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.) x; 1 2 3 4 5 4 6. 12 13 (a) Use s Sgn = sV 1 + (x* - x)2 to estimate the standard deviation of y when x = 4. E(x, - x) (b) Use î* + t2S * to develop a 95% confidence interval for the expected value of y when x = 4. to (x* - x)2 I(x, - x)2 (c) Use s Spred 1+ 1 to estimate the standard deviation of an individual value of y when x = 4. in (d) Use ý" ± t25pred to develop a 95% prediction interval for y when x = 4. 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.) x; 1 2 3 4 5 4 6. 12 13 (a) Use s Sgn = sV 1 + (x* - x)2 to estimate the standard deviation of y when x = 4. E(x, - x) (b) Use î* + t2S * to develop a 95% confidence interval for the expected value of y when x = 4. to (x* - x)2 I(x, - x)2 (c) Use s Spred 1+ 1 to estimate the standard deviation of an individual value of y when x = 4. in (d) Use ý" ± t25pred to develop a 95% prediction interval for y when x = 4. 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
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Given are five observations for two variables, x and y. (Round your answers to two decimal places.)
X; 1 2 3
4
5
4
6
12
13
(x* - x)2
1
(a) Use sy = sV
to estimate the standard deviation of ý* when x = 4.
E(x, - x)2
n
(b) Use ý* + t/2a to develop a 95% confidence interval for the expected value of y when x = 4.
to
(x* - x)2
I(x, - x)2
(c) Use s
= S
pred
1 +* +
to estimate the standard deviation of an individual value of y when x = 4.
n
(d) Use ỹ* ± ta/25 pred
to develop a 95% prediction interval for y when x = 4.
to"
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.)
X; 1 2 3
4
5
4
6
12
13
(x* - x)2
1
(a) Use sy = sV
to estimate the standard deviation of ý* when x = 4.
E(x, - x)2
n
(b) Use ý* + t/2a to develop a 95% confidence interval for the expected value of y when x = 4.
to
(x* - x)2
I(x, - x)2
(c) Use s
= S
pred
1 +* +
to estimate the standard deviation of an individual value of y when x = 4.
n
(d) Use ỹ* ± ta/25 pred
to develop a 95% prediction interval for y when x = 4.
to
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