Given are five observations for two variables, z and y. Use Table 2 of Appendix B. 2( 1 2 3 3/4 3 8 Round your answers to two decimal places. a. Using the following equation: Sg. = 8 n'Σ - 7) Estimate the standard deviation of when z = 3. b. Using the following expression: • Develop a 95% confidence interval for the expected value of y when z = 3. to c. Using the following equation: Spred=8 + + 72 Σ(2-2)² Estimate the standard deviation of an individual value of y when z=3. 5 45 12 13

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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M3
Given are five observations for two variables, a and y. Use Table 2 of Appendix B.
24
1
2
3
3/4
3
8
Round your answers to two decimal places.
a. Using the following equation:
S;.
<=8
11
Σ(x - 2)²
Estimate the standard deviation of ŷ when z = 3.
b. Using the following expression:
* ±ta/28;
Develop a 95% confidence interval for the expected value of y when z = 3.
to
c. Using the following equation:
Spred=8
Σ(7)
Estimate the standard deviation of an individual value of y when = 3.
d. Using the following expression:
ŷ* ±ta/28 pred
Develop a 95% prediction interval for y when a = 3.
to
5
4 5
12 13
Transcribed Image Text:Given are five observations for two variables, a and y. Use Table 2 of Appendix B. 24 1 2 3 3/4 3 8 Round your answers to two decimal places. a. Using the following equation: S;. <=8 11 Σ(x - 2)² Estimate the standard deviation of ŷ when z = 3. b. Using the following expression: * ±ta/28; Develop a 95% confidence interval for the expected value of y when z = 3. to c. Using the following equation: Spred=8 Σ(7) Estimate the standard deviation of an individual value of y when = 3. d. Using the following expression: ŷ* ±ta/28 pred Develop a 95% prediction interval for y when a = 3. to 5 4 5 12 13
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