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Given are five observations for two variables, x and y. (Round your answers to two decimal places.) xi 1 2 3 4 5 yi 4 7 6 10 13   Use  sŷ* = s   1 n +  (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of  ŷ*  when  x = 5.   (b) Use  ŷ* ± t?/2sŷ*  to develop a 95% confidence interval for the expected value of y when  x = 5.  to  (c) Use  spred = s   1 +  1 n +  (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of an individual value of y when  x = 5.   (d) Use  ŷ* ± t?/2spred  to develop a 95% prediction interval for y when  x = 5.  to

Given are five observations for two variables, x and y. (Round your answers to two decimal places.) xi 1 2 3 4 5 yi 4 7 6 10 13   Use  sŷ* = s   1 n +  (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of  ŷ*  when  x = 5.   (b) Use  ŷ* ± t?/2sŷ*  to develop a 95% confidence interval for the expected value of y when  x = 5.  to  (c) Use  spred = s   1 +  1 n +  (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of an individual value of y when  x = 5.   (d) Use  ŷ* ± t?/2spred  to develop a 95% prediction interval for y when  x = 5.  to

MATLAB: An Introduction with Applications
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
Given are five observations for two variables, x and y. (Round your answers to two decimal places.)
xi
 1 2 3 4 5
yi
 4 7 6 10 13
 
Use 
sŷ* = s
 
1
n
 + 
(x* − x)2
Σ(xi − x)2
 to estimate the standard deviation of 
ŷ*
 when 
x = 5.
 
(b)
Use 
ŷ* ± t?/2sŷ*
 to develop a 95% confidence interval for the expected value of y when 
x = 5.
 to 
(c)
Use 
spred = s
  1 + 
1
n
 + 
(x* − x)2
Σ(xi − x)2
 to estimate the standard deviation of an individual value of y when 
x = 5.
 
(d)
Use 
ŷ* ± t?/2spred
 to develop a 95% prediction interval for y when 
x = 5.
 to 
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