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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.) xi 1 2 3 4 5 yi 4 8 4 11 13 (a) Use sŷ* = s   1 n +  (x* − x)2 Σ(xi − x)2to 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)2to 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

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.) xi 1 2 3 4 5 yi 4 8 4 11 13 (a) Use sŷ* = s   1 n +  (x* − x)2 Σ(xi − x)2to 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)2to 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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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.)
xi
 1 2 3 4 5
yi
 4 8 4 11 13
(a)
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
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.) 1 2 3 4 4 8 4 11 13 (x* - x)2 E(x; - x)2 (a) Use to estimate the standard deviation of ŷ* when x = 5. 1.48 (b) Use ý* + ts* to develop a 95% confidence interval for the expected value of y when x = 5. 8.19 X to 13.21 (x* - x)2 E(x; - x)2 (c) Use Spred 1 + to estimate the standard deviation of an individual value of y when x = 5. 3.18 (d) Use ý* ± t2Spred to develop a 95% prediction interval for y when x = 5. 8.19 X to 13.21 +
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.) 1 2 3 4 4 8 4 11 13 (x* - x)2 E(x; - x)2 (a) Use to estimate the standard deviation of ŷ* when x = 5. 1.48 (b) Use ý* + ts* to develop a 95% confidence interval for the expected value of y when x = 5. 8.19 X to 13.21 (x* - x)2 E(x; - x)2 (c) Use Spred 1 + to estimate the standard deviation of an individual value of y when x = 5. 3.18 (d) Use ý* ± t2Spred to develop a 95% prediction interval for y when x = 5. 8.19 X to 13.21 +
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