Use the following linear regression equation to answer the questions.x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4 a) Suppose that n = 8 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.356. Construct a 95% confidence interval for the coefficient of x2. (Use 2 decimal places.)lower limit_____upper limit_____b) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.)t = ____critical t = _____

We have given a regression equation and we have to answer the question related to coefficient of one…

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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Question

Use the following linear regression equation to answer the questions.

x₁ = 2.0 + 3.6x₂ – 7.8x₃ + 2.1x₄

a) Suppose that n = 8 data points were used to construct the given regression equation and that the standard error for the coefficient of x₂ is 0.356. Construct a 95% confidence interval for the coefficient of x₂. (Use 2 decimal places.)

lower limit	_____
upper limit	_____

b) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of x₂ is different from zero. (Use 2 decimal places.)

t = ____

critical t = _____

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