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Given are five observations for two variables, and y. Use Table 2 of Appendix B. Ti 1 Yi 4 Round your answers to two decimal places. a. Using the following equation: 1 S₁ = 8 + n Σ(x₁ - x)² D Estimate the standard deviation of * when z = 4. b. Using the following expression: ŷ* ±ta/28* Develop a 95% confidence interval for the expected value of y when z = 4. to c. Using the following equation: 1 8pred=8 1+ + 72 Σ(x - 7) Estimate the standard deviation of an individual value of y when z-4. d. Using the following expression: ŷto/2 pred Develop a 95% prediction interval for y when a to 2 7 345 5 11 13

Given are five observations for two variables, and y. Use Table 2 of Appendix B. Ti 1 Yi 4 Round your answers to two decimal places. a. Using the following equation: 1 S₁ = 8 + n Σ(x₁ - x)² D Estimate the standard deviation of * when z = 4. b. Using the following expression: ŷ* ±ta/28* Develop a 95% confidence interval for the expected value of y when z = 4. to c. Using the following equation: 1 8pred=8 1+ + 72 Σ(x - 7) Estimate the standard deviation of an individual value of y when z-4. d. Using the following expression: ŷto/2 pred Develop a 95% prediction interval for y when a to 2 7 345 5 11 13

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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Given are five observations for two variables, and y. Use Table 2 of Appendix B. O Xi 1 Yi O Round your answers to two decimal places. a. Using the following equation: 1 S₁ = 8 + (x*-=)² Σ(x₁ - x)² n Estimate the standard deviation of * when = 4. b. Using the following expression: ŷta/28 Develop a 95% confidence interval for the expected value of y when z = 4. to c. Using the following equation: 1 8pred=8 1+ + 72 Σ( – =) Estimate the standard deviation of an individual value of y when z=4. d. Using the following expression: ŷ* ±to/28 pred Develop a 95% prediction interval for y when a = 4. to 4 2 7 3 4 5 5 11 13
Transcribed Image Text:Given are five observations for two variables, and y. Use Table 2 of Appendix B. O Xi 1 Yi O Round your answers to two decimal places. a. Using the following equation: 1 S₁ = 8 + (x*-=)² Σ(x₁ - x)² n Estimate the standard deviation of * when = 4. b. Using the following expression: ŷta/28 Develop a 95% confidence interval for the expected value of y when z = 4. to c. Using the following equation: 1 8pred=8 1+ + 72 Σ( – =) Estimate the standard deviation of an individual value of y when z=4. d. Using the following expression: ŷ* ±to/28 pred Develop a 95% prediction interval for y when a = 4. to 4 2 7 3 4 5 5 11 13
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