You may need to use the appropriate technology to answer this question. Consider the data. X; 2 6 9 | 13 20 20 11 28 25
You may need to use the appropriate technology to answer this question. Consider the data. X; 2 6 9 | 13 20 20 11 28 25
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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![You may need to use the appropriate technology to answer this question.
Consider the data.
X; 2
9
13
20
Y; 9
20
11
28
25
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
(b) Test for a significant relationship by using the t test. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B, 2 0
Hại B, < 0
O Ho: P1
Ha: B1
+ 0
= 0
O Ho: Po = 0
Ha: Po * 0
O Ho: Po * 0
H3: Po
= 0
= 0
Hai ß, # 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho: We cannot conclude that the relationship between x and y is significant.
Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
Do not reject Ho. We conclude that the relationship between x and y is significant.
Reject Ho: We conclude that the relationship between x and y is significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc00f41a8-3019-411c-9841-b4d3b90602dd%2F30373bfa-09d2-48d6-b4c9-3ee26e9a1ee0%2F585j1w7_processed.png&w=3840&q=75)
Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Consider the data.
X; 2
9
13
20
Y; 9
20
11
28
25
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
(b) Test for a significant relationship by using the t test. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B, 2 0
Hại B, < 0
O Ho: P1
Ha: B1
+ 0
= 0
O Ho: Po = 0
Ha: Po * 0
O Ho: Po * 0
H3: Po
= 0
= 0
Hai ß, # 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho: We cannot conclude that the relationship between x and y is significant.
Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
Do not reject Ho. We conclude that the relationship between x and y is significant.
Reject Ho: We conclude that the relationship between x and y is significant.
![State your conclusion.
O Reject Ho. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
(c) Use the F test to test for a significant relationship. Use a = 0.05.
State the null and alternative hypotheses.
Ho: Bo + 0
Ha: Po = 0
O Ho: Po = 0
Ha: Bo + 0
O Ho: B1 = 0
O Ho: B, + 0
Hai B1 = 0
O Ho: P1z0
Ha: B < 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
O Reject H.. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
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Transcribed Image Text:State your conclusion.
O Reject Ho. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
(c) Use the F test to test for a significant relationship. Use a = 0.05.
State the null and alternative hypotheses.
Ho: Bo + 0
Ha: Po = 0
O Ho: Po = 0
Ha: Bo + 0
O Ho: B1 = 0
O Ho: B, + 0
Hai B1 = 0
O Ho: P1z0
Ha: B < 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
O Reject H.. We cannot conclude that the relationship between x and y is significant.
O Do not reject Ho. We conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
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