to a 1 unit change in x₄ when x₁, x₂, and x₃ are held constant.

(b)Predict y when

x₁ = 10, x₂ = 5, x₃ = 1, and x₄ = 2. ??

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