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.) x, 1 2 3 4 Y 4 7 6 11 5 14 1 (a) Use Syx = S + n (x*-x)2 Σ(x; - x)² to estimate the standard deviation of ŷ* when x = 3. 0.89 X (b) Use * ±ta/25x to develop a 95% confidence interval for the expected value of y when x = 3. 5.37 X to 11.03 x 1 (c) Use Spred = S 1+ + n (x* -x)2 Σ(x-x)² 2.18 x to estimate the standard deviation of an individual value of y when x = 3. (d) Use ŷ* ±ta/25 pred to develop a 95% prediction interval for y when x = 3. 1.26 X to 14.14
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.) x, 1 2 3 4 Y 4 7 6 11 5 14 1 (a) Use Syx = S + n (x*-x)2 Σ(x; - x)² to estimate the standard deviation of ŷ* when x = 3. 0.89 X (b) Use * ±ta/25x to develop a 95% confidence interval for the expected value of y when x = 3. 5.37 X to 11.03 x 1 (c) Use Spred = S 1+ + n (x* -x)2 Σ(x-x)² 2.18 x to estimate the standard deviation of an individual value of y when x = 3. (d) Use ŷ* ±ta/25 pred to develop a 95% prediction interval for y when x = 3. 1.26 X to 14.14
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.)
X, 1 2 3 4
5
C
Yi
4 7 6
11 14
(a) Use Sy*
s
=S
1
n
+
SV
(x* - x)²
Σ(x; - x)²
to estimate the standard deviation of ŷ* when x = 3.
0.89
×
(b) Use ŷ* ± tα/25ŷ* to develop a 95% confidence interval for the expected value of y when x = 3.
5.37
X to 11.03
X
1
(c) Use s
pred = SV
1+
+
(** - x)²
to estimate the standard deviation of an individual value of y when x = 3.
Σ(x; - x)²
2.18
X
Tab
(d) Use ŷ* ± ta/25 pred to develop a 95% prediction interval for y when x = 3.
1.26
X to 14.14
×
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