Given are five observations for two variables, x and y. (Round your answers to two decimal places.) x₁ 3 12 6 20 14 Y; 60 35 55 15 15 (a) Estimate the standard deviation of ý* when x = 9. 3.8490 (b) Develop a 95% confidence interval for the expected value of y when x = 9. 44.73 x to 93.27 x (c) Estimate the standard deviation of an individual value of y when x = 9. 13.54 (d) Develop a 95% prediction interval for y when x = 9.

MATLAB: An Introduction with Applications
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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.)
x₁ 3 12 6 20 14
Y₁
60 35 55 15 15
(a) Estimate the standard deviation of when x = 9.
3.8490
(b) Develop a 95% confidence interval for the expected value of y when x = 9.
44.73
X to 93.27
X
(c) Estimate the standard deviation of an individual value of y when x = 9.
13.54
x
(d) Develop a 95% prediction interval for y when x = 9.
22.46
X to 49.54
X
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.) x₁ 3 12 6 20 14 Y₁ 60 35 55 15 15 (a) Estimate the standard deviation of when x = 9. 3.8490 (b) Develop a 95% confidence interval for the expected value of y when x = 9. 44.73 X to 93.27 X (c) Estimate the standard deviation of an individual value of y when x = 9. 13.54 x (d) Develop a 95% prediction interval for y when x = 9. 22.46 X to 49.54 X
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