Given are five observations for two variables, x and y. Use Table 2 of Appendix B. xi 1 2 3 4 5 Yi 3 7 6 12 13 Round your answers to two decimal places. a. Using the following equation: 1 S₁* * = S + n (x * -x)² Σ(α; - π)2 Estimate the standard deviation of ŷ* when x = 4. b. Using the following expression: ŷ*±ta/2sy* Develop a 95% confidence interval for the expected value of y when x = 4. to c. Using the following equation: 1 Spred = 8 1+ + n (x *-)² (xi)² Estimate the standard deviation of an individual value of y when x = 4. d. Using the following expression: ŷ* ±ta/28pred Develop a 95% prediction interval for y when x = 4. to
Given are five observations for two variables, x and y. Use Table 2 of Appendix B. xi 1 2 3 4 5 Yi 3 7 6 12 13 Round your answers to two decimal places. a. Using the following equation: 1 S₁* * = S + n (x * -x)² Σ(α; - π)2 Estimate the standard deviation of ŷ* when x = 4. b. Using the following expression: ŷ*±ta/2sy* Develop a 95% confidence interval for the expected value of y when x = 4. to c. Using the following equation: 1 Spred = 8 1+ + n (x *-)² (xi)² Estimate the standard deviation of an individual value of y when x = 4. d. Using the following expression: ŷ* ±ta/28pred 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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Transcribed Image Text:Given are five observations for two variables, x and y. Use Table 2 of Appendix
B.
xi
1
2
3
4
5
Yi
3
7
6
12
13
Round your answers to two decimal places.
a. Using the following equation:
1
S₁*
* = S
+
n
(x * -x)²
Σ(α; - π)2
Estimate the standard deviation of ŷ* when x = 4.
b. Using the following expression:
ŷ*±ta/2sy*
Develop a 95% confidence interval for the expected value of y when x = 4.
to
c. Using the following equation:
1
Spred = 8
1+ +
n
(x
*-)²
(xi)²
Estimate the standard deviation of an individual value of y when x = 4.
d. Using the following expression:
ŷ* ±ta/28pred
Develop a 95% prediction interval for y when x = 4.
to
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