(a) Estimate the standard deviation of " when x = 8. (b) Develop a 95% confidence interval for the expected value of y when x = 8. to (c) Estimate the standard deviation of an individual value of y when x = 8. (d) Develop a 95% prediction interval for y when x = 8. to
(a) Estimate the standard deviation of " when x = 8. (b) Develop a 95% confidence interval for the expected value of y when x = 8. to (c) Estimate the standard deviation of an individual value of y when x = 8. (d) Develop a 95% prediction interval for y when x = 8. to
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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.)
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x_i & 3 & 12 & 6 & 20 & 14 \\
\hline
y_i & 50 & 45 & 55 & 5 & 15 \\
\hline
\end{array}
\]
(a) Estimate the standard deviation of \( \hat{y}^* \) when \( x = 8 \).
[Text box for answer]
(b) Develop a 95% confidence interval for the expected value of \( y \) when \( x = 8 \).
[Text box for lower bound] to [Text box for upper bound]
(c) Estimate the standard deviation of an individual value of \( y \) when \( x = 8 \).
[Text box for answer]
(d) Develop a 95% prediction interval for \( y \) when \( x = 8 \).
[Text box for lower bound] to [Text box for upper bound]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7b76bbb-1122-4c75-9c9e-2038b7c47d4e%2F9b88e989-7814-4335-92ee-45c6238bdfe6%2Ff7h8o9b_processed.png&w=3840&q=75)
Transcribed Image Text: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.)
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x_i & 3 & 12 & 6 & 20 & 14 \\
\hline
y_i & 50 & 45 & 55 & 5 & 15 \\
\hline
\end{array}
\]
(a) Estimate the standard deviation of \( \hat{y}^* \) when \( x = 8 \).
[Text box for answer]
(b) Develop a 95% confidence interval for the expected value of \( y \) when \( x = 8 \).
[Text box for lower bound] to [Text box for upper bound]
(c) Estimate the standard deviation of an individual value of \( y \) when \( x = 8 \).
[Text box for answer]
(d) Develop a 95% prediction interval for \( y \) when \( x = 8 \).
[Text box for lower bound] to [Text box for upper bound]
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