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.)xi12345yi4661114(a)Use sŷ* = s 1n + (x* − x)2Σ(xi − x)2 to estimate the standard deviation of ŷ* when x = 4. (b)Use ŷ* ± tα/2sŷ* to develop a 95% confidence interval for the expected value of y when x = 4. to (c)Use spred = s 1 + 1n + (x* − x)2Σ(xi − x)2 to estimate the standard deviation of an individual value of y when x = 4. (d)Use ŷ* ± tα/2spred to develop a 95% prediction interval for y when x = 4. to 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; 134Y;461114(x* - x)2E(x, - x)2(a) Use S = sV1+to estimate the standard deviation of ý* when x = 4.(b) Use ý* + t,ias to develop a 95% confidence interval for the expected value of y when x = 4.to(x* - x)2E(x, - x)21(c) Use spred = sV 1 +- +to estimate the standard deviation of an individual value of y when x = 4.n(d) Use ý" ± t/25 pred to develop a 95% prediction interval for y when x = 4.to

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

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.) xi 1 2 3 4 5 yi 4 6 6 11 14 (a) Use sŷ* = s 1 n + (x* − x)2 Σ(xi − x)2

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.) xi 1 2 3 4 5 yi 4 6 6 11 14 (a) Use sŷ* = s 1 n + (x* − x)2 Σ(xi − x)2

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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_i	1	2	3	4	5
y_i	4	6	6	11	14

(a)

Use

s_ŷ* = s

(x* − x)²

Σ(x_i − x)²

to estimate the standard deviation of

ŷ*

when

x = 4.

(b)

Use

ŷ* ± t_α/2s_ŷ*

to develop a 95% confidence interval for the expected value of y when

x = 4.

(c)

Use

s_pred = s

1 +

(x* − x)²

Σ(x_i − x)²

to estimate the standard deviation of an individual value of y when

x = 4.

(d)

Use

ŷ* ± t_α/2s_pred

to develop a 95% prediction interval for y when

x = 4.

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
3
4
Y;
4
6
11
14
(x* - x)2
E(x, - x)2
(a) Use S = sV
1
+
to estimate the standard deviation of ý* when x = 4.
(b) Use ý* + t,ias to develop a 95% confidence interval for the expected value of y when x = 4.
to
(x* - x)2
E(x, - x)2
1
(c) Use spred = sV 1 +- +
to estimate the standard deviation of an individual value of y when x = 4.
n
(d) Use ý" ± t/25 pred to develop a 95% prediction interval for y when x = 4.
to

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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.) X; 1 2 4 5 6 11 14 (x* - x)2 E(x, - x)2 (a) Use s Sye = SV 1 + to estimate the standard deviation of y* when x = 4. (b) Use ý* + taso* to develop a 95% confidence interval for the expected value of y when x = 4. to (x* – x)² I(x, - x)2 (c) Use s. Spred 1 1 +- + to estimate the standard deviation of an individual value of y when x = 4. n (d) Use ý* ±t/25pred to develop a 95% prediction interval for y when x = 4. to