Use the following linear regression equation to answer the questions.x1 = 1.7 + 3.9x2 – 8.5x3 + 2.2x4 Which variables are the explanatory variables? (Select all that apply.)x2x4x1x3(b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.constant?x2 coefficient?x3 coefficient?x4 coefficient?(c) If x2 = 6, x3 = 7, and x4 = 4, what is the predicted value for x1? (Use 1 decimal place.)Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1?Suppose x2 increased by 2 units. What would be the expected change in x1?Suppose x2 decreased by 4 units. What would be the expected change in x1?(e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.454. Construct a 99% confidence interval for the coefficient of x2. (Use 2 decimal places.)lower limit?upper limit?(f) Using the information of part (e) and level of significance 10%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.)t?t critical ±?

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately. x1 = 1.7 + 3.9x2 – 8.5x3 + 2.2x4 b. From the regression equation, constant=1.7 x2 coefficient=3.9 x3 coefficient=-8.5 x4 coefficient=2.2 c) If x2 = 6, x3 = 7, and x4 = 4, The predicted value for x1: x1 = 1.7 +( 3.9*6) – (8.5*7)+( 2.2*4) =-25.6 Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. The coefficient of x2 is 3.9 The corresponding change in x1: The expected chance in x1 is increases by 3.9 units by increasing 1 unit in x2, keeping x3 and x4 were held at fixed.

Answered: Use the following linear regression…

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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Use the following linear regression equation to answer the questions.

x₁ = 1.7 + 3.9x₂ – 8.5x₃ + 2.2x₄

_{_{Which variables are the explanatory variables? (Select all that apply.)}}

x₂x₄x₁x₃

(b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.

constant	?
x₂ coefficient	?
x₃ coefficient	?
x₄ coefficient	?

Suppose x₃ and x₄ were held at fixed but arbitrary values and x₂ increased by 1 unit. What would be the corresponding change in x₁?

Suppose x₂ increased by 2 units. What would be the expected change in x₁?

Suppose x₂ decreased by 4 units. What would be the expected change in x₁?

(e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x₂ is 0.454. Construct a 99% confidence interval for the coefficient of x₂. (Use 2 decimal places.)

lower limit	?
upper limit	?

(f) Using the information of part (e) and level of significance 10%, test the claim that the coefficient of x₂ is different from zero. (Use 2 decimal places.)

t	?
t critical ±	?

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