Given are five observations for two variables, x and y. (Round your answers to two decimal places.) 12 3 4 Yi 10 13 1 (a) Use sp = S\ (** - x)2 E(x; - x)2 to estimate the standard deviation of ŷ* when x = 5. (b) Use ŷ* + tSon to develop a 95% confidence interval for the expected value of y when x = 5. to (x* – x)² (c) Use Spred 1 = S\ 1 + to estimate the standard deviation of an individual value of y when x = 5. E(x, – x)² (d) Use ŷ* ± tspred to develop a 95% prediction interval for y when x = 5. to

MATLAB: An Introduction with Applications
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Given are five observations for two variables, x and y. (Round your answers to two decimal places.)
1
3
4
5
Yi
7
6.
10
13
(a) Use s*
(x* - >
1
+
to estimate the standard deviation of ŷ* when x = 5.
E(x; - x)2
(b) Use ý* ± tSo* to develop a 95% confidence interval for the expected value of y when x = 5.
to
(x* – x)2
E(x; - x)2
1
= s\/ 1 +
-
(c) Use Spred
to estimate the standard deviation of an individual value of y when x = 5.
(d) Use ŷ* ± t2spred to develop a 95% prediction interval for y when x = 5.
to
Transcribed Image Text:Given are five observations for two variables, x and y. (Round your answers to two decimal places.) 1 3 4 5 Yi 7 6. 10 13 (a) Use s* (x* - > 1 + to estimate the standard deviation of ŷ* when x = 5. E(x; - x)2 (b) Use ý* ± tSo* to develop a 95% confidence interval for the expected value of y when x = 5. to (x* – x)2 E(x; - x)2 1 = s\/ 1 + - (c) Use Spred to estimate the standard deviation of an individual value of y when x = 5. (d) Use ŷ* ± t2spred to develop a 95% prediction interval for y when x = 5. to
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