mate the standard deviation of ŷ * when a = 4. sing the following expression: elop a 95% confidence interval for the expected value of y when a = 4. to sing the following equation: (x * –#)² mate the standard deviation of an individual value of y when a = 4. sing the following expression: tta/2®pred elop a 95% prediction interval for y when æ = 4. to

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given are five observations for two variables, x and y. Use Table 2 of Appendix B.
1.
2
3
4
5
4
8
5
11
13
Round your answers to two decimal places.
a. Using the following equation:
1
S* = s
(x * -F)?
-
Estimate the standard deviation of û * when x = 4.
b. Using the following expression:
ŷ * ±ta/28g•
Develop a 95% confidence interval for the expected value of y when a = 4.
to
c. Using the following equation:
1
1+
(x * -7)?
Spred = 8
(Ti – E)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
Transcribed Image Text:Given are five observations for two variables, x and y. Use Table 2 of Appendix B. 1. 2 3 4 5 4 8 5 11 13 Round your answers to two decimal places. a. Using the following equation: 1 S* = s (x * -F)? - Estimate the standard deviation of û * when x = 4. b. Using the following expression: ŷ * ±ta/28g• Develop a 95% confidence interval for the expected value of y when a = 4. to c. Using the following equation: 1 1+ (x * -7)? Spred = 8 (Ti – E)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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