You may need to use the appropriate appendix table or technology to answer this question.Given are five observations for two variables, \( x \) and \( y \). (Round your answers to two decimal places.)\[\begin{array}{|c|c|c|c|c|c|}\hlinex_i & 1 & 2 & 3 & 4 & 5 \\\hliney_i & 4 & 7 & 6 & 11 & 15 \\\hline\end{array}\](a) Use \( s_{\hat{y}^*} = s \sqrt{\frac{1}{n} + \frac{(x^* - \bar{x})^2}{\sum (x_i - \bar{x})^2}} \) to estimate the standard deviation of \( \hat{y}^* \) when \( x = 4 \).\[ \text{(Answer Box)} \](b) Use \( \hat{y}^* \pm t_{\alpha/2}s_{\hat{y}^*} \) to develop a 95% confidence interval for the expected value of \( y \) when \( x = 4 \).\[ \text{(Answer Box)} \text{ to } \text{(Answer Box)} \](c) Use \( s_{\text{pred}} = s \sqrt{1 + \frac{1}{n} + \frac{(x^* - \bar{x})^2}{\sum (x_i - \bar{x})^2}} \) to estimate the standard deviation of an individual value of \( y \) when \( x = 4 \).\[ \text{(Answer Box)} \](d) Use \( \hat{y}^* \pm t_{\alpha/2}s_{\text{pred}} \) to develop a 95% prediction interval for \( y \) when \( x = 4 \).\[ \text{(Answer Box)} \text{ to } \text{(Answer Box)} \]

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X; Y₁ Use Sy* = 1 2 3 4 7 + لیا Jse Spred = S√ 1 + 4 6 11 15 (x*- x)² Σ(x, − x)2 n 5 Use ŷ* ± ta/25* to develop a 95% confidence interval for the expected value of y when x = 4. to + to estimate the standard deviation of ŷ* when x = 4. (x*- x)² Σ(Χ, − x)2 - to estimate the standard deviation of an individual value of y wh

X; Y₁ Use Sy* = 1 2 3 4 7 + لیا Jse Spred = S√ 1 + 4 6 11 15 (x- x)² Σ(x, − x)2 n 5 Use ŷ ± ta/25* to develop a 95% confidence interval for the expected value of y when x = 4. to + to estimate the standard deviation of ŷ* when x = 4. (x*- x)² Σ(Χ, − x)2 - to estimate the standard deviation of an individual value of y wh

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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