Based on a sample of n = 28, the least-squares method was used to develop the prediction line \( \hat{Y}_i = 8 + 3X_i \). In addition, \( S_{YX} = 2.3 \), \( \bar{X} = 7 \), and \[\sum_{i=1}^{n} \left( X_i - \bar{X} \right)^2 = 28\].Complete parts (a) through (c) below.a. **Construct a 90% confidence interval estimate of the population mean response for X = 5.**\[ \underline{\hspace{1cm}} \le \mu_{Y|X=5} \le \underline{\hspace{1cm}} \](Round to two decimal places as needed.)b. **Construct a 90% prediction interval of an individual response for X = 5.**\[ \underline{\hspace{1cm}} \le Y_{X=5} \le \underline{\hspace{1cm}} \](Round to two decimal places as needed.)c. **Compare the results of (a) and (b) with those for X = 7, which are \( 28.26 \le \mu_{Y|X=7} \le 29.74 \) and \( 25.01 \le Y_{X=7} \le 32.99 \). Which intervals are wider? Why?**The intervals for X = \(\begin{array}{c} \text{____} \\ \text{(dropdown)} \end{array}\) are wider because X = 7 is \(\begin{array}{c} \text{____} \\ \text{(dropdown)} \end{array}\) the mean \( \bar{X} \).

Answered: Image /qna-images/answer/904b4c42-5f41-4b1a-a180-78c80fb37245.jpg

Answered: Based on a sample of n = 28, the…

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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